<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3-mathml3.dtd">
<article article-type="research-article" dtd-version="1.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Robot. AI</journal-id>
<journal-title-group>
<journal-title>Frontiers in Robotics and AI</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Robot. AI</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2296-9144</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1732294</article-id>
<article-id pub-id-type="doi">10.3389/frobt.2025.1732294</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>EMG-controlled knee orthosis lowers effort in sit-to-stand</article-title>
<alt-title alt-title-type="left-running-head">Scheidl et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/frobt.2025.1732294">10.3389/frobt.2025.1732294</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Scheidl</surname>
<given-names>Marc-Anton</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3178997"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Conceptualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Formal analysis" vocab-term-identifier="https://credit.niso.org/contributor-roles/formal-analysis/">Formal Analysis</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Funding acquisition" vocab-term-identifier="https://credit.niso.org/contributor-roles/funding-acquisition/">Funding acquisition</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Investigation" vocab-term-identifier="https://credit.niso.org/contributor-roles/investigation/">Investigation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Project administration" vocab-term-identifier="https://credit.niso.org/contributor-roles/project-administration/">Project administration</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Resources" vocab-term-identifier="https://credit.niso.org/contributor-roles/resources/">Resources</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Software" vocab-term-identifier="https://credit.niso.org/contributor-roles/software/">Software</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Supervision" vocab-term-identifier="https://credit.niso.org/contributor-roles/supervision/">Supervision</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Visualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/visualization/">Visualization</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing - original draft</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x26; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/">Writing - review and editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Schuh</surname>
<given-names>Kristin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3328600"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Formal analysis" vocab-term-identifier="https://credit.niso.org/contributor-roles/formal-analysis/">Formal Analysis</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Visualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/visualization/">Visualization</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing - original draft</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x26; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/">Writing - review and editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sierotowicz</surname>
<given-names>Marek</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1100149"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Formal analysis" vocab-term-identifier="https://credit.niso.org/contributor-roles/formal-analysis/">Formal Analysis</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x26; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/">Writing - review and editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Betsch</surname>
<given-names>Marcel</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/654749"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x26; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/">Writing - review and editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Castellini</surname>
<given-names>Claudio</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/67697"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x26; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/">Writing - review and editing</role>
</contrib>
</contrib-group>
<aff id="aff1">
<label>1</label>
<institution>Assistive Intelligent Robotics Lab, AIBE, Friedrich-Alexander Universit&#xe4;t</institution>, <city>Erlangen</city>, <country country="DE">Germany</country>
</aff>
<aff id="aff2">
<label>2</label>
<institution>Orthopaedics Clinic, Universit&#xe4;tsklinikum Erlangen</institution>, <city>Erlangen</city>, <country country="DE">Germany</country>
</aff>
<aff id="aff3">
<label>3</label>
<institution>Institute of Robotics and Mechatronics, German Aerospace Center (DLR)</institution>, <city>Oberpfaffenhofen</city>, <country country="DE">Germany</country>
</aff>
<author-notes>
<corresp id="c001">
<label>&#x2a;</label>Correspondence: Marc-Anton Scheidl, <email xlink:href="mailto:marc.scheidl@fau.de">marc.scheidl@fau.de</email>
</corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-01-08">
<day>08</day>
<month>01</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>12</volume>
<elocation-id>1732294</elocation-id>
<history>
<date date-type="received">
<day>25</day>
<month>10</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>06</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>12</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2026 Scheidl, Schuh, Sierotowicz, Betsch and Castellini.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Scheidl, Schuh, Sierotowicz, Betsch and Castellini</copyright-holder>
<license>
<ali:license_ref start_date="2026-01-08">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<sec>
<title>Objective</title>
<p>Pilot study with ten healthy adults, testing whether a lightweight, low-cost knee orthosis equipped with EMG-driven impedance control reduces quadriceps muscle effort during the sit-to-stand (STS) transition.</p>
</sec>
<sec>
<title>Methods</title>
<p>Ten able-bodied adults performed 15 paced STS repetitions under three conditions: without orthosis (No-Ortho), orthosis worn unpowered (Ortho-OFF; friction-compensated), and orthosis actively powered (Ortho-ON). Surface electromyography (EMG) was recorded using 8-channel thigh bracelets on both legs. EMG signals from the braced leg were processed using ridge regression and slew-rate limiting to generate a normalized control signal that dynamically scales knee stiffness while maintaining constant damping. Median values and trial-to-trial variance of the average rectified EMG (ARV) were analyzed across four distinct movement phases (SIT, UP, STAND, DOWN) using linear mixed-effects models with log-transformed data and Bonferroni-adjusted planned contrasts.</p>
</sec>
<sec>
<title>Results</title>
<p>Powered assistance significantly reduced median bilateral ARV by 11% during the UP phase and 15% during the DOWN phase <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">adj</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.001</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>, with greater reductions (up to 21%) observed on the braced limb. Variance in muscle activation decreased substantially (by up to 44%) on the braced leg during the DOWN phase, suggesting more repeatable activation patterns and neuromuscular consistency across trials. No significant compensatory activation was observed in the contralateral limb. Additionally, within-session adaptation trends were observed as participants progressively increased preparatory torque during the SIT phase, while UP-phase ARV trended downward.</p>
</sec>
<sec>
<title>Conclusion</title>
<p>A lightweight, affordable knee orthosis employing a rapid (<inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>10 s), minimally calibrated EMG-driven impedance controller effectively reduces quadriceps muscle activation during STS without compromising natural movement coordination. Torque capacity limitations (16 Nm) may limit effectiveness for heavier users, and further research is needed to evaluate kinematic fidelity fully.</p>
</sec>
</abstract>
<kwd-group>
<kwd>EMG control</kwd>
<kwd>human-robot interaction</kwd>
<kwd>impedance control</kwd>
<kwd>intelligent orthotics</kwd>
<kwd>knee exoskeleton</kwd>
<kwd>rehabilitation robotics</kwd>
<kwd>sit-to-stand</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. This work was (partially) supported by the German Federal Ministry of Education and Research (BMBF) under the Robotics Institute Germany (RIG).</funding-statement>
</funding-group>
<counts>
<fig-count count="9"/>
<table-count count="3"/>
<equation-count count="4"/>
<ref-count count="65"/>
<page-count count="00"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Biomedical Robotics</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<label>1</label>
<title>Introduction</title>
<sec id="s1-1">
<label>1.1</label>
<title>Clinical motivation</title>
<p>Sit-to-stand (STS) transfers are a fundamental activity of daily living, but become markedly challenging after total knee arthroplasty (TKA). Although TKA effectively relieves pain, many patients exhibit persistent quadriceps weakness and altered biomechanics, which unloads the operated limb and over-reliance on the contralateral side (<xref ref-type="bibr" rid="B42">Mizner and Snyder-Mackler, 2005</xref>). Similar mobility limitations and widespread use of lower-limb orthoses are reported in neurological and age-related conditions such as hemiplegia, cerebral palsy, diplegia, and frailty (<xref ref-type="bibr" rid="B21">Dereshgi et al., 2021</xref>; <xref ref-type="bibr" rid="B4">Balkman et al., 2022</xref>). Early restoration of symmetric STS is therefore a primary goal of rehabilitation.</p>
</sec>
<sec id="s1-2">
<label>1.2</label>
<title>Passive and active knee orthoses</title>
<p>Post-operative rigid braces stabilize the joint but offer no active torque (<xref ref-type="bibr" rid="B7">Barrera S&#xe1;nchez et al., 2022</xref>). Users therefore adopt compensatory strategies such as trunk flexion or arm push-off (<xref ref-type="bibr" rid="B35">Kralj et al., 1990</xref>; <xref ref-type="bibr" rid="B34">Kotake et al., 1993</xref>). Active knee orthoses (AKOs) have the ability to augment knee extension during high-torque tasks (<xref ref-type="bibr" rid="B32">Kim et al., 2015</xref>; <xref ref-type="bibr" rid="B52">Shepherd and Rouse, 2017</xref>; <xref ref-type="bibr" rid="B63">Zhang et al., 2021</xref>). Typical STS moments of <inline-formula id="inf3">
<mml:math id="m3">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mspace width="0.3333em"/>
<mml:mn>0.4</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>-<inline-formula id="inf4">
<mml:math id="m4">
<mml:mrow>
<mml:mn>0.9</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="normal">1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B54">Sibella et al., 2003</xref>; <xref ref-type="bibr" rid="B34">Kotake et al., 1993</xref>) often exceed what compact actuators can deliver continuously, so intelligent control is essential. Experimental studies confirm meaningful off-loading: Choi <italic>et al.</italic> reported a <inline-formula id="inf5">
<mml:math id="m5">
<mml:mrow>
<mml:mn>19</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> quadriceps average rectified EMG value (ARV) reduction when torque assistance was triggered at four tested time points (<xref ref-type="bibr" rid="B15">Choi et al., 2021</xref>); a self-aligning rigid AKO reduced peak electromyography (EMG) by <inline-formula id="inf6">
<mml:math id="m6">
<mml:mrow>
<mml:mn>29</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> in a post-stroke case (<xref ref-type="bibr" rid="B49">Sarkisian et al., 2022</xref>). Nonetheless, most evaluations involved healthy participants, bilateral or tethered prototypes, and rarely analyzed variability or user adaptation to the workload.</p>
</sec>
<sec id="s1-3">
<label>1.3</label>
<title>EMG-driven impedance control</title>
<p>Impedance control modulates stiffness and damping online (<xref ref-type="bibr" rid="B29">Huo et al., 2022</xref>; <xref ref-type="bibr" rid="B37">Liu et al., 2017</xref>; <xref ref-type="bibr" rid="B59">Villa-Parra et al., 2017</xref>). When gains scale with real-time EMG, the assistance becomes effort-proportional (<xref ref-type="bibr" rid="B31">Karavas et al., 2015</xref>). <xref ref-type="bibr" rid="B15">Choi et al. (2021)</xref> reported <inline-formula id="inf7">
<mml:math id="m7">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>19</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> reductions in quadriceps ARV during step-up and STS in healthy individuals using EMG-triggered knee assistance, while <xref ref-type="bibr" rid="B49">Sarkisian et al. (2022)</xref> demonstrated <inline-formula id="inf8">
<mml:math id="m8">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>29</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> peak EMG reductions and improved comfort in a post-stroke case with a self-aligning powered knee orthosis. Most recently, <xref ref-type="bibr" rid="B26">Gunnell et al. (2025)</xref> showed that an EMG-controlled powered knee exoskeleton reduced peak quadriceps EMG by <inline-formula id="inf9">
<mml:math id="m9">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>32</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and increased affected-side knee torque by <inline-formula id="inf10">
<mml:math id="m10">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>59</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> in stroke survivors when providing up to <inline-formula id="inf11">
<mml:math id="m11">
<mml:mrow>
<mml:mn>0.5</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi>N</mml:mi>
<mml:mi>m</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi>k</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> of assistive torque. Together, these findings establish proportional EMG-based impedance control as a promising strategy for knee support during STS. We adopt this paradigm to deliver effort-proportional stiffness without mode switching.</p>
</sec>
<sec id="s1-4">
<label>1.4</label>
<title>Neuromuscular adaptation and usability</title>
<p>Repeated-measures training with a powered exoskeleton resulted in progressive decreases in EMG over 10&#x2013;15 sessions, indicating motor adaptation (<xref ref-type="bibr" rid="B33">Kim et al., 2021</xref>). Short familiarity protocols reduced NASA-TLX workload to 34 and increased System Usability Scale scores by more than <inline-formula id="inf12">
<mml:math id="m12">
<mml:mrow>
<mml:mn>30</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> among first-time users compared to untrained users (<xref ref-type="bibr" rid="B36">Lau and Mombaur, 2022</xref>). Acceptance studies emphasize an unobtrusive design to avoid abandonment among older adults (<xref ref-type="bibr" rid="B53">Shore et al., 2022</xref>).</p>
</sec>
<sec id="s1-5">
<label>1.5</label>
<title>Research gap</title>
<p>Bespoke, high-end exoskeletons or bulky do-it-yourself (DIY) solutions dominate current evidence. From a translational perspective, many powered knee orthoses remain prohibitively expensive and bulky, relying on custom frames and specialized actuation hardware. In contrast, retrofitting CE-certified postoperative braces with off-the-shelf actuators promises lighter, modular, and more affordable devices at the cost of reduced torque capacity. Whereas <xref ref-type="bibr" rid="B26">Gunnell et al. (2025)</xref> focused on high-torque assistance in stroke survivors using laboratory-grade hardware and high-fidelity EMG, we investigate whether a compact, retrofitted brace with lower torque capacity <inline-formula id="inf13">
<mml:math id="m13">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>0.23</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi>N</mml:mi>
<mml:mi>m</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi>k</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> and consumer-grade EMG can still provide meaningful unloading in healthy users during STS. We thus view our work as complementary, targeting low-cost hardware and minimal calibration as prerequisites for future translational studies. Using ARV features as a proxy for muscle demand, we report a pilot study in healthy subjects to determine whether a budget-friendly solution reduces effort while largely preserving natural STS kinematics. Quantitative gait and joint-angle analyses to confirm kinematic fidelity will be addressed in future work.</p>
<p>The present work addresses this gap with the following contributions:<list list-type="roman-lower">
<list-item>
<p>We retrofit a compact, CE-certified postoperative knee brace with low-cost off-the-shelf actuators and dry-electrode EMG bracelets, yielding a back-drivable, <inline-formula id="inf14">
<mml:math id="m14">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>1.1</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mi mathvariant="normal">g</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> active knee orthosis that requires only a brief <inline-formula id="inf15">
<mml:math id="m15">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>10</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> per-user calibration.</p>
</list-item>
<list-item>
<p>We implement an EMG-driven impedance controller that scales knee stiffness proportionally to a ridge-regressed EMG envelope, thereby delivering effort-proportional assistance without explicit phase-dependent mode switching.</p>
</list-item>
<list-item>
<p>In a paced STS paradigm with healthy adults, we quantify not only median reductions in quadriceps activation but also changes in trial-to-trial variance across four biomechanically defined movement phases, using linear mixed-effects models with log-transformed ARV.</p>
</list-item>
<list-item>
<p>We analyse within-session adaptation of both muscle activation and orthosis torque utilisation, demonstrating that participants rapidly learn to exploit the available assistance without provoking contralateral compensation.</p>
</list-item>
</list>
</p>
<p>Together, these findings demonstrate that a budget-conscious, minimally calibrated EMG-impedance controller can meaningfully unload knee extensors during STS while preserving natural coordination, thereby motivating future clinical studies in postoperative and neurologically impaired populations.</p>
</sec>
</sec>
<sec sec-type="materials|methods" id="s2">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2-1">
<label>2.1</label>
<title>Motorized orthosis</title>
<p>Our back-drivable active knee orthosis (<xref ref-type="fig" rid="F1">Figure 1</xref> center) is based on a modified GENUDYN&#xae;CI STEP THRU knee orthosis [<xref ref-type="bibr" rid="B56">Sporlastic (2023)</xref>, N&#xfc;rtingen] retrofitted with an AK80-9 brushless actuator [gear ratio 9:1, <xref ref-type="bibr" rid="B18">CubeMars (2023)</xref>, Nanchang]. An MD80 v2.1 controller [<xref ref-type="bibr" rid="B40">MABRobotics (2025)</xref>, Pozna&#x144;], capable of 18 Nm peak and 9 Nm continuous torque, provided position, velocity, and impedance control via integrated encoders. The on board controller firmware limits peak torque to <inline-formula id="inf16">
<mml:math id="m16">
<mml:mrow>
<mml:mn>16</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. In the unpowered state, the AK80-9 exhibits a measured backdrive torque of approximately <inline-formula id="inf17">
<mml:math id="m17">
<mml:mrow>
<mml:mn>0.5</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> <xref ref-type="bibr" rid="B18">CubeMars (2023)</xref>. When operated in the MD80 controller&#x2019;s built-in transparency mode, our measurements confirmed a mean residual reflected friction of below <inline-formula id="inf18">
<mml:math id="m18">
<mml:mrow>
<mml:mn>0.05</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>0.03</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, ensuring effectively back-drivable behavior. The total device mass, including the actuator, brace, and custom mount, was <inline-formula id="inf19">
<mml:math id="m19">
<mml:mrow>
<mml:mtext>mass</mml:mtext>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>1.1</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mtext>kg</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>, equally shared between the M-size orthosis <inline-formula id="inf20">
<mml:math id="m20">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>580</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">g</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> and motor &#x2b; brace <inline-formula id="inf21">
<mml:math id="m21">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>550</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">g</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>. This is comparable to lightweight tethered knee exosuits with offboard actuators (<inline-formula id="inf22">
<mml:math id="m22">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>1.1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.7</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mi mathvariant="normal">g</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> on-body mass, actuators not included) (<xref ref-type="bibr" rid="B61">Witte et al., 2017</xref>; <xref ref-type="bibr" rid="B45">Park et al., 2020</xref>; <xref ref-type="bibr" rid="B62">Yu et al., 2022</xref>) and substantially lighter than high-torque portable knee exoskeletons (<inline-formula id="inf23">
<mml:math id="m23">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>3.6</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mi mathvariant="normal">g</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> including electronics) by <xref ref-type="bibr" rid="B26">Gunnell et al. (2025)</xref>. The bill-of-materials cost of the prototype is on the order of <inline-formula id="inf24">
<mml:math id="m24">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>1500</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> &#x20ac; excluding labour (orthosis: <inline-formula id="inf25">
<mml:math id="m25">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>800</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> &#x20ac;; motor &#x2b; driver <inline-formula id="inf26">
<mml:math id="m26">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>700</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> &#x20ac;), and assembly can be completed within less than 30 min using standard workshop tools. Although this still requires specialized actuators, it is substantially lower in both cost and complexity than bespoke multi-DoF exoskeletons reported in the literature, which typically rely on custom frames and actuators (<xref ref-type="bibr" rid="B52">Shepherd and Rouse, 2017</xref>; <xref ref-type="bibr" rid="B63">Zhang et al., 2021</xref>; <xref ref-type="bibr" rid="B48">Sarkisian et al., 2020</xref>). Typical peak knee extension moments during STS range approximately from <inline-formula id="inf27">
<mml:math id="m27">
<mml:mrow>
<mml:mn>0.4</mml:mn>
<mml:mtext>&#x2013;</mml:mtext>
<mml:mn>1.5</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="normal">1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>, depending on task setup and population (<xref ref-type="bibr" rid="B34">Kotake et al., 1993</xref>; <xref ref-type="bibr" rid="B54">Sibella et al., 2003</xref>). With a <inline-formula id="inf28">
<mml:math id="m28">
<mml:mrow>
<mml:mn>16</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> torque ceiling and our cohort&#x2019;s mean body mass of <inline-formula id="inf29">
<mml:math id="m29">
<mml:mrow>
<mml:mn>70.8</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mi mathvariant="normal">g</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, our device&#x2019;s nominal assistance <inline-formula id="inf30">
<mml:math id="m30">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">norm</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.23</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>0.04</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="normal">1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>, spans roughly <inline-formula id="inf31">
<mml:math id="m31">
<mml:mrow>
<mml:mn>15</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>57</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> of reported STS moments, depending on the reference value within this broad range.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>(left) Schematic of EMG bracelet and knee orthosis placement on both thighs. (middle) Experimental sit-to-stand setup with the active knee orthosis worn on the right leg. EMG bracelet is rotated by 90&#xb0; for visibility. (right) Custom 3D-printed motor-brace mount connecting the AK80-9 actuator to the polycentric knee joint of the orthosis.</p>
</caption>
<graphic xlink:href="frobt-12-1732294-g001.tif">
<alt-text content-type="machine-generated">Illustration and photos of a knee orthosis system. The left shows a diagram with labeled Myo-EMG sensors on thighs and a knee orthosis. The center shows a person wearing the orthosis with sensors attached. The right displays a detailed view of a component of the device.</alt-text>
</graphic>
</fig>
<p>For heavier users or faster, more explosive transfers, this torque ceiling will be reached earlier, limiting the achievable unloading. The custom 3D-printed brace (see <xref ref-type="fig" rid="F1">Figure 1</xref> right) connects the actuator via a linear push-rod, accommodating the orthosis&#x2019;s polycentric knee joint and preserving natural kinematics. The source files can be downloaded from <xref ref-type="bibr" rid="B50">Scheidl et al. (2024)</xref>. The system was operated using a Raspberry Pi 4B with headless Debian-based software (<xref ref-type="bibr" rid="B47">Raspbian OS, Raspberry Pi Ltd, 2025</xref>), communicating wirelessly via UDP with our external signal-processing pipeline.</p>
</sec>
<sec id="s2-2">
<label>2.2</label>
<title>EMG acquisition, preprocessing and control-design</title>
<sec id="s2-2-1">
<label>2.2.1</label>
<title>Acquisition: hardware and sensor positioning</title>
<p>Surface electromyography (sEMG) was acquired using two <xref ref-type="bibr" rid="B58">Thalmic Labs (2023)</xref> MYO bracelets, each providing eight dry-electrode channels sampled at 200 Hz. Chosen for practical considerations such as affordability, ease of use, and suitability for rapid prototyping (<xref ref-type="bibr" rid="B41">Mendez et al., 2017</xref>; <xref ref-type="bibr" rid="B5">Bangaru et al., 2020</xref>; <xref ref-type="bibr" rid="B17">Cognolato et al., 2018</xref>), these devices reliably capture global muscle activity for simple, single-degree-of-freedom tasks like STS and have been validated in various prosthetic user studies (<xref ref-type="bibr" rid="B11">Brusamento et al., 2020</xref>; <xref ref-type="bibr" rid="B9">Boschmann et al., 2021</xref>; <xref ref-type="bibr" rid="B23">Fajardo et al., 2021</xref>). The bracelets were positioned circumferentially on the proximal thigh, approximately 30% along the line from the anterior-superior iliac spine (ASIS) to the superior patellar margin (see <xref ref-type="fig" rid="F1">Figure 1</xref> left). In this configuration, each bracelet extended from the medial to the lateral aspect of the anterior thigh, i.e., from the &#x201c;inner&#x201d; to the &#x201c;outer&#x201d; quadriceps region. This arrangement was chosen to prioritize coverage of the knee extensor musculature (vastus medialis, rectus femoris, vastus lateralis), while accepting some inevitable cross-talk from neighbouring musculature and hip flexors. In particular, the biarticular rectus femoris spans both the hip and the knee, so hip flexion and extension can modulate the recorded activity. Additional variations in electrode positioning and spacing due to thigh circumference and femoral length differences among participants were given. Although this placement slightly deviated from SENIAM recommendations to avoid interference from the orthosis shell, capturing signals from the upper quadriceps extensor muscles (vastus medialis, rectus femoris, and vastus lateralis) was successful <xref ref-type="bibr" rid="B6">Barbero et al. (2012)</xref>. The ridge regression approach employed here offers inherent robustness to shifts in electrode placement or anatomical variations, enabling rapid, user-specific calibration in seconds without the need for precise muscle targeting, facilitating a &#x201c;plug-and-play&#x201d;, layperson-friendly application. Dry electrodes are inherently more sensitive to sweat, skin-electrode impedance changes, and minor bracelet shifts. We mitigated these factors by normalizing EMG to an MVC-based calibration and by using ridge regression, which distributes weights across channels and is less affected by local artefacts or cross-talk. Short calibration times and the possibility to recalibrate within seconds further reduce the practical impact of slow drift.</p>
</sec>
<sec id="s2-2-2">
<label>2.2.2</label>
<title>IMU acquisition, calibration, and forward kinematics</title>
<p>Body-worn inertial measurement units (IMUs, BNO08X, <inline-formula id="inf32">
<mml:math id="m32">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>200</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mtext>Hz</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>) were mounted on trunk and lower-limb segments to record segment orientations for offline phase segmentation. Quaternion-based forward kinematics with anthropometric segment parameters (<xref ref-type="bibr" rid="B22">Drillis et al., 1964</xref>) provided estimates the Center of Mass (CoM) relative motion, particularly the onset of vertical movement, and allowed robust detection of STS phase transitions. The IMU data were not used for real-time control.</p>
</sec>
<sec id="s2-2-3">
<label>2.2.3</label>
<title>Preprocessing: filtering and intent detection</title>
<p>Our full control pipeline can be seen in <xref ref-type="fig" rid="F2">Figure 2</xref>. For our control, the EMG bracelet on the instrumented (right) thigh was used. EMG from the contralateral leg was recorded for offline analysis of symmetry and contralateral activation, but did not influence the control signal. Each EMG channel of the right-leg bracelet underwent full-wave rectification and was then processed through a zero-phase, second-order Butterworth low-pass filter (cut-off frequency 1 Hz) to extract the linear envelope, referred to as the average rectified value (ARV). This low cut-off smooths potentially noisy signals from the employed dry-electrodes and stabilizes the ridge-regression mapping at the cost of a modest temporal lag on the order of a few hundred milliseconds. Analytically, combining the <inline-formula id="inf33">
<mml:math id="m33">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">z</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> envelope with the asymmetric slew-rate limiter yields an effective rise time of approximately 250&#x2013;300 ms from a step-like EMG increase at rest to reaching the <inline-formula id="inf34">
<mml:math id="m34">
<mml:mrow>
<mml:mn>16</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> motor torque limit at 90&#xb0; knee flexion, which is well within typical real-time budgets <inline-formula id="inf35">
<mml:math id="m35">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>300</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> reported for myoelectric control (<xref ref-type="bibr" rid="B55">Smith et al., 2011</xref>; <xref ref-type="bibr" rid="B24">Farrell and Weir, 2007</xref>; <xref ref-type="bibr" rid="B30">Igual et al., 2019</xref>; <xref ref-type="bibr" rid="B57">Tam et al., 2021</xref>; <xref ref-type="bibr" rid="B3">Attig et al., 2017</xref>). The envelope signals were subsequently downsampled to 50 Hz to reduce computational load and concatenated into an eight-dimensional feature vector <inline-formula id="inf36">
<mml:math id="m36">
<mml:mrow>
<mml:mi mathvariant="bold">x</mml:mi>
<mml:mo>&#x2208;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="double-struck">R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>8</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> representing the global activation pattern of the braced thigh. A ridge regression estimator mapped this vector to a scalar effort estimate <inline-formula id="inf37">
<mml:math id="m37">
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">&#x302;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>f</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="bold">x</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="disp-formula" rid="e1">Equation 1</xref>), which was used to modulate stiffness. Thus, control relied on a global activation measure for the assisted thigh rather than a single muscle channel. It was trained online over a 10-s calibration period: 5 s of rest (baseline, <inline-formula id="inf38">
<mml:math id="m38">
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) followed by 5 s of leg extension with maximum voluntary contraction (MVC, <inline-formula id="inf39">
<mml:math id="m39">
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) while seated. Post calibration, EMG vectors <inline-formula id="inf40">
<mml:math id="m40">
<mml:mrow>
<mml:mi mathvariant="bold">x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> were normalized to the range [0,1], and model weights <inline-formula id="inf41">
<mml:math id="m41">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="bold">w</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> were fixed for the remainder of the session.<disp-formula id="e1">
<mml:math id="m42">
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">&#x302;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="bold">w</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x22a4;</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mi mathvariant="bold">x</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>b</mml:mi>
<mml:mo>,</mml:mo>
<mml:mspace width="1em"/>
<mml:munder>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold">w</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:munder>
<mml:mstyle displaystyle="true">
<mml:munder>
<mml:mrow>
<mml:mo>&#x2211;</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:munder>
</mml:mstyle>
<mml:mo stretchy="false">&#x2016;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">&#x302;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msup>
<mml:mrow>
<mml:mo stretchy="false">&#x2016;</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3bb;</mml:mi>
<mml:mo stretchy="false">&#x2016;</mml:mo>
<mml:mi mathvariant="bold">w</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mo stretchy="false">&#x2016;</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>EMG processing and EMG-based stiffness control for the active knee orthosis.</p>
</caption>
<graphic xlink:href="frobt-12-1732294-g002.tif">
<alt-text content-type="machine-generated">Flowchart illustrating an EMG controller system. The high-level EMG controller uses incremental ridge regression with inputs processed through steps like amplification and Butterworth low-pass filtering. It connects to the mid-level stiffness controller, which applies scaling and slew-rate limiting, and outputs to the low-level impedance PD controller. The system measures thigh EMG using MYO bracelets at 200 Hz across eight channels. Outputs are kinematic data, mapping to knee joint actions including joint angle and angular velocity.</alt-text>
</graphic>
</fig>
<p>Because the regression target during calibration is a piecewise constant label (rest versus MVC) rather than a continuous kinematic variable, standard trajectory-tracking metrics such as RMSE versus joint angle are not directly informative. Instead, we verified controller adequacy by confirming that the estimated control signal reliably distinguished between rest and strong activation during the calibration window and produced stable stiffness modulation during STS across all participants.</p>
</sec>
<sec id="s2-2-4">
<label>2.2.4</label>
<title>Control design: scaling and slew-rate limiting</title>
<p>The predicted EMG output <inline-formula id="inf42">
<mml:math id="m43">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">&#x302;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> was linearly mapped to a proportional stiffness gain <inline-formula id="inf43">
<mml:math id="m44">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2208;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mn>0,60</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">d</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="normal">1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>. This mapping was heuristically determined during preliminary tests, ensuring sufficient responsiveness and comfort. At approximately <inline-formula id="inf44">
<mml:math id="m45">
<mml:mrow>
<mml:mn>90</mml:mn>
<mml:mo>&#xb0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> knee flexion, a maximum theoretical torque of about <inline-formula id="inf45">
<mml:math id="m46">
<mml:mrow>
<mml:mn>60</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">d</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="normal">1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#xd7;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">d</mml:mi>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>94</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> could be commanded initially, exceeding the motor&#x2019;s actual peak capability <inline-formula id="inf46">
<mml:math id="m47">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>16</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. Practically, this stiffness ensured that minimal EMG activity at seated positions produced near-maximal actuator response, facilitating initial torque assistance. This approach is designed to facilitate high responsiveness during early motion phases and increasingly required active muscle engagement at later stages of extension, leveling and equalizing muscle activation across the full ROM. To mitigate abrupt transients induced by residual noise, the control signal underwent asymmetric first-order slew-rate limiting <xref ref-type="bibr" rid="B14">Chesler and Durfee (1997)</xref>. Here in <xref ref-type="disp-formula" rid="e2">Equation 2</xref>, <inline-formula id="inf47">
<mml:math id="m48">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes the filtered scalar control signal that is subsequently mapped to the proportional stiffness gain <inline-formula id="inf48">
<mml:math id="m49">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>.<disp-formula id="e2">
<mml:math id="m50">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfenced open="{" close="">
<mml:mrow>
<mml:mtable class="cases">
<mml:mtr>
<mml:mtd columnalign="left">
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>up</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">&#x302;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
<mml:mo>,</mml:mo>
<mml:mspace width="1em"/>
</mml:mtd>
<mml:mtd columnalign="left">
<mml:mtext>if&#x2009;</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">&#x302;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3e;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mspace width="2.77695pt" class="tmspace"/>
<mml:mn>0</mml:mn>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>up</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd columnalign="left">
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>down</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">&#x302;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
<mml:mo>,</mml:mo>
<mml:mspace width="1em"/>
</mml:mtd>
<mml:mtd columnalign="left">
<mml:mtext>if&#x2009;</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">&#x302;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mspace width="2.77695pt" class="tmspace"/>
<mml:mn>0</mml:mn>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>down</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>Pilot testing determined appropriate baseline values of <inline-formula id="inf49">
<mml:math id="m51">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>up</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.065</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> (resulting in a rise-time constant of approximately 300 ms at 50 Hz) and <inline-formula id="inf50">
<mml:math id="m52">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>down</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> (allowing immediate reductions). This configuration effectively prevented excessive overshoot while maintaining responsiveness during deactivation.</p>
<p>The filtered scalar output <inline-formula id="inf51">
<mml:math id="m53">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2208;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mn>0,60</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> directly set the proportional stiffness term <inline-formula id="inf52">
<mml:math id="m54">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> in the impedance control law (<xref ref-type="disp-formula" rid="e3">Equation 3</xref>):<disp-formula id="e3">
<mml:math id="m55">
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
<mml:mo>&#x307;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
<mml:mo>&#x307;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>where damping was held constant at <inline-formula id="inf53">
<mml:math id="m56">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.3</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">d</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="normal">1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> to minimize oscillations. Desired joint position <inline-formula id="inf54">
<mml:math id="m57">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and velocity <inline-formula id="inf55">
<mml:math id="m58">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
<mml:mo>&#x307;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> targets were zero (upright steady stance <inline-formula id="inf56">
<mml:math id="m59">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
<mml:mo>&#x307;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>), ensuring assistance torque depended solely on the displacement <inline-formula id="inf57">
<mml:math id="m60">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>, which not only assists rising, but also regulates the downward motion.</p>
<p>
<xref ref-type="fig" rid="F2">Figure 2</xref> provides a block diagram of the control loop: the multi-channel EMG envelope is mapped via ridge regression to a scalar effort estimate <inline-formula id="inf58">
<mml:math id="m61">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">&#x302;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>, which is then processed by the slew-rate limiter to yield <inline-formula id="inf59">
<mml:math id="m62">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. This signal directly sets the proportional stiffness gain <inline-formula id="inf60">
<mml:math id="m63">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, while the desired joint position and velocity remain at zero (upright stance). The resulting impedance law generates a desired torque that is tracked by the low-level current controller of the motor.</p>
<p>Instead of directly commanding joint torque, we modulated joint stiffness <inline-formula id="inf61">
<mml:math id="m64">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> using impedance control. This approach conceptualizes the joint as a virtual spring-damper system, enabling the actuator to absorb contact forces while remaining passively back-drivable. Such behavior mirrors human neuromotor control strategies, where mechanical impedance, particularly stiffness and damping, is dynamically adjusted to stabilize movements and counteract destabilizing forces (<xref ref-type="bibr" rid="B1">Abu-Dakka and Saveriano, 2020</xref>; <xref ref-type="bibr" rid="B12">Burdet et al., 2001</xref>).</p>
<p>Although impedance control principles are often applied in complex rehabilitation exoskeletons for precise trajectory tracking (<xref ref-type="bibr" rid="B38">Liu et al., 2021</xref>), their benefits extend to simpler, single-degree-of-freedom devices such as our knee orthosis. Scaling stiffness rather than directly prescribing torque maintains high compliance, allowing users to adapt their motion paths while intuitively. Increased stiffness during significant deviations provides a biomechanically secure safety margin, effectively minimizing abrupt torque spikes and large impact forces (<xref ref-type="bibr" rid="B1">Abu-Dakka and Saveriano, 2020</xref>; <xref ref-type="bibr" rid="B38">Liu et al., 2021</xref>), accommodating inter-individual variability in strength and biomechanics, and closely aligning robotic assistance with natural human muscle stiffness modulation <xref ref-type="bibr" rid="B65">Zhu et al. (2025)</xref>. For a representative Ortho-ON trial, <xref ref-type="sec" rid="s13">Supplementary Figure S5</xref> visualizes how the right-thigh EMG envelope and the resulting prediction <inline-formula id="inf62">
<mml:math id="m65">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">&#x302;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> command the motor torque over the four phases of one full motion cycle.</p>
</sec>
</sec>
<sec id="s2-3">
<label>2.3</label>
<title>Experimental setup</title>
<p>Ten able-bodied adults (<italic>age</italic> &#x3d; <inline-formula id="inf63">
<mml:math id="m66">
<mml:mrow>
<mml:mn>34.5</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>13.8</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>y (4:female; 6:male), <italic>height</italic> &#x3d; <inline-formula id="inf64">
<mml:math id="m67">
<mml:mrow>
<mml:mn>171.9</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>8.2</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>cm, <italic>weight</italic> &#x3d; <inline-formula id="inf65">
<mml:math id="m68">
<mml:mrow>
<mml:mn>70.8</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>10.4</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mi mathvariant="normal">g</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <italic>BMI</italic> &#x3d; <inline-formula id="inf66">
<mml:math id="m69">
<mml:mrow>
<mml:mn>23.8</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>2.2</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mo>.</mml:mo>
<mml:mtext>&#x2003;</mml:mtext>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="normal">2</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>) were recruited. Exclusion criteria for this study included: untreated injury, neurological disorders, and cardiovascular contraindications. All volunteers provided written informed consent, and the study was approved by the Friedrich-Alexander Universit&#xe4;t ethics board (Ref.23&#x2013;350-B).</p>
<p>Participants executed a Sit-to-Stand <inline-formula id="inf67">
<mml:math id="m70">
<mml:mrow>
<mml:mi>&#x21cc;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> Stand-to-Sit paradigm and returned to the starting position as displayed in <xref ref-type="fig" rid="F3">Figure 3</xref> under three successive conditions: <italic>No-Ortho, Ortho-OFF, and Ortho-ON</italic>.<list list-type="bullet">
<list-item>
<p>
<italic>No-Ortho</italic>: baseline condition without the orthosis, representing the participant&#x2019;s undisturbed knee biomechanics.</p>
</list-item>
<list-item>
<p>
<italic>Ortho-OFF</italic>: orthosis worn, actuators unpowered; a torque compensation routine nulls static friction, leaving only the added mass and residual joint stiffness of the device.</p>
</list-item>
<list-item>
<p>
<italic>Ortho-ON</italic>: active measurement condition in which the orthosis delivers EMG-driven assistance. The proportional stiffness of the impedance controller is set to <inline-formula id="inf68">
<mml:math id="m71">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, while the damping coefficient is held constant at <inline-formula id="inf69">
<mml:math id="m72">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.3</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">d</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="normal">1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> to prevent oscillations.</p>
</list-item>
</list>
</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Sit-To-Stand Cycle with illustration of each phase. Arms crossed in front of torso. Orthosis worn on the right side.</p>
</caption>
<graphic xlink:href="frobt-12-1732294-g003.tif">
<alt-text content-type="machine-generated">A diagram illustrating a person transitioning through four positions: from sitting to standing and then returning to sitting. The figure is shown moving from a seated position to standing with the use of knee braces, labeled as Sit, Up, Stand, and Down, with arrows indicating the progression.</alt-text>
</graphic>
</fig>
<p>For every condition, each subject performed 15 uninterrupted STS cycles with their arms crossed in front of their chest on a rigid, armless chair (seat height: 47 cm). The order of conditions was fixed (No-Ortho <inline-formula id="inf70">
<mml:math id="m73">
<mml:mrow>
<mml:mo>&#x2192;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> Ortho-OFF <inline-formula id="inf71">
<mml:math id="m74">
<mml:mrow>
<mml:mo>&#x2192;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> Ortho-ON) to gradually introduce the device; consequently, potential learning or fatigue across blocks cannot be ruled out and is reported as a limitation. A digital metronome set to 20&#x2009;beats per minute (20&#x2009;bpm: 3 s inter-beat interval) provided auditory cues. At each beat, the participant was instructed to initiate either the concentric (UP) or eccentric (DOWN) transfer, depending on the preceding stable resting state (SIT or STAND). The four resulting phases are thus defined and cycled through as SIT <inline-formula id="inf72">
<mml:math id="m75">
<mml:mrow>
<mml:mo>&#x2192;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> UP <inline-formula id="inf73">
<mml:math id="m76">
<mml:mrow>
<mml:mo>&#x2192;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> STAND <inline-formula id="inf74">
<mml:math id="m77">
<mml:mrow>
<mml:mo>&#x2192;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> DOWN (<xref ref-type="bibr" rid="B51">Schenkman et al., 1990</xref>).</p>
<p>The two baseline measurements (<italic>No-Ortho, Ortho-OFF</italic>) allow quantification of natural performance and the passive mechanical burden introduced by the device, respectively; these serve as references against which the EMG-assisted <italic>Ortho-ON</italic> condition is evaluated.</p>
</sec>
<sec id="s2-4">
<label>2.4</label>
<title>Outcome measures and statistical analysis</title>
<sec id="s2-4-1">
<label>2.4.1</label>
<title>EMG postprocessing and feature rationale</title>
<p>To isolate orthosis effects on muscular activation across the conditions (<italic>No-Ortho, Ortho-OFF, Ortho-ON</italic>) and movement phases, offline EMG signals were high-pass filtered at 20 Hz to minimize motion artifacts while preserving the relevant EMG spectrum. Power-line interference was eliminated using a 50 Hz notch filter (<xref ref-type="bibr" rid="B10">Boyer et al., 2023</xref>). Subsequently, each channel was z-normalized for inter-subject comparability, rectified, and smoothed using a 50 ms sliding window to compute the ARV (offline). ARV features were selected due to its direct correlation with motor unit recruitment and muscle effort (<xref ref-type="bibr" rid="B19">De Luca, 1997</xref>; <xref ref-type="bibr" rid="B64">Zhou and Rymer, 2004</xref>), and its robustness compared to root mean square (RMS), particularly regarding sensitivity to outliers and non-Gaussian amplitude distributions (<xref ref-type="bibr" rid="B16">Clancy and Hogan, 1997</xref>). Lower median ARV features values indicate reduced muscular effort, while decreased ARV features variance denotes enhanced neuromuscular stability and efficient force production (<xref ref-type="bibr" rid="B25">Goubault et al., 2023</xref>).</p>
</sec>
<sec id="s2-4-2">
<label>2.4.2</label>
<title>Biomechanical threshold phase segmentation</title>
<p>Phase boundaries were identified using a rule-based approach integrating thresholds derived from biomechanical findings by <xref ref-type="bibr" rid="B35">Kralj et al. (1990)</xref> and <xref ref-type="bibr" rid="B44">Norman-Gerum and McPhee (2020)</xref>. The seat-off transition (SIT<inline-formula id="inf75">
<mml:math id="m78">
<mml:mrow>
<mml:mo>&#x2192;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> UP) was marked when knee flexion angle <inline-formula id="inf76">
<mml:math id="m79">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> decreased below <inline-formula id="inf77">
<mml:math id="m80">
<mml:mrow>
<mml:mn>85</mml:mn>
<mml:mo>&#xb0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>, knee extension velocity <inline-formula id="inf78">
<mml:math id="m81">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
<mml:mo>&#x307;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> exceeded <inline-formula id="inf79">
<mml:math id="m82">
<mml:mrow>
<mml:mn>10</mml:mn>
<mml:mo>&#xb0;</mml:mo>
<mml:mo>&#x22c5;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>, and horizontal COM velocity surpassed <inline-formula id="inf80">
<mml:math id="m83">
<mml:mrow>
<mml:mn>0.05</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="normal">1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>. The STAND phase was declared once the knee angle fell below <inline-formula id="inf81">
<mml:math id="m84">
<mml:mrow>
<mml:mn>5</mml:mn>
<mml:mo>&#xb0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> and absolute vertical COM velocity dropped below <inline-formula id="inf82">
<mml:math id="m85">
<mml:mrow>
<mml:mn>0.02</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="normal">1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>. The DOWN phase onset was determined when downward COM acceleration <inline-formula id="inf83">
<mml:math id="m86">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>COM</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> dropped below <inline-formula id="inf84">
<mml:math id="m87">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.25</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="normal">2</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> or knee flexion again surpassed <inline-formula id="inf85">
<mml:math id="m88">
<mml:mrow>
<mml:mn>8</mml:mn>
<mml:mo>&#xb0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>. The DOWN phase ended when the knee angle returned close to the resting position <inline-formula id="inf86">
<mml:math id="m89">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>90</mml:mn>
<mml:mo>&#xb0;</mml:mo>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>5</mml:mn>
<mml:mo>&#xb0;</mml:mo>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
</sec>
<sec id="s2-4-3">
<label>2.4.3</label>
<title>Outcome metrics and statistical analysis</title>
<p>For each sit-to-stand repetition, we computed median values, variance, and the 95th percentile <inline-formula id="inf87">
<mml:math id="m90">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>95</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> of the average rectified value (ARV) distribution to quantify muscular activation. Effect sizes between conditions were assessed using Hedges&#x2019; <inline-formula id="inf88">
<mml:math id="m91">
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, applying small-sample bias correction. Left and right extensor muscle ARVs were spatially averaged via the median and analyzed both separately and as a combined bilateral measure <inline-formula id="inf89">
<mml:math id="m92">
<mml:mrow>
<mml:mtext>ARV</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ARV</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>ARV</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>Given the strictly positive and right-skewed nature of ARV data, a natural log transform was applied <inline-formula id="inf90">
<mml:math id="m93">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>ARV</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3f5;</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mspace width="2.77695pt" class="tmspace"/>
<mml:mi>&#x3f5;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:msup>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>6</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> to stabilize variance and reduce skewness, a widely accepted practice for physiological data (<xref ref-type="bibr" rid="B60">West, 2022</xref>). Linear mixed-effects models (LMMs) were then fitted separately for each distinct movement phase (SIT, UP, STAND, DOWN), reflecting the biomechanical differences inherent to each sub-phase (<xref ref-type="bibr" rid="B28">Herzog et al., 2025</xref>).</p>
<p>For a given phase <inline-formula id="inf91">
<mml:math id="m94">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the LMM was structured as follows:<disp-formula id="equ1">
<mml:math id="m95">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>k</mml:mi>
<mml:mi>&#x2113;</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>Cond</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mtext>Cond</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>Trend</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mtext>TrialNr</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2113;</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo stretchy="false">&#x2223;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>ID</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b5;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>k</mml:mi>
<mml:mi>&#x2113;</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>where <inline-formula id="inf92">
<mml:math id="m96">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>Cond</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2208;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">{</mml:mo>
<mml:mrow>
<mml:mtext>No</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>OFF</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mspace width="1em"/>
<mml:mtext>ON</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">}</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> represented orthosis states, dummy-coded with <italic>No Ortho</italic> as the reference category. In addition to the fixed factor <italic>Condition</italic>, a linear trial progression term (<inline-formula id="inf93">
<mml:math id="m97">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>TrialNr</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2113;</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 1 &#x2026; 15) was included to capture systematic learning or fatigue effects within each block, accounting for the fixed condition order. A random intercept <inline-formula id="inf94">
<mml:math id="m98">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo stretchy="false">&#x2223;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>ID</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> was included to capture participant-specific variability.</p>
<p>Three planned contrasts (ON vs. No, OFF vs. No, ON vs. OFF) were extracted from fixed effects for each phase. Back-transformed estimates from the log scale provided interpretable percent changes <inline-formula id="inf95">
<mml:math id="m99">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>%</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mi>exp</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">&#x302;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>, accompanied by 95% Wald confidence intervals. To maintain a family-wise error rate of <inline-formula id="inf96">
<mml:math id="m100">
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> across the twelve tests (four phases, three contrasts each), Bonferroni correction was applied (adjusted <inline-formula id="inf97">
<mml:math id="m101">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">adj</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>min</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">{</mml:mo>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>12,1</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">}</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>), with <inline-formula id="inf98">
<mml:math id="m102">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">adj</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> considered significant with &#x2a;p<sub>adj</sub>/p&#x3c;0.05; &#x2a;&#x2a;p<sub>adj</sub>/p&#x3c;0.01; &#x2a;&#x2a;&#x2a;p<sub>adj</sub>/p&#x3c;0.001 (<xref ref-type="bibr" rid="B8">Bland and Altman, 1995</xref>).</p>
<p>To examine the orthosis&#x2019;s influence on activation stability, the same analysis pipeline was applied to the log-transformed trial-wise variance of ARV, aggregated by participant and condition (<xref ref-type="bibr" rid="B46">Pinheiro, 2002</xref>). Model diagnostics included checking residual plots to ensure homoscedasticity and normality assumptions were met.</p>
</sec>
<sec id="s2-4-4">
<label>2.4.4</label>
<title>Questionnaire and NASA-TLX</title>
<p>The participants were given questionnaires to complete before and after the exercises. The Pre-Study questionnaire evaluates the frequency of orthotic, robotic, and EMG use, as well as the frequency and type of exercise, categorized into &#x201c;Endurance and Cardiovascular&#x201d;, &#x201c;Strength and Fitness&#x201d;, &#x201c;Team&#x201d;, &#x201c;Racket and Precision&#x201d;, &#x201c;Adventure and Action&#x201d;, and &#x201c;Mind-Body and Movement&#x201d;. After performing each condition, the NASA Task Load Index (NASA-TLX) questionnaire was used to assess the subjective mental workload (<xref ref-type="bibr" rid="B27">Hart and Staveland, 1988</xref>). The questionnaire contains six criteria: Mental Demand (MD), Physical Demand (PD), Temporal Demand (TD), Performance (P), Effort (E), and Frustration (F). Each NASA-TLX subscale ranges from 0 (low demand) to 20 (high demand); weighted scores were computed on a 0&#x2013;100 scale, with higher values indicating greater perceived workload. In our reporting, higher scores therefore reflect increased subjective burden. In addition to the NASA-TLX questionnaire, the participants received supplementary post-study Likert-style question items regarding perception of system usability, task complexity, comfort, and the effectiveness of feedback during orthosis interaction.</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="s3">
<label>3</label>
<title>Results</title>
<sec id="s3-1">
<label>3.1</label>
<title>EMG activation and orthosis effectiveness</title>
<p>
<xref ref-type="table" rid="T1">Table 1</xref> summarizes phase-specific changes in median bilateral log-ARV. Side-specific responses (left and right legs) and variance analyses are detailed in the <xref ref-type="sec" rid="s13">Supplementary Material</xref>, <xref ref-type="sec" rid="s13">Supplementary Tables S1&#x2013;S5</xref>. Medians were reported to minimize sensitivity to outliers, with dispersion visualized through boxplots (<xref ref-type="fig" rid="F4">Figures 4</xref>, <xref ref-type="fig" rid="F5">5</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Percentage change in bilateral ARV activity (mean of left &#x2b; right) for each movement phase. Effects that survive the family-wise criterion <inline-formula id="inf99">
<mml:math id="m103">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">adj</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> are bold. &#x2a;p<sub>adj</sub>/p&#x3c;0.05; &#x2a;&#x2a;p<sub>adj</sub>/p&#x3c;0.01; &#x2a;&#x2a;&#x2a;p<sub>adj</sub>/p&#x3c;0.001.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Phase</th>
<th align="left">Contrast</th>
<th align="right">
<inline-formula id="inf100">
<mml:math id="m104">
<mml:mrow>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="right">95% CI</th>
<th align="right">
<inline-formula id="inf101">
<mml:math id="m105">
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="right">
<inline-formula id="inf102">
<mml:math id="m106">
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="right">
<inline-formula id="inf103">
<mml:math id="m107">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">adj</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="3" align="left">SIT</td>
<td align="left">
<bold>ON&#x2013;No</bold>
</td>
<td align="right">
<bold>&#x2212;11.7</bold>
</td>
<td align="right">
<bold>[-16.5, -6.7]</bold>
</td>
<td align="right">
<bold>&#x2212;4.4</bold>
</td>
<td align="right">
<inline-formula id="inf104">
<mml:math id="m108">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn mathvariant="bold">0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="right">
<inline-formula id="inf105">
<mml:math id="m109">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn mathvariant="bold">0.001</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2a;</mml:mo>
<mml:mo>&#x2a;</mml:mo>
<mml:mo>&#x2a;</mml:mo>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">OFF&#x2013;No</td>
<td align="right">&#x2212;5.7</td>
<td align="right">[-10.8, &#x2212;0.4]</td>
<td align="right">&#x2212;2.1</td>
<td align="right">0.038</td>
<td align="right">0.452</td>
</tr>
<tr>
<td align="left">ON&#x2013;OFF</td>
<td align="right">&#x2212;6.3</td>
<td align="right">[-11.4, &#x2212;1.0]</td>
<td align="right">&#x2212;2.3</td>
<td align="right">0.021</td>
<td align="right">0.249</td>
</tr>
<tr>
<td rowspan="3" align="left">UP</td>
<td align="left">
<bold>ON&#x2013;No</bold>
</td>
<td align="right">
<bold>&#x2212;11.2</bold>
</td>
<td align="right">
<bold>[-15.8, -6.4]</bold>
</td>
<td align="right">
<bold>&#x2212;4.4</bold>
</td>
<td align="right">
<inline-formula id="inf106">
<mml:math id="m110">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn mathvariant="bold">0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="right">
<inline-formula id="inf107">
<mml:math id="m111">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn mathvariant="bold">0.001</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2a;</mml:mo>
<mml:mo>&#x2a;</mml:mo>
<mml:mo>&#x2a;</mml:mo>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">OFF&#x2013;No</td>
<td align="right">5.7</td>
<td align="right">[ 0.3, 11.5]</td>
<td align="right">2.1</td>
<td align="right">0.040</td>
<td align="right">0.475</td>
</tr>
<tr>
<td align="left">
<bold>ON&#x2013;OFF</bold>
</td>
<td align="right">
<bold>&#x2212;16.0</bold>
</td>
<td align="right">
<bold>[-20.4, -11.5]</bold>
</td>
<td align="right">
<bold>&#x2212;6.5</bold>
</td>
<td align="right">
<inline-formula id="inf108">
<mml:math id="m112">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn mathvariant="bold">0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="right">
<inline-formula id="inf109">
<mml:math id="m113">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn mathvariant="bold">0.001</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2a;</mml:mo>
<mml:mo>&#x2a;</mml:mo>
<mml:mo>&#x2a;</mml:mo>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td rowspan="3" align="left">STAND</td>
<td align="left">ON&#x2013;No</td>
<td align="right">3.1</td>
<td align="right">[-4.3, 11.0]</td>
<td align="right">0.8</td>
<td align="right">0.425</td>
<td align="right">1.000</td>
</tr>
<tr>
<td align="left">
<bold>OFF&#x2013;No</bold>
</td>
<td align="right">
<bold>13.2</bold>
</td>
<td align="right">
<bold>[5.1, 21.0]</bold>
</td>
<td align="right">
<bold>3.3</bold>
</td>
<td align="right">
<inline-formula id="inf110">
<mml:math id="m114">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn mathvariant="bold">0.01</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="right">
<inline-formula id="inf111">
<mml:math id="m115">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn mathvariant="bold">0.01</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2a;</mml:mo>
<mml:mo>&#x2a;</mml:mo>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">ON&#x2013;OFF</td>
<td align="right">&#x2212;8.9</td>
<td align="right">[-15.5, &#x2212;1.9]</td>
<td align="right">&#x2212;2.5</td>
<td align="right">
<inline-formula id="inf112">
<mml:math id="m116">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn mathvariant="bold">0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="right">0.170</td>
</tr>
<tr>
<td rowspan="3" align="left">DOWN</td>
<td align="left">
<bold>ON&#x2013;No</bold>
</td>
<td align="right">
<bold>&#x2212;15.4</bold>
</td>
<td align="right">
<bold>[-20.6, -9.8]</bold>
</td>
<td align="right">
<bold>&#x2212;5.2</bold>
</td>
<td align="right">
<inline-formula id="inf113">
<mml:math id="m117">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn mathvariant="bold">0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="right">
<inline-formula id="inf114">
<mml:math id="m118">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn mathvariant="bold">0.001</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2a;</mml:mo>
<mml:mo>&#x2a;</mml:mo>
<mml:mo>&#x2a;</mml:mo>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">
<bold>OFF&#x2013;No</bold>
</td>
<td align="right">
<bold>&#x2212;12.1</bold>
</td>
<td align="right">
<bold>[-17.5, -6.3]</bold>
</td>
<td align="right">
<bold>&#x2212;4.0</bold>
</td>
<td align="right">
<inline-formula id="inf115">
<mml:math id="m119">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn mathvariant="bold">0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="right">
<inline-formula id="inf116">
<mml:math id="m120">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn mathvariant="bold">0.01</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2a;</mml:mo>
<mml:mo>&#x2a;</mml:mo>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">ON&#x2013;OFF</td>
<td align="right">&#x2212;3.74</td>
<td align="right">[-9.7, 2.6]</td>
<td align="right">&#x2212;1.2</td>
<td align="right">0.242</td>
<td align="right">1</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Median ARV during the UP phase. From left to right: left leg, bilateral mean, right leg.</p>
</caption>
<graphic xlink:href="frobt-12-1732294-g004.tif">
<alt-text content-type="machine-generated">Three box plots comparing ARV values in arbitrary units across three conditions: No Ortho, Ortho OFF, and Ortho ON. Each condition is represented in a separate box plot group, with significant differences marked by asterisks. The distribution of data points is shown as individual dots, with the central box indicating the interquartile range and a line for the median. Whiskers extend to min and max values.</alt-text>
</graphic>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Median ARV during the DOWN phase. From left to right: left leg, bilateral mean, right leg.</p>
</caption>
<graphic xlink:href="frobt-12-1732294-g005.tif">
<alt-text content-type="machine-generated">Three box-and-whisker plots compare ARV values across different conditions labeled as No Ortho, Ortho OFF, and Ortho ON each with a different color. The data includes individual data points, and significance is marked with asterisks above the plots.</alt-text>
</graphic>
</fig>
<sec id="s3-1-1">
<label>3.1.1</label>
<title>UP-phase (sit-to-stand ascent)</title>
<p>Active assistance reduced bilateral extensor activation by <inline-formula id="inf117">
<mml:math id="m121">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>11.2</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> relative to <italic>No-Ortho</italic> and <inline-formula id="inf118">
<mml:math id="m122">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>16.0</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> relative to <italic>Ortho-OFF</italic> (both <inline-formula id="inf119">
<mml:math id="m123">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">adj</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, effect size <inline-formula id="inf120">
<mml:math id="m124">
<mml:mrow>
<mml:mo stretchy="false">&#x7c;</mml:mo>
<mml:mi>g</mml:mi>
<mml:mo stretchy="false">&#x7c;</mml:mo>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>4.4</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mtext>&#x2013;</mml:mtext>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mn>6.5</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, see <xref ref-type="fig" rid="F5">Figure 5</xref>). Relative to the <italic>No-Ortho</italic> condition, <italic>Ortho-ON</italic> assistance reduced median extensor ARV on the braced right leg by <inline-formula id="inf121">
<mml:math id="m125">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>14.8</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (<inline-formula id="inf122">
<mml:math id="m126">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">adj</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf123">
<mml:math id="m127">
<mml:mrow>
<mml:mo stretchy="false">&#x7c;</mml:mo>
<mml:mi>g</mml:mi>
<mml:mo stretchy="false">&#x7c;</mml:mo>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>5.2</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) during ascent, whereas the unbraced left leg showed a smaller decrease of <inline-formula id="inf124">
<mml:math id="m128">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>7.2</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="sec" rid="s13">Supplementary Material</xref>: <xref ref-type="sec" rid="s13">Supplementary Tables S1, S2</xref>). This combination corresponds to an <inline-formula id="inf125">
<mml:math id="m129">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>8</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> reduction in the right-to-left ARV ratio (<inline-formula id="inf126">
<mml:math id="m130">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ARV</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>/<inline-formula id="inf127">
<mml:math id="m131">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) in the UP phase, indicating that the assisted limb is unloaded more than the contralateral limb without evidence of compensatory over-recruitment. While variance reduction initially appeared sub-threshold (<inline-formula id="inf128">
<mml:math id="m132">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>28.2</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf129">
<mml:math id="m133">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">adj</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.13</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>), combined analysis revealed considerable bilateral variance reductions, indicating improved muscular activation consistency and movement control (<xref ref-type="sec" rid="s13">Supplementary Material</xref>: <xref ref-type="sec" rid="s13">Supplementary Table S3</xref>, <xref ref-type="sec" rid="s13">Supplementary Figure S1</xref>).</p>
</sec>
<sec id="s3-1-2">
<label>3.1.2</label>
<title>DOWN-phase (<italic>stand-to-sit descent</italic>)</title>
<p>During descent, the active orthosis significantly lowered bilateral median ARV by <inline-formula id="inf130">
<mml:math id="m134">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>15.4</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> compared to <italic>No-Ortho</italic> (<inline-formula id="inf131">
<mml:math id="m135">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">adj</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf132">
<mml:math id="m136">
<mml:mrow>
<mml:mo stretchy="false">&#x7c;</mml:mo>
<mml:mi>g</mml:mi>
<mml:mo stretchy="false">&#x7c;</mml:mo>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>5.2</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>), and <inline-formula id="inf133">
<mml:math id="m137">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>12.1</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> relative to <italic>Ortho-OFF</italic> (<inline-formula id="inf134">
<mml:math id="m138">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">adj</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.01</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf135">
<mml:math id="m139">
<mml:mrow>
<mml:mo stretchy="false">&#x7c;</mml:mo>
<mml:mi>g</mml:mi>
<mml:mo stretchy="false">&#x7c;</mml:mo>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>4.0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>). During the eccentric DOWN phase, <italic>Ortho-ON</italic> assistance reduced median ARV on the braced right leg by <inline-formula id="inf136">
<mml:math id="m140">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>20.7</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (<inline-formula id="inf137">
<mml:math id="m141">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">adj</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf138">
<mml:math id="m142">
<mml:mrow>
<mml:mo stretchy="false">&#x7c;</mml:mo>
<mml:mi>g</mml:mi>
<mml:mo stretchy="false">&#x7c;</mml:mo>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>6.2</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) relative to <italic>No-Ortho</italic>, whereas the left leg decreased by <inline-formula id="inf139">
<mml:math id="m143">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>10.0</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="sec" rid="s13">Supplementary Material</xref>: <xref ref-type="sec" rid="s13">Supplementary Tables S1, S2</xref>). This corresponds to an <inline-formula id="inf140">
<mml:math id="m144">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>12</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> reduction in the right-to-left ARV ratio compared with <italic>No-Ortho</italic>, again suggesting preferential unloading of the assisted limb rather than contralateral overuse. For the right (braced) leg, ARV variance during the DOWN phase decreased significantly by <inline-formula id="inf141">
<mml:math id="m145">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>44</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (<inline-formula id="inf142">
<mml:math id="m146">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">adj</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.05</mml:mn>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mo stretchy="false">&#x7c;</mml:mo>
<mml:mi>g</mml:mi>
<mml:mo stretchy="false">&#x7c;</mml:mo>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>3.2</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>; <xref ref-type="sec" rid="s13">Supplementary Tables S3&#x2013;S5</xref>; <xref ref-type="sec" rid="s13">Supplementary Figure S2</xref>), indicating more repeatable muscle activation across repetitions.</p>
</sec>
<sec id="s3-1-3">
<label>3.1.3</label>
<title>Static phases (SIT and STAND)</title>
<p>During SIT, the active orthosis significantly reduced bilateral median ARV by <inline-formula id="inf143">
<mml:math id="m147">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>11.7</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (<inline-formula id="inf144">
<mml:math id="m148">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">adj</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf145">
<mml:math id="m149">
<mml:mrow>
<mml:mo stretchy="false">&#x7c;</mml:mo>
<mml:mi>g</mml:mi>
<mml:mo stretchy="false">&#x7c;</mml:mo>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>4.4</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>), primarily driven by a pronounced decrease on the braced leg (<inline-formula id="inf146">
<mml:math id="m150">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>20.5</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf147">
<mml:math id="m151">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">adj</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>). Variance reductions remained non-significant. In the STAND phase, no significant activation reductions occurred. However, the unpowered orthosis condition caused a slight but significant bilateral ARV increase (<inline-formula id="inf148">
<mml:math id="m152">
<mml:mrow>
<mml:mn>13.2</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf149">
<mml:math id="m153">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">adj</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.01</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>), suggesting minor compensatory activation due to device mass.</p>
</sec>
<sec id="s3-1-4">
<label>3.1.4</label>
<title>Within-session adaptation</title>
<sec id="s3-1-4-1">
<label>3.1.4.1</label>
<title>ARV learning over time</title>
<p>Median bilateral quadriceps ARV showed only modest, statistically non-significant within-session changes across repetitions (<xref ref-type="fig" rid="F6">Figure 6</xref>; <xref ref-type="table" rid="T2">Table 2</xref>). During the preparatory SIT phase, ARV gradually increased by <inline-formula id="inf150">
<mml:math id="m154">
<mml:mrow>
<mml:mn>3.6</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> on average <inline-formula id="inf151">
<mml:math id="m155">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi>d</mml:mi>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.134</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>, which may reflect weak anticipatory priming response upon auditory cues for the next anticipated movement. In contrast, concentric UP-phase ARV decreased by <inline-formula id="inf152">
<mml:math id="m156">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>5.7</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> <inline-formula id="inf153">
<mml:math id="m157">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi>d</mml:mi>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.635</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>, consistent with a trend toward more economical use of the assistance, but these changes did not reach statistical significance and should therefore be interpreted as exploratory. These adaptations emerged despite no prior device familiarization.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Median bilateral ARVs averaged over all participants <inline-formula id="inf154">
<mml:math id="m158">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mo>&#xb1;</mml:mo>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">M</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> across all trials for the SIT phase (left) and UP phase (right) visualized for each condition.</p>
</caption>
<graphic xlink:href="frobt-12-1732294-g006.tif">
<alt-text content-type="machine-generated">Two line graphs compare bilateral ARV over event indexes. The left graph ranges from 0.12 to 0.24, and the right from 0.45 to 0.95. Three conditions are represented: No Ortho (blue), Ortho OFF (red), and Ortho ON (yellow). Lines show similar trends with varying fluctuations, highlighted by shaded confidence intervals.</alt-text>
</graphic>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Pooled change in ARV from early (trials 1&#x2013;5) to late (trials 11&#x2013;15); Epoch<inline-formula id="inf155">
<mml:math id="m159">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>Condition interaction was non-significant, therefore the values are averaged across the Orthosis Conditions No, OFF, and ON.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="left">Phase</th>
<th align="left">
<inline-formula id="inf156">
<mml:math id="m160">
<mml:mrow>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf157">
<mml:math id="m161">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">adj</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="4" align="left">
<inline-formula id="inf158">
<mml:math id="m162">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>95</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">SIT</td>
<td align="right">&#x2b;5.2</td>
<td align="left">1</td>
</tr>
<tr>
<td align="left">UP</td>
<td align="right">&#x2212;13.4</td>
<td align="left">0.546</td>
</tr>
<tr>
<td align="left">STAND</td>
<td align="right">&#x2b;0.4</td>
<td align="left">1</td>
</tr>
<tr>
<td align="left">DOWN</td>
<td align="right">&#x2212;5.0</td>
<td align="left">1</td>
</tr>
<tr>
<td rowspan="4" align="left">Median</td>
<td align="left">SIT</td>
<td align="right">&#x2b;3.6</td>
<td align="left">0.134</td>
</tr>
<tr>
<td align="left">UP</td>
<td align="right">&#x2212;5.7</td>
<td align="left">0.635</td>
</tr>
<tr>
<td align="left">STAND</td>
<td align="right">&#x2212;2.7</td>
<td align="left">0.804</td>
</tr>
<tr>
<td align="left">DOWN</td>
<td align="right">&#x2212;1.5</td>
<td align="left">1</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-1-4-2">
<label>3.1.4.2</label>
<title>Torque learning over time</title>
<p>Torque analysis revealed significant within-session adaptations (<xref ref-type="table" rid="T3">Table 3</xref>; <xref ref-type="fig" rid="F7">Figure 7</xref>). During SIT, participants significantly increased anticipatory torque engagement (<inline-formula id="inf161">
<mml:math id="m165">
<mml:mrow>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.084</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf162">
<mml:math id="m166">
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.94</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf163">
<mml:math id="m167">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>), aligning with the ARV priming observed above. Moderate positive correlations between torque and ARV (<inline-formula id="inf164">
<mml:math id="m168">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.30</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf165">
<mml:math id="m169">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) underscored a preparatory strategy, enabling more efficient and synchronized orthosis utilization upon movement initiation. In contrast, the UP phase displayed stable torque demands, indicating rapid establishment of movement patterns without further significant adaptation. The eccentric DOWN phase showed slight, non-significant torque increases, moderately correlated with declining ARV (<inline-formula id="inf166">
<mml:math id="m170">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.41</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf167">
<mml:math id="m171">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>), reflecting more controlled eccentric activation.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Early-late change (trials 1&#x2013;5 vs. 11&#x2013;15) and Pearson correlation with bilateral ARV by phase. Values per-ID normalized <inline-formula id="inf223">
<mml:math id="m227">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi>max</mml:mi>
<mml:mo stretchy="false">&#x7c;</mml:mo>
<mml:mi>x</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mo stretchy="false">&#x7c;</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>. <inline-formula id="inf224">
<mml:math id="m228">
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>: uncorrected; effect: Cohen&#x2019;s <inline-formula id="inf168">
<mml:math id="m172">
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. &#x2a;p<sub>adj</sub>/p&#x3c;0.05; &#x2a;&#x2a;p<sub>adj</sub>/p&#x3c;0.01; &#x2a;&#x2a;&#x2a;p<sub>adj</sub>/p&#x3c;0.001.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Phase</th>
<th align="left">Signal</th>
<th align="right">
<inline-formula id="inf169">
<mml:math id="m173">
<mml:mrow>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">Test</th>
<th align="right">
<inline-formula id="inf170">
<mml:math id="m174">
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="right">
<inline-formula id="inf171">
<mml:math id="m175">
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="right">
<inline-formula id="inf172">
<mml:math id="m176">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>r</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>ARV</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="right">
<inline-formula id="inf173">
<mml:math id="m177">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>ARV</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">SIT</td>
<td align="left">Velocity</td>
<td align="right">0.008</td>
<td align="left">
<inline-formula id="inf174">
<mml:math id="m178">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>9</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1.51</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="right">0.165</td>
<td align="right">0.5</td>
<td align="right">0.233</td>
<td align="right">
<inline-formula id="inf175">
<mml:math id="m179">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.01</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">SIT</td>
<td align="left">Torque</td>
<td align="right">0.084</td>
<td align="left">
<inline-formula id="inf176">
<mml:math id="m180">
<mml:mrow>
<mml:mi mathvariant="bold">t</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn mathvariant="bold">9</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mn mathvariant="bold">2.98</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="right">
<inline-formula id="inf177">
<mml:math id="m181">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn mathvariant="bold">0.05</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2a;</mml:mo>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="right">0.9</td>
<td align="right">0.296</td>
<td align="right">
<inline-formula id="inf178">
<mml:math id="m182">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn mathvariant="bold">0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">UP</td>
<td align="left">Velocity</td>
<td align="right">0.013</td>
<td align="left">
<inline-formula id="inf179">
<mml:math id="m183">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>9</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1.65</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="right">0.133</td>
<td align="right">0.5</td>
<td align="right">0.267</td>
<td align="right">
<inline-formula id="inf180">
<mml:math id="m184">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">UP</td>
<td align="left">Torque</td>
<td align="right">0.003</td>
<td align="left">
<inline-formula id="inf181">
<mml:math id="m185">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>9</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.07</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="right">0.944</td>
<td align="right">0.0</td>
<td align="right">0.060</td>
<td align="right">0.465</td>
</tr>
<tr>
<td align="left">STAND</td>
<td align="left">Velocity</td>
<td align="right">0.000</td>
<td align="left">
<inline-formula id="inf182">
<mml:math id="m186">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="right">0.625</td>
<td align="right">&#x2014;</td>
<td align="right">&#x2212;0.190</td>
<td align="right">
<inline-formula id="inf183">
<mml:math id="m187">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">STAND</td>
<td align="left">Torque</td>
<td align="right">0.000</td>
<td align="left">
<inline-formula id="inf184">
<mml:math id="m188">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>9</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.21</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="right">0.838</td>
<td align="right">0.1</td>
<td align="right">&#x2212;0.017</td>
<td align="right">0.837</td>
</tr>
<tr>
<td align="left">DOWN</td>
<td align="left">Velocity</td>
<td align="right">&#x2212;0.008</td>
<td align="left">
<inline-formula id="inf185">
<mml:math id="m189">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>9</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.44</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="right">0.184</td>
<td align="right">&#x2212;0.5</td>
<td align="right">0.452</td>
<td align="right">
<inline-formula id="inf186">
<mml:math id="m190">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">DOWN</td>
<td align="left">Torque</td>
<td align="right">0.018</td>
<td align="left">
<inline-formula id="inf187">
<mml:math id="m191">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>40</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="right">0.232</td>
<td align="right">&#x2014;</td>
<td align="right">0.408</td>
<td align="right">
<inline-formula id="inf188">
<mml:math id="m192">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.001</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Median orthosis torque output normalized per participant <inline-formula id="inf191">
<mml:math id="m195">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mo>&#xb1;</mml:mo>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">M</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> across all trial events for the SIT phase (left) and DOWN phase (right). The dark overlay curve shows the median bilateral ARV.</p>
</caption>
<graphic xlink:href="frobt-12-1732294-g007.tif">
<alt-text content-type="machine-generated">Line graphs display median torque percentage and median bilateral ARV against an event index. The left graph shows velocity in purple lines, torque in green, and ARV in gray. The right graph mirrors this with ARV values. Trends indicate changes across different events with shaded areas representing variations.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-1-4-3">
<label>3.1.4.3</label>
<title>Participant utilization of orthosis power</title>
<p>Peak orthosis power utilization varied by movement phase (<xref ref-type="fig" rid="F8">Figure 8</xref>). Highest torque engagement occurred during eccentric descent (DOWN), averaging <inline-formula id="inf192">
<mml:math id="m196">
<mml:mrow>
<mml:mn>83</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>22</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> of the maximum capacity. Conversely, concentric UP engagement was modest <inline-formula id="inf193">
<mml:math id="m197">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>66</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>10</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>, reflecting either limited familiarity or conservative initial lifting strategies. During preparatory SIT, participants displayed mixed strategies. Approximately half of the participants utilized the provided torque capacity, while a few used only <inline-formula id="inf194">
<mml:math id="m198">
<mml:mrow>
<mml:mn>50</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. The group-level relationship in the active Ortho-ON condition between right-leg EMG ARV and the commanded stiffness gain <inline-formula id="inf195">
<mml:math id="m199">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is shown in <xref ref-type="sec" rid="s13">Supplementary Figure S3</xref>. The commanded stiffness increases from single-digit values at low activation to approximately <inline-formula id="inf196">
<mml:math id="m200">
<mml:mrow>
<mml:mn>20</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>30</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">d</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="normal">1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> at moderate right-leg ARV. Additionally, <xref ref-type="sec" rid="s13">Supplementary Figure S4</xref> depicts the corresponding parabolic group-averaged torque-angle trajectory. Participants reach maximum torque support midway through the motion, with noisier responses at maximum deflection angles.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Capitalization on orthosis power output per participant. Columns show the power facilitated by each participant <inline-formula id="inf197">
<mml:math id="m201">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mo>&#xb1;</mml:mo>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">D</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> relative to the maximum possible achievable output.</p>
</caption>
<graphic xlink:href="frobt-12-1732294-g008.tif">
<alt-text content-type="machine-generated">Bar charts show maximum torque normalized per body weight in four positions: SIT, UP, STAND, and DOWN, across participants labeled A to J. Values range from near zero to over one hundred percent, with STAND showing lowest torque and DOWN showing highest. Standard deviation error bars are included.</alt-text>
</graphic>
</fig>
</sec>
</sec>
</sec>
<sec id="s3-2">
<label>3.2</label>
<title>Subjective measurements: questionnaires and NASA-TLX</title>
<p>Participants predominantly had limited prior exposure to orthoses and EMG systems (<xref ref-type="sec" rid="s13">Supplementary Material</xref>: <xref ref-type="sec" rid="s13">Supplementary Table S6</xref>). Exercise frequency was high, primarily endurance-based, reflecting a physically active cohort with minimal specialized robotics experience.</p>
<p>NASA-TLX results (<xref ref-type="fig" rid="F9">Figure 9</xref>) indicated modest overall workload without significant differences between conditions (Wilcoxon signed-rank tests, all <inline-formula id="inf198">
<mml:math id="m202">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>). Performance ratings were consistently highest but showed a downward trend with orthosis use, indicating minimal perceived disruption by the device.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Results of the NASA-TLX weighted workload scores <inline-formula id="inf199">
<mml:math id="m203">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mo>&#xb1;</mml:mo>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">D</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> across all tested conditions.</p>
</caption>
<graphic xlink:href="frobt-12-1732294-g009.tif">
<alt-text content-type="machine-generated">Bar chart comparing weighted scores across criteria labeled MD, PD, TD, P, E, and F. Blue, orange, and yellow bars represent No Ortho, Ortho OFF, and Ortho ON respectively. Category P shows the highest scores, especially for No Ortho. Error bars indicate variability.</alt-text>
</graphic>
</fig>
<p>Participants rated orthosis usability positively (75&#x2013;79 mean scores), with intuitive control perceptions remaining stable. Despite minor decreases in intuitiveness under active conditions, overall task complexity remained low. Visual and acoustic feedback was highly valued (82&#x2013;87 mean scores), with a slight preference for more device-generated feedback over supervisor cues. Discomfort remained moderate, with slight increases during active power, reflecting acceptable comfort levels.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<label>4</label>
<title>Discussion</title>
<p>Powered assistance significantly reduced bilateral median EMG activity during both ascent and descent phases, even after Bonferroni correction. Additionally, the muscle activity reduction during ascent remained significant when comparing the powered orthosis to its unpowered condition. Another important finding was a notable decrease in the variability of right-leg muscle activity during descent, though the bilateral variance decrease did not remain significant after correction. Taken together, these findings indicate that the powered orthosis effectively eased muscular effort during the primary movement phases and promoted more consistent muscle activation patterns, particularly for the supported leg during controlled descent.</p>
<sec id="s4-1">
<label>4.1</label>
<title>Interpretation of EMG and variance results</title>
<p>These findings align well with the intended function of an EMG-proportional impedance controller, which modulates assistance based on measured muscle activation. The observed lower median EMG amplitudes under powered conditions suggest that the orthosis successfully replaced part of the biological muscle torque, effectively reducing the muscular effort required by users. Side-specific analyses support this interpretation. Across sit, ascent, and descent, the braced right leg consistently showed larger ARV reductions than the unbraced left leg (UP: <inline-formula id="inf200">
<mml:math id="m204">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>14.8</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> vs. <inline-formula id="inf201">
<mml:math id="m205">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>7.2</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; DOWN: <inline-formula id="inf202">
<mml:math id="m206">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>20.7</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> vs. <inline-formula id="inf203">
<mml:math id="m207">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>10.0</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; <xref ref-type="sec" rid="s13">Supplementary Material</xref>: <xref ref-type="sec" rid="s13">Supplementary Tables S1, S2</xref>), which implies an <inline-formula id="inf204">
<mml:math id="m208">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>8</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf205">
<mml:math id="m209">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>12</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> reduction, respectively, in the right-to-left ARV ratio compared with <italic>No-Ortho</italic>. Within the limits of EMG as a proxy for neuromuscular effort, this pattern indicates preferential unloading of the assisted limb without contralateral overuse. Because no ground-reaction forces or centre-of-pressure data were collected, these EMG-based symmetry measures reflect relative effort redistribution rather than precise mechanical load sharing between limbs. Although the reduced variance in the right leg during descent points toward more consistent muscle activation patterns, this finding alone does not definitively indicate improved stability or movement quality. Confirming stability improvements would require additional kinematic or kinetic evidence, such as detailed joint angles, segment velocities, or ground reaction forces. Consequently, EMG variance should be viewed as descriptive and indicative of neuromuscular behavior, rather than as a direct measure of functional stability or control quality.</p>
<p>The side-specific results further argue against contralateral compensation. The braced right leg exhibited reduced activation during sit, ascent, and descent under powered conditions. Notably, the left leg did not show a compensatory increase. Instead, it demonstrated reduced activation during ascent (powered vs. unpowered) and descent (powered vs. baseline). This consistent bilateral pattern indicates that assistance did not shift demand to the contralateral limb. Additionally, the left-leg reduction during descent suggests bilateral unloading effects, likely due to interlimb coordination rather than direct mechanical support.</p>
</sec>
<sec id="s4-2">
<label>4.2</label>
<title>Device mechanics and task demands</title>
<p>Phase-specific contrasts shed light on how device mechanics interact with varying task demands. During the stand phase, the unpowered orthosis significantly increased bilateral EMG compared to baseline, an effect that active powering of the orthosis successfully mitigated. This suggests that the unpowered condition introduced additional physical demands, likely due to factors such as device weight, residual friction, or alignment constraints, which the powered assistance partially offset. In contrast, during the sit phase, the powered orthosis significantly reduced bilateral EMG, highlighting that its supportive effects extended beyond dynamic movements alone. Furthermore, during descent, both powered and unpowered conditions resulted in decreased bilateral EMG compared to baseline, with the powered condition providing a notably greater reduction. These observations underline the orthosis&#x2019;s role in effectively supporting muscular effort across various phases and tasks.</p>
</sec>
<sec id="s4-3">
<label>4.3</label>
<title>Exploratory analyses: adaptation and power utilization</title>
<p>Exploratory analyses offered further insights into user adaptation patterns and design implications. We observed a significant increase in within-session torque during the sit phase <inline-formula id="inf206">
<mml:math id="m210">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.084</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>9</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>2.98</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>p</mml:mi>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.05</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>, although median bilateral EMG drifts remained small and statistically insignificant during both sit <inline-formula id="inf207">
<mml:math id="m211">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>3.6</mml:mn>
<mml:mi>%</mml:mi>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>adj</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.134</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> and ascent <inline-formula id="inf208">
<mml:math id="m212">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>5.7</mml:mn>
<mml:mi>%</mml:mi>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>adj</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.635</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>. These findings suggest modest adaptation by users across repeated trials, though notable EMG-level changes within sessions were not clearly apparent. Orthosis power utilization was substantially, <inline-formula id="inf209">
<mml:math id="m213">
<mml:mrow>
<mml:mn>73.7</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>19.4</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> during descent and <inline-formula id="inf210">
<mml:math id="m214">
<mml:mrow>
<mml:mn>58.5</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>8.6</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> during ascent, indicating effective engagement of the actuator. Given the device&#x2019;s torque ceiling of <inline-formula id="inf211">
<mml:math id="m215">
<mml:mrow>
<mml:mn>16</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, it is certain that saturation occurred during more demanding descent phases, potentially limiting further muscular unloading. Consequently, enhancing the device&#x2019;s torque density emerges as an important consideration for future orthosis design. While the protocol comprised only 15 repetitions per condition, the early-late comparisons and trial-wise trends (<xref ref-type="table" rid="T2">Table 2</xref>; <xref ref-type="fig" rid="F6">Figures 6</xref>, <xref ref-type="fig" rid="F7">7</xref>) provide some insight into short-term adaptation. Participants increased anticipatory torque during SIT but showed only small, non-significant drifts in median ARV across repetitions. This pattern is more consistent with strategic adjustment to the EMG-driven assistance than with pronounced fatigue. However, the short exposure and healthy cohort preclude strong conclusions about long-term robustness or training effects. Multi-session protocols, ideally in clinical populations, will be needed to quantify how muscle fatigue and motor adaptation evolve over days or weeks of use.</p>
</sec>
<sec id="s4-4">
<label>4.4</label>
<title>Subjective workload assessment</title>
<p>Subjective workload, assessed using the NASA-TLX, showed no significant differences between conditions across all subscales (<xref ref-type="fig" rid="F9">Figure 9</xref>). Given the small sample size and the short, highly structured protocol, the study was underpowered to detect potentially subtle subjective benefits such as reduced perceived effort during the dynamic phases. At the same time, the absence of increased workload in the Ortho-ON condition is encouraging, suggesting that the EMG-driven impedance controller can reduce extensor EMG without introducing a noticeable cognitive or physical burden. We expect that longer, more ecological usage scenarios (e.g., repeated STS as part of daily activities or rehabilitation sessions) may reveal clearer subjective benefits, particularly for users with pronounced extensor weakness.</p>
</sec>
<sec id="s4-5">
<label>4.5</label>
<title>Comparison to recent EMG-controlled knee exoskeletons</title>
<p>To place our findings in the context of recent EMG-controlled knee exoskeleton work, we next compare our results with those of <xref ref-type="bibr" rid="B26">Gunnell et al. (2025)</xref>. This research reported significant reductions in peak quadriceps EMG (32%) and substantial increases in knee extension torque (59%) in stroke survivors using an EMG-controlled powered knee exoskeleton with a torque limit of <inline-formula id="inf212">
<mml:math id="m216">
<mml:mrow>
<mml:mn>0.5</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi>N</mml:mi>
<mml:mi>m</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi>k</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>. In our healthy cohort, we observed more modest reductions in median ARV (11%&#x2013;21% depending on phase and leg), which was not always fully exploited during ascent (mean utilization <inline-formula id="inf213">
<mml:math id="m217">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>59</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; <xref ref-type="fig" rid="F7">Figure 7</xref>), with a device whose nominal torque capacity <inline-formula id="inf214">
<mml:math id="m218">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>0.23</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi>N</mml:mi>
<mml:mi>m</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi>k</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>) is roughly half of that used by <xref ref-type="bibr" rid="B26">Gunnell et al. (2025)</xref>. This is in line with their research, which achieved a <inline-formula id="inf215">
<mml:math id="m219">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>32</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> reduction in peak quadriceps EMG. Together, these findings suggest a roughly dose-dependent relationship between available assistive torque and achievable EMG reduction, modulated by user adaptation and task demands. Moreover, <xref ref-type="bibr" rid="B26">Gunnell et al. (2025)</xref> employed high-frequency EMG sampled at 2000 Hz and targeted a single paretic muscle, whereas our controller relies on consumer-grade dry electrodes at 200 Hz and a global thigh activation pattern. This difference likely affects the precision of activation timing and amplitude estimates. Nevertheless, both studies consistently show that proportional EMG control can reduce extensor effort without inducing detrimental compensations. Our results extend this evidence to a low-cost, minimally calibrated brace, indicating that meaningful unloading may be achievable even with reduced torque capacity and simpler sensing hardware, rather than competing with high-torque custom-built braces.</p>
</sec>
<sec id="s4-6">
<label>4.6</label>
<title>Study limitations</title>
<p>The fixed order of testing conditions introduces potential sequence or learning effects, possibly influencing within-session comparisons. To mitigate this risk analytically, we explicitly modeled trial progression in the linear mixed-effects models and contrasted early versus late repetitions (<xref ref-type="table" rid="T2">Table 2</xref>). While modest adaptations were observed, such as increased preparatory ARV and torque in the SIT phase, these changes did not differentially affect any orthosis condition, and Condition<inline-formula id="inf216">
<mml:math id="m220">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>Epoch interactions remained non-significant. Nevertheless, future studies should adopt counterbalanced or randomized designs to decouple device effects from sequence-related adaptation or fatigue fully.</p>
<p>Although consumer-grade dry-electrode hardware simplifies deployment, it is more susceptible to motion artefacts, electrode shift, and sweat-induced impedance changes than laboratory-grade adhesive EMG systems. Yet our choice of sensors aligns with the orthosis&#x2019;s objective of low cost and practicality. Additionally, our ridge-regression controller and the coarse, single-DoF task reduced the impact of such noise, but long-term robustness under daily-life conditions remains to be demonstrated. Again, here we anticipate that the quick, easy calibration allows immediate updates to the regression model weights when needed.</p>
<p>A further limitation concerns the specificity of the EMG-driven control signal. Because the Myo band spans the anterolateral to anteromedial thigh, the recorded envelopes primarily reflect global quadriceps activity, but inevitably also contain cross-talk from biarticular muscles such as <italic>rectus femoris</italic> and from adjacent hip musculature. Consequently, <inline-formula id="inf217">
<mml:math id="m221">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">&#x302;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> is best interpreted as a single-leg, sagittal-plane activation measure rather than a pure knee-extensor channel. For the paced STS task studied, where both legs act in phase and extensor demand on the braced limb dominates, a global signal is appropriate and has also been used successfully other studies (<xref ref-type="bibr" rid="B39">Lyu et al., 2019</xref>). In more dynamic, cyclic tasks such as walking, quadriceps and hamstring muscles contribute in a phase-dependent manner to both hip and knee motion (<xref ref-type="bibr" rid="B43">Mohammadyari Gharehbolagh et al., 2023</xref>; <xref ref-type="bibr" rid="B2">Akl et al., 2021</xref>). In those settings, a purely monotonic mapping from a single global thigh signal to knee stiffness would likely be suboptimal. EMG-based gait exoskeletons therefore typically combine muscle-specific EMG features with gait-phase estimation (<xref ref-type="bibr" rid="B13">Chen et al., 2023</xref>; <xref ref-type="bibr" rid="B20">de Miguel-Fern&#xe1;ndez et al., 2023</xref>).</p>
<p>Similarly, the orthosis torque ceiling of 16 Nm <inline-formula id="inf218">
<mml:math id="m222">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>0.23</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi>N</mml:mi>
<mml:mi>m</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi>k</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> may restrict effectiveness for heavier users or faster, more dynamic transitions. The small sample size and healthy cohort constrain statistical precision and generalizability. Given the relatively slow and predictable dynamics of paced STS transfers, the <inline-formula id="inf219">
<mml:math id="m223">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>250</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>300</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> ms rise time from EMG onset to reaching the 16 Nm torque ceiling did not manifest as perceptible delay or instability, as supported by the absence of abnormal kinematic patterns and the lack of increased subjective workload in the Ortho-ON condition. This is further illustrated by the representative time series for a powered trial (<xref ref-type="sec" rid="s13">Supplementary Figure S5</xref>), where the EMG envelope of the braced thigh rises before the prediction <inline-formula id="inf220">
<mml:math id="m224">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">&#x302;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>, yet elicited torque and EMG stay largely synced. The temporal smoothing also avoids abrupt torque jumps while still allowing participants to elicit substantial support during an extensor burst UP motion. Together with the high utilisation levels observed during the DOWN phase, this suggests that users quickly learned to exploit the compliant, EMG-scaled stiffness behaviour.</p>
</sec>
<sec id="s4-7">
<label>4.7</label>
<title>Translational implications and future directions</title>
<p>Our findings provide clear translational implications for future orthosis development. The present prototype still requires integration and is not a plug-and-play consumer product. Our use of an off-the-shelf brace and actuators primarily reduces material cost and facilitates replication by other laboratories, rather than eliminating professional involvement. We therefore frame the device as a low-cost research platform and a potential template for future industrial designs, rather than as an immediately deployable clinical solution. Effective everyday support for sit-to-stand transitions demands higher peak torque capacities without significantly increasing device weight, particularly during the more challenging descent phases. Enhanced mechanical alignment, ergonomics, and design improvements are critical to minimizing the static costs identified in unpowered conditions. Incorporating joint tracking systems, such as inertial measurement units (IMUs), would facilitate continuous joint kinematic monitoring and adaptive state estimation, essential for refining impedance control and enhancing stability assessment. Future studies should adopt randomized or counterbalanced experimental designs and integrate multiple synchronized sensor modalities, including EMG, IMU, and kinetic measurements. Incorporating metabolic and functional outcome assessments will determine whether the EMG reductions observed translate into tangible benefits, such as reduced joint loading, maintained coordination, and lower energy expenditure. Comparative studies against passive braces and other control strategies are necessary to clarify the distinct mechanisms and advantages of active assistance. Additionally, clinical trials involving diverse populations, especially those with motor impairments, are essential to comprehensively evaluate the orthosis&#x2019;s clinical relevance, usability, and safety. Moreover, the present study evaluated the EMG-driven impedance controller only during paced sit-to-stand transfers in healthy adults. Systematic testing of its versatility across walking, stair ambulation, and everyday transfer tasks, as well as in clinical populations, will be crucial to establish its broader clinical applicability.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<label>5</label>
<title>Conclusion</title>
<p>This study provides evidence that a low-cost, EMG-controlled knee orthosis can meaningfully unload the knee extensors during both concentric (UP) and eccentric (DOWN) phases of the sit-to-stand cycle. Powered assistance reduced mean muscle activation on the braced limb without provoking compensatory over-reliance on the contralateral side and without disrupting trial-to-trial activation consistency. Participants rapidly adapted to the impedance controller, entraining anticipatory muscle activity within a single session, while reporting a low perceived workload and acceptable comfort, despite using a first-generation prototype. Torque capacity was limited to <inline-formula id="inf221">
<mml:math id="m225">
<mml:mrow>
<mml:mn>16</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (<inline-formula id="inf222">
<mml:math id="m226">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>0.23</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="normal">1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>,</mml:mo>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>15</mml:mn>
<mml:mtext>&#x2013;</mml:mtext>
<mml:mn>57</mml:mn>
<mml:mi>%</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> of typical STS demand), restricting applicability to heavier users or faster, more dynamic tasks. Results stem from short-term exposure in healthy adults. Longitudinal effects, clinical populations, and higher functional loads remain untested. Finally, intent detection relied on a sparse, manually calibrated EMG array that is susceptible to noise and electrode shift.</p>
<p>Our findings demonstrate that a retrofitted CE post-operative knee brace with consumer-grade EMG sensing and minimal calibration can reduce quadriceps effort during sit-to-stand without increasing subjective workload in healthy adults. These results support the technical feasibility of EMG-driven impedance assistance in a low-cost, lightweight form factor. However, we did not evaluate kinematic quality, pain, or functional outcomes in patient populations, and exposure was limited to a short, single-session protocol. We therefore view the present work as an initial step toward using existing orthoses equipped with motor hardware in early post-operative or neurological knee rehabilitation. Future work should focus on increasing motor torque and structural rigidity, while integrating IMU cues for multimodal intent detection, and implementing self-calibrating EMG gain adjustment are immediate priorities. Multi-session trials with post-operative patients will be required to confirm long-term efficacy and to refine controller parameters that balance assistance with progressive neuromuscular challenge.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec sec-type="ethics-statement" id="s7">
<title>Ethics statement</title>
<p>The studies involving humans were approved by Ethik-Kommission der Friedrich-Alexander-Universit&#xe4;t Erlangen-N&#xfc;rnberg. The studies were conducted in accordance with the local legislation and institutional requirements. The participants provided their written informed consent to participate in this study. Written informed consent was obtained from the individual(s) for the publication of any potentially identifiable images or data included in this article.</p>
</sec>
<sec sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>M-AS: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing. KS: Data curation, Formal Analysis, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing. MS: Data curation, Formal Analysis, Writing &#x2013; review and editing. MB: Writing &#x2013; review and editing. CC: Writing &#x2013; review and editing.</p>
</sec>
<ack>
<title>Acknowledgements</title>
<p>The authors thank the study participants and OT Ba&#xdf;ler GmbH, Erlangen, for their support of this research through expert knowledge and orthopedic equipment.</p>
</ack>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s11">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was used in the creation of this manuscript. We acknowledge the use of large language models for assistance in language editing and text refinement.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s12">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="s13">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/frobt.2025.1732294/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/frobt.2025.1732294/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<fn-group>
<fn fn-type="custom" custom-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1553972/overview">Marta Lorenzini</ext-link>, Istituto Italiano di Tecnologia (IIT), Italy</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/404389/overview">Mohamed Irfan Mohamed Refai</ext-link>, University of Twente, Netherlands</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2861975/overview">Younggeol Cho</ext-link>, Italian Institute of Technology (IIT), Italy</p>
</fn>
</fn-group>
<ref-list>
<title>References</title>
<ref id="B1">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Abu-Dakka</surname>
<given-names>F. J.</given-names>
</name>
<name>
<surname>Saveriano</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Variable impedance control and Learning&#x2014;a review</article-title>. <source>Front. Robotics AI</source> <volume>7</volume>, <fpage>590681</fpage>. <pub-id pub-id-type="doi">10.3389/frobt.2020.590681</pub-id>
<pub-id pub-id-type="pmid">33501348</pub-id>
</mixed-citation>
</ref>
<ref id="B2">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Akl</surname>
<given-names>A.-R.</given-names>
</name>
<name>
<surname>Gon&#xe7;alves</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Fonseca</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Hassan</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Vilas-Boas</surname>
<given-names>J. P.</given-names>
</name>
<name>
<surname>Concei&#xe7;&#xe3;o</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Muscle co-activation around the knee during different walking speeds in healthy females</article-title>. <source>Sensors</source> <volume>21</volume>, <fpage>677</fpage>. <pub-id pub-id-type="doi">10.3390/s21030677</pub-id>
<pub-id pub-id-type="pmid">33498231</pub-id>
</mixed-citation>
</ref>
<ref id="B3">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Attig</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Rauh</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Franke</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Krems</surname>
<given-names>J. F.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>System latency guidelines then and now &#x2014; is zero latency really considered necessary</article-title>. <source>Eng. Psychol. Cognitive Ergonomics. EPCE 2017</source>, <fpage>2</fpage>&#x2013;<lpage>14</lpage>. <pub-id pub-id-type="doi">10.1007/978-3-319-58475-1_1</pub-id>
</mixed-citation>
</ref>
<ref id="B4">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Balkman</surname>
<given-names>G. S.</given-names>
</name>
<name>
<surname>Hafner</surname>
<given-names>B. J.</given-names>
</name>
<name>
<surname>Rosen</surname>
<given-names>R. E.</given-names>
</name>
<name>
<surname>Morgan</surname>
<given-names>S. J.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Mobility experiences of adult lower limb orthosis users: a focus group study</article-title>. <source>Disabil. Rehabilitation</source> <volume>44</volume>, <fpage>7904</fpage>&#x2013;<lpage>7915</lpage>. <pub-id pub-id-type="doi">10.1080/09638288.2021.2002437</pub-id>
<pub-id pub-id-type="pmid">34807780</pub-id>
</mixed-citation>
</ref>
<ref id="B5">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bangaru</surname>
<given-names>S. S.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Aghazadeh</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Data quality and reliability assessment of wearable emg and imu sensor for construction activity recognition</article-title>. <source>Sensors</source> <volume>20</volume>, <fpage>5264</fpage>. <pub-id pub-id-type="doi">10.3390/s20185264</pub-id>
<pub-id pub-id-type="pmid">32942606</pub-id>
</mixed-citation>
</ref>
<ref id="B6">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Barbero</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Merletti</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Rainoldi</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2012</year>). <source>Atlas of muscle innervation zones</source>. <publisher-loc>Milano</publisher-loc>: <publisher-name>Springer</publisher-name>. <pub-id pub-id-type="doi">10.1007/978-88-470-2463-2</pub-id>
</mixed-citation>
</ref>
<ref id="B7">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Barrera S&#xe1;nchez</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Blanco Ortega</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Mart&#xed;nez Ray&#xf3;n</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>G&#xf3;mez Becerra</surname>
<given-names>F. A.</given-names>
</name>
<name>
<surname>Ab&#xfa;ndez Pliego</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Campos Amezcua</surname>
<given-names>R.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>State of the art review of active and passive knee orthoses</article-title>. <source>Machines</source> <volume>10</volume>, <fpage>865</fpage>. <pub-id pub-id-type="doi">10.3390/machines10100865</pub-id>
</mixed-citation>
</ref>
<ref id="B8">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bland</surname>
<given-names>J. M.</given-names>
</name>
<name>
<surname>Altman</surname>
<given-names>D. G.</given-names>
</name>
</person-group> (<year>1995</year>). <article-title>Multiple significance tests: the Bonferroni method</article-title>. <source>BMJ</source> <volume>310</volume>, <fpage>170</fpage>. <pub-id pub-id-type="doi">10.1136/bmj.310.6973.170</pub-id>
<pub-id pub-id-type="pmid">7833759</pub-id>
</mixed-citation>
</ref>
<ref id="B9">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Boschmann</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Neuhaus</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Vogt</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Kaltschmidt</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Platzner</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Dosen</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Immersive augmented reality system for the training of pattern classification control with a myoelectric prosthesis</article-title>. <source>J. NeuroEngineering Rehabilitation</source> <volume>18</volume>, <fpage>25</fpage>. <pub-id pub-id-type="doi">10.1186/s12984-021-00822-6</pub-id>
<pub-id pub-id-type="pmid">33541376</pub-id>
</mixed-citation>
</ref>
<ref id="B10">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Boyer</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Bouyer</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Roy</surname>
<given-names>J.-S.</given-names>
</name>
<name>
<surname>Campeau-Lecours</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Reducing noise, artifacts and interference in single-channel emg signals: a review</article-title>. <source>Sensors</source> <volume>23</volume>, <fpage>2927</fpage>. <pub-id pub-id-type="doi">10.3390/s23062927</pub-id>
<pub-id pub-id-type="pmid">36991639</pub-id>
</mixed-citation>
</ref>
<ref id="B11">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Brusamento</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Gigli</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Meattini</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Melchiorri</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Castellini</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2020</year>). &#x201c;<article-title>Closed-loop acquisition of training data improves myocontrol of a prosthetic hand</article-title>,&#x201d; in <source>
<italic>Proceedings of the international conference on neurorehabilitation (ICNR)</italic> (virtual conference)</source>, <fpage>1</fpage>&#x2013;<lpage>6</lpage>.</mixed-citation>
</ref>
<ref id="B12">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Burdet</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Osu</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Franklin</surname>
<given-names>D. W.</given-names>
</name>
<name>
<surname>Milner</surname>
<given-names>T. E.</given-names>
</name>
<name>
<surname>Kawato</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>The central nervous system stabilizes unstable dynamics by learning optimal impedance</article-title>. <source>Nature</source> <volume>414</volume>, <fpage>446</fpage>&#x2013;<lpage>449</lpage>. <pub-id pub-id-type="doi">10.1038/35106566</pub-id>
<pub-id pub-id-type="pmid">11719805</pub-id>
</mixed-citation>
</ref>
<ref id="B13">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Lyu</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Ding</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Electromyography-controlled lower extremity exoskeleton to provide wearers flexibility in walking</article-title>. <source>Biomed. Signal Process. Control</source> <volume>79</volume>, <fpage>104096</fpage>. <pub-id pub-id-type="doi">10.1016/j.bspc.2022.104096</pub-id>
</mixed-citation>
</ref>
<ref id="B14">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chesler</surname>
<given-names>N. C.</given-names>
</name>
<name>
<surname>Durfee</surname>
<given-names>W. K.</given-names>
</name>
</person-group> (<year>1997</year>). <article-title>Surface emg as a fatigue indicator during fes-induced isometric muscle contractions</article-title>. <source>J. Electromyogr. Kinesiol.</source> <volume>7</volume>, <fpage>27</fpage>&#x2013;<lpage>37</lpage>. <pub-id pub-id-type="doi">10.1016/S1050-6411(96)00016-8</pub-id>
<pub-id pub-id-type="pmid">20719689</pub-id>
</mixed-citation>
</ref>
<ref id="B15">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Choi</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Kang</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Young</surname>
<given-names>A. J.</given-names>
</name>
</person-group> (<year>2021</year>). &#x201c;<article-title>Effect of assistance timing in knee extensor muscle activation during sit-to-stand using a bilateral robotic knee exoskeleton</article-title>,&#x201d; in <source>Proceedings of the 43rd annual international conference of the IEEE engineering in medicine and biology Society</source> (<publisher-loc>Piscataway, NJ</publisher-loc>: <publisher-name>IEEE</publisher-name>), <fpage>4879</fpage>&#x2013;<lpage>4882</lpage>. <pub-id pub-id-type="doi">10.1109/EMBC46164.2021.9629965</pub-id>
</mixed-citation>
</ref>
<ref id="B16">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Clancy</surname>
<given-names>E. A.</given-names>
</name>
<name>
<surname>Hogan</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>1997</year>). &#x201c;<article-title>Theoretic and experimental comparison of root-mean-square and mean-absolute-value electromyogram amplitude detectors</article-title>,&#x201d; in <source>Proc. 19th annu. Int. Conf. IEEE engineering in medicine and biology Society (EMBS)</source> (<publisher-loc>Chicago, IL, USA</publisher-loc>), <fpage>1267</fpage>&#x2013;<lpage>1270</lpage>.</mixed-citation>
</ref>
<ref id="B17">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cognolato</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Atzori</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Marchesin</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Marangon</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Faccio</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Tiengo</surname>
<given-names>C.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>Multifunction control and evaluation of a 3d printed hand prosthesis with the myo armband by hand amputees</article-title>. <source>bioRxiv</source>. <pub-id pub-id-type="doi">10.1101/445460</pub-id>
</mixed-citation>
</ref>
<ref id="B18">
<mixed-citation publication-type="web">
<collab>CubeMars</collab> (<year>2023</year>). <article-title>AK80-9 brushless actuator</article-title>. <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="https://www.cubemars.com/goods-982-AK80-9.html">https://www.cubemars.com/goods-982-AK80-9.html</ext-link>.</comment>
</mixed-citation>
</ref>
<ref id="B19">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>De Luca</surname>
<given-names>C. J.</given-names>
</name>
</person-group> (<year>1997</year>). <article-title>The use of surface electromyography in biomechanics</article-title>. <source>J. Appl. Biomechanics</source> <volume>13</volume>, <fpage>135</fpage>&#x2013;<lpage>163</lpage>. <pub-id pub-id-type="doi">10.1123/jab.13.2.135</pub-id>
</mixed-citation>
</ref>
<ref id="B20">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>de Miguel-Fern&#xe1;ndez</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Lobo-Prat</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Prinsen</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Font-Llagunes</surname>
<given-names>J. M.</given-names>
</name>
<name>
<surname>Marchal-Crespo</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Control strategies used in lower limb exoskeletons for gait rehabilitation after brain injury: a systematic review and analysis of clinical effectiveness</article-title>. <source>J. NeuroEngineering Rehabilitation</source> <volume>20</volume>, <fpage>23</fpage>. <pub-id pub-id-type="doi">10.1186/s12984-023-01144-5</pub-id>
</mixed-citation>
</ref>
<ref id="B21">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dereshgi</surname>
<given-names>H. A.</given-names>
</name>
<name>
<surname>Dal</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Demir</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>T&#xfc;re</surname>
<given-names>N. F.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Orthoses: a systematic review</article-title>. <source>J. Smart Syst. Res.</source> <volume>2</volume>, <fpage>135</fpage>&#x2013;<lpage>149</lpage>.</mixed-citation>
</ref>
<ref id="B22">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Drillis</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Contini</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Bluestein</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>1964</year>). <article-title>Body Segment Parameters: a Survey of measurement techniques</article-title>. <source>Artif. Limbs</source> <volume>8</volume>, <fpage>44</fpage>&#x2013;<lpage>66</lpage>.<pub-id pub-id-type="pmid">14208177</pub-id>
</mixed-citation>
</ref>
<ref id="B23">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fajardo</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Maldonado</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Cardona</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Ferman</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Rohmer</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Evaluation of user-prosthesis interfaces for semg-based multifunctional prosthetic hands</article-title>. <source>Sensors</source> <volume>21</volume>, <fpage>7088</fpage>. <pub-id pub-id-type="doi">10.3390/s21217088</pub-id>
<pub-id pub-id-type="pmid">34770393</pub-id>
</mixed-citation>
</ref>
<ref id="B24">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Farrell</surname>
<given-names>T. R.</given-names>
</name>
<name>
<surname>Weir</surname>
<given-names>R. F.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>The optimal controller delay for myoelectric prostheses</article-title>. <source>IEEE Trans. Neural Syst. Rehabilitation Eng.</source> <volume>15</volume>, <fpage>111</fpage>&#x2013;<lpage>118</lpage>. <pub-id pub-id-type="doi">10.1109/TNSRE.2007.891391</pub-id>
<pub-id pub-id-type="pmid">17436883</pub-id>
</mixed-citation>
</ref>
<ref id="B25">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Goubault</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Turner</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Mailly</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Begon</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Dal Maso</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Verdugo</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Neuromotor variability partially explains different endurance capacities of expert pianists</article-title>. <source>Sci. Rep.</source> <volume>13</volume>, <fpage>15163</fpage>. <pub-id pub-id-type="doi">10.1038/s41598-023-42408-3</pub-id>
<pub-id pub-id-type="pmid">37704661</pub-id>
</mixed-citation>
</ref>
<ref id="B26">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gunnell</surname>
<given-names>A. J.</given-names>
</name>
<name>
<surname>Sarkisian</surname>
<given-names>S. V.</given-names>
</name>
<name>
<surname>Hayes</surname>
<given-names>H. A.</given-names>
</name>
<name>
<surname>Foreman</surname>
<given-names>K. B.</given-names>
</name>
<name>
<surname>Gabert</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Lenzi</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Powered knee exoskeleton improves sit-to-stand transitions in stroke patients using electromyographic control</article-title>. <source>Commun. Eng.</source> <volume>4</volume>, <fpage>104</fpage>. <pub-id pub-id-type="doi">10.1038/s44172-025-00440-3</pub-id>
<pub-id pub-id-type="pmid">40483372</pub-id>
</mixed-citation>
</ref>
<ref id="B27">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hart</surname>
<given-names>S. G.</given-names>
</name>
<name>
<surname>Staveland</surname>
<given-names>L. E.</given-names>
</name>
</person-group> (<year>1988</year>). <article-title>Development of NASA-TLX (task load index): results of empirical and theoretical research</article-title>. <source>
<italic>Adv. in Psychol.</italic> (Elsevier)</source> <volume>52</volume>, <fpage>139</fpage>&#x2013;<lpage>183</lpage>. <pub-id pub-id-type="doi">10.1016/S0166-4115(08)62386-9</pub-id>
</mixed-citation>
</ref>
<ref id="B28">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Herzog</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Van Dijsseldonk</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>L&#xfc;nenburger</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Riener</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Jana</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>The central nervous system adjusts muscle synergy structure and tightly controls rollator-supported transitions between sitting and standing</article-title>. <source>J. NeuroEngineering Rehabil.</source> <volume>22</volume>, <fpage>19</fpage>. <pub-id pub-id-type="doi">10.1186/s12984-025-01622-y</pub-id>
</mixed-citation>
</ref>
<ref id="B29">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huo</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Moon</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Alouane</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Bonnet</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Amirat</surname>
<given-names>Y.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Impedance modulation control of a lower-limb Exoskeleton to assist sit-to-stand movements</article-title>. <source>IEEE Trans. Robotics</source> <volume>38</volume>, <fpage>1230</fpage>&#x2013;<lpage>1249</lpage>. <pub-id pub-id-type="doi">10.1109/TRO.2021.3104244</pub-id>
</mixed-citation>
</ref>
<ref id="B30">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Igual</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Pardo</surname>
<given-names>L. A. J.</given-names>
</name>
<name>
<surname>Hahne</surname>
<given-names>J. M.</given-names>
</name>
<name>
<surname>Igual</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Myoelectric control for upper limb prostheses</article-title>. <source>Electronics</source> <volume>8</volume>, <fpage>1244</fpage>. <pub-id pub-id-type="doi">10.3390/electronics8111244</pub-id>
</mixed-citation>
</ref>
<ref id="B31">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Karavas</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Ajoudani</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Tsagarakis</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Saglia</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Bicchi</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Caldwell</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Tele-impedance based assistive control for a compliant knee exoskeleton</article-title>. <source>Robotics Aut. Syst.</source> <volume>73</volume>, <fpage>78</fpage>&#x2013;<lpage>90</lpage>. <pub-id pub-id-type="doi">10.1016/j.robot.2014.09.027</pub-id>
</mixed-citation>
</ref>
<ref id="B32">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kim</surname>
<given-names>J.-H.</given-names>
</name>
<name>
<surname>Shim</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Ahn</surname>
<given-names>D. H.</given-names>
</name>
<name>
<surname>Son</surname>
<given-names>B. J.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>S.-Y.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>D. Y.</given-names>
</name>
<etal/>
</person-group> (<year>2015</year>). <article-title>Design of a knee Exoskeleton using foot pressure and knee torque sensors</article-title>. <source>Int. J. Adv. Robotic Syst.</source> <volume>12</volume>, <fpage>112</fpage>. <pub-id pub-id-type="doi">10.5772/60782</pub-id>
</mixed-citation>
</ref>
<ref id="B33">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kim</surname>
<given-names>S.-H.</given-names>
</name>
<name>
<surname>Shin</surname>
<given-names>H.-J.</given-names>
</name>
<name>
<surname>Cho</surname>
<given-names>H.-Y.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Preliminary assessment of muscle activity and muscle characteristics during training with powered robotic Exoskeleton: a repeated-measures Study</article-title>. <source>Healthcare</source> <volume>9</volume>, <fpage>1003</fpage>. <pub-id pub-id-type="doi">10.3390/healthcare9081003</pub-id>
<pub-id pub-id-type="pmid">34442139</pub-id>
</mixed-citation>
</ref>
<ref id="B34">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kotake</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Dohi</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Kajiwara</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Sumi</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Koyama</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Miura</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>1993</year>). <article-title>An analysis of sit-to-stand movements</article-title>. <source>Archives Phys. Med. Rehabilitation</source> <volume>74</volume>, <fpage>1095</fpage>&#x2013;<lpage>1099</lpage>. <pub-id pub-id-type="doi">10.1016/0003-9993(93)90068-L</pub-id>
<pub-id pub-id-type="pmid">8215863</pub-id>
</mixed-citation>
</ref>
<ref id="B35">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kralj</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Jaeger</surname>
<given-names>R. J.</given-names>
</name>
<name>
<surname>Munih</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>1990</year>). <article-title>Analysis of standing up and sitting down in humans: definitions and normative data presentation</article-title>. <source>J. Biomechanics</source> <volume>23</volume>, <fpage>1123</fpage>&#x2013;<lpage>1138</lpage>. <pub-id pub-id-type="doi">10.1016/0021-9290(90)90005-N</pub-id>
<pub-id pub-id-type="pmid">2277047</pub-id>
</mixed-citation>
</ref>
<ref id="B36">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lau</surname>
<given-names>J. C. L.</given-names>
</name>
<name>
<surname>Mombaur</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Preliminary study on a novel protocol for improving familiarity with a lower-limb robotic exoskeleton in able-bodied, first-time users</article-title>. <source>Front. Robotics AI</source> <volume>8</volume>, <fpage>785251</fpage>. <pub-id pub-id-type="doi">10.3389/frobt.2021.785251</pub-id>
<pub-id pub-id-type="pmid">35087873</pub-id>
</mixed-citation>
</ref>
<ref id="B37">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Luken</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Leonhardt</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Misgeld</surname>
<given-names>B. J. E.</given-names>
</name>
</person-group> (<year>2017</year>). &#x201c;<article-title>Emg-driven model-based knee torque estimation on a variable impedance actuator orthosis</article-title>,&#x201d; in <source>2017 IEEE international conference on cyborg and bionic systems (CBS)</source>, <fpage>262</fpage>&#x2013;<lpage>267</lpage>. <pub-id pub-id-type="doi">10.1109/CBS.2017.8266112</pub-id>
</mixed-citation>
</ref>
<ref id="B38">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zhu</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Meng</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Ai</surname>
<given-names>Q.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Path planning and impedance control of a soft modular exoskeleton for coordinated upper limb rehabilitation</article-title>. <source>Front. Neurorobotics</source> <volume>15</volume>, <fpage>745531</fpage>. <pub-id pub-id-type="doi">10.3389/fnbot.2021.745531</pub-id>
<pub-id pub-id-type="pmid">34790109</pub-id>
</mixed-citation>
</ref>
<ref id="B39">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lyu</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>W.-H.</given-names>
</name>
<name>
<surname>Ding</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Pei</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Development of an EMG-controlled knee exoskeleton to assist home rehabilitation in a game context</article-title>. <source>Front. Neurorobotics</source> <volume>13</volume>, <fpage>67</fpage>. <pub-id pub-id-type="doi">10.3389/fnbot.2019.00067</pub-id>
<pub-id pub-id-type="pmid">31507400</pub-id>
</mixed-citation>
</ref>
<ref id="B40">
<mixed-citation publication-type="web">
<collab>MABRobotics</collab> (<year>2025</year>). <article-title>MD80 V2.1 motor controller</article-title>. <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="https://www.mabrobotics.pl/md-series">https://www.mabrobotics.pl/md-series</ext-link>.</comment>
</mixed-citation>
</ref>
<ref id="B41">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Mendez</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Hansen</surname>
<given-names>B. W.</given-names>
</name>
<name>
<surname>Grabow</surname>
<given-names>C. M.</given-names>
</name>
<name>
<surname>Smedegaard</surname>
<given-names>E. J. L.</given-names>
</name>
<name>
<surname>Skogberg</surname>
<given-names>N. B.</given-names>
</name>
<name>
<surname>Uth</surname>
<given-names>X. J.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). &#x201c;<article-title>Evaluation of the myo armband for the classification of hand motions</article-title>,&#x201d; in <source>
<italic>15th IEEE International Conference on Rehabilitation Robotics (ICORR)</italic> (London, United Kingdom: IEEE)</source>, <fpage>1211</fpage>&#x2013;<lpage>1214</lpage>. <pub-id pub-id-type="doi">10.1109/ICORR.2017.8009414</pub-id>
</mixed-citation>
</ref>
<ref id="B42">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mizner</surname>
<given-names>R. L.</given-names>
</name>
<name>
<surname>Snyder-Mackler</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Altered loading during walking and sit-to-stand is affected by quadriceps weakness after total knee arthroplasty</article-title>. <source>J. Orthop. Res.</source> <volume>23</volume>, <fpage>1083</fpage>&#x2013;<lpage>1090</lpage>. <pub-id pub-id-type="doi">10.1016/j.orthres.2005.01.021</pub-id>
<pub-id pub-id-type="pmid">16140191</pub-id>
</mixed-citation>
</ref>
<ref id="B43">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mohammadyari Gharehbolagh</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Dussault-Picard</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Arvisais</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Dixon</surname>
<given-names>P. C.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Muscle co-contraction and co-activation in cerebral palsy during gait: a scoping review</article-title>. <source>Gait and Posture</source> <volume>105</volume>, <fpage>6</fpage>&#x2013;<lpage>16</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2023.07.002</pub-id>
<pub-id pub-id-type="pmid">37453339</pub-id>
</mixed-citation>
</ref>
<ref id="B44">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Norman-Gerum</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>McPhee</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Comprehensive description of sit-to-stand motions using force and angle data</article-title>. <source>J. Biomechanics</source> <volume>112</volume>, <fpage>110046</fpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2020.110046</pub-id>
<pub-id pub-id-type="pmid">33099236</pub-id>
</mixed-citation>
</ref>
<ref id="B45">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Park</surname>
<given-names>E. J.</given-names>
</name>
<name>
<surname>Akbas</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Eckert-Erdheim</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Sloot</surname>
<given-names>L. H.</given-names>
</name>
<name>
<surname>Fite</surname>
<given-names>K. B.</given-names>
</name>
<name>
<surname>Nuckols</surname>
<given-names>R. W.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>A hinge-free, non-restrictive, lightweight tethered exosuit for knee extension assistance during walking</article-title>. <source>IEEE Trans. Med. Robot. Bionics</source> <volume>2</volume>, <fpage>165</fpage>&#x2013;<lpage>175</lpage>. <pub-id pub-id-type="doi">10.1109/TMRB.2020.2989321</pub-id>
<pub-id pub-id-type="pmid">33748694</pub-id>
</mixed-citation>
</ref>
<ref id="B46">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Pinheiro</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2002</year>). <source>Mixed-Effects models in S and S-PLUS. Statistics and computing ser</source>. <publisher-loc>New York, NY</publisher-loc>: <publisher-name>Springer</publisher-name>.</mixed-citation>
</ref>
<ref id="B47">
<mixed-citation publication-type="web">
<collab>Raspberry Pi Ltd</collab> (<year>2025</year>). <article-title>Raspberry pi</article-title>. <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="https://www.raspberrypi.com/">https://www.raspberrypi.com/</ext-link>.</comment>
</mixed-citation>
</ref>
<ref id="B48">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sarkisian</surname>
<given-names>S. V.</given-names>
</name>
<name>
<surname>Ishmael</surname>
<given-names>M. K.</given-names>
</name>
<name>
<surname>Hunt</surname>
<given-names>G. R.</given-names>
</name>
<name>
<surname>Lenzi</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Design, development, and validation of a self-aligning mechanism for high-torque powered knee exoskeletons</article-title>. <source>IEEE Trans. Med. Robotics Bionics</source> <volume>2</volume>, <fpage>248</fpage>&#x2013;<lpage>259</lpage>. <pub-id pub-id-type="doi">10.1109/TMRB.2020.2981951</pub-id>
</mixed-citation>
</ref>
<ref id="B49">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Sarkisian</surname>
<given-names>S. V.</given-names>
</name>
<name>
<surname>Gunnell</surname>
<given-names>A. J.</given-names>
</name>
<name>
<surname>Bo Foreman</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Lenzi</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2022</year>). &#x201c;<article-title>Knee Exoskeleton reduces muscle effort and improves balance during sit-to-stand transitions after stroke: a case Study</article-title>,&#x201d; in <source>2022 International Conference on Rehabilitation Robotics (ICORR)</source>, <fpage>1</fpage>&#x2013;<lpage>6</lpage>. <pub-id pub-id-type="doi">10.1109/ICORR55369.2022.9896571</pub-id>
</mixed-citation>
</ref>
<ref id="B50">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Scheidl</surname>
<given-names>M.-A.</given-names>
</name>
<name>
<surname>Akarsu</surname>
<given-names>&#x130;. B.</given-names>
</name>
<name>
<surname>Mehrkens</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Schuh</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Castellini</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2024</year>). <source>The AIROB-active-knee-orthosis</source>. <publisher-loc>Gen&#xeb;ve, Switzerland</publisher-loc>: <publisher-name>Zenodo</publisher-name>. <pub-id pub-id-type="doi">10.5281/zenodo.14286202</pub-id>
</mixed-citation>
</ref>
<ref id="B51">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Schenkman</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Berger</surname>
<given-names>R. A.</given-names>
</name>
<name>
<surname>Riley</surname>
<given-names>P. O.</given-names>
</name>
<name>
<surname>Mann</surname>
<given-names>R. W.</given-names>
</name>
<name>
<surname>Hodge</surname>
<given-names>W. A.</given-names>
</name>
</person-group> (<year>1990</year>). <article-title>Whole-body movements during rising to standing from sitting</article-title>. <source>Phys. Ther.</source> <volume>70</volume>, <fpage>638</fpage>&#x2013;<lpage>648</lpage>. <pub-id pub-id-type="doi">10.1093/ptj/70.10.638</pub-id>
<pub-id pub-id-type="pmid">2217543</pub-id>
</mixed-citation>
</ref>
<ref id="B52">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shepherd</surname>
<given-names>M. K.</given-names>
</name>
<name>
<surname>Rouse</surname>
<given-names>E. J.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Design and validation of a torque-controllable knee Exoskeleton for sit-to-stand assistance</article-title>. <source>IEEE/ASME Trans. Mechatronics</source> <volume>22</volume>, <fpage>1695</fpage>&#x2013;<lpage>1704</lpage>. <pub-id pub-id-type="doi">10.1109/TMECH.2017.2704521</pub-id>
</mixed-citation>
</ref>
<ref id="B53">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shore</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>de Eyto</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>O&#x2019;Sullivan</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Technology acceptance and perceptions of robotic assistive devices by older adults: implications for exoskeleton design</article-title>. <source>Disabil. Rehabilitation Assistive Technol.</source> <volume>17</volume>, <fpage>782</fpage>&#x2013;<lpage>790</lpage>. <pub-id pub-id-type="doi">10.1080/17483107.2020.1817988</pub-id>
</mixed-citation>
</ref>
<ref id="B54">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sibella</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Galli</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Romei</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Montesano</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Crivellini</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>Biomechanical analysis of sit-to-stand movement in normal and obese subjects</article-title>. <source>Clin. Biomech.</source> <volume>18</volume>, <fpage>745</fpage>&#x2013;<lpage>750</lpage>. <pub-id pub-id-type="doi">10.1016/S0268-0033(03)00144-X</pub-id>
<pub-id pub-id-type="pmid">12957561</pub-id>
</mixed-citation>
</ref>
<ref id="B55">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Smith</surname>
<given-names>L. H.</given-names>
</name>
<name>
<surname>Hargrove</surname>
<given-names>L. J.</given-names>
</name>
<name>
<surname>Lock</surname>
<given-names>B. A.</given-names>
</name>
<name>
<surname>Kuiken</surname>
<given-names>T. A.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Determining the optimal window length for pattern recognition-based myoelectric control: balancing the competing effects of classification error and controller delay</article-title>. <source>IEEE Trans. Neural Syst. Rehabilitation Eng.</source> <volume>19</volume>, <fpage>186</fpage>&#x2013;<lpage>192</lpage>. <pub-id pub-id-type="doi">10.1109/TNSRE.2010.2100828</pub-id>
<pub-id pub-id-type="pmid">21193383</pub-id>
</mixed-citation>
</ref>
<ref id="B56">
<mixed-citation publication-type="web">
<collab>Sporlastic</collab> (<year>2023</year>). <article-title>GENUDYN&#xae; CI STEP THRU</article-title>. <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="https://www.sporlastic.de/produkt/artikel/genudyn-ci-step-thru/">https://www.sporlastic.de/produkt/artikel/genudyn-ci-step-thru/</ext-link>.</comment>
</mixed-citation>
</ref>
<ref id="B57">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tam</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Boukadoum</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Campeau-Lecours</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Gosselin</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Intuitive real-time control strategy for high-density myoelectric hand prosthesis using deep and transfer learning</article-title>. <source>Sci. Rep.</source> <volume>11</volume>, <fpage>11275</fpage>. <pub-id pub-id-type="doi">10.1038/s41598-021-90688-4</pub-id>
<pub-id pub-id-type="pmid">34050220</pub-id>
</mixed-citation>
</ref>
<ref id="B58">
<mixed-citation publication-type="web">
<collab>Thalmic Labs</collab> (<year>2023</year>). <article-title>Thalmic labs github</article-title>. <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="https://github.com/thalmiclabs">https://github.com/thalmiclabs</ext-link>.</comment>
</mixed-citation>
</ref>
<ref id="B59">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Villa-Parra</surname>
<given-names>A. C.</given-names>
</name>
<name>
<surname>Delisle-Rodriguez</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Souza Lima</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Frizera-Neto</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Bastos</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Knee impedance modulation to control an active orthosis using insole sensors</article-title>. <source>Sensors Basel, Switz.</source> <volume>17</volume>, <fpage>2751</fpage>. <pub-id pub-id-type="doi">10.3390/s17122751</pub-id>
<pub-id pub-id-type="pmid">29182569</pub-id>
</mixed-citation>
</ref>
<ref id="B60">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>West</surname>
<given-names>R. M.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Best practice in statistics: the use of log transformation</article-title>. <source>Ann. Clin. Biochem.</source> <volume>59</volume>, <fpage>162</fpage>&#x2013;<lpage>165</lpage>. <pub-id pub-id-type="doi">10.1177/00045632211050531</pub-id>
<pub-id pub-id-type="pmid">34666549</pub-id>
</mixed-citation>
</ref>
<ref id="B61">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Witte</surname>
<given-names>K. A.</given-names>
</name>
<name>
<surname>Fatschel</surname>
<given-names>A. M.</given-names>
</name>
<name>
<surname>Collins</surname>
<given-names>S. H.</given-names>
</name>
</person-group> (<year>2017</year>). &#x201c;<article-title>Design of a lightweight, tethered, torque-controlled knee exoskeleton</article-title>,&#x201d; in <source>Proc. IEEE Int. conf. rehabilitation robotics (ICORR)</source>, <fpage>1646</fpage>&#x2013;<lpage>1653</lpage>. <pub-id pub-id-type="doi">10.1109/ICORR.2017.8009484</pub-id>
</mixed-citation>
</ref>
<ref id="B62">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Lallo</surname>
<given-names>A. D.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Fu</surname>
<given-names>Q.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Bio-inspired design of a self-aligning, lightweight, and highly-compliant cable-driven knee exoskeleton</article-title>. <source>Front. Hum. Neurosci.</source> <volume>16</volume>, <fpage>1018160</fpage>. <pub-id pub-id-type="doi">10.3389/fnhum.2022.1018160</pub-id>
<pub-id pub-id-type="pmid">36419645</pub-id>
</mixed-citation>
</ref>
<ref id="B63">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Jin</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Zheng</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Active knee joint exoskeleton for stair ascent augmentation</article-title>. <source>Sci. China Inf. Sci.</source> <volume>64</volume>, <fpage>139204</fpage>. <pub-id pub-id-type="doi">10.1007/s11432-018-9767-6</pub-id>
</mixed-citation>
</ref>
<ref id="B64">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhou</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Rymer</surname>
<given-names>W. Z.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Factors governing the form of the relation between muscle force and the emg: a simulation study</article-title>. <source>J. Neurophysiology</source> <volume>92</volume>, <fpage>2878</fpage>&#x2013;<lpage>2886</lpage>. <pub-id pub-id-type="doi">10.1152/jn.00367.2004</pub-id>
<pub-id pub-id-type="pmid">15201310</pub-id>
</mixed-citation>
</ref>
<ref id="B65">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhu</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Gong</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Qi</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Song</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Compliant force control for robots: a survey</article-title>. <source>Mathematics</source> <volume>13</volume>, <fpage>2204</fpage>. <pub-id pub-id-type="doi">10.3390/math13132204</pub-id>
</mixed-citation>
</ref>
</ref-list>
</back>
</article>