<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article article-type="research-article" dtd-version="2.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Bioeng. Biotechnol.</journal-id>
<journal-title>Frontiers in Bioengineering and Biotechnology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Bioeng. Biotechnol.</abbrev-journal-title>
<issn pub-type="epub">2296-4185</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1385264</article-id>
<article-id pub-id-type="doi">10.3389/fbioe.2024.1385264</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Bioengineering and Biotechnology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Heel-to-toe drop effects on biomechanical and muscle synergy responses during uphill walking</article-title>
<alt-title alt-title-type="left-running-head">Jiang 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/fbioe.2024.1385264">10.3389/fbioe.2024.1385264</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Jiang</surname>
<given-names>Liang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2415311/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Qu</surname>
<given-names>Feng</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Zihan</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1750900/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Xue</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Gao</surname>
<given-names>Xianzhi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Sun</surname>
<given-names>Qing</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Huo</surname>
<given-names>Bo</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2345679/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Aerospace Engineering</institution>, <institution>Beijing Institute of Technology</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Biomechanics Laboratory</institution>, <institution>Department of Kinesiology</institution>, <institution>Beijing Sport University</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Fashion Accessory Art and Engineering College</institution>, <institution>Beijing Institute of Fashion Technology</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Sport Biomechanics Center</institution>, <institution>Institute of Artificial Intelligence in Sports</institution>, <institution>Capital University of Physical Education and Sports</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1721688/overview">Cristian Romagnoli</ext-link>, Universit&#xe0; telematica San Raffaele, Italy</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1682433/overview">Samuel Acu&#xf1;a</ext-link>, George Mason University, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2692545/overview">Yi-Xing Liu</ext-link>, ETH Z&#xfc;rich, Singapore</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Bo Huo, <email>huobo@cupes.edu.cn</email>; Qing Sun, <email>7520210003@bit.edu.cn</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>10</day>
<month>05</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1385264</elocation-id>
<history>
<date date-type="received">
<day>12</day>
<month>02</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>26</day>
<month>04</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Jiang, Qu, Yang, Chen, Gao, Sun and Huo.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Jiang, Qu, Yang, Chen, Gao, Sun and Huo</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). 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.</p>
</license>
</permissions>
<abstract>
<p>Uphill walking is a common task encountered in daily life, with steeper inclines potentially imposing greater biomechanical and neuromuscular demands on the human body. The heel-to-toe drop (HTD) in footwear may influence the biomechanical and neuromuscular pattern of uphill walking; but the impact remains unclear. Adjustments in HTD can modulate biomechanical and neuromuscular patterns, mitigating the demands and optimizing the body&#x2019;s response to different inclinations. We hypothesize that adjustments in HTD can modulate biomechanical and neuromuscular patterns, mitigating the demands and optimizing the body&#x2019;s response to different inclinations. Nineteen healthy men walked on an adjustable slope walkway, with varied inclinations (6&#xb0;, 12&#xb0;, 20&#xb0;) and HTD shoes (10mm, 25mm, 40&#xa0;mm), while the marker positions, ground reaction forces and electromyography data were collected. Our study reveals that gait temporo-spatial parameters are predominantly affected by inclination over HTD. Inclination has a more pronounced effect on kinematic variables, while both inclination and HTD significantly modulate kinetic and muscle synergy parameters. This study demonstrates that an increase in the inclination leads to changes in biomechanical and neuromuscular responses during uphill walking and the adjustment of HTD can modulate these responses during uphill walking. However, the present study suggests that an increased HTD may lead to elevated loads on the knee joint and these adverse effects need more attention.</p>
</abstract>
<kwd-group>
<kwd>slope</kwd>
<kwd>heel-to-toe drop</kwd>
<kwd>gait</kwd>
<kwd>joint work</kwd>
<kwd>frontal plane</kwd>
<kwd>muscle synergy</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Biomechanics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Slopes are commonly encountered during hiking and everyday activities. Navigating slopes presents more of a challenge than flat terrain. Ascending a slope increases metabolic work (<xref ref-type="bibr" rid="B42">Minetti et al., 2002</xref>; <xref ref-type="bibr" rid="B20">Franz and Kram, 2012</xref>; <xref ref-type="bibr" rid="B70">Yang et al., 2019</xref>) and necessitates adjustments in the activity of the upper and lower limbs and trunk muscles to maintain balance while progressing both forward and upward (<xref ref-type="bibr" rid="B35">Leroux et al., 2002</xref>; <xref ref-type="bibr" rid="B33">Lay et al., 2006</xref>; <xref ref-type="bibr" rid="B29">Kimel-Naor et al., 2017</xref>). The increased incline alters gait patterns and demands greater physiological function from joints and muscles, leading to reduced step length, speed, and stride frequency (<xref ref-type="bibr" rid="B29">Kimel-Naor et al., 2017</xref>), as well as increased positive work in the ankle, knee, and hip joints (<xref ref-type="bibr" rid="B2">Alexander et al., 2017</xref>; <xref ref-type="bibr" rid="B70">Yang et al., 2019</xref>), and heightened lower limb muscle activation (<xref ref-type="bibr" rid="B34">Lay et al., 2007</xref>). The likelihood of falls is greater when walking on slopes compared to level surfaces, particularly for older adults and individuals with disabilities (<xref ref-type="bibr" rid="B28">Kannus et al., 1999</xref>; <xref ref-type="bibr" rid="B41">Miller et al., 2001</xref>; <xref ref-type="bibr" rid="B47">Redfern et al., 2001</xref>). Epidemiological studies have also indicated a higher incidence of lower limb injuries, such as skin abrasions, blisters, muscle strains, fractures, and ankle sprains, during mountain climbing and hiking (<xref ref-type="bibr" rid="B22">Heggie and Heggie, 2004</xref>; <xref ref-type="bibr" rid="B27">Johnson et al., 2007</xref>). Consequently, investigating safer sports strategies for slope activities is of great importance.</p>
<p>Shoes directly contact with the ground and their structure and materials affect human motion (<xref ref-type="bibr" rid="B64">Wiedemeijer and Otten, 2018</xref>; <xref ref-type="bibr" rid="B59">Sun et al., 2020</xref>). The heel-to-toe drop (HTD) of shoes, which refers to the difference in thickness between the forefoot and heel parts of the sole, has been identified as a factor that may influence biomechanical parameters during walking (<xref ref-type="bibr" rid="B12">Cowley et al., 2009</xref>; <xref ref-type="bibr" rid="B13">Cronin, 2014</xref>). As HTD increases, several changes of gait characteristics have been observed. The gait cycle time tends to increase, while gait speed slows down due to a prolonged support period and shortened swing period (<xref ref-type="bibr" rid="B4">Barkema et al., 2012</xref>; <xref ref-type="bibr" rid="B16">Di Sipio et al., 2018</xref>). The range of motion (RoM) of the ankle, knee or hip decreases during level walking when wearing high-heel shoes (<xref ref-type="bibr" rid="B40">Mika et al., 2012</xref>; <xref ref-type="bibr" rid="B3">Annoni et al., 2014</xref>). Additionally, an increased HTD during level walking may induce alterations in kinetic and electromyographic parameters of the lower limb (<xref ref-type="bibr" rid="B55">Simonsen et al., 2012</xref>). These alterations are commonly associated with an elevated risk of injury to the ankle and knee joints (<xref ref-type="bibr" rid="B4">Barkema et al., 2012</xref>; <xref ref-type="bibr" rid="B40">Mika et al., 2012</xref>; <xref ref-type="bibr" rid="B5">Barnish and Barnish, 2016</xref>). However, the aforementioned results are based on level walking, and research on the adjustment of lower limb biomechanical patterns in response to HTD during slope walking is still limited.</p>
<p>Walking is a physical activity that requires a high degree of coordination between joints and muscles to be completed (<xref ref-type="bibr" rid="B6">Bianchi et al., 1998</xref>; <xref ref-type="bibr" rid="B31">Lacquaniti et al., 2012</xref>; <xref ref-type="bibr" rid="B19">Esmaeili et al., 2022</xref>). To simplify the high degree of freedom in the human motor system, muscle activity can be divided into the groups with fixed spatial structures that are activated together, known as muscle synergy or motor modules (<xref ref-type="bibr" rid="B9">Cappellini et al., 2006</xref>; <xref ref-type="bibr" rid="B25">Ivanenko et al., 2006</xref>; <xref ref-type="bibr" rid="B7">Bizzi and Cheung, 2013</xref>). Pathological conditions, such as stroke and cerebral palsy, can influence this coordination (<xref ref-type="bibr" rid="B11">Clark et al., 2010</xref>; <xref ref-type="bibr" rid="B56">Steele et al., 2015</xref>). When walking uphill, the number of muscle synergy patterns remains the same as level walking (<xref ref-type="bibr" rid="B48">Rozumalski et al., 2017</xref>; <xref ref-type="bibr" rid="B49">Saito et al., 2018</xref>; <xref ref-type="bibr" rid="B37">Liu and Gutierrez-Farewik, 2023</xref>). However, the frequencies of respective synergies vary due to changes in mechanical demands between uphill and level walking (<xref ref-type="bibr" rid="B26">Janshen et al., 2017</xref>), where uphill walking requires the lower limb muscles to work more to lift up and maintain balance (<xref ref-type="bibr" rid="B62">Wall-Scheffler et al., 2010</xref>; <xref ref-type="bibr" rid="B20">Franz and Kram, 2012</xref>). Furthermore, HTD influences the function of lower limb muscles while walking (<xref ref-type="bibr" rid="B44">Park et al., 2010</xref>; <xref ref-type="bibr" rid="B55">Simonsen et al., 2012</xref>), and studies on the impact of HTD on muscle synergy and muscle work during uphill walking are relatively scarce.</p>
<p>Due to the differences of biomechanically and muscle functional roles between level and slope gait (<xref ref-type="bibr" rid="B45">Pickle et al., 2016</xref>; <xref ref-type="bibr" rid="B63">Wen et al., 2019</xref>), the findings from level walking may not be directly applicable to slope walking. Existing patents have introduced footwear with adjustable heel heights (<xref ref-type="bibr" rid="B30">Kumar et al., 2020</xref>). The underlying principle of these patents involves modulating heel height to align the foot in a more natural orientation relative to the inclination of the surface. Heel elevation during uphill walking may reduce dorsiflexion angle, simulating a flat-foot position, but its impact on muscle coordination varies among individuals and is under-researched. The interaction between inclination and HTD on biomechanics and neuromuscular responses remains unclear.</p>
<p>We hypothesize that adjustments in HTD can modulate biomechanical and neuromuscular patterns, mitigating the demands and optimizing the body&#x2019;s response to different inclinations.</p>
</sec>
<sec sec-type="methods" id="s2">
<title>2 Methods</title>
<sec id="s2-1">
<title>2.1 Participants</title>
<p>Nineteen healthy men (Age: 23.4 &#xb1; 2.1 years; Height: 176.5 &#xb1; 5.3 cm; Weight: 70.4 &#xb1; 7.9 kg; Shoe size: 42 or 43 EU) free of any neurological or musculoskeletal disorders volunteered to participate in the study. Each subject signed an informed consent form approved by the Institutional Review Board of Capital University of Physical Education and Sports.</p>
</sec>
<sec id="s2-2">
<title>2.2 Conditions of inclination and HTD</title>
<p>An adjustable slope walkway was built first and it was prepared according to the procedure used by previous research (<xref ref-type="bibr" rid="B70">Yang et al., 2019</xref>). The main structure of the slope walkway is an aluminum alloy frame and wood surface. The force plate (Kistler 9281CA, Switzerland) was mounted on a vertical strut in the middle of the slope walkway. Wooden flat walkways are located in front and at the end of the slope walkway, The front-end wooden walkway platform is 1.4&#xa0;m in length and 1&#xa0;m in width. The rear wooden walkway platform measures 1.2&#xa0;m in length and 1&#xa0;m in width. The sloped walkway extends for 3.17&#xa0;m in length and is 1&#xa0;m wide (<xref ref-type="fig" rid="F1">Figure 1</xref>). The inclinations was adjusted to 6&#xb0;, 12&#xb0; or 20&#xb0; (<xref ref-type="bibr" rid="B17">Earhart and Bastian, 2000</xref>; <xref ref-type="bibr" rid="B46">Prentice et al., 2004</xref>; <xref ref-type="bibr" rid="B33">Lay et al., 2006</xref>). After initially selecting the inclinations at random, the subjects wore standard shoes under various HTD conditions (10mm, 25mm, and 40&#xa0;mm) randomly as shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. The remaining two slope conditions, each with three HTD settings, were conducted in a randomized sequence. Five practice trials and three uphill walking trails were completed for each inclination and HTD condition at subject&#x2019;s self-paced speed. Trials were discarded if the participant&#x2019;s right foot stepped on the force platform incompletely, or if the participant targeted the platform, to ensure movement authenticity and prevent unnatural gait patterns from biasing the results.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Adjustable slope walkway. <bold>(A)</bold> diagram. <bold>(B)</bold> Scene pictures.</p>
</caption>
<graphic xlink:href="fbioe-12-1385264-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The thickness of sole and insole during experiments. <bold>(A)</bold> The photo of a standard shoe. <bold>(B)</bold> The HTD condition of an insole.</p>
</caption>
<graphic xlink:href="fbioe-12-1385264-g002.tif"/>
</fig>
</sec>
<sec id="s2-3">
<title>2.3 Motion capture, GRF and EMG measurements</title>
<p>Twenty-nine reflective markers were placed according to a modified Halen Hayes Marker set (<xref ref-type="bibr" rid="B60">Vaughan et al., 1999</xref>). Three reflective markers was placed on the three corners of the force platform to mark its position. Kinematic data were collected at 200&#xa0;Hz with an eight-camera 3D Optical Capture system (Motion Analysis Raptor-4, United States). Ground reaction force (GRF) was recorded at 1000&#xa0;Hz. Surface electromyography (EMG) data of the following eight muscles of the right lower limb were recorded at 2000&#xa0;Hz using a wireless EMG system (Delsys Trigno, United States): tibialis anterior (TA), gastrocnemius medialis (GM), gastrocnemius lateralis (GL), rectus femoris (RF), vastus medialis (VM), vastus lateralis (VL), semitendinosus (ST), biceps femoris (long head, BF). Location of electrodes using the same method of one previous research (<xref ref-type="bibr" rid="B23">Hermens et al., 2000</xref>). Marker position, GRF and EMG data were synchronized using an external trigger signal.</p>
</sec>
<sec id="s2-4">
<title>2.4 Kinematic and kinetic analysis</title>
<p>Kinematic data was further processed with Cortex (version 2.6, Motion Analysis Corporation, Santa Rosa, CA). The software was then used to transform the GRFs of the force plate and align them with the global reference system. The processing of GRF data was carried out using Matlab programming (MathWorks, Natick, MA). Kinematic and GRF data were low pass filtered (4th-order, zero-lag, Butterworth), with a cut off frequency of 8&#xa0;Hz and 15Hz, respectively (<xref ref-type="bibr" rid="B70">Yang et al., 2019</xref>). Heel-strikes (HS) and toe-offs (TO) of the right foot were identified according to the 10N-threshold vertical GRF or a foot marker-based algorithm (<xref ref-type="bibr" rid="B43">O&#x27;Connor et al., 2007</xref>). For each gait cycle, the temporo-spatial parameters were calculated such as gait speed, stride length, duration of stance phase, duration of double stance phase, and cadence. The joint kinematics coordinate reference systems were defined according to the recommendation of the International Society of Biomechanics (<xref ref-type="bibr" rid="B67">Wu and Cavanagh, 1995</xref>; <xref ref-type="bibr" rid="B68">Wu et al., 2002</xref>). The range of motion (RoM) and the joint angles at the moment of HS for the ankle, knee, and hip joints were assessed. Joint moment were calculated according to the procedure used by previous research (<xref ref-type="bibr" rid="B65">Winter 1980</xref>; <xref ref-type="bibr" rid="B60">Vaughan et al., 1999</xref>). Joint powers were calculated by multiplying joint angular velocity by joint moment (<xref ref-type="bibr" rid="B66">Winter 1991</xref>; <xref ref-type="bibr" rid="B18">Eng and Winter 1995</xref>). Joint moments and powers were normalized to body weight (BW).</p>
</sec>
<sec id="s2-5">
<title>2.5 Muscle synergy analysis</title>
<p>EMG activity was analyzed using R script (R v3.6.3, R Core TEAM, 2020, R Foundation for Statistical Computing, Vienna, Austria). The raw EMG data was band-pass filtered between 50 and 500Hz, then full-wave rectified, and finally low-pass filtered (4th-order, zero-lag, Butterworth) with a cut-off frequency of 20&#xa0;Hz for to create a linear envelope (<xref ref-type="bibr" rid="B53">Santuz et al., 2020</xref>). EMG data of each muscle was normalized to its maximum value across all conditions (<xref ref-type="bibr" rid="B14">Devarajan and Cheung, 2014</xref>). Each gait cycle was then time-normalized to 200 points, with 100 points each assigned to support and swing phases (<xref ref-type="bibr" rid="B52">Santuz et al., 2018</xref>; <xref ref-type="bibr" rid="B50">Santuz et al., 2019</xref>). The classical Gaussian non-negative matrix factorization (NNMF) algorithm extracted muscle synergies, organized into a matrix V with dimensions <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (m rows and n columns). Where n represents the number of normalized time points. The matrix V was factorized using NNMF, such that <inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">V</mml:mi>
<mml:mo>&#x2248;</mml:mo>
<mml:mi mathvariant="normal">V</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">R</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>WH</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>, with the new matrix VR reconstructed by multiplying the two matrices W and H to approximate the original matrix V. The motor primitives matrix H contains time-dependent coefficients of the factorization with dimensions <inline-formula id="inf3">
<mml:math id="m3">
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, where the minimum number of rows r represents the number of synergies required to satisfactorily reconstruct the original set of signals V (<xref ref-type="bibr" rid="B32">Lacquaniti et al., 2012</xref>). Update rules for matrices W and H were applied, and reconstruction quality was measured by <italic>R</italic>
<sup>2</sup>, with convergence at a change &#x2264;0.01% over 20 iterations (<xref ref-type="bibr" rid="B51">Santuz et al., 2017</xref>). The minimum synergies were determined by fitting <italic>R</italic>
<sup>2</sup> values to synergies and recalculating errors (<xref ref-type="bibr" rid="B10">Cheung et al., 2005</xref>) after removing points until two remained or error was &#x3c;10&#x207b;&#x2074; (<xref ref-type="bibr" rid="B50">Santuz et al., 2019</xref>). Motor primitives were classified using K-means clustering, clustering based on the distance between features, and discarding irrelevant primitives by <italic>R</italic>
<sup>2</sup> comparison (<xref ref-type="bibr" rid="B53">Santuz et al., 2020</xref>). The center of activity (CoA) and full width at half maximum (FWHM) were calculated for activation patterns under various conditions using polar coordinates and averaged for stance and swing phases (<xref ref-type="bibr" rid="B8">Cappellini et al., 2016</xref>).</p>
</sec>
<sec id="s2-6">
<title>2.6 Statistics</title>
<p>The values for the three trials were averaged for each subject at each HTD and inclination. A two-way repeated measures ANOVA was utilized to evaluate the influence of HTD and inclination on gait temporo-spatial parameters, kinematics, kinetics, and muscle synergies. Significant main or interaction effects were identified (<italic>p</italic> &#x3c; 0.05). Post hoc analyses with the Tukey test (<inline-formula id="inf4">
<mml:math id="m4">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.05) elucidated these effects. Effect sizes were quantified using Partial Eta Squared (<inline-formula id="inf5">
<mml:math id="m5">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>), with values of 0.01, 0.06, and 0.14 representing small, moderate, and large effects, respectively. All statistical analyses were performed using SPSS v23 software (SPSS Inc., Chicago, IL, United States).</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Inclination rather than HTD influences the temporo-spatial parameters of gait</title>
<p>No inclination&#x2715;HTD interaction effects were observed for temporo-spatial parameters. A significant main effect of inclinations (<xref ref-type="table" rid="T1">Table 1</xref>) was observed for gait speed (F &#x3d; 22.56, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf6">
<mml:math id="m6">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.85), stride length (F &#x3d; 13.07, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf7">
<mml:math id="m7">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.71), stance duration (F &#x3d; 30.96, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf8">
<mml:math id="m8">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.78), double stance (F &#x3d; 14.03, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf9">
<mml:math id="m9">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.61), and cadence (F &#x3d; 18.97, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf10">
<mml:math id="m10">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.83). There was no significant main effect observed for HTD in temporo-spatial parameters.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Mean (SD) gait parameters used to describe walking on three inclinations with three HTD-levels.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="3" align="center">Variable</th>
<th colspan="4" align="left"/>
<th colspan="10" align="center">ANOVA results</th>
</tr>
<tr>
<th colspan="4" align="center">HTD</th>
<th colspan="3" align="center">Interaction</th>
<th colspan="3" align="center">Inclination</th>
<th colspan="3" align="center">HTD</th>
<th rowspan="2" align="center">Post-hoc</th>
</tr>
<tr>
<th align="center">Inclination</th>
<th align="center">10&#xa0;mm</th>
<th align="center">25&#xa0;mm</th>
<th align="center">40&#xa0;mm</th>
<th align="center">
<italic>F</italic>
</th>
<th align="center">
<italic>p</italic>
</th>
<th align="center">
<inline-formula id="inf11">
<mml:math id="m11">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3b7;</mml:mi>
<mml:mi>p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<italic>F</italic>
</th>
<th align="center">
<italic>p</italic>
</th>
<th align="center">
<inline-formula id="inf12">
<mml:math id="m12">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3b7;</mml:mi>
<mml:mi>p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<italic>F</italic>
</th>
<th align="center">
<italic>p</italic>
</th>
<th align="center">
<inline-formula id="inf13">
<mml:math id="m13">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3b7;</mml:mi>
<mml:mi>p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="3" align="center">Gait speed [m/s]</td>
<td align="center">6&#xb0;</td>
<td align="center">2.34 (0.34)</td>
<td align="center">2.23 (0.22)</td>
<td align="center">2.22 (0.25)</td>
<td rowspan="3" align="left">.39</td>
<td rowspan="3" align="left">.81</td>
<td rowspan="3" align="center">.21</td>
<td rowspan="3" align="center">22.56</td>
<td rowspan="3" align="center">&#x3c;.01</td>
<td rowspan="3" align="center">.85</td>
<td rowspan="3" align="center">1.86</td>
<td rowspan="3" align="center">.19</td>
<td rowspan="3" align="center">.17</td>
<td rowspan="3" align="center">6&#xb0; &#x3e; 12&#xb0;, 6&#xb0; &#x3e; 20&#xb0;, 12&#xb0; &#x3e; 20&#xb0;</td>
</tr>
<tr>
<td align="center">12&#xb0;</td>
<td align="center">2.07 (0.3)</td>
<td align="center">1.99 (0.13)</td>
<td align="center">2.01 (0.16)</td>
</tr>
<tr>
<td align="center">20&#xb0;</td>
<td align="center">1.74 (0.14)</td>
<td align="center">1.75 (0.23)</td>
<td align="center">1.74 (0.22)</td>
</tr>
<tr>
<td rowspan="3" align="center">Stride length [cm]</td>
<td align="center">6&#xb0;</td>
<td align="center">140.07 (14.99)</td>
<td align="center">135.73 (11.28)</td>
<td align="center">134.95 (12.86)</td>
<td rowspan="3" align="left">.51</td>
<td rowspan="3" align="center">.74</td>
<td rowspan="3" align="center">.25</td>
<td rowspan="3" align="center">13.07</td>
<td rowspan="3" align="center">&#x3c;.01</td>
<td rowspan="3" align="center">.72</td>
<td rowspan="3" align="center">1.70</td>
<td rowspan="3" align="center">.14</td>
<td rowspan="3" align="center">.20</td>
<td rowspan="3" align="center">6&#xb0; &#x3e; 12&#xb0;, 6&#xb0; &#x3e; 20&#xb0;, 12&#xb0; &#x3e; 20&#xb0;</td>
</tr>
<tr>
<td align="center">12&#xb0;</td>
<td align="center">130.17 (13.91)</td>
<td align="center">126.47 (5.87)</td>
<td align="center">126.85 (7.96)</td>
</tr>
<tr>
<td align="center">20&#xb0;</td>
<td align="center">117.87 (8.26)</td>
<td align="center">117.96 (10.16)</td>
<td align="center">118.91 (9.84)</td>
</tr>
<tr>
<td rowspan="3" align="center">Stance duration [%]</td>
<td align="center">6&#xb0;</td>
<td align="center">63.01 (2.64)</td>
<td align="center">63.57 (1.92)</td>
<td align="center">63.34 (1.67)</td>
<td rowspan="3" align="left">.19</td>
<td rowspan="3" align="center">.33</td>
<td rowspan="3" align="center">.12</td>
<td rowspan="3" align="center">30.96</td>
<td rowspan="3" align="center">&#x3c;.01</td>
<td rowspan="3" align="center">.78</td>
<td rowspan="3" align="center">1.13</td>
<td rowspan="3" align="center">.33</td>
<td rowspan="3" align="center">.11</td>
<td rowspan="3" align="center">6&#xb0; &#x3c; 12&#xb0;, 6&#xb0; &#x3c; 20&#xb0;, 12&#xb0; &#x3c; 20&#xb0;</td>
</tr>
<tr>
<td align="center">12&#xb0;</td>
<td align="center">64.32 (1.66)</td>
<td align="center">65.44 (1.08)</td>
<td align="center">65.51 (0.82)</td>
</tr>
<tr>
<td align="center">20&#xb0;</td>
<td align="center">67.14 (1.85)</td>
<td align="center">66.61 (1.47)</td>
<td align="center">67.23 (2.12)</td>
</tr>
<tr>
<td rowspan="3" align="center">Double stance duration [%]</td>
<td align="center">6&#xb0;</td>
<td align="center">13.54 (2.33)</td>
<td align="center">14.01 (2.1)</td>
<td align="center">13.57 (1.54)</td>
<td rowspan="3" align="left">2.37</td>
<td rowspan="3" align="center">.11</td>
<td rowspan="3" align="center">.21</td>
<td rowspan="3" align="center">14.03</td>
<td rowspan="3" align="center">&#x3c;.01</td>
<td rowspan="3" align="center">.61</td>
<td rowspan="3" align="center">.14</td>
<td rowspan="3" align="center">.79</td>
<td rowspan="3" align="center">.02</td>
<td rowspan="3" align="center">6&#xb0; &#x3c; 20&#xb0;, 12&#xb0; &#x3c; 20&#xb0;</td>
</tr>
<tr>
<td align="center">12&#xb0;</td>
<td align="center">13.84 (1.48)</td>
<td align="center">14.42 (1.3)</td>
<td align="center">14.59 (1.26)</td>
</tr>
<tr>
<td align="center">20&#xb0;</td>
<td align="center">17.26 (2.31)</td>
<td align="center">15.9 (1.72)</td>
<td align="center">16.01 (1.79)</td>
</tr>
<tr>
<td rowspan="3" align="center">Cadence [steps/s]</td>
<td align="center">6&#xb0;</td>
<td align="center">1.66 (0.11)</td>
<td align="center">1.64 (0.12)</td>
<td align="center">1.64 (0.09)</td>
<td rowspan="3" align="left">.39</td>
<td rowspan="3" align="center">.72</td>
<td rowspan="3" align="center">.04</td>
<td rowspan="3" align="center">18.97</td>
<td rowspan="3" align="center">&#x3c;.01</td>
<td rowspan="3" align="center">.83</td>
<td rowspan="3" align="center">.37</td>
<td rowspan="3" align="center">.65</td>
<td rowspan="3" align="center">.04</td>
<td rowspan="3" align="center">6&#xb0; &#x3e; 12&#xb0;, 6&#xb0; &#x3e; 20&#xb0;, 12&#xb0; &#x3e; 20&#xb0;</td>
</tr>
<tr>
<td align="center">12&#xb0;</td>
<td align="center">1.59 (0.12)</td>
<td align="center">1.58 (0.09)</td>
<td align="center">1.59 (0.09)</td>
</tr>
<tr>
<td align="center">20&#xb0;</td>
<td align="center">1.48 (0.09)</td>
<td align="center">1.48 (0.14)</td>
<td align="center">1.46 (0.12)</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-2">
<title>3.2 Inclination influences more kinematic parameters than HTD</title>
<p>No inclination &#x2715; HTD interaction effects were observed for kinematic parameters. A significant main effect of inclinations (<xref ref-type="fig" rid="F3">Figure 3</xref>) was observed for ankle dorsiflexion angle at HS (F &#x3d; 51.72, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf14">
<mml:math id="m14">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.93), ankle inversion angle at HS (F &#x3d; 21.24, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf15">
<mml:math id="m15">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.84), knee flexion angle at HS (F &#x3d; 417.39, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf16">
<mml:math id="m16">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.98), hip flexion angle at HS (F &#x3d; 241.58, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf17">
<mml:math id="m17">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.98), ankle sagittal RoM (F &#x3d; 18.93, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf18">
<mml:math id="m18">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.83), ankle frontal RoM (F &#x3d; 30.91, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf19">
<mml:math id="m19">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.77), knee sagittal RoM (F &#x3d; 5.68, <italic>p</italic> &#x3d; 0.015, <inline-formula id="inf20">
<mml:math id="m20">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.39), hip sagittal RoM (F &#x3d; 172.52, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf21">
<mml:math id="m21">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.97). There was no significant main effect observed for HTD in kinematics parameters (<xref ref-type="fig" rid="F3">Figure 3</xref>) except for ankle sagittal RoM (F &#x3d; 33.71, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf22">
<mml:math id="m22">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.89) and ankle frontal RoM (F &#x3d; 4.48, <italic>p</italic> &#x3d; 0.049, <inline-formula id="inf23">
<mml:math id="m23">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.53).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The average kinematic parameters (joint angle and characteristic values) during uphill walking with various inclinations and heel-to-toe drops (HS &#x3d; Heel Strike, RoM &#x3d; Range of Motion, I - inclination, H - HTD). &#x2a;, &#x23;, &#x26; indicate a significant difference (<italic>p</italic> &#x3c; 0.05).</p>
</caption>
<graphic xlink:href="fbioe-12-1385264-g003.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Both inclination and HTD modulate the kinetic parameters</title>
<p>No inclination &#x2715; HTD interaction effects were observed for kinetic parameters. A significant main effect of inclinations (<xref ref-type="fig" rid="F4">Figures 4</xref>&#x2013;<xref ref-type="fig" rid="F6">6</xref>) was observed for peak ankle plantarflexion moment (F &#x3d; 5.246, <italic>p</italic> &#x3d; 0.033, <inline-formula id="inf24">
<mml:math id="m24">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.37), ankle sagittal positive work (F &#x3d; 17.04, <italic>p</italic> &#x3d; 0.001, <inline-formula id="inf25">
<mml:math id="m25">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.81), peak knee extension moment (F &#x3d; 8.16, <italic>p</italic> &#x3d; 0.011, <inline-formula id="inf26">
<mml:math id="m26">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.49), peak knee abduction moment (F &#x3d; 18.38, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf27">
<mml:math id="m27">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.82), knee sagittal positive work (F &#x3d; 89.31, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf28">
<mml:math id="m28">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.91), peak hip extension moment (F &#x3d; 58.74, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf29">
<mml:math id="m29">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.94), peak hip abduction moment (F &#x3d; 7.76, <italic>p</italic> &#x3d; 0.014, <inline-formula id="inf30">
<mml:math id="m30">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.46), hip sagittal positive work (F &#x3d; 23.67, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf31">
<mml:math id="m31">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.86). There was no significant main effect observed for inclination in remaining kinetic parameters.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The average kinetic parameters (sagittal joint moment and peak value) during the stance phase of uphill walking with various inclinations and heel-to-toe drops (I - inclination, H - HTD). &#x2a;, &#x23;, &#x26; indicate a significant difference (<italic>p</italic> &#x3c; 0.05).</p>
</caption>
<graphic xlink:href="fbioe-12-1385264-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>The average kinetic parameters (frontal joint moment and peak value) during the stance phase of uphill walking with various inclinations and heel-to-toe drops (I - inclination, H - HTD). &#x2a;, &#x23;, &#x26; indicate a significant difference (<italic>p</italic> &#x3c; 0.05).</p>
</caption>
<graphic xlink:href="fbioe-12-1385264-g005.tif"/>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>The average kinetic parameters (sagittal joint power and work) during the stance phase of uphill walking with various inclinations and heel-to-toe drops (I - inclination, H - HTD). &#x2a;, &#x23;, &#x26; indicate a significant difference (<italic>p</italic> &#x3c; 0.05).</p>
</caption>
<graphic xlink:href="fbioe-12-1385264-g006.tif"/>
</fig>
<p>A significant main effect of HTD levels (<xref ref-type="fig" rid="F5">Figures 5</xref>, <xref ref-type="fig" rid="F6">6</xref>) was observed for peak ankle eversion moment (F &#x3d; 8.18, <italic>p</italic> &#x3d; 0.012, <inline-formula id="inf32">
<mml:math id="m32">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.58), ankle sagittal positive work (F &#x3d; 18.92, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf33">
<mml:math id="m33">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.68), peak knee extension moment (F &#x3d; 22.56, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf34">
<mml:math id="m34">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.71), peak knee abduction moment (F &#x3d; 4.3, <italic>p</italic> &#x3d; 0.03, <inline-formula id="inf35">
<mml:math id="m35">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.28), knee sagittal positive work (F &#x3d; 16.42, <italic>p</italic> &#x3d; 0.001, <inline-formula id="inf36">
<mml:math id="m36">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.65), hip sagittal positive work (F &#x3d; 4.45, <italic>p</italic> &#x3d; 0.033, <inline-formula id="inf37">
<mml:math id="m37">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.33). There was no significant main effect observed for HTD in remaining kinetic parameters.</p>
</sec>
<sec id="s3-4">
<title>3.4 Both inclination and HTD influence the muscle synergy parameters</title>
<p>No inclination &#x2715; HTD interaction effects were observed for muscle synergy parameters. There was no significant difference in the number of synergies across all inclination and HTD levels (<xref ref-type="fig" rid="F7">Figure 7</xref>). Each synergy was associated with a different gait phase (weight acceptance, propulsion and swing) and ordered according to the CoA of each motor primitive (<xref ref-type="table" rid="T2">Table 2</xref>). A significant main effect of inclination levels (<xref ref-type="table" rid="T2">Table 2</xref>) was observed for CoA of weight acceptance (F &#x3d; 16.1, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf38">
<mml:math id="m38">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.14), Swing (F &#x3d; 3.48, <italic>p</italic> &#x3d; 0.035, <inline-formula id="inf39">
<mml:math id="m39">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.08) and FWHM in weight acceptance (F &#x3d; 9.36, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf40">
<mml:math id="m40">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.09), Swing (F &#x3d; 3.885, <italic>p</italic> &#x3d; 0.024, <inline-formula id="inf41">
<mml:math id="m41">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.09). There was no significant main effect observed for inclination in propulsion. A significant main effect of HTD level s (<xref ref-type="table" rid="T2">Table 2</xref>) was observed for CoA in propulsion (F &#x3d; 6.32, <italic>p</italic> &#x3d; 0.002, <inline-formula id="inf42">
<mml:math id="m42">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.06). There was no significant main effect observed for HTD in weight acceptance and Swing.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>The motor modules and motor primitives during uphill walking with various inclinations and heel-to-toe drops (I - inclination, H - HTD). &#x2a; indicates statistically significant differences (<italic>p</italic> &#x3c; 0.05) among outcomes for varying inclines. &#x23; indicates statistically significant differences (<italic>p</italic> &#x3c; 0.05) among outcomes for varying HTD.</p>
</caption>
<graphic xlink:href="fbioe-12-1385264-g007.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Mean (SD) CoA and FWHM of the motor primitives on three inclinations with three HTD-levels.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="3" align="center">Variable</th>
<th colspan="4" align="left"/>
<th colspan="10" align="center">ANOVA results</th>
</tr>
<tr>
<th colspan="4" align="center">HTD</th>
<th colspan="3" align="center">Interaction</th>
<th colspan="3" align="center">Inclination</th>
<th colspan="3" align="center">HTD</th>
<th rowspan="2" align="center">Post-hoc</th>
</tr>
<tr>
<th align="center">Inclination</th>
<th align="center">10&#xa0;mm</th>
<th align="center">25&#xa0;mm</th>
<th align="center">40&#xa0;mm</th>
<th align="center">
<italic>F</italic>
</th>
<th align="center">
<italic>p</italic>
</th>
<th align="center">
<inline-formula id="inf43">
<mml:math id="m43">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3b7;</mml:mi>
<mml:mi>p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<italic>F</italic>
</th>
<th align="center">
<italic>p</italic>
</th>
<th align="center">
<inline-formula id="inf44">
<mml:math id="m44">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3b7;</mml:mi>
<mml:mi>p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<italic>F</italic>
</th>
<th align="center">
<italic>p</italic>
</th>
<th align="center">
<inline-formula id="inf45">
<mml:math id="m45">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3b7;</mml:mi>
<mml:mi>p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="15" align="center">CoA [%]</td>
</tr>
<tr>
<td rowspan="3" align="center">Weight acceptance</td>
<td align="center">6&#xb0;</td>
<td align="center">13.85 (4.46)</td>
<td align="center">12.02 (4.18)</td>
<td align="center">13.01 (3.29)</td>
<td rowspan="3" align="center">2.22</td>
<td rowspan="3" align="center">.07</td>
<td rowspan="3" align="center">.04</td>
<td rowspan="3" align="center">16.1</td>
<td rowspan="3" align="center">&#x3c;.01</td>
<td rowspan="3" align="center">.14</td>
<td rowspan="3" align="center">1.60</td>
<td rowspan="3" align="center">.2</td>
<td rowspan="3" align="center">.02</td>
<td rowspan="3" align="center">6&#xb0; &#x3c; 12&#xb0;, 6&#xb0; &#x3c; 20&#xb0;</td>
</tr>
<tr>
<td align="center">12&#xb0;</td>
<td align="center">14.39 (4.63)</td>
<td align="center">16.86 (2.98)</td>
<td align="center">16.65 (3.45)</td>
</tr>
<tr>
<td align="center">20&#xb0;</td>
<td align="center">15.28 (3.8)</td>
<td align="center">16.4 (4.12)</td>
<td align="center">17.34 (3.1)</td>
</tr>
<tr>
<td rowspan="3" align="center">Propulsion</td>
<td align="center">6&#xb0;</td>
<td align="center">37.12 (2.7)</td>
<td align="center">38.3 (2.96)</td>
<td align="center">38.7 (3.87)</td>
<td rowspan="3" align="center">.13</td>
<td rowspan="3" align="center">.97</td>
<td rowspan="3" align="center">&#x3c;.01</td>
<td rowspan="3" align="center">.77</td>
<td rowspan="3" align="center">.46</td>
<td rowspan="3" align="center">.01</td>
<td rowspan="3" align="center">6.32</td>
<td rowspan="3" align="center">
<bold>&#x3c;.01</bold>
</td>
<td rowspan="3" align="center">.06</td>
<td rowspan="3" align="center">10&#xa0;mm &#x3c; 25mm, 10&#xa0;mm &#x3c; 40&#xa0;mm</td>
</tr>
<tr>
<td align="center">12&#xb0;</td>
<td align="center">37.22 (3)</td>
<td align="center">39.23 (2.68)</td>
<td align="center">38.97 (2.45)</td>
</tr>
<tr>
<td align="center">20&#xb0;</td>
<td align="center">37.67 (3.48)</td>
<td align="center">39.18 (3.53)</td>
<td align="center">39.14 (2.64)</td>
</tr>
<tr>
<td rowspan="3" align="center">Swing</td>
<td align="center">6&#xb0;</td>
<td align="center">91.59 (6.43)</td>
<td align="center">94.46 (5.3)</td>
<td align="center">86.02 (16.34)</td>
<td rowspan="3" align="center">1.87</td>
<td rowspan="3" align="center">.12</td>
<td rowspan="3" align="center">.08</td>
<td rowspan="3" align="center">3.48</td>
<td rowspan="3" align="center">.04</td>
<td rowspan="3" align="center">.08</td>
<td rowspan="3" align="center">.43</td>
<td rowspan="3" align="center">.65</td>
<td rowspan="3" align="center">.01</td>
<td rowspan="3" align="center">6&#xb0; &#x3e; 20&#xb0;, 12&#xb0; &#x3e; 20&#xb0;</td>
</tr>
<tr>
<td align="center">12&#xb0;</td>
<td align="center">87.32 (6.95)</td>
<td align="center">92.87 (4.9)</td>
<td align="center">93.52 (5.51)</td>
</tr>
<tr>
<td align="center">20&#xb0;</td>
<td align="center">85.55 (8.28)</td>
<td align="center">82.79 (10.71)</td>
<td align="center">88.96 (8.33)</td>
</tr>
<tr>
<td colspan="15" align="center">FWHM</td>
</tr>
<tr>
<td rowspan="3" align="center">Weight acceptance</td>
<td align="center">6&#xb0;</td>
<td align="center">10.53 (4.02)</td>
<td align="center">10.43 (4.25)</td>
<td align="center">9.37 (3.07)</td>
<td rowspan="3" align="center">.43</td>
<td rowspan="3" align="center">.79</td>
<td rowspan="3" align="center">.01</td>
<td rowspan="3" align="center">9.36</td>
<td rowspan="3" align="center">&#x3c;.01</td>
<td rowspan="3" align="center">.09</td>
<td rowspan="3" align="center">9.36</td>
<td rowspan="3" align="center">.38</td>
<td rowspan="3" align="center">.01</td>
<td rowspan="3" align="center">6&#xb0; &#x3c; 12&#xb0;, 6&#xb0; &#x3c; 20&#xb0;</td>
</tr>
<tr>
<td align="center">12&#xb0;</td>
<td align="center">13.23 (3.98)</td>
<td align="center">13.78 (4.24)</td>
<td align="center">12.8 (4.55)</td>
</tr>
<tr>
<td align="center">20&#xb0;</td>
<td align="center">13.66 (5.38)</td>
<td align="center">11.87 (6.01)</td>
<td align="center">12.06 (4.39)</td>
</tr>
<tr>
<td rowspan="3" align="center">Propulsion</td>
<td align="center">6&#xb0;</td>
<td align="center">9.22 (4.08)</td>
<td align="center">9 (3.61)</td>
<td align="center">10.1 (3.67)</td>
<td rowspan="3" align="center">1.15</td>
<td rowspan="3" align="center">.33</td>
<td rowspan="3" align="center">.02</td>
<td rowspan="3" align="center">1.49</td>
<td rowspan="3" align="center">.23</td>
<td rowspan="3" align="center">.01</td>
<td rowspan="3" align="center">2.54</td>
<td rowspan="3" align="center">.08</td>
<td rowspan="3" align="center">.02</td>
<td rowspan="3" align="left"/>
</tr>
<tr>
<td align="center">12&#xb0;</td>
<td align="center">10.9 (3.73)</td>
<td align="center">8.74 (3.04)</td>
<td align="center">9.02 (3.23)</td>
</tr>
<tr>
<td align="center">20&#xb0;</td>
<td align="center">9.58 (2.8)</td>
<td align="center">8.12 (3.11)</td>
<td align="center">8.23 (3.19)</td>
</tr>
<tr>
<td rowspan="3" align="center">Swing</td>
<td align="center">6&#xb0;</td>
<td align="center">15.11 (8.48)</td>
<td align="center">16.58 (5.86)</td>
<td align="center">17.08 (5.5)</td>
<td rowspan="3" align="center">.22</td>
<td rowspan="3" align="center">.93</td>
<td rowspan="3" align="center">.01</td>
<td rowspan="3" align="center">3.89</td>
<td rowspan="3" align="center">.02</td>
<td rowspan="3" align="center">.09</td>
<td rowspan="3" align="center">.05</td>
<td rowspan="3" align="center">.96</td>
<td rowspan="3" align="center">&#x3c;.01</td>
<td rowspan="3" align="center">12&#xb0; &#x3c; 20&#xb0;</td>
</tr>
<tr>
<td align="center">12&#xb0;</td>
<td align="center">15.13 (8.28)</td>
<td align="center">13.32 (8.44)</td>
<td align="center">13.18 (1.76)</td>
</tr>
<tr>
<td align="center">20&#xb0;</td>
<td align="center">19.43 (8.99)</td>
<td align="center">21.62 (8.61)</td>
<td align="center">21.18 (10.42)</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>During the weight acceptance phase, a significant main effect of inclination levels (<xref ref-type="fig" rid="F7">Figure 7</xref>) was observed for VM (F &#x3d; 8.12, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf46">
<mml:math id="m46">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.08), TA (F &#x3d; 10.72, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf47">
<mml:math id="m47">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.1). There was no significant main effect observed for inclination in remaining muscles. A significant main effect of HTD levels (<xref ref-type="fig" rid="F7">Figure 7</xref>) was observed for RF (F &#x3d; 3.95, <italic>p</italic> &#x3d; 0.021, <inline-formula id="inf48">
<mml:math id="m48">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.04), VM (F &#x3d; 6.28, <italic>p</italic> &#x3d; 0.002, <inline-formula id="inf49">
<mml:math id="m49">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.06), ST (F &#x3d; 13.13, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf50">
<mml:math id="m50">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.12). There was no significant main effect observed for HTD in remaining muscles.</p>
<p>During the propulsion phase, a significant main effect of inclination levels (<xref ref-type="fig" rid="F7">Figure 7</xref>) was observed for RF (F &#x3d; 26.63, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf51">
<mml:math id="m51">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.21), VM (F &#x3d; 4.61, <italic>p</italic> &#x3d; 0.011, <inline-formula id="inf52">
<mml:math id="m52">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.04), VL (F &#x3d; 4.06, <italic>p</italic> &#x3d; 0.019, <inline-formula id="inf53">
<mml:math id="m53">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.04), BF (F &#x3d; 6.76, <italic>p</italic> &#x3d; 0.001, <inline-formula id="inf54">
<mml:math id="m54">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.06), GM (F &#x3d; 4.372, <italic>p</italic> &#x3d; 0.014, <inline-formula id="inf55">
<mml:math id="m55">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.04). There was no significant main effect observed for inclination in remaining muscles. A significant main effect of HTD levels (<xref ref-type="fig" rid="F7">Figure 7</xref>) was observed for ST (F &#x3d; 5.23, <italic>p</italic> &#x3d; 0.006, <inline-formula id="inf56">
<mml:math id="m56">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.05), GM (F &#x3d; 4.38, <italic>p</italic> &#x3d; 0.014, <inline-formula id="inf57">
<mml:math id="m57">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.04). There was no significant main effect observed for HTD in remaining muscles.</p>
<p>During the swing phase, a significant main effect of inclination levels (<xref ref-type="fig" rid="F7">Figure 7</xref>) was observed for VM (F &#x3d; 6.2, <italic>p</italic> &#x3d; 0.003, <inline-formula id="inf58">
<mml:math id="m58">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.08), BF (F &#x3d; 17.28, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf59">
<mml:math id="m59">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.19), ST (F &#x3d; 25.35, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf60">
<mml:math id="m60">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.26), TA (F &#x3d; 53.79, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf61">
<mml:math id="m61">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.42). There was no significant main effect observed for inclination in remaining muscles. A significant main effect of HTD levels (<xref ref-type="fig" rid="F7">Figure 7</xref>) was observed for ST (F &#x3d; 10.26, <italic>p</italic> &#x3c; 0.001, <inline-formula id="inf62">
<mml:math id="m62">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.12), TA (F &#x3d; 7.2, <italic>p</italic> &#x3d; 0.001, <inline-formula id="inf63">
<mml:math id="m63">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.09). There was no significant main effect observed for HTD in remaining muscles.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>This study investigates the impact of HTD on biomechanical and neuromuscular responses during uphill walking at various inclinations. The existing literature extensively explores the impact of HTD on level walking (<xref ref-type="bibr" rid="B57">Stefanyshyn et al., 2000</xref>; <xref ref-type="bibr" rid="B12">Cowley et al., 2009</xref>; <xref ref-type="bibr" rid="B4">Barkema et al., 2012</xref>; <xref ref-type="bibr" rid="B13">Cronin, 2014</xref>). Our study, however, extends this inquiry to the effects of HTD across different slope inclinations, which is an issue less comprehensively investigated. Furthermore, previous research identifies a significant shift in gait parameters beginning at a 6&#xb0;&#x2013;9&#xb0; incline (<xref ref-type="bibr" rid="B46">Prentice et al., 2004</xref>; <xref ref-type="bibr" rid="B33">Lay et al., 2006</xref>), indicating that biomechanical adaptations to inclined walking distinctly diverge from those of level walking at this threshold. Consequently, we selected 6&#xb0; as the initial inclination for our study to examine how HTD influences the biomechanical properties of the human body under uphill conditions. Our findings reveal that adjusting HTD not only influences lower limb kinematics, kinetics, and muscle synergy parameters but also reduces biomechanical strain in uphill conditions. This underscores the practical implications of HTD adjustments in enhancing locomotion strategies during uphill walking.</p>
<p>An increase in inclinations during uphill walking demands more force and energy from the human body, making it a more challenging activity. Our study finds a decrease in gait speed and step length, and an increase in the stance and double support phases for enhanced stability (<xref ref-type="table" rid="T1">Table 1</xref>), coincides with other studies (<xref ref-type="bibr" rid="B29">Kimel-Naor et al., 2017</xref>; <xref ref-type="bibr" rid="B54">Sarvestan et al., 2021</xref>; <xref ref-type="bibr" rid="B58">Strutzenberger et al., 2022</xref>). Additionally, inclines lead to increased sagittal plane angles at the hip, knee, and ankle joints during uphill walking (<xref ref-type="fig" rid="F3">Figure 3</xref>), coincides with other studies (<xref ref-type="bibr" rid="B33">Lay et al., 2006</xref>; <xref ref-type="bibr" rid="B54">Sarvestan et al., 2021</xref>). This requires the joints to exert more force to support body weight and reduces the range of motion, thus increasing the burden on the joints and necessitating stronger muscle strength. Our study finds that HTD does not significantly impact temporo-spatial and kinematic parameters during uphill walking (<xref ref-type="table" rid="T1">Table 1</xref>), with the exception of the range of motion at the ankle joint (<xref ref-type="fig" rid="F3">Figure 3</xref>). Unlike on flat ground, where HTD can influence gait parameters and joint angles (<xref ref-type="bibr" rid="B39">Menant et al., 2009</xref>; <xref ref-type="bibr" rid="B40">Mika et al., 2012</xref>; <xref ref-type="bibr" rid="B13">Cronin, 2014</xref>), the body&#x2019;s focus during uphill walking shifts towards maintaining balance and stability against the slope&#x2019;s increased challenge (<xref ref-type="bibr" rid="B24">Hong et al., 2015</xref>; <xref ref-type="bibr" rid="B1">Alexander and Schwameder, 2016</xref>), diminishing the significance of HTD variation on posture. Moreover, the range of HTD variation examined in this study may not have been sufficient to significantly affect these parameters, suggesting that during uphill walking, the biomechanical challenges posed by the slope might overshadow the effects of HTD adjustments.</p>
<p>Changes in the joint moment on the frontal plane of the ankle, knee, and hip joints can affect the distribution of load across muscles and joints during walking (<xref ref-type="bibr" rid="B4">Barkema et al., 2012</xref>; <xref ref-type="bibr" rid="B55">Simonsen et al., 2012</xref>; <xref ref-type="bibr" rid="B63">Wen et al., 2019</xref>). Higher HTD lessens ankle eversion and its moment on slopes (<xref ref-type="fig" rid="F5">Figure 5</xref>), potentially reducing ankle injury risk, especially in individuals prone to sprains. Interestingly, this finding is inconsistent with the results of studies conducted on level ground walking (<xref ref-type="bibr" rid="B4">Barkema et al., 2012</xref>). Increased HTD may shift gait from heel-strike to midfoot or forefoot strike during uphill walking (<xref ref-type="bibr" rid="B61">Vernillo et al., 2017</xref>), decreasing ankle eversion moments compared to level ground walking (<xref ref-type="bibr" rid="B71">Yu et al., 2022</xref>). A reduced knee abduction moment during uphill walking suggests less lateral knee stability is needed (<xref ref-type="bibr" rid="B63">Wen et al., 2019</xref>). However, a higher moment with increased HTD indicates greater stress on the knee&#x2019;s lateral structures, such as the meniscus and collateral ligaments (<xref ref-type="bibr" rid="B38">McWilliams et al., 2014</xref>).</p>
<p>In this study, as the inclination increased, there was an increase in positive work in the sagittal plane at the hip, knee, and ankle joints (<xref ref-type="fig" rid="F6">Figure 6</xref>), which coincides with the results of previous studies (<xref ref-type="bibr" rid="B2">Alexander et al., 2017</xref>; <xref ref-type="bibr" rid="B70">Yang et al., 2019</xref>), indicating that these joints need to generate more force and energy to overcome gravity and the incline during uphill walking. The most notable observation from the study is that an increase in HTD led to a reduction in positive work in the sagittal plane at the ankle and hip joints during uphill walking, concomitantly with an elevation in positive work at the knee joint. Increased HTD may limit ankle dorsiflexion and alter body posture, reducing positive work at the ankle and hip joints. Consequently, the knee joint may compensate with increased positive work to preserve gait efficiency.</p>
<p>Several studies have demonstrated that an increase in inclination appears to have minimal impact on most patterns of muscle synergy during walking (<xref ref-type="bibr" rid="B48">Rozumalski et al., 2017</xref>; <xref ref-type="bibr" rid="B15">Dewolf et al., 2020</xref>). We also found that HTD does not significantly affect the number of muscle synergy patterns during uphill walking (<xref ref-type="fig" rid="F7">Figure 7</xref>), which showed that the overall neuromuscular control strategies tend to remain consistent with varied inclinations and HTD during uphill walking. However, steeper inclination or increased HTD may lead to change in the activation level and duration of certain muscle, aligning with the changing demands of joint dynamics (<xref ref-type="bibr" rid="B49">Saito et al., 2018</xref>).</p>
<p>During the weight acceptance phase of uphill walking, an increase in inclination was associated with higher CoA and FWHM values (<xref ref-type="table" rid="T2">Table 2</xref>), suggesting later and more prolonged muscle activation. This shift in muscle activation towards propulsion and prolonged engagement for uphill stability may stem from the increased force and stability requirements of lower limb muscles to counteract gravity and facilitate ascent (<xref ref-type="bibr" rid="B1">Alexander and Schwameder, 2016</xref>). At the same time, the increased HTD heightens the activation of the vastus medialis during uphill walking, while the activation of the semitendinosus is diminished (<xref ref-type="fig" rid="F7">Figure 7</xref>). This finding is consistent with studies conducted on level ground walking (<xref ref-type="bibr" rid="B55">Simonsen et al., 2012</xref>). This result may be explained by the fact that increased activation of the vastus medialis helps to stabilize the pelvis and knee joint, as well as to absorb shock. The reduced activation of the semitendinosus may be attributable to changes in the foot strike pattern (decreased ankle plantarflexion) and the reduced degree of knee flexion caused by the incline.</p>
<p>During the propulsion phase, as the inclination increases, there is an augmented activation of the rectus femoris, vastus medialis, vastus lateralis, and biceps femoris (<xref ref-type="fig" rid="F7">Figure 7</xref>). This finding is consistent with previous research (<xref ref-type="bibr" rid="B20">Franz and Kram, 2012</xref>). Uphill walking increases the demand on the quadriceps for knee stabilization and propulsion due to the added gravitational force (<xref ref-type="bibr" rid="B72">Zai and Grabowski, 2020</xref>). The rectus femoris and biceps femoris are particularly important for generating the required vertical propulsive forces through knee extension (<xref ref-type="bibr" rid="B21">Haggerty et al., 2014</xref>). Additionally, the vastus medialis and lateralis contribute to knee stability, preventing deviations and promoting efficient, safe gait (<xref ref-type="bibr" rid="B63">Wen et al., 2019</xref>). An increase in HTD results in a higher CoA (<xref ref-type="table" rid="T2">Table 2</xref>), suggesting that an augmented HTD may influence the mechanical state of the foot and the activation patterns of the musculature. To uphill walk effectively, the musculature of the lower limbs must work in a more coordinated fashion to generate enough propulsive force.</p>
<p>During the swing phase, as the inclination increases, there is an elevation in the activation level of the tibialis anterior muscle (<xref ref-type="fig" rid="F7">Figure 7</xref>). A possible explanation for this might be that the ankle joint may require a greater degree of dorsiflexion during the swing phase to prepare for the subsequent foot strike (<xref ref-type="bibr" rid="B54">Sarvestan et al., 2021</xref>). The increase in inclination also results in a reduced CoA, accompanied by an increase in the FWHM (<xref ref-type="table" rid="T2">Table 2</xref>). Ascending inclines may require earlier and prolonged muscle activation to meet the demands of limb clearance and forward propulsion in uphill walking.</p>
<p>It should be acknowledged that the results of this study, only derived from young and healthy male participants, may not be generalized to other populations with varying ages, genders, or health conditions. Furthermore, the analysis of muscle synergies was limited lower limb muscles, which are recognized as primary contributors during uphill walking (<xref ref-type="bibr" rid="B45">Pickle et al., 2016</xref>). However, it is important to acknowledge that the muscles of the trunk, which were not included in our analysis, may also play a compensatory role during uphill walking (<xref ref-type="bibr" rid="B36">Li et al., 2022</xref>; <xref ref-type="bibr" rid="B69">Yamato et al., 2023</xref>). This highlights a potential area for future research to explore the role of muscle compensation in different populations and under various walking conditions.</p>
<p>Adjusting the HTD through various insoles or shoes with adjustable features is crucial for enhancing biomechanical and neuromuscular performance, especially in slope walking. This adjustment can prevent falls and improve muscle training. In practical applications, specialized footwear with adjustable HTD is tailored for different terrains, such as shoes with higher drops that offer additional cushioning and support during uphill movements, helping to prevent overuse injuries and enhance stability. This research area promises significant potential for future studies, focusing on developing footwear that can adapt to diverse environmental conditions to maximize safety and physical performance.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>This study demonstrates that an increase in the inclination leads to changes in biomechanical and neuromuscular responses during uphill walking and the adjustment of HTD can modulate these responses during uphill walking. However, the present study suggests that an increased HTD may lead to elevated loads on the knee joint and these adverse effects need more attention.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary material, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s7">
<title>Ethics statement</title>
<p>The studies involving humans were approved by the ethics committee of Capital University of Physical Education and Sports (approval number: 2022A64). 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.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>LJ: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Writing&#x2013;original draft, Writing&#x2013;review and editing. FQ: Methodology, Supervision, Writing&#x2013;review and editing. ZY: Conceptualization, Methodology, Writing&#x2013;review and editing. XC: Data curation, Methodology, Validation, Writing&#x2013;review and editing. XG: Methodology, Validation, Writing&#x2013;review and editing. QS: Conceptualization, Methodology, Project administration, Supervision, Writing&#x2013;review and editing. BH: Conceptualization, Formal Analysis, Methodology, Project administration, Supervision, Writing&#x2013;original draft, Writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This work was supported by the National Key Research and Development Program of China under Grant [2018YFF0300800 (BH)]</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>The authors declare that the research 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="disclaimer" id="s11">
<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>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Alexander</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Schwameder</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Lower limb joint forces during walking on the level and slopes at different inclinations</article-title>. <source>Gait Posture</source> <volume>45</volume>, <fpage>137</fpage>&#x2013;<lpage>142</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2016.01.022</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Alexander</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Strutzenberger</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Ameshofer</surname>
<given-names>L. M.</given-names>
</name>
<name>
<surname>Schwameder</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Lower limb joint work and joint work contribution during downhill and uphill walking at different inclinations</article-title>. <source>J. Biomech.</source> <volume>61</volume>, <fpage>75</fpage>&#x2013;<lpage>80</lpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2017.07.001</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Annoni</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Mapelli</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Sidequersky</surname>
<given-names>F. V.</given-names>
</name>
<name>
<surname>Zago</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Sforza</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>The effect of high-heeled shoes on overground gait kinematics in young healthy women</article-title>. <source>Sport Sci. Hlth</source> <volume>10</volume> (<issue>2</issue>), <fpage>149</fpage>&#x2013;<lpage>157</lpage>. <pub-id pub-id-type="doi">10.1007/s11332-014-0191-z</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Barkema</surname>
<given-names>D. D.</given-names>
</name>
<name>
<surname>Derrick</surname>
<given-names>T. R.</given-names>
</name>
<name>
<surname>Martin</surname>
<given-names>P. E.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Heel height affects lower extremity frontal plane joint moments during walking</article-title>. <source>Gait Posture</source> <volume>35</volume> (<issue>3</issue>), <fpage>483</fpage>&#x2013;<lpage>488</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2011.11.013</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Barnish</surname>
<given-names>M. S.</given-names>
</name>
<name>
<surname>Barnish</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>High-heeled shoes and musculoskeletal injuries: a narrative systematic review</article-title>. <source>Bmj Open</source> <volume>6</volume> (<issue>1</issue>), <fpage>e010053</fpage>. <pub-id pub-id-type="doi">10.1136/bmjopen-2015-010053</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bianchi</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Angelini</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Orani</surname>
<given-names>G. P.</given-names>
</name>
<name>
<surname>Lacquaniti</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>1998</year>). <article-title>Kinematic coordination in human gait: relation to mechanical energy cost</article-title>. <source>J. Neurophysiol.</source> <volume>79</volume> (<issue>4</issue>), <fpage>2155</fpage>&#x2013;<lpage>2170</lpage>. <pub-id pub-id-type="doi">10.1152/jn.1998.79.4.2155</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bizzi</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Cheung</surname>
<given-names>V.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>The neural origin of muscle synergies</article-title>. <source>Front. Comput. Neurosc</source> <volume>7</volume>, <fpage>51</fpage>. <pub-id pub-id-type="doi">10.3389/fncom.2013.00051</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cappellini</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Ivanenko</surname>
<given-names>Y. P.</given-names>
</name>
<name>
<surname>Martino</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>MacLellan</surname>
<given-names>M. J.</given-names>
</name>
<name>
<surname>Sacco</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Morelli</surname>
<given-names>D.</given-names>
</name>
<etal/>
</person-group> (<year>2016</year>). <article-title>Immature spinal locomotor output in children with cerebral palsy</article-title>. <source>Front. Physiol.</source> <volume>7</volume>, <fpage>478</fpage>. <pub-id pub-id-type="doi">10.3389/fphys.2016.00478</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cappellini</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Ivanenko</surname>
<given-names>Y. P.</given-names>
</name>
<name>
<surname>Poppele</surname>
<given-names>R. E.</given-names>
</name>
<name>
<surname>Lacquaniti</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>Motor patterns in human walking and running</article-title>. <source>J. Neurophysiol.</source> <volume>95</volume> (<issue>6</issue>), <fpage>3426</fpage>&#x2013;<lpage>3437</lpage>. <pub-id pub-id-type="doi">10.1152/jn.00081.2006</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cheung</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>D&#x27;Avella</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Tresch</surname>
<given-names>M. C.</given-names>
</name>
<name>
<surname>Bizzi</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Central and sensory contributions to the activation and organization of muscle synergies during natural motor behaviors</article-title>. <source>J. Neurosci.</source> <volume>25</volume> (<issue>27</issue>), <fpage>6419</fpage>&#x2013;<lpage>6434</lpage>. <pub-id pub-id-type="doi">10.1523/jneurosci.4904-04.2005</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Clark</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Ting</surname>
<given-names>L. H.</given-names>
</name>
<name>
<surname>Zajac</surname>
<given-names>F. E.</given-names>
</name>
<name>
<surname>Neptune</surname>
<given-names>R. R.</given-names>
</name>
<name>
<surname>Kautz</surname>
<given-names>S. A.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Merging of healthy motor modules predicts reduced locomotor performance and muscle coordination complexity post-stroke</article-title>. <source>J. Neurophysiol.</source> <volume>103</volume> (<issue>2</issue>), <fpage>844</fpage>&#x2013;<lpage>857</lpage>. <pub-id pub-id-type="doi">10.1152/jn.00825.2009</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cowley</surname>
<given-names>E. E.</given-names>
</name>
<name>
<surname>Chevalier</surname>
<given-names>T. L.</given-names>
</name>
<name>
<surname>Chockalingam</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>The effect of heel height on gait and posture: a review of the literature</article-title>. <source>J. Am. Podiat. Med. Assn</source> <volume>99</volume> (<issue>6</issue>), <fpage>512</fpage>&#x2013;<lpage>518</lpage>. <pub-id pub-id-type="doi">10.7547/0990512</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cronin</surname>
<given-names>N. J.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>The effects of high heeled shoes on female gait: a review</article-title>. <source>J. Electromyogr. Kines.</source> <volume>24</volume> (<issue>2</issue>), <fpage>258</fpage>&#x2013;<lpage>263</lpage>. <pub-id pub-id-type="doi">10.1016/j.jelekin.2014.01.004</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Devarajan</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Cheung</surname>
<given-names>V.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>On nonnegative matrix factorization algorithms for signal-dependent noise with application to electromyography data</article-title>. <source>Neural comput.</source> <volume>26</volume> (<issue>6</issue>), <fpage>1128</fpage>&#x2013;<lpage>1168</lpage>. <pub-id pub-id-type="doi">10.1162/neco_a_00576</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dewolf</surname>
<given-names>A. H.</given-names>
</name>
<name>
<surname>Mesquita</surname>
<given-names>R. M.</given-names>
</name>
<name>
<surname>Willems</surname>
<given-names>P. A.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Intra-limb and muscular coordination during walking on slopes</article-title>. <source>Eur. J. Appl. Physiol.</source> <volume>120</volume> (<issue>8</issue>), <fpage>1841</fpage>&#x2013;<lpage>1854</lpage>. <pub-id pub-id-type="doi">10.1007/s00421-020-04415-4</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Di Sipio</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Piccinini</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Pecchioli</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Germanotta</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Iacovelli</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Simbolotti</surname>
<given-names>C.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>Walking variations in healthy women wearing high-heeled shoes: shoe size and heel height effects</article-title>. <source>Gait Posture</source> <volume>63</volume>, <fpage>195</fpage>&#x2013;<lpage>201</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2018.04.048</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Earhart</surname>
<given-names>G. M.</given-names>
</name>
<name>
<surname>Bastian</surname>
<given-names>A. J.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>Form switching during human locomotion: traversing wedges in a single step</article-title>. <source>J. Neurophysiol.</source> <volume>84</volume> (<issue>2</issue>), <fpage>605</fpage>&#x2013;<lpage>615</lpage>. <pub-id pub-id-type="doi">10.1152/jn.2000.84.2.605</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Eng</surname>
<given-names>J. J.</given-names>
</name>
<name>
<surname>Winter</surname>
<given-names>D. A.</given-names>
</name>
</person-group> (<year>1995</year>). <article-title>Kinetic analysis of the lower limbs during walking: what information can be gained from a three-dimensional model?</article-title> <source>J. Biomech.</source> <volume>28</volume> (<issue>6</issue>), <fpage>753</fpage>&#x2013;<lpage>758</lpage>. <pub-id pub-id-type="doi">10.1016/0021-9290(94)00124-m</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Esmaeili</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Karami</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Baniasad</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Shojaeefard</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Farahmand</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>The association between motor modules and movement primitives of gait: a muscle and kinematic synergy study</article-title>. <source>J. Biomech.</source> <volume>134</volume>, <fpage>110997</fpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2022.110997</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Franz</surname>
<given-names>J. R.</given-names>
</name>
<name>
<surname>Kram</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>The effects of grade and speed on leg muscle activations during walking</article-title>. <source>Gait Posture</source> <volume>35</volume> (<issue>1</issue>), <fpage>143</fpage>&#x2013;<lpage>147</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2011.08.025</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Haggerty</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Dickin</surname>
<given-names>D. C.</given-names>
</name>
<name>
<surname>Popp</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>The influence of incline walking on joint mechanics</article-title>. <source>Gait Posture</source> <volume>39</volume> (<issue>4</issue>), <fpage>1017</fpage>&#x2013;<lpage>1021</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2013.12.027</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Heggie</surname>
<given-names>T. W.</given-names>
</name>
<name>
<surname>Heggie</surname>
<given-names>T. M.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Viewing lava safely: an epidemiology of hiker injury and illness in Hawaii volcanoes national park</article-title>. <source>Environ. Med.</source> <volume>15</volume> (<issue>2</issue>), <fpage>77</fpage>&#x2013;<lpage>81</lpage>. <pub-id pub-id-type="doi">10.1580/1080-6032(2004)015[0077:vlsaeo]2.0.co;2</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hermens</surname>
<given-names>H. J.</given-names>
</name>
<name>
<surname>Freriks</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Disselhorst-Klug</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Rau</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>Development of recommendations for SEMG sensors and sensor placement procedures</article-title>. <source>J. Electromyogr. Kines.</source> <volume>10</volume> (<issue>5</issue>), <fpage>361</fpage>&#x2013;<lpage>374</lpage>. <pub-id pub-id-type="doi">10.1016/s1050-6411(00)00027-4</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hong</surname>
<given-names>S. W.</given-names>
</name>
<name>
<surname>Leu</surname>
<given-names>T. H.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>T. M.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>J. D.</given-names>
</name>
<name>
<surname>Ho</surname>
<given-names>W. P.</given-names>
</name>
<name>
<surname>Lu</surname>
<given-names>T. W.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Control of body&#x27;s center of mass motion relative to center of pressure during uphill walking in the elderly</article-title>. <source>Gait Posture</source> <volume>42</volume> (<issue>4</issue>), <fpage>523</fpage>&#x2013;<lpage>528</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2015.08.007</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ivanenko</surname>
<given-names>Y. P.</given-names>
</name>
<name>
<surname>Poppele</surname>
<given-names>R. E.</given-names>
</name>
<name>
<surname>Lacquaniti</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>Motor control programs and walking</article-title>. <source>Neuroscientist</source> <volume>12</volume> (<issue>4</issue>), <fpage>339</fpage>&#x2013;<lpage>348</lpage>. <pub-id pub-id-type="doi">10.1177/1073858406287987</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Janshen</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Santuz</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Ekizos</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Arampatzis</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Modular control during incline and level walking in humans</article-title>. <source>J. Exp. Biol.</source> <volume>220</volume> (<issue>5</issue>), <fpage>807</fpage>&#x2013;<lpage>813</lpage>. <pub-id pub-id-type="doi">10.1242/jeb.148957</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Johnson</surname>
<given-names>R. M.</given-names>
</name>
<name>
<surname>Huettl</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Kocsis</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Chan</surname>
<given-names>S. B.</given-names>
</name>
<name>
<surname>Kordick</surname>
<given-names>M. F.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Injuries sustained at Yellowstone National Park requiring emergency medical system activation</article-title>. <source>Wild. Environ. Med.</source> <volume>18</volume> (<issue>3</issue>), <fpage>186</fpage>&#x2013;<lpage>189</lpage>. <pub-id pub-id-type="doi">10.1580/06-weme-or-046r1.1</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kannus</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Parkkari</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Koskinen</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Niemi</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Palvanen</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>J&#xe4;rvinen</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>1999</year>). <article-title>Fall-induced injuries and deaths among older adults</article-title>. <source>Jama-J. Am. Med. Assoc.</source> <volume>281</volume> (<issue>20</issue>), <fpage>1895</fpage>&#x2013;<lpage>1899</lpage>. <pub-id pub-id-type="doi">10.1001/jama.281.20.1895</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kimel-Naor</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Gottlieb</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Plotnik</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>The effect of uphill and downhill walking on gait parameters: a self-paced treadmill study</article-title>. <source>J. Biomech.</source> <volume>60</volume>, <fpage>142</fpage>&#x2013;<lpage>149</lpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2017.06.030</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Kumar</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Panda</surname>
<given-names>S. N.</given-names>
</name>
<name>
<surname>Kaushal</surname>
<given-names>R. K.</given-names>
</name>
</person-group> (<year>2020</year>) <source>High heel shoes with adjustable height of the heel</source>. <publisher-loc>Bristol, United Kingdom</publisher-loc>: <publisher-name>IOP Publishing</publisher-name>.<fpage>12120</fpage>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lacquaniti</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Ivanenko</surname>
<given-names>Y. P.</given-names>
</name>
<name>
<surname>Zago</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Development of human locomotion</article-title>. <source>Curr. Opin. Neurobiol.</source> <volume>22</volume> (<issue>5</issue>), <fpage>822</fpage>&#x2013;<lpage>828</lpage>. <pub-id pub-id-type="doi">10.1016/j.conb.2012.03.012</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lacquaniti</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Ivanenko</surname>
<given-names>Y. P.</given-names>
</name>
<name>
<surname>Zago</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Patterned control of human locomotion</article-title>. <source>J. Physiol.-London</source> <volume>590</volume> (<issue>10</issue>), <fpage>2189</fpage>&#x2013;<lpage>2199</lpage>. <pub-id pub-id-type="doi">10.1113/jphysiol.2011.215137</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lay</surname>
<given-names>A. N.</given-names>
</name>
<name>
<surname>Hass</surname>
<given-names>C. J.</given-names>
</name>
<name>
<surname>Gregor</surname>
<given-names>R. J.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>The effects of sloped surfaces on locomotion: a kinematic and kinetic analysis</article-title>. <source>J. Biomech.</source> <volume>39</volume> (<issue>9</issue>), <fpage>1621</fpage>&#x2013;<lpage>1628</lpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2005.05.005</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lay</surname>
<given-names>A. N.</given-names>
</name>
<name>
<surname>Hass</surname>
<given-names>C. J.</given-names>
</name>
<name>
<surname>Richard Nichols</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Gregor</surname>
<given-names>R. J.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>The effects of sloped surfaces on locomotion: an electromyographic analysis</article-title>. <source>J. Biomech.</source> <volume>40</volume> (<issue>6</issue>), <fpage>1276</fpage>&#x2013;<lpage>1285</lpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2006.05.023</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Leroux</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Fung</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Barbeau</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>Postural adaptation to walking on inclined surfaces: I. Normal strategies</article-title>. <source>Gait Posture</source> <volume>15</volume> (<issue>1</issue>), <fpage>64</fpage>&#x2013;<lpage>74</lpage>. <pub-id pub-id-type="doi">10.1016/s0966-6362(01)00181-3</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Ao</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Vega</surname>
<given-names>M. M.</given-names>
</name>
<name>
<surname>Shourijeh</surname>
<given-names>M. S.</given-names>
</name>
<name>
<surname>Zandiyeh</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Chang</surname>
<given-names>S. H.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>A computational method for estimating trunk muscle activations during gait using lower extremity muscle synergies</article-title>. <source>Front. Bioeng. Biotech.</source> <volume>10</volume>, <fpage>964359</fpage>. <pub-id pub-id-type="doi">10.3389/fbioe.2022.964359</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>Y. X.</given-names>
</name>
<name>
<surname>Gutierrez-Farewik</surname>
<given-names>E. M.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Joint kinematics, kinetics and muscle synergy patterns during transitions between locomotion modes</article-title>. <source>Ieee Trans. Bio.-Med Eng.</source> <volume>70</volume> (<issue>3</issue>), <fpage>1062</fpage>&#x2013;<lpage>1071</lpage>. <pub-id pub-id-type="doi">10.1109/tbme.2022.3208381</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>McWilliams</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Muthuri</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Muir</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Maciewicz</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Doherty</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Self-reported adult footwear and the risks of lower limb osteoarthritis: the GOAL case control study</article-title>. <source>Bmc Musculoskel. Dis.</source> <volume>15</volume>, <fpage>308</fpage>. <pub-id pub-id-type="doi">10.1186/1471-2474-15-308</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Menant</surname>
<given-names>J. C.</given-names>
</name>
<name>
<surname>Steele</surname>
<given-names>J. R.</given-names>
</name>
<name>
<surname>Menz</surname>
<given-names>H. B.</given-names>
</name>
<name>
<surname>Munro</surname>
<given-names>B. J.</given-names>
</name>
<name>
<surname>Lord</surname>
<given-names>S. R.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Effects of walking surfaces and footwear on temporo-spatial gait parameters in young and older people</article-title>. <source>Gait Posture</source> <volume>29</volume> (<issue>3</issue>), <fpage>392</fpage>&#x2013;<lpage>397</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2008.10.057</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mika</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Oleksy</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Mika</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Marchewka</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Clark</surname>
<given-names>B. C.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>The influence of heel height on lower extremity kinematics and leg muscle activity during gait in young and middle-aged women</article-title>. <source>Gait Posture</source> <volume>35</volume> (<issue>4</issue>), <fpage>677</fpage>&#x2013;<lpage>680</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2011.12.001</pub-id>
</citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Miller</surname>
<given-names>W. C.</given-names>
</name>
<name>
<surname>Speechley</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Deathe</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>The prevalence and risk factors of falling and fear of falling among lower extremity amputees</article-title>. <source>Arch. Phys. Med. Rehab.</source> <volume>82</volume> (<issue>8</issue>), <fpage>1031</fpage>&#x2013;<lpage>1037</lpage>. <pub-id pub-id-type="doi">10.1053/apmr.2001.24295</pub-id>
</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Minetti</surname>
<given-names>A. E.</given-names>
</name>
<name>
<surname>Moia</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Roi</surname>
<given-names>G. S.</given-names>
</name>
<name>
<surname>Susta</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Ferretti</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>Energy cost of walking and running at extreme uphill and downhill slopes</article-title>. <source>J. Appl. Physiol.</source> <volume>93</volume> (<issue>3</issue>), <fpage>1039</fpage>&#x2013;<lpage>1046</lpage>. <pub-id pub-id-type="doi">10.1152/japplphysiol.01177.2001</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>O&#x27;Connor</surname>
<given-names>C. M.</given-names>
</name>
<name>
<surname>Thorpe</surname>
<given-names>S. K.</given-names>
</name>
<name>
<surname>O&#x27;Malley</surname>
<given-names>M. J.</given-names>
</name>
<name>
<surname>Vaughan</surname>
<given-names>C. L.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Automatic detection of gait events using kinematic data</article-title>. <source>Gait Posture</source> <volume>25</volume> (<issue>3</issue>), <fpage>469</fpage>&#x2013;<lpage>474</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2006.05.016</pub-id>
</citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Park</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Chun</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Oh</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Chon</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>The change in vastus medialis oblique and vastus lateralis electromyographic activity related to shoe heel height during treadmill walking</article-title>. <source>J. Back Musculoskelet.</source> <volume>23</volume> (<issue>1</issue>), <fpage>39</fpage>&#x2013;<lpage>44</lpage>. <pub-id pub-id-type="doi">10.3233/bmr-2010-0246</pub-id>
</citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pickle</surname>
<given-names>N. T.</given-names>
</name>
<name>
<surname>Grabowski</surname>
<given-names>A. M.</given-names>
</name>
<name>
<surname>Auyang</surname>
<given-names>A. G.</given-names>
</name>
<name>
<surname>Silverman</surname>
<given-names>A. K.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>The functional roles of muscles during sloped walking</article-title>. <source>J. Biomech.</source> <volume>49</volume> (<issue>14</issue>), <fpage>3244</fpage>&#x2013;<lpage>3251</lpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2016.08.004</pub-id>
</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Prentice</surname>
<given-names>S. D.</given-names>
</name>
<name>
<surname>Hasler</surname>
<given-names>E. N.</given-names>
</name>
<name>
<surname>Groves</surname>
<given-names>J. J.</given-names>
</name>
<name>
<surname>Frank</surname>
<given-names>J. S.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Locomotor adaptations for changes in the slope of the walking surface</article-title>. <source>Gait Posture</source> <volume>20</volume> (<issue>3</issue>), <fpage>255</fpage>&#x2013;<lpage>265</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2003.09.006</pub-id>
</citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Redfern</surname>
<given-names>M. S.</given-names>
</name>
<name>
<surname>Cham</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Gielo-Perczak</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Gr&#xf6;nqvist</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Hirvonen</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Lanshammar</surname>
<given-names>H.</given-names>
</name>
<etal/>
</person-group> (<year>2001</year>). <article-title>Biomechanics of slips</article-title>. <source>Ergonomics</source> <volume>44</volume> (<issue>13</issue>), <fpage>1138</fpage>&#x2013;<lpage>1166</lpage>. <pub-id pub-id-type="doi">10.1080/00140130110085547</pub-id>
</citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rozumalski</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Steele</surname>
<given-names>K. M.</given-names>
</name>
<name>
<surname>Schwartz</surname>
<given-names>M. H.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Muscle synergies are similar when typically developing children walk on a treadmill at different speeds and slopes</article-title>. <source>J. Biomech.</source> <volume>64</volume>, <fpage>112</fpage>&#x2013;<lpage>119</lpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2017.09.002</pub-id>
</citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Saito</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Tomita</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Ando</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Watanabe</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Akima</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Similarity of muscle synergies extracted from the lower limb including the deep muscles between level and uphill treadmill walking</article-title>. <source>Gait Posture</source> <volume>59</volume>, <fpage>134</fpage>&#x2013;<lpage>139</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2017.10.007</pub-id>
</citation>
</ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Santuz</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Akay</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Mayer</surname>
<given-names>W. P.</given-names>
</name>
<name>
<surname>Wells</surname>
<given-names>T. L.</given-names>
</name>
<name>
<surname>Schroll</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Arampatzis</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Modular organization of murine locomotor pattern in the presence and absence of sensory feedback from muscle spindles</article-title>. <source>J. Physiol.-London</source> <volume>597</volume> (<issue>12</issue>), <fpage>3147</fpage>&#x2013;<lpage>3165</lpage>. <pub-id pub-id-type="doi">10.1113/jp277515</pub-id>
</citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Santuz</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Ekizos</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Janshen</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Baltzopoulos</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Arampatzis</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>On the methodological implications of extracting muscle synergies from human locomotion</article-title>. <source>Int. J. Neural Syst.</source> <volume>27</volume> (<issue>5</issue>), <fpage>1750007</fpage>. <pub-id pub-id-type="doi">10.1142/s0129065717500071</pub-id>
</citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Santuz</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Ekizos</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Janshen</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Mersmann</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Bohm</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Baltzopoulos</surname>
<given-names>V.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>Modular control of human movement during running: an open access data set</article-title>. <source>Front. Physiol.</source> <volume>9</volume>, <fpage>1509</fpage>. <pub-id pub-id-type="doi">10.3389/fphys.2018.01509</pub-id>
</citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Santuz</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Ekizos</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Kunimasa</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Kijima</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Ishikawa</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Arampatzis</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Lower complexity of motor primitives ensures robust control of high-speed human locomotion</article-title>. <source>Heliyon</source> <volume>6</volume> (<issue>10</issue>), <fpage>e05377</fpage>. <pub-id pub-id-type="doi">10.1016/j.heliyon.2020.e05377</pub-id>
</citation>
</ref>
<ref id="B54">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sarvestan</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Ataabadi</surname>
<given-names>P. A.</given-names>
</name>
<name>
<surname>Yazdanbakhsh</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Abbasi</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Abbasi</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Svoboda</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Lower limb joint angles and their variability during uphill walking</article-title>. <source>Gait Posture</source> <volume>90</volume>, <fpage>434</fpage>&#x2013;<lpage>440</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2021.09.195</pub-id>
</citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Simonsen</surname>
<given-names>E. B.</given-names>
</name>
<name>
<surname>Svendsen</surname>
<given-names>M. B.</given-names>
</name>
<name>
<surname>Norreslet</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Baldvinsson</surname>
<given-names>H. K.</given-names>
</name>
<name>
<surname>Heilskov-Hansen</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Larsen</surname>
<given-names>P. K.</given-names>
</name>
<etal/>
</person-group> (<year>2012</year>). <article-title>Walking on high heels changes muscle activity and the dynamics of human walking significantly</article-title>. <source>J. Appl. Biomech.</source> <volume>28</volume> (<issue>1</issue>), <fpage>20</fpage>&#x2013;<lpage>28</lpage>. <pub-id pub-id-type="doi">10.1123/jab.28.1.20</pub-id>
</citation>
</ref>
<ref id="B56">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Steele</surname>
<given-names>K. M.</given-names>
</name>
<name>
<surname>Rozumalski</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Schwartz</surname>
<given-names>M. H.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Muscle synergies and complexity of neuromuscular control during gait in cerebral palsy</article-title>. <source>Dev. Med. Child. Neurol.</source> <volume>57</volume> (<issue>12</issue>), <fpage>1176</fpage>&#x2013;<lpage>1182</lpage>. <pub-id pub-id-type="doi">10.1111/dmcn.12826</pub-id>
</citation>
</ref>
<ref id="B57">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Stefanyshyn</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Nigg</surname>
<given-names>B. M.</given-names>
</name>
<name>
<surname>Fisher</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>O Flynn</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>The influence of high heeled shoes on kinematics, kinetics, and muscle EMG of normal female gait</article-title>. <source>J. Appl. Biomech.</source> <volume>16</volume> (<issue>3</issue>), <fpage>309</fpage>&#x2013;<lpage>319</lpage>. <pub-id pub-id-type="doi">10.1123/jab.16.3.309</pub-id>
</citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Strutzenberger</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Leutgeb</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Claussen</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Schwameder</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Gait on slopes: differences in temporo-spatial, kinematic and kinetic gait parameters between walking on a ramp and on a treadmill</article-title>. <source>Gait Posture</source> <volume>91</volume>, <fpage>73</fpage>&#x2013;<lpage>78</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2021.09.196</pub-id>
</citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sun</surname>
<given-names>X. L.</given-names>
</name>
<name>
<surname>Lam</surname>
<given-names>W. K.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>X. N.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>J. Q.</given-names>
</name>
<name>
<surname>Fu</surname>
<given-names>W. J.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Systematic review of the role of footwear constructions in running biomechanics: implications for running-related injury and performance</article-title>. <source>J. Sport Sci. Med.</source> <volume>19</volume> (<issue>1</issue>), <fpage>20</fpage>&#x2013;<lpage>37</lpage>.</citation>
</ref>
<ref id="B60">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Vaughan</surname>
<given-names>C. L.</given-names>
</name>
<name>
<surname>Davis</surname>
<given-names>B. L.</given-names>
</name>
<name>
<surname>O&#xed;connor</surname>
<given-names>J. C.</given-names>
</name>
</person-group> (<year>1999</year>) <source>Dynamics of human gait</source>. <publisher-loc>Cape Town</publisher-loc>: <publisher-name>Kiboho Publishers</publisher-name>.</citation>
</ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Vernillo</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Giandolini</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Edwards</surname>
<given-names>W. B.</given-names>
</name>
<name>
<surname>Morin</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Samozino</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Horvais</surname>
<given-names>N.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>Biomechanics and physiology of uphill and downhill running</article-title>. <source>Sports Med.</source> <volume>47</volume>, <fpage>615</fpage>&#x2013;<lpage>629</lpage>. <pub-id pub-id-type="doi">10.1007/s40279-016-0605-y</pub-id>
</citation>
</ref>
<ref id="B62">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wall-Scheffler</surname>
<given-names>C. M.</given-names>
</name>
<name>
<surname>Chumanov</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Steudel-Numbers</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Heiderscheit</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Electromyography activity across gait and incline: the impact of muscular activity on human morphology</article-title>. <source>Am. J. Phys. Anthropol.</source> <volume>143</volume> (<issue>4</issue>), <fpage>601</fpage>&#x2013;<lpage>611</lpage>. <pub-id pub-id-type="doi">10.1002/ajpa.21356</pub-id>
</citation>
</ref>
<ref id="B63">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Cates</surname>
<given-names>H. E.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>S. N.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Is knee biomechanics different in uphill walking on different slopes for older adults with total knee replacement?</article-title> <source>J. Biomech.</source> <volume>89</volume>, <fpage>40</fpage>&#x2013;<lpage>47</lpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2019.04.006</pub-id>
</citation>
</ref>
<ref id="B64">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wiedemeijer</surname>
<given-names>M. M.</given-names>
</name>
<name>
<surname>Otten</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Effects of high heeled shoes on gait. A review</article-title>. <source>Gait Posture</source> <volume>61</volume>, <fpage>423</fpage>&#x2013;<lpage>430</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2018.01.036</pub-id>
</citation>
</ref>
<ref id="B65">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Winter</surname>
<given-names>D. A.</given-names>
</name>
</person-group> (<year>1980</year>). <article-title>Overall principle of lower limb support during stance phase of gait</article-title>. <source>J. Biomech.</source> <volume>13</volume> (<issue>11</issue>), <fpage>923</fpage>&#x2013;<lpage>927</lpage>. <pub-id pub-id-type="doi">10.1016/0021-9290(80)90162-1</pub-id>
</citation>
</ref>
<ref id="B66">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Winter</surname>
<given-names>D. A.</given-names>
</name>
</person-group> (<year>1991</year>) <source>Biomechanics and motor control of human gait: normal, elderly and pathological</source>. <publisher-loc>Ontario</publisher-loc>: <publisher-name>University of Waterloo Press</publisher-name>.</citation>
</ref>
<ref id="B67">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Cavanagh</surname>
<given-names>P. R.</given-names>
</name>
</person-group> (<year>1995</year>). <article-title>ISB recommendations for standardization in the reporting of kinematic data</article-title>. <source>J. Biomech.</source> <volume>28</volume> (<issue>10</issue>), <fpage>1257</fpage>&#x2013;<lpage>1261</lpage>. <pub-id pub-id-type="doi">10.1016/0021-9290(95)00017-c</pub-id>
</citation>
</ref>
<ref id="B68">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Siegler</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Allard</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Kirtley</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Leardini</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Rosenbaum</surname>
<given-names>D.</given-names>
</name>
<etal/>
</person-group> (<year>2002</year>). <article-title>ISB recommendation on definitions of joint coordinate system of various joints for the reporting of human joint motion&#x2014;part I: ankle, hip, and spine</article-title>. <source>J. Biomech.</source> <volume>35</volume> (<issue>4</issue>), <fpage>543</fpage>&#x2013;<lpage>548</lpage>. <pub-id pub-id-type="doi">10.1016/s0021-9290(01)00222-6</pub-id>
</citation>
</ref>
<ref id="B69">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yamato</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Nojima</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Banno</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Hasegawa</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Yoshida</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Oe</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>Measuring muscle activity in the trunk, pelvis, and lower limb which are used to maintain standing posture in patients with adult spinal deformity, with focus on muscles that contract in the compensatory status</article-title>. <source>Glob. Spine J.</source> <volume>13</volume> (<issue>8</issue>), <fpage>2245</fpage>&#x2013;<lpage>2254</lpage>. <pub-id pub-id-type="doi">10.1177/21925682221079257</pub-id>
</citation>
</ref>
<ref id="B70">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Qu</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Jiang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Cui</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Rietdyk</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>The relative contributions of sagittal, frontal, and transverse joint works to self-paced incline and decline slope walking</article-title>. <source>J. Biomech.</source> <volume>92</volume>, <fpage>35</fpage>&#x2013;<lpage>44</lpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2019.05.027</pub-id>
</citation>
</ref>
<ref id="B71">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yu</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>He</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Gu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Xuan</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Fernandez</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Acute effects of heel-to-toe drop and speed on running biomechanics and strike pattern in male recreational runners: application of statistical nonparametric mapping in lower limb biomechanics</article-title>. <source>Front. Bioeng. Biotech.</source> <volume>9</volume>, <fpage>821530</fpage>. <pub-id pub-id-type="doi">10.3389/fbioe.2021.821530</pub-id>
</citation>
</ref>
<ref id="B72">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zai</surname>
<given-names>C. Z.</given-names>
</name>
<name>
<surname>Grabowski</surname>
<given-names>A. M.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>The metabolic power required to support body weight and accelerate body mass changes during walking on uphill and downhill slopes</article-title>. <source>J. Biomech.</source> <volume>103</volume>, <fpage>109667</fpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2020.109667</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>