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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Neurol.</journal-id>
<journal-title>Frontiers in Neurology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Neurol.</abbrev-journal-title>
<issn pub-type="epub">1664-2295</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fneur.2023.1237162</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Neurology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Innovative multidimensional gait evaluation using IMU in multiple sclerosis: introducing the semiogram</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes" equal-contrib="yes">
<name><surname>Voisard</surname> <given-names>Cyril</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>&#x02020;</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x02021;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/2027031/overview"/>
</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name><surname>de l&#x00027;Escalopier</surname> <given-names>Nicolas</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>&#x02020;</sup></xref>
<xref ref-type="author-notes" rid="fn003"><sup>&#x02021;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/2003646/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Vienne-Jumeau</surname> <given-names>Ali&#x000E9;nor</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Moreau</surname> <given-names>Albane</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Quijoux</surname> <given-names>Flavien</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/906375/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Bompaire</surname> <given-names>Flavie</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Sallansonnet</surname> <given-names>Magali</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Brechemier</surname> <given-names>Marie-Laure</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Taifas</surname> <given-names>Irina</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Tafani</surname> <given-names>Camille</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Drouard</surname> <given-names>Eve</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Vayatis</surname> <given-names>Nicolas</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/773220/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Ricard</surname> <given-names>Damien</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Oudre</surname> <given-names>Laurent</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/635321/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Universit&#x000E9; Paris Saclay, Universit&#x000E9; Paris Cit&#x000E9;, Ecole Normale Sup&#x000E9;rieure Paris Saclay, Centre National de la Recherche Scientifique, Service de Sant&#x000E9; des Arm&#x000E9;es, Institut National de la Sant&#x000E9; et de la Recherche M&#x000E9;dicale, Centre Borelli</institution>, <addr-line>Gif-sur-Yvette</addr-line>, <country>France</country></aff>
<aff id="aff2"><sup>2</sup><institution>Service de Neurologie, Service de Sant&#x000E9; des Arm&#x000E9;es, H&#x000F4;pital d&#x00027;Instruction des Arm&#x000E9;es Percy</institution>, <addr-line>Clamart</addr-line>, <country>France</country></aff>
<aff id="aff3"><sup>3</sup><institution>Universit&#x000E9; Paris Cit&#x000E9;, Universit&#x000E9; Paris Saclay, Ecole Normale Sup&#x000E9;rieure Paris Saclay, Centre National de la Recherche Scientifique, Service de Sant&#x000E9; des Arm&#x000E9;es, Institut National de la Sant&#x000E9; et de la Recherche M&#x000E9;dicale, Centre Borelli</institution>, <addr-line>Paris</addr-line>, <country>France</country></aff>
<aff id="aff4"><sup>4</sup><institution>Service de Chirurgie Orthop&#x000E9;dique, Traumatologique et R&#x000E9;paratrice des Membres, Service de Sant&#x000E9; des Arm&#x000E9;es, H&#x000F4;pital d&#x00027;Instruction des Arm&#x000E9;es Percy</institution>, <addr-line>Clamart</addr-line>, <country>France</country></aff>
<aff id="aff5"><sup>5</sup><institution>Ecole du Val-de-Gr&#x000E2;ce, Service de Sant&#x000E9; des Arm&#x000E9;es</institution>, <addr-line>Paris</addr-line>, <country>France</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Luigi Tesio, Italian Auxological Institute (IRCCS), Italy</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Anisoara Paraschiv-Ionescu, Swiss Federal Institute of Technology Lausanne, Switzerland; Serap Alsancak, Ankara University, T&#x000FC;rkiye; Roy M&#x000FC;ller, Klinikum Bayreuth GmbH, Germany</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Cyril Voisard <email>cyril.voisard&#x00040;etu.u-paris.fr</email></corresp>
<fn fn-type="equal" id="fn001"><p>&#x02020;These authors have contributed equally to this work</p></fn>
<fn fn-type="other" id="fn002"><p>&#x02021;ORCID: Cyril Voisard <ext-link ext-link-type="uri" xlink:href="https://orcid.org/0000-0001-5589-525X">orcid.org/0000-0001-5589-525X</ext-link></p></fn>
<fn fn-type="other" id="fn003"><p>Nicolas de l&#x00027;Escalopier <ext-link ext-link-type="uri" xlink:href="https://orcid.org/0000-0001-6333-7311">orcid.org/0000-0001-6333-7311</ext-link></p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>15</day>
<month>09</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>14</volume>
<elocation-id>1237162</elocation-id>
<history>
<date date-type="received">
<day>08</day>
<month>06</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>24</day>
<month>08</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2023 Voisard, de l&#x00027;Escalopier, Vienne-Jumeau, Moreau, Quijoux, Bompaire, Sallansonnet, Brechemier, Taifas, Tafani, Drouard, Vayatis, Ricard and Oudre.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Voisard, de l&#x00027;Escalopier, Vienne-Jumeau, Moreau, Quijoux, Bompaire, Sallansonnet, Brechemier, Taifas, Tafani, Drouard, Vayatis, Ricard and Oudre</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>
<sec>
<title>Background</title>
<p>Quantifying gait using inertial measurement units has gained increasing interest in recent years. Highly degraded gaits, especially in neurological impaired patients, challenge gait detection algorithms and require specific segmentation and analysis tools. Thus, the outcomes of these devices must be rigorously tested for both robustness and relevancy in order to recommend their routine use. In this study, we propose a multidimensional score to quantify and visualize gait, which can be used in neurological routine follow-up. We assessed the reliability and clinical coherence of this method in a group of severely disabled patients with progressive multiple sclerosis (pMS), who display highly degraded gait patterns, as well as in an age-matched healthy subjects (HS) group.</p></sec>
<sec>
<title>Methods</title>
<p>Twenty-two participants with pMS and nineteen HS were included in this 18-month longitudinal follow-up study. During the follow-up period, all participants completed a 10-meter walk test with a U-turn and back, twice at M0, M6, M12, and M18. Average speed and seven clinical criteria (sturdiness, springiness, steadiness, stability, smoothness, synchronization, and symmetry) were evaluated using 17 gait parameters selected from the literature. The variation of these parameters from HS values was combined to generate a multidimensional visual tool, referred to as a semiogram.</p></sec>
<sec>
<title>Results</title>
<p>For both cohorts, all criteria showed moderate to very high test&#x02013;retest reliability for intra-session measurements. Inter-session quantification was also moderate to highly reliable for all criteria except smoothness, which was not reliable for HS participants. All partial scores, except for the stability score, differed between the two populations. All partial scores were correlated with an objective but not subjective quantification of gait severity in the pMS population. A deficit in the pyramidal tract was associated with altered scores in all criteria, whereas deficits in cerebellar, sensitive, bulbar, and cognitive deficits were associated with decreased scores in only a subset of gait criteria.</p></sec>
<sec>
<title>Conclusions</title>
<p>The proposed multidimensional gait quantification represents an innovative approach to monitoring gait disorders. It provides a reliable and informative biomarker for assessing the severity of gait impairments in individuals with pMS. Additionally, it holds the potential for discriminating between various underlying causes of gait alterations in pMS.</p></sec></abstract>
<kwd-group>
<kwd>gait quantification</kwd>
<kwd>gait disorders</kwd>
<kwd>multiple sclerosis</kwd>
<kwd>wearable inertial sensors</kwd>
<kwd>inertial measurement unit</kwd>
</kwd-group>
<counts>
<fig-count count="7"/>
<table-count count="5"/>
<equation-count count="0"/>
<ref-count count="56"/>
<page-count count="15"/>
<word-count count="9285"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Neurorehabilitation</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1. Introduction</title>
<p>Multiple sclerosis (MS) is a chronic demyelinating disease of the central nervous system that can cause a variety of symptoms, including spasticity, fatigue, loss of balance, sensory deficits, and weakness. These impairments often interfere with gait, with up to 75% of people with MS reporting difficulties walking at some point during the course of their disease (<xref ref-type="bibr" rid="B1">1</xref>). Many patients rank complaints such as &#x0201C;heavy legs,&#x0201D; sensations of having to &#x0201C;fight their own leg,&#x0201D; and &#x0201C;running out of energy&#x0201D; as the most debilitating (<xref ref-type="bibr" rid="B2">2</xref>). These impairments have a significant impact on the daily activities, social status, and overall quality of life of people with MS and their loved ones.</p>
<p>Day-to-day evaluation of gait disturbances in MS primarily relies on detailed patient interviews and visual observation of walking. The Kurtzke Expanded Disability Status Scale (EDSS), a 0- to 10-point scale, is the main reported outcome measure, determined by gait and functional system (FS) scores, including Pyramidal, Cerebellar, Brainstem, Sensory, Bowel, and Bladder, Visual, Cerebral or Mental, and Other factors. EDSS scores &#x02264; 4.0 are determined by FS scores alone, whereas scores 4.0&#x02013;9.5 represent both gait abilities and FS scores. However, this scale is criticized for its insensitivity to early alterations and slight changes (<xref ref-type="bibr" rid="B3">3</xref>), as well as its high inter-rater variability (<xref ref-type="bibr" rid="B4">4</xref>). To complement clinician assessment, patient-reported outcomes such as the Multiple Sclerosis Walking Scale-12 (MSWS) can inform mobility limitations (<xref ref-type="bibr" rid="B5">5</xref>). The MSWS is a 12-item measure of the impact of MS on walking, rated on a scale from 1 to 5, and reported from 0 to 100. However, patient-reported outcomes are subjective and may be confounded by psychosocial factors, disease-related cognitive impairments, unblinding and &#x0201C;expectation bias,&#x0201D; or &#x0201C;response shift&#x0201D; in longitudinal evaluations (<xref ref-type="bibr" rid="B6">6</xref>).</p>
<p>Objective gait can be measured in various ways. Stopwatch-timed tests, such as the timed up-and-go test or the 25-foot walk test, are considered the best objective measure of walking disability for MS (<xref ref-type="bibr" rid="B5">5</xref>) and have long been used (<xref ref-type="bibr" rid="B7">7</xref>, <xref ref-type="bibr" rid="B8">8</xref>). However, these tests have high intra-subject variability (<xref ref-type="bibr" rid="B9">9</xref>) solely on gait performance, without taking into account its quality status. From a semiological standpoint, the visual qualitative description of gait disorders has long been and still remains the primary tool for clinicians. However, in some progressive diseases such as multiple sclerosis, gait degradation may be quantified at an infra-clinical scale: visual evaluation may lack sensitivity for small changes and cannot reliably capture the progression from one consultation to another (<xref ref-type="bibr" rid="B10">10</xref>). To refine the analysis, laboratory-based measurements are powerful tools that can track gait disturbances early on in clinically isolated syndromes (<xref ref-type="bibr" rid="B11">11</xref>). However, these tools are cumbersome and expensive, and cannot be implemented within the time constraints of a routine clinical examination.</p>
<p>Inertial measurement units (IMUs) are small, lightweight wearable sensors that can be used to assess gait in MS both in routine clinical practice and at home for long-term physiological gait assessment (<xref ref-type="bibr" rid="B7">7</xref>, <xref ref-type="bibr" rid="B12">12</xref>&#x02013;<xref ref-type="bibr" rid="B19">19</xref>). They have also been found useful to detect early changes in MS with clinically isolated syndromes (<xref ref-type="bibr" rid="B13">13</xref>, <xref ref-type="bibr" rid="B20">20</xref>), and parameters such as speed, step length, and step time are correlated with the severity of the disease (<xref ref-type="bibr" rid="B16">16</xref>). Longitudinal monitoring of gait and balance identifies changes in disease progression that are modifiable with physical rehabilitation (<xref ref-type="bibr" rid="B21">21</xref>). The use of IMUs to study the impact of spasticity on MS gait has received increased support with the development of related treatments (<xref ref-type="bibr" rid="B22">22</xref>&#x02013;<xref ref-type="bibr" rid="B24">24</xref>). Nevertheless, other causes of gait deterioration (ataxia, sensitive deficit, vestibular deficit, and cognitive deficit) have been little investigated.</p>
<p>In this study, we present a simple visual tool computed from IMU signals, called a semiogram, which enables a qualitative evaluation of gait for the longitudinal monitoring of patients with progressive MS (pMS), characterized by gradual accrual of disability independent of relapses over time, and including primary and secondary progressive MS. The primary objective of this tool is to assist the clinician in quantifying the degradation or improvement of each semiotic criterion of gait activity from one consultation to another in a patient. This study details the construction of the semiogram, evaluates its reliability among a group of pMS patients and healthy control subjects (HS) measured at different times, and finally shows that this representation is consistent with disease severity and functional status scores, such as MSWS, EDSS, and EDSS FS values, in individuals with pMS.</p>
</sec>
<sec sec-type="methods" id="s2">
<title>2. Methods</title>
<sec>
<title>2.1. Cohorts</title>
<p>Participants with pMS were consecutively recruited from the outpatient clinic of Percy Hospital (Clamart, France) between June 2018 and September 2018. HS participants were recruited from the hospital and research unit staff between June 2018 and September 2018. All participants were followed for 12 months. The inclusion criteria for the pMS cohort were an age of at least 18 years, a diagnosis of primary progressive or secondary progressive MS according to the 2010 International Panel criteria (<xref ref-type="bibr" rid="B25">25</xref>), the ability to walk two sets of 10 m forward and back with a U-turn, and no other condition than neurological one linked to pMS that affects gait. The only exclusion criterion was pregnancy. Inclusion criteria for the HS cohort were no report of falls in the past 5 years before inclusion [falls were defined as events that lead the standing or walking individual to a lower level on the ground unintentionally, without being externally pushed or pulled, regardless of whether an injury is sustained (<xref ref-type="bibr" rid="B26">26</xref>)], no disease that could affect walking and to be considered healthy after a clinical examination by medical doctors among investigators. All participants provided written informed consent before inclusion. The study protocol was conducted according to the Helsinki principles and was approved by Ethics Committee &#x0201C;Protection des Personnes Nord Ouest III&#x0201D; (ID RCB: 2017-A01538-45).</p>
</sec>
<sec>
<title>2.2. Gait measurement protocol and processing</title>
<sec>
<title>2.2.1. Protocol</title>
<p>Gait was measured by using three 3-D accelerometers (MTw Awinda XSens<sup>&#x000AE;</sup>, 100-Hz sampling frequency) positioned on the lower back (L4-L5 vertebrae) and dorsal part of both feet with elastic belts. All participants remained fully clothed and wore their own shoes, which remained consistent between all visits. Participants who used bracing or assistive devices for safety during gait used them during all walking trials. Each gait measurement included two 10-m walks with a U-turn and back, performed at a self-selected comfortable speed on an unlevelled floor. The start of each walking trial was verbally signaled by the assessor. The U-turn was to be performed behind a marked line on the ground, and both the strategy and side of the U-turn were left up to the patient&#x00027;s discretion. Patients were assessed three times at 6-month intervals. The protocol and sensor placement are shown in <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Gait protocol. <bold>(A)</bold> mTw Awinda XSens<sup>&#x000AE;</sup> sensor; <bold>(B)</bold> Position of the sensor on the dorsal part of each foot; <bold>(C)</bold> Position of the sensors using Velcro bands: one sensor on each foot, one sensor in the lower back (vertebra L5); <bold>(D)</bold> Gait trial: 10-meter walk test with a U-turn.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fneur-14-1237162-g0001.tif"/>
</fig>
</sec>
<sec>
<title>2.2.2. Gait detection</title>
<p>Gait detection was performed using an automated detection algorithm that was previously described (<xref ref-type="bibr" rid="B27">27</xref>). The algorithm combined pattern extraction and temporal dilation methods to detect gait events from the foot-level sensor data. Firstly, patterns corresponding to steps in multidimensional time series were extracted from foot-level sensors. Then, the algorithm accurately determined the two important walking events&#x02014;Initial Contact (IC) and Final Contact (FC).</p>
</sec>
<sec>
<title>2.2.3. U-turn detection</title>
<p>The U-turn was identified from the whole signal using a previously validated automated method (<xref ref-type="bibr" rid="B28">28</xref>). In summary, the method integrated the angular velocity around the craniocaudal axis derived from the IMU positioned on the lower back to extract the angular position around the craniocaudal axis. During the U-turn, the linear drift was corrected by assuming that the turn begins at 0&#x000B0; and ends at 180&#x000B0;. The method automatically detected inflection points close to these values and defined them as the boundaries of the U-turn. Overall, this automated method was able to accurately delineate the U-turn from the walking signal using IMU data.</p>
</sec>
</sec>
<sec>
<title>2.3. Construction of the semiogram</title>
<sec>
<title>2.3.1. Inclusion and computation of potential parameters</title>
<p>The selection of parameters included in the multidimensional score was initially based on a systematic review of the use of inertial sensors in neurological populations, conducted by Vienne et al. (<xref ref-type="bibr" rid="B7">7</xref>), this selection was then complemented by more recent parameters validated in the literature (<xref ref-type="bibr" rid="B29">29</xref>&#x02013;<xref ref-type="bibr" rid="B34">34</xref>). As recommended in this systematic review, walking speed was initially considered a global criterion for assessing gait quality. Then, the semiological analysis of walking was segmented into seven gait criteria that are commonly assessed in the fields of neurology, physical medicine, rehabilitation, gerontology, and rheumatology. The seven criteria were: springiness, smoothness, steadiness, sturdiness, stability, symmetry, and synchronization. To develop the multidimensional score, we selected the most relevant parameters for each of the seven gait criteria based on the systematic review, updated according to the literature. The calculation methods for each parameter were derived from the literature and are explained below. The use of consistent definitions and methods ensured the reliability and validity of the multidimensional score across different studies and populations.</p>
<list list-type="bullet">
<list-item><p><bold>Average speed:</bold> refers to gait velocity.</p></list-item>
</list>
<list list-type="simple">
<list-item><p>&#x02212; <italic>Velocity (</italic><italic>V</italic><italic>)</italic>. It was defined as the total length (20 m) divided by the total duration of the walking test (from the first to the last gait event) after the exclusion of the U-turn.</p></list-item>
</list>
<list list-type="bullet">
<list-item><p><bold>Springiness:</bold> refers to gait rhythmicity. Two parameters were selected for inclusion:</p></list-item>
</list>
<list list-type="simple">
<list-item><p>&#x02212; <italic>Stride time (</italic><italic>StrT</italic><italic>)</italic>. This allows for capturing springiness during straight walking. It was defined as the time between consecutive initial contact (IC) of the same foot, averaged across all strides within the trial after the initiation step, and excluding the U-turn period. This definition ensures that only valid strides are included in the calculation of stride time.</p></list-item>
<list-item><p>&#x02212; <italic>U-turn time (</italic><italic>UtrT</italic><italic>)</italic>. This allows for capturing springiness during U-turn. It was defined as the duration of the turn that was segmented using the method described above.</p></list-item>
</list>
<list list-type="bullet">
<list-item><p><bold>Smoothness:</bold> refers to gait continuousness or non-intermittency (<xref ref-type="bibr" rid="B35">35</xref>). Three parameters were selected for inclusion, as recommended by Melendez-Calderon et al. (<xref ref-type="bibr" rid="B29">29</xref>):</p></list-item>
</list>
<list list-type="simple">
<list-item><p>&#x02212; <italic>Spectral arc length (</italic><italic>SPARC</italic>&#x02212;<italic>G</italic><italic>)</italic>. It measures the smoothness of the trunk signal by analyzing its frequency components by calculating the arc length of the Fourier magnitude spectrum of the gyration signal within an adaptive frequency range. This index quantifies movement intermittencies independently of its amplitude or duration (<xref ref-type="bibr" rid="B29">29</xref>, <xref ref-type="bibr" rid="B30">30</xref>, <xref ref-type="bibr" rid="B32">32</xref>&#x02013;<xref ref-type="bibr" rid="B34">34</xref>). The computation procedure was performed according to the method described by Melendez-Calderon et al. (<xref ref-type="bibr" rid="B29">29</xref>).</p></list-item>
<list-item><p>&#x02212; <italic>Log dimensionless jerk (</italic><italic>LDLJ</italic>&#x02212;<italic>A</italic><italic>)</italic>. This quantifies how quickly the acceleration of the signal is changing over time, taking into account amplitude and duration. We computed the anteroposterior jerk of the trunk sensor, during straight-walking phases as the variation of the anteroposterior acceleration (<xref ref-type="bibr" rid="B35">35</xref>). The computation procedure was the same as described in Melendez-Calderon et al. (<xref ref-type="bibr" rid="B29">29</xref>). A longer spectrum indicates a rougher signal.</p></list-item>
</list>
<list list-type="bullet">
<list-item><p><bold>Steadiness:</bold> refers to gait regularity. Four parameters were selected for inclusion:</p></list-item>
</list>
<list list-type="simple">
<list-item><p>&#x02212; <italic>Variation coefficient of step time (</italic><italic>CV</italic><sub><italic>StrT</italic></sub><italic>)</italic>. This allows for capturing springiness variation along the test. It was defined as the standard deviation of the vector of stride times divided by its average.</p></list-item>
<list-item><p>&#x02212; <italic>Variation coefficient of double stance time (</italic><italic>CV</italic><sub><italic>dstT</italic></sub><italic>)</italic>. This allows for capturing synchronization variation along the test. It was defined as the standard deviation of the vector of double stance times divided by its average.</p></list-item>
<list-item><p>&#x02212; <italic>Craniocaudal step autocorrelation coefficient (</italic><italic>P</italic>1<sub><italic>aCC</italic></sub><italic>)</italic>. It evaluates how similar the signal of the trunk is at a time delay corresponding to the duration of a step. This similarity is quantified by the first peak of the craniocaudal autocorrelation coefficient of the lower back.</p></list-item>
<list-item><p>&#x02212; <italic>Craniocaudal stride autocorrelation coefficient (</italic><italic>P</italic>2<sub><italic>aCC</italic></sub><italic>)</italic>. It evaluates how similar the signal of the trunk is at a time delay corresponding to the duration of a stride. This similarity is quantified by the second peak of the craniocaudal autocorrelation coefficient of the lower back.</p></list-item>
</list>
<list list-type="bullet">
<list-item><p><bold>Sturdiness:</bold> refers to gait amplitude. One parameter was selected for inclusion:</p></list-item>
</list>
<list list-type="simple">
<list-item><p>&#x02212; <italic>Step length (</italic><italic>SteL</italic><italic>)</italic>. It is an indirect indicator of sturdiness that reflects the solidity and robustness of the gait. It was defined as the total length (20 m) divided by the total number of steps after the exclusion of the U-turn.</p></list-item>
</list>
<list list-type="bullet">
<list-item><p><bold>Stability:</bold> refers to gait balance. One parameter was selected for inclusion:</p></list-item>
</list>
<list list-type="simple">
<list-item><p>&#x02212; <italic>Mediolateral root mean square (</italic><italic>RMS</italic><sub><italic>aML</italic></sub><italic>)</italic>. It quantifies the side-to-side movement of the trunk during the test. It was defined as the measure of the dispersion of the mediolateral acceleration of the lower back relative to zero during straight-walking phases.</p></list-item>
</list>
<list list-type="bullet">
<list-item><p><bold>Symmetry:</bold> refers to right/left concordance during gait. Five parameters were selected for inclusion:</p></list-item>
</list>
<list list-type="simple">
<list-item><p>&#x02212; <italic>Ratio of the step to the stride peak of the craniocaudal correlation coefficient (</italic><italic>P</italic>1<italic>P</italic>2<sub><italic>aCC</italic></sub><italic>)</italic>. This quantifies the symmetry of the resultant acceleration at the trunk level during left and right activities. It was defined as the ratio of P1 to P2, P1 and P2 previously defined.</p></list-item>
<list-item><p>&#x02212; <italic>Ratio of left and right mean swing times (</italic><italic>swTr</italic><italic>)</italic>. This quantifies the symmetry of the left and right activities. It was defined as the ratio of the minimum (right or left) of averaged swing time divided by the maximum (right or left) of averaged swing time.</p></list-item>
<list-item><p>&#x02212; <italic>Three improved harmonic ratios: anteroposterior (</italic><italic>iHR</italic><sub><italic>aAP</italic></sub><italic>), mediolateral (</italic><italic>iHR</italic><sub><italic>aML</italic></sub><italic>), craniocaudal (</italic><italic>iHR</italic><sub><italic>aCC</italic></sub><italic>)</italic>. They evaluate the similarity of the energy distribution as a function of frequency between the left and right limbs. The use of the harmonic ratio to describe gait smoothness was first introduced by Gage (<xref ref-type="bibr" rid="B36">36</xref>) and later improved by Pasciuto et al. (<xref ref-type="bibr" rid="B37">37</xref>). The iHRs quantify the biphasic and monophasic natures of the signals, which are part of gait symmetry (<xref ref-type="bibr" rid="B38">38</xref>). The computation procedure was as described (<xref ref-type="bibr" rid="B31">31</xref>). To sum up, for each stride, a fast Fourier transform was performed to draw the Fourier series of the stride. The iHRs were calculated as the ratio of the power of the intrinsic harmonics (even harmonics along the anteroposterior and craniocaudal axes, odd harmonics along the mediolateral axes) to the total power of the signal. The result is a normalized index ranging from 0 to 100%.</p></list-item>
</list>
<list list-type="bullet">
<list-item><p><bold>Synchronization:</bold> refers to inter-limb coordination during gait. One parameter was selected for inclusion:</p></list-item>
</list>
<list list-type="simple">
<list-item><p>&#x02212; <italic>Double stance time (dstT):</italic> It assesses the synchronization between the lower limbs by quantifying the time during which both feet are in contact with the ground simultaneously. It was defined as the time between the IC of one foot and the FC of the contralateral foot divided by the total time of the cycle time. Two periods of double stance occur during a cycle and are therefore added before division by the total time of the cycle time.</p></list-item>
</list>
</sec>
<sec>
<title>2.3.2. Selection of included parameters based on their reliability</title>
<p>For each parameter, we used a test-retest design to compute intra- and inter-session reliability. Intraclass correlation coefficients (ICCs) and standard error of the mean (SEM) values were calculated for all participants (both pMS and HS). To determine the level of agreement, we followed previous studies (<xref ref-type="bibr" rid="B39">39</xref>, <xref ref-type="bibr" rid="B40">40</xref>). ICCs &#x02265;0.75 were considered excellent, 0.4&#x02013;0.75 were considered moderate to high, and &#x02264; 0.4 were considered low. Parameters with ICCs of 0.4 or lower were removed from the calculation of the gait criteria partial scores.</p>
</sec>
<sec>
<title>2.3.3. Construction of the criteria partial scores</title>
<p>The z-score normalization method was used for each parameter in the study. This method allows for a comparison of the results across individuals and groups by transforming the raw data into a standardized score that reflects the distance from the mean in terms of standard deviation units. The z-score was computed for each participant based on the average value of the corresponding parameter in the reference group of HS in the same age range. A positive or negative z-score indicates that the value of the parameter for the participant is above or below the average value in the reference group, respectively. To facilitate interpretation, a z-coefficient of 1 or -1 was assigned to each parameter to indicate whether an increase in the parameter was considered beneficial or pathological, respectively. For gait criteria that included multiple parameters, the z-scores were merged with an arithmetic average to provide a single z-score for the criterion.</p>
</sec>
</sec>
<sec>
<title>2.4. Clinical outcomes</title>
<p>The clinical outcomes assessed in pMS patients included both global severity outcomes, such as the Expanded Disability Status Scale (EDSS) and the Multiple Sclerosis Walking Scale-12 (MSWS), and functional severity scores, such as the Functional Scores (FS) obtained from the EDSS scale. Trained neurologists from Percy Hospital evaluated the FSs and total EDSS values before each trial. The MSWS was self-completed by the participants before each walking test visit.</p>
</sec>
<sec>
<title>2.5. Statistical analysis</title>
<sec>
<title>2.5.1. Reliability</title>
<p>A test retest design was chosen to evaluate the variability of the measurement between intra-session and inter-session evaluations for both HS and pMS participants. Relative reliability was computed by using two models of the ICC, ICC(1,1) and ICC(3,1), which both assess the relative reliability of single measurements (<xref ref-type="bibr" rid="B41">41</xref>). ICC(1,1) is based on the hypothesis that all within-subject variability is due to measurement error and ICC(3,1) assumes that this variability is caused by systematic bias different from measurement error. Heteroskedasticity, a property of a variable that shows non-constant standard deviations across observations, could cause misinterpretation of the ICC (<xref ref-type="bibr" rid="B42">42</xref>). Thus, heteroskedasticity was ruled out by testing the Pearson correlation coefficient (r) between the absolute differences and the individual mean values against the null hypothesis. A low ICC can be due to within-subject variability or narrow ranges of values within the sample (<xref ref-type="bibr" rid="B22">22</xref>). To distinguish between these two explanations, the SEM was computed as a measure of absolute reliability.</p>
</sec>
<sec>
<title>2.5.2. Coherence</title>
<p>To ensure the relevance of each criterion, correlations between the parameters within each criterion and with other parameters were assessed. If there was a negative correlation between two parameters within a criterion, the less informative parameter was excluded from the criterion.</p>
</sec>
<sec>
<title>2.5.3. Differences between groups</title>
<p>For each gait criterion and parameter, z-scores differences between groups were analyzed using the Mann-Whitney <italic>U</italic>-test.</p>
</sec>
<sec>
<title>2.5.4. Correlations with gait severity and functional status</title>
<p>Correlation of z-scores with EDSS values and patient-reported outcomes as well as functional scores of the EDSS scale was assessed by the Pearson correlation coefficient and tested with the Fisher exact test.</p>
<p>Primary data analysis involved using MATLAB<sup>&#x000AE;</sup> R2020b and Python 3.8 and statistical analysis involved R v3.5.3. All analyses used two-sided tests, and <italic>p</italic> &#x02264; 0.05 was considered statistically significant. Correction for multiple comparisons using Bonferroni adjustment was applied for all tests.</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3. Results</title>
<sec>
<title>3.1. Cohorts</title>
<p>Twenty individuals with pMS (10 females) and 19 age-matched HS (12 females) were enrolled in this longitudinal prospective study (<xref ref-type="table" rid="T1">Table 1</xref>). The mean age was 58 (SD 14) and 54 (SD 9), respectively. In the pMS cohort, the median EDSS was high (5.5 [quartile 1 (Q1)-Q3: 3.5 6.0]) and seven patients needed a walking aid to perform the test. Two participants from the HS cohort could not perform the measurement at 12 months. Therefore, only their first two visits were included. Four participants from the pMS cohort could not perform the measurement at 18 months and only their first three visits were included. Thus, we had 110 trials from HS participants and 168 trials from pMS patients.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Baseline characteristics of individuals with progressive multiple sclerosis (pMS) and healthy subjects (HS).</p></caption> 
<table frame="box" rules="all">
<thead>
<tr style="background-color:&#x00023;919498;color:&#x00023;ffffff">
<th valign="top" align="left"><bold>Characteristics</bold></th>
<th valign="top" align="center"><bold>pMS (<italic>n</italic> = 22)</bold></th>
<th valign="top" align="center"><bold>HS (<italic>n</italic> = 19)<sup>&#x0002A;</sup></bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Sex (M/F)</td>
<td valign="top" align="center">11/11</td>
<td valign="top" align="center">12/7</td>
</tr> <tr>
<td valign="top" align="left">Age (years)</td>
<td valign="top" align="center">58 (14)</td>
<td valign="top" align="center">51 (17)</td>
</tr> <tr>
<td valign="top" align="left">Height (m)</td>
<td valign="top" align="center">1.72 (0.08)</td>
<td valign="top" align="center">1.71 (0.06)</td>
</tr> <tr>
<td valign="top" align="left">Weight (kg)</td>
<td valign="top" align="center">70.4 (15.3)</td>
<td valign="top" align="center">71.7 (14.3)</td>
</tr> <tr>
<td valign="top" align="left">Body mass index (kg/m<sup>2</sup>)</td>
<td valign="top" align="center">23.6 (4.1)</td>
<td valign="top" align="center">24.3 (4.3)</td>
</tr> <tr style="background-color:#dee1e1">
<td valign="top" align="left"><bold>Concerning pMS</bold></td>
<td/>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">Years since diagnosis</td>
<td valign="top" align="center">16 (10)</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">- <italic>Years since first sign</italic></td>
<td valign="top" align="center">22 (15)</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">- <italic>Years since progression</italic></td>
<td valign="top" align="center">11 (10)</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">Expanded Disease Status Scale</td>
<td valign="top" align="center">5.5 [3.5&#x02013;6]</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">- <italic>Pyramidal function</italic></td>
<td valign="top" align="center">3 [3&#x02013;3]</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">- <italic>Cerebellar function</italic></td>
<td valign="top" align="center">2 [0&#x02013;3]</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">- <italic>Bulbar function</italic></td>
<td valign="top" align="center">0 [0&#x02013;1]</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">- <italic>Sensitive function</italic></td>
<td valign="top" align="center">2 [0.5&#x02013;2]</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">- <italic>Cognitive function</italic></td>
<td valign="top" align="center">1 [0&#x02013;2]</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">Multiple Sclerosis Walking Scale</td>
<td valign="top" align="center">65.72 (18.60)</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">Fatigue Impact Scale</td>
<td valign="top" align="center">42.74 (22.15)</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">Walking aid for the test (yes/no)</td>
<td valign="top" align="center">7/15</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">- <italic>Cane (1 or 2)</italic></td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">- <italic>Walker</italic></td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">- <italic>Human help</italic></td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">- <italic>Cane and human help</italic></td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">-</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>Mean (SD) or median [Q1&#x02013;Q3] are given. <sup>&#x0002A;</sup>Data are missing for 2 HS subjects.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec>
<title>3.2. Construction and validity of the semiogram</title>
<sec>
<title>3.2.1. Selection of reliable parameters</title>
<p>ICC(1,1) and ICC(3,1) values and SEMs are reported in <xref ref-type="table" rid="T2">Table 2</xref> for each of the 17 parameters considered for inclusion.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Reliability of parameters tested for inclusion in the semiogram.</p></caption> 
<table frame="box" rules="all">
<thead>
<tr style="background-color:&#x00023;919498;color:&#x00023;ffffff">
<th/>
<th/>
<th valign="top" align="center" colspan="3"><bold>Intra-session</bold></th>
<th valign="top" align="center" colspan="3"><bold>Inter-session</bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:&#x00023;919498;color:&#x00023;ffffff">
<td valign="top" align="left"><bold>Criteria</bold></td>
<td valign="top" align="center"><bold>Parameter</bold></td>
<td valign="top" align="center"><bold>ICC(1,1)</bold></td>
<td valign="top" align="center"><bold>ICC(3,1)</bold></td>
<td valign="top" align="center"><bold>SEM</bold></td>
<td valign="top" align="center"><bold>ICC(1,1)</bold></td>
<td valign="top" align="center"><bold>ICC(3,1)</bold></td>
<td valign="top" align="center"><bold>SEM</bold></td>
</tr> <tr>
<td valign="top" align="left">Average speed</td>
<td valign="top" align="center">V (m/s)</td>
<td valign="top" align="center">0.97</td>
<td valign="top" align="center">0.97</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">0.96</td>
<td valign="top" align="center">0.96</td>
<td valign="top" align="center">0.01</td>
</tr> <tr>
<td valign="top" align="left">Springiness</td>
<td valign="top" align="center">StrT (s)</td>
<td valign="top" align="center">0.98</td>
<td valign="top" align="center">0.98</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">0.93</td>
<td valign="top" align="center">0.93</td>
<td valign="top" align="center">0.02</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">UtrT (s)</td>
<td valign="top" align="center">0.91</td>
<td valign="top" align="center">0.91</td>
<td valign="top" align="center">0.07</td>
<td valign="top" align="center">0.81</td>
<td valign="top" align="center">0.81</td>
<td valign="top" align="center">0.14</td>
</tr> <tr>
<td valign="top" align="left">Smoothness</td>
<td valign="top" align="center">LDLJ-A (-)</td>
<td valign="top" align="center">0.91</td>
<td valign="top" align="center">0.91</td>
<td valign="top" align="center">0.02</td>
<td valign="top" align="center">0.82</td>
<td valign="top" align="center">0.82</td>
<td valign="top" align="center">0.04</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">SPARC-G (-)</td>
<td valign="top" align="center">0.88</td>
<td valign="top" align="center">0.88</td>
<td valign="top" align="center">0.08</td>
<td valign="top" align="center">0.83</td>
<td valign="top" align="center">0.83</td>
<td valign="top" align="center">0.12</td>
</tr> <tr>
<td valign="top" align="left">Steadiness</td>
<td valign="top" align="center">CVStrT (%)</td>
<td valign="top" align="center">0.78</td>
<td valign="top" align="center">0.78</td>
<td valign="top" align="center">0.12</td>
<td valign="top" align="center">0.82</td>
<td valign="top" align="center">0.82</td>
<td valign="top" align="center">0.15</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">CVdstT (%)</td>
<td valign="top" align="center">0.49</td>
<td valign="top" align="center">0.49</td>
<td valign="top" align="center">0.15</td>
<td valign="top" align="center">0.64</td>
<td valign="top" align="center">0.64</td>
<td valign="top" align="center">0.21</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">P1aCC (-)</td>
<td valign="top" align="center">0.94</td>
<td valign="top" align="center">0.94</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">0.90</td>
<td valign="top" align="center">0.90</td>
<td valign="top" align="center">0.01</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">P2aCC (-)</td>
<td valign="top" align="center">0.88</td>
<td valign="top" align="center">0.88</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">0.87</td>
<td valign="top" align="center">0.87</td>
<td valign="top" align="center">0.01</td>
</tr> <tr>
<td valign="top" align="left">Sturdiness</td>
<td valign="top" align="center">SteL (m)</td>
<td valign="top" align="center">0.96</td>
<td valign="top" align="center">0.96</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">0.95</td>
<td valign="top" align="center">0.95</td>
<td valign="top" align="center">0.01</td>
</tr> <tr>
<td valign="top" align="left">Stability</td>
<td valign="top" align="center">RMS<sub><italic>aML</italic></sub> (m/s<sup>2</sup>)</td>
<td valign="top" align="center">0.95</td>
<td valign="top" align="center">0.95</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">0.90</td>
<td valign="top" align="center">0.90</td>
<td valign="top" align="center">0.02</td>
</tr> <tr>
<td valign="top" align="left">Symmetry</td>
<td valign="top" align="center">iHR<sub><italic>aAP</italic></sub> (%)</td>
<td valign="top" align="center">0.97</td>
<td valign="top" align="center">0.97</td>
<td valign="top" align="center">0.25</td>
<td valign="top" align="center">0.93</td>
<td valign="top" align="center">0.93</td>
<td valign="top" align="center">0.53</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">iHR<sub><italic>aML</italic></sub> (%)</td>
<td valign="top" align="center">0.95</td>
<td valign="top" align="center">0.95</td>
<td valign="top" align="center">0.22</td>
<td valign="top" align="center">0.86</td>
<td valign="top" align="center">0.86</td>
<td valign="top" align="center">0.46</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">iHR<sub><italic>aCC</italic></sub> (%)</td>
<td valign="top" align="center">0.97</td>
<td valign="top" align="center">0.97</td>
<td valign="top" align="center">0.20</td>
<td valign="top" align="center">0.90</td>
<td valign="top" align="center">0.90</td>
<td valign="top" align="center">0.59</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">P1P2<sub><italic>aCC</italic></sub> (-)</td>
<td valign="top" align="center">0.56</td>
<td valign="top" align="center">0.56</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">0.53</td>
<td valign="top" align="center">0.53</td>
<td valign="top" align="center">0.02</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">swT<sub><italic>r</italic></sub> (-)</td>
<td valign="top" align="center">0.71</td>
<td valign="top" align="center">0.71</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">0.72</td>
<td valign="top" align="center">0.72</td>
<td valign="top" align="center">0.00</td>
</tr> <tr>
<td valign="top" align="left">Synchronization</td>
<td valign="top" align="center">dstT (%)</td>
<td valign="top" align="center">0.96</td>
<td valign="top" align="center">0.96</td>
<td valign="top" align="center">0.19</td>
<td valign="top" align="center">0.94</td>
<td valign="top" align="center">0.94</td>
<td valign="top" align="center">0.38</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>Intraclass correlation coefficients [ICC(1,1) and ICC(3,1)] provide measures of relative reliability and standard error of the mean (SEM) values provide measures of absolute reliability.</p>
</table-wrap-foot>
</table-wrap>
<p>All parameters showed moderate to very high agreement (ICC &#x02265; 0.4) and were therefore included in the final score for the semiogram. Included parameters and corresponding criteria are illustrated in <xref ref-type="fig" rid="F2">Figure 2A</xref>.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Description of a semiogram. <bold>(A)</bold> Criteria and parameters that make up the semiogram. <bold>(B)</bold> Computation of the semiogram after the recording of gait signals. V, velocity; SteL, step length; StrT, stride time; UtrT, U-turn time; LDLJ-A, log-dimensionless jerk computed from the trunk acceleration; SPARC-G, spectral arc length computed from the trunk gyration; CVStrT, coefficient of variation of the stride time; CVdstT, coefficient of variation of the double stance time; P1aCC, step autocorrelation coefficient of the trunk craniocaudal acceleration; P2aCC, stride autocorrelation coefficient of the trunk craniocaudal acceleration; RMSaML, root mean square of the trunk mediolateral acceleration; iHRaAP, improved harmonic ratio of the trunk anteroposterior acceleration; iHRaML, improved harmonic ratio of the trunk mediolateral acceleration; iHRaCC, improved harmonic ratio of the trunk craniocaudal acceleration; P1P2aCC, ratio P1 to P2; swTr, ratio of left and right swing times; dsT, double stance time.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fneur-14-1237162-g0002.tif"/>
</fig>
</sec>
<sec>
<title>3.2.2. Normative data from the reference group</title>
<p>For each of the 17 selected qualitative parameters, the mean and SD were computed for the reference group of 19 HS participants by using the whole set of trials (two trials for each participant at each visit, i.e., six trials per HS participant). The results are displayed in <xref ref-type="table" rid="T3">Table 3</xref>.</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Mean, SD, and z-coefficient for included gait features for the reference group of 19 HS (six trials per participant, except for two participants without data at 12 months), for a total of 110 trials.</p></caption> 
<table frame="box" rules="all">
<thead>
<tr style="background-color:&#x00023;919498;color:&#x00023;ffffff">
<th valign="top" align="left"><bold>Criteria</bold></th>
<th valign="top" align="center"><bold>Parameter</bold></th>
<th valign="top" align="center"><bold>Mean</bold></th>
<th valign="top" align="center"><bold>SD</bold></th>
<th valign="top" align="center"><bold><italic>Z</italic>-coefficient</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Average speed</td>
<td valign="top" align="center">V (m/s)</td>
<td valign="top" align="center">1.22</td>
<td valign="top" align="center">0.20</td>
<td valign="top" align="center">&#x0002B;</td>
</tr> <tr>
<td valign="top" align="left">Springiness</td>
<td valign="top" align="center">StrT (s)</td>
<td valign="top" align="center">1.10</td>
<td valign="top" align="center">0.09</td>
<td valign="top" align="center">-</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">UtrT (s)</td>
<td valign="top" align="center">2.62</td>
<td valign="top" align="center">0.75</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">Smoothness</td>
<td valign="top" align="center">LDLJ-A (-)</td>
<td valign="top" align="center">&#x02013;8.07</td>
<td valign="top" align="center">0.35</td>
<td valign="top" align="center">&#x0002B;</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">SPARC-G (-)</td>
<td valign="top" align="center">&#x02013;5.37</td>
<td valign="top" align="center">0.84</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">Steadiness</td>
<td valign="top" align="center">CVStrT (%)</td>
<td valign="top" align="center">2.34</td>
<td valign="top" align="center">0.97</td>
<td valign="top" align="center">-</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">CVdstT (%)</td>
<td valign="top" align="center">5.63</td>
<td valign="top" align="center">2.07</td>
<td valign="top" align="center">-</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">P1aCC (-)</td>
<td valign="top" align="center">0.82</td>
<td valign="top" align="center">0.10</td>
<td valign="top" align="center">&#x0002B;</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">P2aCC (-)</td>
<td valign="top" align="center">0.82</td>
<td valign="top" align="center">0.10</td>
<td valign="top" align="center">&#x0002B;</td>
</tr> <tr>
<td valign="top" align="left">Sturdiness</td>
<td valign="top" align="center">SteL (m)</td>
<td valign="top" align="center">0.68</td>
<td valign="top" align="center">0.08</td>
<td valign="top" align="center">&#x0002B;</td>
</tr> <tr>
<td valign="top" align="left">Stability</td>
<td valign="top" align="center">RMS<sub><italic>aML</italic></sub> (m/s<sup>2</sup>)</td>
<td valign="top" align="center">1.28</td>
<td valign="top" align="center">0.33</td>
<td valign="top" align="center">-</td>
</tr> <tr>
<td valign="top" align="left">Symmetry</td>
<td valign="top" align="center">iHR<sub><italic>aAP</italic></sub> (%)</td>
<td valign="top" align="center">95.48</td>
<td valign="top" align="center">2.13</td>
<td valign="top" align="center">&#x0002B;</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">iHR<sub><italic>aCC</italic></sub> (%)</td>
<td valign="top" align="center">94.88</td>
<td valign="top" align="center">3.10</td>
<td valign="top" align="center">&#x0002B;</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">iHR<sub><italic>aML</italic></sub> (%)</td>
<td valign="top" align="center">86.77</td>
<td valign="top" align="center">6.32</td>
<td valign="top" align="center">&#x0002B;</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">P1P2<sub><italic>aCC</italic></sub> (-)</td>
<td valign="top" align="center">0.96</td>
<td valign="top" align="center">0.04</td>
<td valign="top" align="center">&#x0002B;</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">swT<sub><italic>r</italic></sub> (-)</td>
<td valign="top" align="center">0.96</td>
<td valign="top" align="center">0.03</td>
<td valign="top" align="center">&#x0002B;</td>
</tr> <tr>
<td valign="top" align="left">Synchronization</td>
<td valign="top" align="center">dstT (%)</td>
<td valign="top" align="center">23.34</td>
<td valign="top" align="center">3.50</td>
<td valign="top" align="center">-</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>For the z-coefficient, &#x0002B; and - respectively corresponds to 1 or - 1, and indicate whether an increase in the parameter is considered beneficial or pathological.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec>
<title>3.2.3. Construction of the semiogram</title>
<p>The process for constructing the semiogram given the included parameters is outlined in <xref ref-type="fig" rid="F2">Figure 2B</xref>. All stages of the construction, from the signal to the final radar plot, are schematized in <xref ref-type="fig" rid="F3">Figure 3</xref>.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>Method that drove the conception of the semiogram. The featured semiogram is an example of an individual with altered gait along several criteria (EDSS = 6).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fneur-14-1237162-g0003.tif"/>
</fig>
</sec>
</sec>
<sec>
<title>3.3. Validity of the semiogram</title>
<sec>
<title>3.3.1. Intra-session test-retest of criteria scores for HS and pMS participants</title>
<p>Measures of intra-session relative reliability are plotted in <xref ref-type="fig" rid="F4">Figure 4</xref>, with distinct ICCs computed for HS and pMS participants. In the HS group, we observed excellent degrees of the intra-session agreement for speed and all qualitative criteria except steadiness and smoothness, which were moderate. A low SEM (steadiness: 0.06 z-score; smoothness: 0.05 z-score) indicates that the small range might be partly causing the low ICC. In the pMS group, speed and all qualitative criteria showed very high test&#x02013;retest relative reliability, without exception. The detailed results for each parameter are provided in <xref ref-type="supplementary-material" rid="SM1">Supplementary material 1</xref>.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>Intra-session intraclass correlation coefficients (ICCs). For speed <bold>(A)</bold> and the seven criteria for the semiogram: sturdiness <bold>(B)</bold>, springiness <bold>(C)</bold>, steadiness <bold>(D)</bold>, stability <bold>(E)</bold>, smoothness <bold>(F)</bold>, synchronization <bold>(G)</bold>, and symmetry <bold>(H)</bold>. ICCs are reported for the two populations separately: progressive multiple sclerosis (pMS) and healthy subjects (HS). ICC(1,1) supposes that subject variability is due to measurement error.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fneur-14-1237162-g0004.tif"/>
</fig>
</sec>
<sec>
<title>3.3.2. Inter-session test&#x02013;retest for HS and pMS participants</title>
<p>Measures of inter-session relative reliability between M0 and M6 were also computed for criteria (<xref ref-type="supplementary-material" rid="SM1">Supplementary material 2</xref>), with distinct ICCs computed for HS and pMS participants. In the HS group, ICCs were excellent or moderate, except one low but close to 0.4 for smoothness. All criteria showed very high reliability for the pMS group. The detailed results for each parameter are provided in <xref ref-type="supplementary-material" rid="SM1">Supplementary material 3</xref>.</p>
</sec>
<sec>
<title>3.3.3. Correlation between the parameters</title>
<p>Within each criterion, the correlations between parameters were always &#x0003E;0.3. No parameters were excluded at this validation stage.</p>
</sec>
</sec>
<sec>
<title>3.4. Difference between pMS and HS</title>
<p>When comparing pMS and HS participants, speed and all criteria but stability significantly differed (<italic>p</italic> &#x02264; 0.0001). Results are displayed in <xref ref-type="fig" rid="F5">Figure 5</xref>. The detailed results for each parameter are provided in <xref ref-type="supplementary-material" rid="SM1">Supplementary material 4</xref>.</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p>Difference in speed and each criterion of the semiogram between the two populations (HS and pMS). For speed <bold>(A)</bold> and the seven criteria for the semiogram: sturdiness <bold>(B)</bold>, springiness <bold>(C)</bold>, steadiness <bold>(D)</bold>, stability <bold>(E)</bold>, smoothness <bold>(F)</bold>, synchronization <bold>(G)</bold>, and symmetry <bold>(H)</bold>. All tests of the participants are included in the analysis. The <italic>p</italic>-value from the Wilcoxon test is reported.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fneur-14-1237162-g0005.tif"/>
</fig>
</sec>
<sec>
<title>3.5. Use for longitudinal follow-up of pMS</title>
<sec>
<title>3.5.1. Correlation with disease global severity (EDSS, MSWS)</title>
<p>All the semiogram criteria were highly correlated to the validated general severity EDSS score. The subjective questionnaire score (MSWS) was moderately correlated with speed, springiness, smoothness, and steadiness, and was independent of the four other criteria (<xref ref-type="table" rid="T4">Table 4</xref>).</p>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>Correlation coefficients for the semiogram criteria with the EDSS and MSWS scores.</p></caption> 
<table frame="box" rules="all">
<thead>
<tr style="background-color:&#x00023;919498;color:&#x00023;ffffff">
<th/>
<th valign="top" align="center" colspan="2"><bold>MSWS</bold></th>
<th valign="top" align="center" colspan="2"><bold>EDSS</bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:&#x00023;919498;color:&#x00023;ffffff">
<td/>
<td valign="top" align="center"><bold>r</bold></td>
<td valign="top" align="center"><italic><bold>p-value</bold></italic></td>
<td valign="top" align="center"><bold>r</bold></td>
<td valign="top" align="center"><italic><bold>p-value</bold></italic></td>
</tr> <tr>
<td valign="top" align="left">Speed</td>
<td valign="top" align="center">&#x02013;0.18</td>
<td valign="top" align="center"><bold>0.024</bold></td>
<td valign="top" align="center">&#x02013;0.74</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
</tr> <tr>
<td valign="top" align="left">Springiness</td>
<td valign="top" align="center">&#x02013;0.20</td>
<td valign="top" align="center"><bold>0.012</bold></td>
<td valign="top" align="center">&#x02013;0.50</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
</tr> <tr>
<td valign="top" align="left">Smoothness</td>
<td valign="top" align="center">&#x02013;0.24</td>
<td valign="top" align="center"><bold>0.003</bold></td>
<td valign="top" align="center">&#x02013;0.63</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
</tr> <tr>
<td valign="top" align="left">Steadiness</td>
<td valign="top" align="center">&#x02013;0.18</td>
<td valign="top" align="center"><bold>0.026</bold></td>
<td valign="top" align="center">&#x02013;0.59</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
</tr> <tr>
<td valign="top" align="left">Sturdiness</td>
<td valign="top" align="center">&#x02013;0.15</td>
<td valign="top" align="center">0.062</td>
<td valign="top" align="center">&#x02013;0.70</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
</tr> <tr>
<td valign="top" align="left">Stability</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">0.987</td>
<td valign="top" align="center">0.33</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
</tr> <tr>
<td valign="top" align="left">Symmetry</td>
<td valign="top" align="center">0.03</td>
<td valign="top" align="center">0.727</td>
<td valign="top" align="center">&#x02013;0.44</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
</tr> <tr>
<td valign="top" align="left">Synchro</td>
<td valign="top" align="center">&#x02013;0.05</td>
<td valign="top" align="center">0.543</td>
<td valign="top" align="center">&#x02013;0.63</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>Significant correlations appear in bold type.</p>
</table-wrap-foot>
</table-wrap>
<p>Examples of a semiogram for an individual with severe disease (EDSS 6.0) and less severe disease (EDSS 3.5) and an HS are given in <xref ref-type="fig" rid="F6">Figure 6</xref>.</p>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p>Representative examples of semiograms for two trials for three individuals. <bold>(A)</bold> pMS patient with severe disease (EDSS 6.0). <bold>(B)</bold> pMS patient with less severe disease (EDSS 3.5). <bold>(C)</bold> Healthy subject. The dashed black line represents the normative values (0 EDSS scores). Colored plain lines represent the arithmetic average of the two tests, and colored areas represent the extreme values of the session.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fneur-14-1237162-g0006.tif"/>
</fig>
</sec>
<sec>
<title>3.5.2. A window into the functional status of the disease: correlation with functional status scores</title>
<p>All criteria were moderately to strongly associated with the Pyramidal FS (positive association for stability and negative for the others; <xref ref-type="table" rid="T5">Table 5</xref>). Cerebellar alterations were also positively correlated with stability and negatively correlated with all other criteria except symmetry. Sensitive lesions were associated with altered symmetry and improved stability. The bulbar sub-score was associated with altered speed, synchronization, and sturdiness. The cognitive sub-score was associated with altered speed, smoothness, steadiness, and sturdiness.</p>
<table-wrap position="float" id="T5">
<label>Table 5</label>
<caption><p>Correlation coefficients for the semiogram criteria with the functional sub-scores.</p></caption> 
<table frame="box" rules="all">
<thead>
<tr style="background-color:&#x00023;919498;color:&#x00023;ffffff">
<th/>
<th valign="top" align="center" colspan="10"><bold>EDSS</bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:&#x00023;919498;color:&#x00023;ffffff">
<td/>
<td valign="top" align="center" colspan="2"><bold>Pyramidal</bold></td>
<td valign="top" align="center" colspan="2"><bold>Cerebellar</bold></td>
<td valign="top" align="center" colspan="2"><bold>Sensitive</bold></td>
<td valign="top" align="center" colspan="2"><bold>Bulbar</bold></td>
<td valign="top" align="center" colspan="2"><bold>Cognitive</bold></td>
</tr>
 <tr style="background-color:&#x00023;919498;color:&#x00023;ffffff">
<td/>
<td valign="top" align="center"><bold>r</bold></td>
<td valign="top" align="center"><italic><bold>p-value</bold></italic></td>
<td valign="top" align="center"><bold>r</bold></td>
<td valign="top" align="center"><italic><bold>p-value</bold></italic></td>
<td valign="top" align="center"><bold>r</bold></td>
<td valign="top" align="center"><italic><bold>p-value</bold></italic></td>
<td valign="top" align="center"><bold>r</bold></td>
<td valign="top" align="center"><italic><bold>p-value</bold></italic></td>
<td valign="top" align="center"><bold>r</bold></td>
<td valign="top" align="center"><italic><bold>p-value</bold></italic></td>
</tr> <tr>
<td valign="top" align="left">Speed</td>
<td valign="top" align="center">&#x02013;0.64</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
<td valign="top" align="center">&#x02013;0.52</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
<td valign="top" align="center">&#x02013;0.11</td>
<td valign="top" align="center">0.182</td>
<td valign="top" align="center">&#x02013;0.24</td>
<td valign="top" align="center"><bold>0.006</bold></td>
<td valign="top" align="center">&#x02013;0.33</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
</tr> <tr>
<td valign="top" align="left">Springiness</td>
<td valign="top" align="center">&#x02013;0.52</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
<td valign="top" align="center">&#x02013;0.16</td>
<td valign="top" align="center">0.068</td>
<td valign="top" align="center">&#x02013;0.10</td>
<td valign="top" align="center">0.241</td>
<td valign="top" align="center">&#x02013;0.09</td>
<td valign="top" align="center">0.307</td>
<td valign="top" align="center">&#x02013;0.10</td>
<td valign="top" align="center">0.229</td>
</tr> <tr>
<td valign="top" align="left">Smoothness</td>
<td valign="top" align="center">&#x02013;0.52</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
<td valign="top" align="center">&#x02013;0.33</td>
<td valign="top" align="center"><bold>0.001</bold></td>
<td valign="top" align="center">&#x02013;0.05</td>
<td valign="top" align="center">0.597</td>
<td valign="top" align="center">&#x02013;0.09</td>
<td valign="top" align="center">0.312</td>
<td valign="top" align="center">&#x02013;0.18</td>
<td valign="top" align="center"><bold>0.038</bold></td>
</tr> <tr>
<td valign="top" align="left">Steadiness</td>
<td valign="top" align="center">&#x02013;0.39</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
<td valign="top" align="center">&#x02013;0.37</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
<td valign="top" align="center">0.10</td>
<td valign="top" align="center">0.233</td>
<td valign="top" align="center">&#x02013;0.07</td>
<td valign="top" align="center">0.451</td>
<td valign="top" align="center">&#x02013;0.40</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
</tr> <tr>
<td valign="top" align="left">Sturdiness</td>
<td valign="top" align="center">&#x02013;0.56</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
<td valign="top" align="center">&#x02013;0.53</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
<td valign="top" align="center">&#x02013;0.04</td>
<td valign="top" align="center">0.657</td>
<td valign="top" align="center">&#x02013;0.23</td>
<td valign="top" align="center"><bold>0.007</bold></td>
<td valign="top" align="center">&#x02013;0.41</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
</tr> <tr>
<td valign="top" align="left">Stability</td>
<td valign="top" align="center">0.44</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
<td valign="top" align="center">0.34</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
<td valign="top" align="center">0.31</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
<td valign="top" align="center">0.13</td>
<td valign="top" align="center">0.139</td>
<td valign="top" align="center">&#x02013;0.01</td>
<td valign="top" align="center">0.907</td>
</tr> <tr>
<td valign="top" align="left">Symmetry</td>
<td valign="top" align="center">&#x02013;0.24</td>
<td valign="top" align="center"><bold>0.004</bold></td>
<td valign="top" align="center">&#x02013;0.04</td>
<td valign="top" align="center">0.670</td>
<td valign="top" align="center">0.23</td>
<td valign="top" align="center"><bold>0.005</bold></td>
<td valign="top" align="center">&#x02013;0.08</td>
<td valign="top" align="center">0.363</td>
<td valign="top" align="center">&#x02013;0.05</td>
<td valign="top" align="center">0.589</td>
</tr> <tr>
<td valign="top" align="left">Synchro</td>
<td valign="top" align="center">&#x02013;0.64</td>
<td valign="top" align="center"><bold>&#x02264;0.001</bold></td>
<td valign="top" align="center">&#x02013;0.27</td>
<td valign="top" align="center"><bold>0.001</bold></td>
<td valign="top" align="center">&#x02013;0.13</td>
<td valign="top" align="center">0.136</td>
<td valign="top" align="center">&#x02013;0.21</td>
<td valign="top" align="center"><bold>0.015</bold></td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">0.914</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>Significant correlations appear in bold type.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec>
<title>3.5.3. An example of longitudinal follow-up</title>
<p>The longitudinal follow-up over an 18-month period is illustrated in <xref ref-type="fig" rid="F7">Figure 7</xref> for an individual with a high disability. The EDSS at inclusion was 6.0 and remained at that level at month 6. It then increased to 6.5 at month 12. At month 18, the EDSS was again 6.5. A qualitative analysis of semiograms at different times shows that the individual displayed higher differences than the norm at months 12 and 18 (<xref ref-type="fig" rid="F7">Figures 7C</xref>, <xref ref-type="fig" rid="F7">D</xref>) as compared with months 0 and 6 (<xref ref-type="fig" rid="F7">Figures 7A</xref>, <xref ref-type="fig" rid="F7">B</xref>).</p>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p>Repeated semiograms for follow-up over an 18-month period for an individual with high disability. <bold>(A)</bold> Measures at inclusion (M0): EDSS 6.0. <bold>(B)</bold> Measures after 6 months (M6): EDSS 6.0. <bold>(C)</bold> Measures after 12 months (M12): EDSS 6.5. <bold>(D)</bold> Measures after 18 months (M18): EDSS 6.5. The dashed black line represents the normative values (0 EDSS scores). Colored plain lines represent the arithmetic average of the two tests, and colored areas represent the extreme values of the session.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fneur-14-1237162-g0007.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4. Discussion</title>
<p>In the present study, we introduce the semiogram, a novel multidimensional approach for automated assessment and visualization of gait in routine neurological practice. The main objective of this concentric sector chart is to allow physicians to quantitatively assess the semiological characteristics of their patients&#x00027; gait in relation to the general population and to track the evolution of each criterion throughout the pathology. Each branch of the chart represents a semiological criterion of the patient&#x00027;s gait, such as springiness, smoothness, steadiness, sturdiness, stability, symmetry, or synchronization. Average speed, which is recognized in the literature as a global gait parameter (<xref ref-type="bibr" rid="B7">7</xref>), influences the resulting color of the chart.</p>
<p>The semiogram is suitable for clinical practice. It is based on the use of three easily deployable IMUs in a short-distance test and does not require any specific space or platform. Even if using a short walking test may reduce the robustness of some parameters, they are commonly used in clinical practice as they are more practical and easier to conduct (<xref ref-type="bibr" rid="B7">7</xref>), particularly for individuals with severe pMS who may find longer walking tests difficult to complete. It has also been found that uninterrupted walking for more than 2 min is not common in real-life situations (<xref ref-type="bibr" rid="B43">43</xref>). Moreover, a correlation exists between the gait assessed in the laboratory and the daily ambulation (<xref ref-type="bibr" rid="B17">17</xref>). Most parameters of the semiogram require a walking event segmentation algorithm. To obtain a tool deployable in routine clinical practice, this segmentation should be automated without manual review, which remains a challenge in gait quantification. Detecting highly degraded steps, such as those in our cohort, is often difficult with conventional algorithms and requires a previously validated algorithm (<xref ref-type="bibr" rid="B27">27</xref>). Finally, the visual interpretation of the semiogram and the ability to overlay examinations from multiple months apart provide valuable assistance to clinicians in the quantitative analysis of gait data.</p>
<p>The semiogram is a reproducible tool, consistent with the semiological and clinical descriptions of gait in the literature. Indeed, the originality of our study lies in the selection of potential parameters based on a systematic literature review and their clinical application in patients with pMS (<xref ref-type="bibr" rid="B7">7</xref>), which enhances the external validity of our approach. Even if the initial literature review only included 78 studies due to quality selection issues (<xref ref-type="bibr" rid="B7">7</xref>), we updated it with a permanent bibliographic survey. We then included the parameters more recently appeared, in particular in the case of smoothness for which there was a consequent number of publications (<xref ref-type="bibr" rid="B29">29</xref>). For both HS and pMS cohorts, the intra-session test-retest agreement is moderate to very high for all included parameters and criteria (<xref ref-type="table" rid="T2">Table 2</xref>), which demonstrates the reproducibility of the measurements under the conditions of the 10-m walking test. Inter-session test-retest agreement is also moderate to very high comparing M0 and M6 (<xref ref-type="table" rid="T2">Table 2</xref>), thus validating the use of the semiogram for bi-annual visits, which is a frequent practice in neurological care. Previous research has also investigated other multidimensional gait scores in a free-living environment (<xref ref-type="bibr" rid="B44">44</xref>, <xref ref-type="bibr" rid="B45">45</xref>) or in a clinical environment, such as the study of Mansour et al., who developed a multifeatured gait score and evaluated it in an older population (<xref ref-type="bibr" rid="B40">40</xref>). Several differences from this score enhance the relevance of our multidimensional score. In our study, the gait criteria are based on clinical standards (<xref ref-type="bibr" rid="B46">46</xref>) and therefore follow closely the clinical evaluation currently done in routine practice. Unlike the multi-feature gait score proposed by Mansour et al., we evaluate the reliability of each parameter separately before inclusion and do not eliminate redundancy in our semiogram. Beyond the difference in method regarding the selection of parameters and their categorization into different criteria, it is important to note that the internal validity, assessed through the reproducibility of measurements, is similar in both studies, based on similar walking tests.</p>
<p>The semiogram is clinically relevant. On a macroscopic level, it differentiates indeed pathological participants from healthy subjects. The evaluation of parameters and criteria consistently shows a significant distinction between the two cohorts in all instances, except for stability. Specifically, pMS individuals exhibited shorter steps (lower sturdiness), lower cadence and higher U-turn time (lower springiness), higher variability (lower steadiness), higher perturbations within their walk (lower smoothness), higher double stance time (lower synchronization between right and left cycle), and more asymmetrical behavior (lower symmetry) than HS individuals. At a more granular level, the semiogram off ers valuable insights into disease severity and functional status of patients. In terms of disease global severity scores, the objective EDSS test exhibits a highly significant negative correlation with all criteria of the semiogram, except for stability. This finding aligns with the majority of studies and meta-analyses that have explored parameters such as velocity, step length, and average step duration, which are widely investigated in the field (<xref ref-type="bibr" rid="B16">16</xref>, <xref ref-type="bibr" rid="B47">47</xref>, <xref ref-type="bibr" rid="B48">48</xref>). These observations are also in line with the results obtained with more global approaches used to analyze the signal obtained with IMUs (<xref ref-type="bibr" rid="B49">49</xref>). Other parameters that necessitate precise segmentation of walking events have received less attention in research. Concerning stability, it is observed to increase with disease severity. This phenomenon has been previously attributed to decreased walking speed in severe diseases, an increase of double stance time, and a reduction in swing phase amplitude (<xref ref-type="bibr" rid="B50">50</xref>). In our study, only one parameter is used for stability assessment, the mediolateral root mean square. Recent studies have described other parameters that accurately reflect stability in neurological pathologies, such as the local divergence exponent (<xref ref-type="bibr" rid="B51">51</xref>). This parameter could be investigated to confirm if the trend holds true. According to the existing literature, the MSWS, which provides a subjective assessment of the patient&#x00027;s disease activity, seems to exhibit a weaker correlation with gait deterioration than EDSS (<xref ref-type="bibr" rid="B16">16</xref>). However, some studies emphasize that because being based on the patient&#x00027;s perception, the MSWS test may actually be more effective than objective scores in detecting significant gait deterioration (<xref ref-type="bibr" rid="B52">52</xref>). However, due to the limited sample size, we are unable to examine whether the semiogram can effectively monitor changes over time. The statistical power is insufficient, as only four out of 22 participants with pMS experienced a 1-point or greater change in their EDSS status during the follow-up period. To overcome this limitation, future studies should involve a larger sample size and a longer follow-up duration to provide more robust findings. Regarding functional status, the results confirm that pyramidal and cerebellar disorders are the primary contributors to gait degradation in the pMS cohort (<xref ref-type="bibr" rid="B11">11</xref>). Furthermore, various gait features have been identified as capable of distinguishing between individuals with pMS who exhibit predominant pyramidal dysfunctions and those with predominant cerebellar dysfunctions. For instance, individuals with pyramidal dysfunctions demonstrated significantly lower cadence, longer double stance time, and more asymmetrical gait compared to those with cerebellar dysfunctions (<xref ref-type="bibr" rid="B53">53</xref>). The semiogram enables the decomposition of gait analysis and facilitates the identification of associations between criteria and functional impairments. Our study revealed that reduced springiness and symmetry were specifically associated with pyramidal dysfunction rather than cerebellar tract disorders, which aligns with previous research findings (<xref ref-type="bibr" rid="B11">11</xref>). These findings highlight the importance of considering the specific type of dysfunction when assessing gait in pMS patients.</p>
<p>Another advantage of the semiogram relies on its capacity to integrate multiple validated parameters, enabling a comprehensive and sensitive analysis of gait. This approach ensures that each criterion is captured as accurately as possible. In our study, the construction of the semiogram is based on parameters commonly utilized in neurological disorders, rather than being specific to pMS (<xref ref-type="bibr" rid="B29">29</xref>, <xref ref-type="bibr" rid="B30">30</xref>, <xref ref-type="bibr" rid="B34">34</xref>, <xref ref-type="bibr" rid="B54">54</xref>). Therefore, the applicability of this method can be readily extended to other neurological disorders by conducting a subsequent literature search. This approach eliminates the limitations associated with relying solely on a single parameter and allows for a more comprehensive assessment of gait across various neurological conditions (<xref ref-type="bibr" rid="B55">55</xref>). Another concern is the resolution of the semiogram. We have used one standard deviation (SD). However, it should be noted that the z-scores of the various parameters represented can be decimal numbers. Furthermore, Bohannon et al. have indicated that even small changes in gait parameters can have clinical significance (<xref ref-type="bibr" rid="B56">56</xref>). Interpretation of the semiogram and its correlation with the clinic is therefore variable, and depends in particular on the alteration in gait and the pathology being studied. It can therefore only be conceived in conjunction with the examination of the patient, and the resolution could be adapted to different patient cohorts. Indeed, further validation in other patient cohorts such as those with Parkinson&#x00027;s disease, Alzheimer&#x00027;s disease, cerebellar ataxia, and stroke, as reviewed by Vienne et al. (<xref ref-type="bibr" rid="B7">7</xref>), would be valuable. By applying the semiogram method to these different neurological conditions, we may assess its effectiveness and generalizability, expanding its utility beyond the specific context of progressive multiple sclerosis.</p>
</sec>
<sec sec-type="conclusions" id="s5">
<title>5. Conclusion</title>
<p>The wearable technology discussed in this study offers an innovative way to collect and visualize objective and quantitative data on mobility that was not previously available in a clinical setting. This technology has the potential to serve as an important outcome measure for evaluating mobility impairment in individuals with pMS. Furthermore, the use of evidence-based criteria and the semiogram visualization provides a quick and comprehensive assessment of gait that can be incorporated into clinical practice. The radar plot visualization may also aid both patients and clinicians in tracking disease progression over time.</p>
</sec>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The healthy subjects dataset and the online demonstration of the semiogram are accessible at the following address: <ext-link ext-link-type="uri" xlink:href="https://www.ipol.im/">https://www.ipol.im/</ext-link>.</p>
</sec>
<sec sec-type="ethics-statement" id="s7">
<title>Ethics statement</title>
<p>The studies involving humans were approved by Protection des Personnes Nord Ouest III (ID RCB: 2017-A01538-45). 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 sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>CV and NE conceived the study, participated in the analysis, and wrote the manuscript. AV-J, AM, and FQ conceived the study and participated in the data acquisition. FB, MS, M-LB, IT, CT, and ED participated in the data acquisition. DR conceived the study, participated in the data acquisition, and edited the manuscript. LO conceived the study and edited the manuscript. All authors contributed to the refinement of the study protocol and approved the final manuscript.</p>
</sec>
</body>
<back>
<ack><p>This work was realized with grants from the IRME (Institut pour la Recherche sur la Moelle &#x000E9;pini&#x000E8;re et l&#x00027;Enc&#x000E9;phale).</p>
</ack>
<sec sec-type="COI-statement" id="conf1">
<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="s9">
<title>Publisher&#x00027;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="s10">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fneur.2023.1237162/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fneur.2023.1237162/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.PDF" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<label>1.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bethoux</surname> <given-names>F</given-names></name> <name><surname>Bennett</surname> <given-names>S</given-names></name></person-group>. <article-title>Evaluating walking in patients with multiple sclerosis: which assessment tools are useful in clinical practice?</article-title> <source>Int J MS Care</source>. (<year>2011</year>) <volume>13</volume>:<fpage>4</fpage>&#x02013;<lpage>14</lpage>. <pub-id pub-id-type="doi">10.7224/1537-2073-13.1.4</pub-id><pub-id pub-id-type="pmid">24453700</pub-id></citation></ref>
<ref id="B2">
<label>2.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Heesen</surname> <given-names>C</given-names></name> <name><surname>B&#x000F6;hm</surname> <given-names>J</given-names></name> <name><surname>Reich</surname> <given-names>C</given-names></name> <name><surname>Kasper</surname> <given-names>J</given-names></name> <name><surname>Goebel</surname> <given-names>M</given-names></name> <name><surname>Gold</surname> <given-names>SM</given-names></name></person-group>. <article-title>Patient perception of bodily functions in multiple sclerosis: gait and visual function are the most valuable</article-title>. <source>Mult Scler</source>. (<year>2008</year>) <volume>14</volume>:<fpage>988</fpage>&#x02013;<lpage>91</lpage>. <pub-id pub-id-type="doi">10.1177/1352458508088916</pub-id><pub-id pub-id-type="pmid">18505775</pub-id></citation></ref>
<ref id="B3">
<label>3.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Meyer-Moock</surname> <given-names>S</given-names></name> <name><surname>Feng</surname> <given-names>YS</given-names></name> <name><surname>Maeurer</surname> <given-names>M</given-names></name> <name><surname>Dippel</surname> <given-names>FW</given-names></name> <name><surname>Kohlmann</surname> <given-names>T</given-names></name></person-group>. <article-title>Systematic literature review and validity evaluation of the Expanded Disability Status Scale (EDSS) and the Multiple Sclerosis Functional Composite (MSFC) in patients with multiple sclerosis</article-title>. <source>BMC Neurol</source>. (<year>2014</year>) <volume>14</volume>:<fpage>58</fpage>. <pub-id pub-id-type="doi">10.1186/1471-2377-14-58</pub-id><pub-id pub-id-type="pmid">24666846</pub-id></citation></ref>
<ref id="B4">
<label>4.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Noseworthy</surname> <given-names>JH</given-names></name> <name><surname>Vandervoort</surname> <given-names>MK</given-names></name> <name><surname>Wong</surname> <given-names>CJ</given-names></name> <name><surname>Ebers</surname> <given-names>GC</given-names></name></person-group>. <article-title>Interrater variability with the Expanded Disability Status Scale (EDSS) and Functional Systems (FS) in a multiple sclerosis clinical trial. The Canadian Cooperation MS Study Group</article-title>. <source>Neurology</source>. (<year>1990</year>) <volume>40</volume>:<fpage>971</fpage>&#x02013;<lpage>5</lpage>.<pub-id pub-id-type="pmid">2189084</pub-id></citation></ref>
<ref id="B5">
<label>5.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kieseier</surname> <given-names>BC</given-names></name> <name><surname>Pozzilli</surname> <given-names>C</given-names></name></person-group>. <article-title>Assessing walking disability in multiple sclerosis</article-title>. <source>Mult Scler</source>. (<year>2012</year>) <volume>18</volume>:<fpage>914</fpage>&#x02013;<lpage>24</lpage>. <pub-id pub-id-type="doi">10.1177/1352458512444498</pub-id><pub-id pub-id-type="pmid">22740603</pub-id></citation></ref>
<ref id="B6">
<label>6.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kyte</surname> <given-names>DG</given-names></name> <name><surname>Draper</surname> <given-names>H</given-names></name> <name><surname>Ives</surname> <given-names>J</given-names></name> <name><surname>Liles</surname> <given-names>C</given-names></name> <name><surname>Gheorghe</surname> <given-names>A</given-names></name> <name><surname>Calvert</surname> <given-names>M</given-names></name></person-group>. <article-title>Patient reported outcomes (PROs) in clinical trials: is &#x0201C;in-trial&#x0201D; guidance lacking? A systematic review</article-title>. <source>PLoS ONE</source>. (<year>2013</year>) <volume>8</volume>:<fpage>60684</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0060684</pub-id><pub-id pub-id-type="pmid">23560103</pub-id></citation></ref>
<ref id="B7">
<label>7.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Vienne</surname> <given-names>A</given-names></name> <name><surname>Barrois</surname> <given-names>RP</given-names></name> <name><surname>Buffat</surname> <given-names>S</given-names></name> <name><surname>Ricard</surname> <given-names>D</given-names></name> <name><surname>Vidal</surname> <given-names>PP</given-names></name></person-group>. <article-title>Inertial sensors to assess gait quality in patients with neurological disorders: a systematic review of technical and analytical challenges</article-title>. <source>Front Psychol</source>. (<year>2017</year>) <volume>8</volume>:<fpage>1</fpage>&#x02013;<lpage>12</lpage>. <pub-id pub-id-type="doi">10.3389/fpsyg.2017.00817</pub-id><pub-id pub-id-type="pmid">28572784</pub-id></citation></ref>
<ref id="B8">
<label>8.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Vienne-Jumeau</surname> <given-names>A</given-names></name> <name><surname>Quijoux</surname> <given-names>F</given-names></name> <name><surname>Vidal</surname> <given-names>PP</given-names></name> <name><surname>Ricard</surname> <given-names>D</given-names></name></person-group>. <article-title>Value of gait analysis for measuring disease severity using inertial sensors in patients with multiple sclerosis: protocol for a systematic review and meta-analysis</article-title>. <source>Systemat Rev</source>. (<year>2019</year>) <volume>8</volume>:<fpage>1</fpage>&#x02013;<lpage>5</lpage>. <pub-id pub-id-type="doi">10.1186/s13643-018-0918-z</pub-id><pub-id pub-id-type="pmid">30621765</pub-id></citation></ref>
<ref id="B9">
<label>9.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kragt</surname> <given-names>JJ</given-names></name> <name><surname>Van Der Linden</surname> <given-names>F</given-names></name> <name><surname>Nielsen</surname> <given-names>JM</given-names></name> <name><surname>Uitdehaag</surname> <given-names>BMJ</given-names></name> <name><surname>Polman</surname> <given-names>CH</given-names></name></person-group>. <article-title>Clinical impact of 20% worsening on Timed 25-foot Walk and 9-hole Peg Test in multiple sclerosis</article-title>. <source>Mult Scler</source>. (<year>2006</year>) <volume>12</volume>:<fpage>594</fpage>&#x02013;<lpage>8</lpage>. <pub-id pub-id-type="doi">10.1177/1352458506070768</pub-id><pub-id pub-id-type="pmid">17086905</pub-id></citation></ref>
<ref id="B10">
<label>10.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Martin</surname> <given-names>CL</given-names></name> <name><surname>Phillips</surname> <given-names>BA</given-names></name> <name><surname>Kilpatrick</surname> <given-names>TJ</given-names></name> <name><surname>Butzkueven</surname> <given-names>H</given-names></name> <name><surname>Tubridy</surname> <given-names>N</given-names></name> <name><surname>McDonald</surname> <given-names>E</given-names></name> <etal/></person-group>. <article-title>Gait and balance impairment in early multiple sclerosis in the absence of clinical disability</article-title>. <source>Mult Scler</source>. (<year>2006</year>) <volume>12</volume>:<fpage>620</fpage>&#x02013;<lpage>8</lpage>. <pub-id pub-id-type="doi">10.1177/1352458506070658</pub-id><pub-id pub-id-type="pmid">17086909</pub-id></citation></ref>
<ref id="B11">
<label>11.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kalron</surname> <given-names>A</given-names></name> <name><surname>Givon</surname> <given-names>U</given-names></name></person-group>. <article-title>Gait characteristics according to pyramidal, sensory and cerebellar EDSS subcategories in people with multiple sclerosis</article-title>. <source>J Neurol</source>. (<year>2016</year>) <volume>16</volume>:<fpage>6</fpage>. <pub-id pub-id-type="doi">10.1007/s00415-016-8200-6</pub-id><pub-id pub-id-type="pmid">27314963</pub-id></citation></ref>
<ref id="B12">
<label>12.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Motta</surname> <given-names>C</given-names></name> <name><surname>Palermo</surname> <given-names>E</given-names></name> <name><surname>Studer</surname> <given-names>V</given-names></name> <name><surname>Germanotta</surname> <given-names>M</given-names></name> <name><surname>Germani</surname> <given-names>G</given-names></name> <name><surname>Centonze</surname> <given-names>D</given-names></name> <etal/></person-group>. <article-title>Disability and fatigue can be objectively measured in multiple sclerosis</article-title>. <source>PLoS ONE</source>. (<year>2016</year>) <volume>11</volume>:<fpage>e148997</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0148997</pub-id><pub-id pub-id-type="pmid">26863109</pub-id></citation></ref>
<ref id="B13">
<label>13.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pau</surname> <given-names>M</given-names></name> <name><surname>Mandaresu</surname> <given-names>S</given-names></name> <name><surname>Pilloni</surname> <given-names>G</given-names></name> <name><surname>Porta</surname> <given-names>M</given-names></name> <name><surname>Coghe</surname> <given-names>G</given-names></name> <name><surname>Marrosu</surname> <given-names>MG</given-names></name> <etal/></person-group>. <article-title>Smoothness of gait detects early alterations of walking in persons with multiple sclerosis without disability</article-title>. <source>Gait Post</source>. (<year>2017</year>) <volume>58</volume>:<fpage>307</fpage>&#x02013;<lpage>9</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2017.08.023</pub-id><pub-id pub-id-type="pmid">28858779</pub-id></citation></ref>
<ref id="B14">
<label>14.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pau</surname> <given-names>M</given-names></name> <name><surname>Corona</surname> <given-names>F</given-names></name> <name><surname>Pilloni</surname> <given-names>G</given-names></name> <name><surname>Porta</surname> <given-names>M</given-names></name> <name><surname>Coghe</surname> <given-names>G</given-names></name> <name><surname>Cocco</surname> <given-names>E</given-names></name></person-group>. <article-title>Texting while walking differently alters gait patterns in people with multiple sclerosis and healthy individuals</article-title>. <source>Mult Scler Relat Disord</source>. (<year>2018</year>) <volume>19</volume>:<fpage>129</fpage>&#x02013;<lpage>33</lpage>. <pub-id pub-id-type="doi">10.1016/j.msard.2017.11.021</pub-id><pub-id pub-id-type="pmid">29216541</pub-id></citation></ref>
<ref id="B15">
<label>15.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pau</surname> <given-names>M</given-names></name> <name><surname>Caggiari</surname> <given-names>S</given-names></name> <name><surname>Mura</surname> <given-names>A</given-names></name> <name><surname>Corona</surname> <given-names>F</given-names></name> <name><surname>Leban</surname> <given-names>B</given-names></name> <name><surname>Coghe</surname> <given-names>G</given-names></name> <etal/></person-group>. <article-title>Clinical assessment of gait in individuals with multiple sclerosis using wearable inertial sensors: comparison with patient-based measure</article-title>. <source>Mult Scler Relat Disord</source>. (<year>2016</year>) <volume>10</volume>:<fpage>187</fpage>&#x02013;<lpage>91</lpage>. <pub-id pub-id-type="doi">10.1016/j.msard.2016.10.007</pub-id><pub-id pub-id-type="pmid">27919488</pub-id></citation></ref>
<ref id="B16">
<label>16.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Vienne-Jumeau</surname> <given-names>A</given-names></name> <name><surname>Quijoux</surname> <given-names>F</given-names></name> <name><surname>Vidal</surname> <given-names>PP</given-names></name> <name><surname>Ricard</surname> <given-names>D</given-names></name></person-group>. <article-title>Wearable inertial sensors provide reliable biomarkers of disease severity in multiple sclerosis: a systematic review and meta-analysis</article-title>. <source>Ann Phys Rehabil Med</source>. (<year>2020</year>) <volume>63</volume>:<fpage>138</fpage>&#x02013;<lpage>47</lpage>. <pub-id pub-id-type="doi">10.1016/j.rehab.2019.07.004</pub-id><pub-id pub-id-type="pmid">31421274</pub-id></citation></ref>
<ref id="B17">
<label>17.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Shema-Shiratzky</surname> <given-names>S</given-names></name> <name><surname>Hillel</surname> <given-names>I</given-names></name> <name><surname>Mirelman</surname> <given-names>A</given-names></name> <name><surname>Regev</surname> <given-names>K</given-names></name> <name><surname>Hsieh</surname> <given-names>KL</given-names></name> <name><surname>Karni</surname> <given-names>A</given-names></name> <etal/></person-group>. <article-title>A wearable sensor identifies alterations in community ambulation in multiple sclerosis: contributors to real-world gait quality and physical activity</article-title>. <source>J Neurol</source>. (<year>2020</year>) <volume>267</volume>:<fpage>1912</fpage>&#x02013;<lpage>21</lpage>. <pub-id pub-id-type="doi">10.1007/s00415-020-09759-7</pub-id><pub-id pub-id-type="pmid">32166481</pub-id></citation></ref>
<ref id="B18">
<label>18.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ibrahim</surname> <given-names>AA</given-names></name> <name><surname>K&#x000FC;derle</surname> <given-names>A</given-names></name> <name><surname>Ga&#x000DF;ner</surname> <given-names>H</given-names></name> <name><surname>Klucken</surname> <given-names>J</given-names></name> <name><surname>Eskofier</surname> <given-names>BM</given-names></name> <name><surname>Kluge</surname> <given-names>F</given-names></name></person-group>. <article-title>Inertial sensor-based gait parameters reflect patient-reported fatigue in multiple sclerosis</article-title>. <source>J Neuroeng Rehabil</source>. (<year>2020</year>) <volume>17</volume>:<fpage>9</fpage>. <pub-id pub-id-type="doi">10.1186/s12984-020-00798-9</pub-id><pub-id pub-id-type="pmid">33339530</pub-id></citation></ref>
<ref id="B19">
<label>19.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zahn</surname> <given-names>A</given-names></name> <name><surname>Koch</surname> <given-names>V</given-names></name> <name><surname>Schreff</surname> <given-names>L</given-names></name> <name><surname>Oschmann</surname> <given-names>P</given-names></name> <name><surname>Winkler</surname> <given-names>J</given-names></name> <name><surname>Ganer</surname> <given-names>H</given-names></name> <etal/></person-group>. <article-title>Validity of an inertial sensor-based system for the assessment of spatio-temporal parameters in people with multiple sclerosis</article-title>. <source>Front Neurol</source>. (<year>2023</year>) <volume>14</volume>:<fpage>1164001</fpage>. <pub-id pub-id-type="doi">10.3389/fneur.2023.1164001</pub-id><pub-id pub-id-type="pmid">37153677</pub-id></citation></ref>
<ref id="B20">
<label>20.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>M&#x000FC;ller</surname> <given-names>R</given-names></name> <name><surname>Hamacher</surname> <given-names>D</given-names></name> <name><surname>Hansen</surname> <given-names>S</given-names></name> <name><surname>Oschmann</surname> <given-names>P</given-names></name> <name><surname>Keune</surname> <given-names>PM</given-names></name></person-group>. <article-title>Wearable inertial sensors are highly sensitive in the detection of gait disturbances and fatigue at early stages of multiple sclerosis</article-title>. <source>BMC Neurol</source>. (<year>2021</year>) <volume>21</volume>:<fpage>337</fpage>. <pub-id pub-id-type="doi">10.1186/s12883-021-02361-y</pub-id><pub-id pub-id-type="pmid">34481481</pub-id></citation></ref>
<ref id="B21">
<label>21.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Fritz</surname> <given-names>NE</given-names></name> <name><surname>Newsome</surname> <given-names>SD</given-names></name> <name><surname>Eloyan</surname> <given-names>A</given-names></name> <name><surname>Marasigan</surname> <given-names>RER</given-names></name> <name><surname>Calabresi</surname> <given-names>PA</given-names></name> <name><surname>Zackowski</surname> <given-names>KM</given-names></name></person-group>. <article-title>Longitudinal relationships among posturography and gait measures in multiple sclerosis</article-title>. <source>Neurology</source>. (<year>2015</year>) <volume>84</volume>:<fpage>2048</fpage>&#x02013;<lpage>56</lpage>. <pub-id pub-id-type="doi">10.1212/WNL.0000000000001580</pub-id><pub-id pub-id-type="pmid">25878185</pub-id></citation></ref>
<ref id="B22">
<label>22.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Balantrapu</surname> <given-names>S</given-names></name> <name><surname>Sosnoff</surname> <given-names>JJ</given-names></name> <name><surname>Pula</surname> <given-names>JH</given-names></name> <name><surname>Sandroff</surname> <given-names>BM</given-names></name> <name><surname>Motl</surname> <given-names>RW</given-names></name></person-group>. <article-title>Leg spasticity and ambulation in multiple sclerosis</article-title>. <source>Mult Scler Int</source>. (<year>2014</year>) <volume>2014</volume>:<fpage>1</fpage>&#x02013;<lpage>7</lpage>. <pub-id pub-id-type="doi">10.1155/2014/649390</pub-id><pub-id pub-id-type="pmid">24999434</pub-id></citation></ref>
<ref id="B23">
<label>23.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pau</surname> <given-names>M</given-names></name> <name><surname>Coghe</surname> <given-names>G</given-names></name> <name><surname>Corona</surname> <given-names>F</given-names></name> <name><surname>Marrosu</surname> <given-names>MG</given-names></name> <name><surname>Cocco</surname> <given-names>E</given-names></name></person-group>. <article-title>Effect of spasticity on kinematics of gait and muscular activation in people with multiple sclerosis</article-title>. <source>J Neurol Sci</source>. (<year>2015</year>) <volume>358</volume>:<fpage>339</fpage>&#x02013;<lpage>44</lpage>. <pub-id pub-id-type="doi">10.1016/j.jns.2015.09.352</pub-id><pub-id pub-id-type="pmid">26409825</pub-id></citation></ref>
<ref id="B24">
<label>24.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ballester</surname> <given-names>BR</given-names></name> <name><surname>Antenucci</surname> <given-names>F</given-names></name> <name><surname>Maier</surname> <given-names>M</given-names></name> <name><surname>Coolen</surname> <given-names>ACC</given-names></name> <name><surname>Verschure</surname> <given-names>PFMJ</given-names></name></person-group>. <article-title>Estimating upper-extremity function from kinematics in stroke patients following goal-oriented computer-based training</article-title>. <source>J NeuroEng Rehabil</source>. (<year>2021</year>) <volume>18</volume>:<fpage>1</fpage>&#x02013;<lpage>17</lpage>. <pub-id pub-id-type="doi">10.1186/s12984-021-00971-8</pub-id><pub-id pub-id-type="pmid">34972526</pub-id></citation></ref>
<ref id="B25">
<label>25.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Polman</surname> <given-names>CH</given-names></name> <name><surname>Reingold</surname> <given-names>SC</given-names></name> <name><surname>Banwell</surname> <given-names>B</given-names></name> <name><surname>Clanet</surname> <given-names>M</given-names></name> <name><surname>Cohen</surname> <given-names>JA</given-names></name> <name><surname>Filippi</surname> <given-names>M</given-names></name> <etal/></person-group>. <article-title>Diagnostic criteria for multiple sclerosis: 2010 revisions to the McDonald criteria</article-title>. <source>Ann Neurol</source>. (<year>2011</year>) <volume>69</volume>:<fpage>292</fpage>&#x02013;<lpage>302</lpage>. <pub-id pub-id-type="doi">10.1002/ana.22366</pub-id><pub-id pub-id-type="pmid">21387374</pub-id></citation></ref>
<ref id="B26">
<label>26.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zecevic</surname> <given-names>AA</given-names></name> <name><surname>Salmoni</surname> <given-names>AW</given-names></name> <name><surname>Speechley</surname> <given-names>M</given-names></name> <name><surname>Vandervoort</surname> <given-names>AA</given-names></name></person-group>. <article-title>Defining a fall and reasons for falling: comparisons among the views of seniors, health care providers, and the research literature</article-title>. <source>Gerontologist</source>. (<year>2006</year>) <volume>46</volume>:<fpage>367</fpage>&#x02013;<lpage>76</lpage>. <pub-id pub-id-type="doi">10.1093/geront/46.3.367</pub-id><pub-id pub-id-type="pmid">16731875</pub-id></citation></ref>
<ref id="B27">
<label>27.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Voisard</surname> <given-names>C</given-names></name> <name><surname>De l&#x00027;Escalopier</surname> <given-names>N</given-names></name> <name><surname>Ricard</surname> <given-names>D</given-names></name> <name><surname>Oudre</surname> <given-names>L</given-names></name></person-group>. <article-title>Automatic gait events detection with inertial measurement units: healthy subjects and moderate to severe impaired patients</article-title>. <source>Res. Square [Preprint]</source>. (<year>2023</year>). <pub-id pub-id-type="doi">10.21203/rs.3.rs-2792379/v1</pub-id></citation>
</ref>
<ref id="B28">
<label>28.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Barrois</surname> <given-names>RPM</given-names></name> <name><surname>Ricard</surname> <given-names>D</given-names></name> <name><surname>Oudre</surname> <given-names>L</given-names></name> <name><surname>Tlili</surname> <given-names>L</given-names></name> <name><surname>Provost</surname> <given-names>C</given-names></name> <name><surname>Vienne</surname> <given-names>A</given-names></name> <etal/></person-group>. <article-title>Observational study of 180&#x000B0; turning strategies using inertial measurement units and fall risk in poststroke hemiparetic patients</article-title>. <source>Front Neurol</source>. (<year>2017</year>) <volume>8</volume>:<fpage>1</fpage>&#x02013;<lpage>11</lpage>. <pub-id pub-id-type="doi">10.3389/fneur.2017.00194</pub-id><pub-id pub-id-type="pmid">28555124</pub-id></citation></ref>
<ref id="B29">
<label>29.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Melendez-Calderon</surname> <given-names>A</given-names></name> <name><surname>Shirota</surname> <given-names>C</given-names></name> <name><surname>Balasubramanian</surname> <given-names>S</given-names></name></person-group>. <article-title>Estimating movement smoothness from inertial measurement units</article-title>. <source>Front Bioeng Biotechnol</source>. (<year>2021</year>) <volume>8</volume>:<fpage>1</fpage>&#x02013;<lpage>16</lpage>. <pub-id pub-id-type="doi">10.3389/fbioe.2020.558771</pub-id><pub-id pub-id-type="pmid">33520949</pub-id></citation></ref>
<ref id="B30">
<label>30.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>do Vale Garcia</surname> <given-names>F</given-names></name> <name><surname>da Cunha</surname> <given-names>MJ</given-names></name> <name><surname>Schuch</surname> <given-names>CP</given-names></name> <name><surname>Schifino</surname> <given-names>GP</given-names></name> <name><surname>Balbinot</surname> <given-names>G</given-names></name> <name><surname>Pagnussat</surname> <given-names>AS</given-names></name></person-group>. <article-title>Movement smoothness in chronic post-stroke individuals walking in an outdoor environment&#x02014;a cross-sectional study using IMU sensors</article-title>. <source>PLoS ONE</source>. (<year>2021</year>) <volume>16</volume>:<fpage>1</fpage>&#x02013;<lpage>18</lpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0250100</pub-id><pub-id pub-id-type="pmid">33886640</pub-id></citation></ref>
<ref id="B31">
<label>31.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Iijima</surname> <given-names>H</given-names></name> <name><surname>Eguchi</surname> <given-names>R</given-names></name> <name><surname>Aoyama</surname> <given-names>T</given-names></name> <name><surname>Takahashi</surname> <given-names>M</given-names></name></person-group>. <article-title>Trunk movement asymmetry associated with pain, disability, and quadriceps strength asymmetry in individuals with knee osteoarthritis: a cross-sectional study</article-title>. <source>Osteoarthrit Cartilage</source>. (<year>2019</year>) <volume>27</volume>:<fpage>248</fpage>&#x02013;<lpage>56</lpage>. <pub-id pub-id-type="doi">10.1016/j.joca.2018.10.012</pub-id><pub-id pub-id-type="pmid">30445222</pub-id></citation></ref>
<ref id="B32">
<label>32.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Beck</surname> <given-names>Y</given-names></name> <name><surname>Herman</surname> <given-names>T</given-names></name> <name><surname>Brozgol</surname> <given-names>M</given-names></name> <name><surname>Giladi</surname> <given-names>N</given-names></name> <name><surname>Mirelman</surname> <given-names>A</given-names></name> <name><surname>Hausdorff</surname> <given-names>JM</given-names></name></person-group>. <article-title>SPARC: a new approach to quantifying gait smoothness in patients with Parkinson&#x00027;s disease</article-title>. <source>J NeuroEng Rehabil</source>. (<year>2018</year>) <volume>15</volume>:<fpage>1</fpage>&#x02013;<lpage>9</lpage>. <pub-id pub-id-type="doi">10.1186/s12984-018-0398-3</pub-id><pub-id pub-id-type="pmid">29914518</pub-id></citation></ref>
<ref id="B33">
<label>33.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pinto</surname> <given-names>C</given-names></name> <name><surname>Schuch</surname> <given-names>CP</given-names></name> <name><surname>Balbinot</surname> <given-names>G</given-names></name> <name><surname>Salazar</surname> <given-names>AP</given-names></name> <name><surname>Hennig</surname> <given-names>EM</given-names></name> <name><surname>Kleiner</surname> <given-names>AFR</given-names></name> <etal/></person-group>. <article-title>Movement smoothness during a functional mobility task in subjects with Parkinson&#x00027;s disease and freezing of gait&#x02014;an analysis using inertial measurement units</article-title>. <source>J NeuroEng Rehabil</source>. (<year>2019</year>) <volume>16</volume>:<fpage>8</fpage>. <pub-id pub-id-type="doi">10.1186/s12984-019-0579-8</pub-id><pub-id pub-id-type="pmid">31488184</pub-id></citation></ref>
<ref id="B34">
<label>34.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Figueiredo</surname> <given-names>AI</given-names></name> <name><surname>Balbinot</surname> <given-names>G</given-names></name> <name><surname>Brauner</surname> <given-names>FO</given-names></name> <name><surname>Schiavo</surname> <given-names>A</given-names></name> <name><surname>Baptista</surname> <given-names>RR</given-names></name> <name><surname>Pagnussat</surname> <given-names>AS</given-names></name> <etal/></person-group>. <article-title>SPARC metrics provide mobility smoothness assessment in oldest-old with and without a history of falls: a case control study</article-title>. <source>Front Physiol</source>. (<year>2020</year>) <volume>11</volume>:<fpage>540</fpage>. <pub-id pub-id-type="doi">10.3389/fphys.2020.00540</pub-id><pub-id pub-id-type="pmid">32587523</pub-id></citation></ref>
<ref id="B35">
<label>35.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Balasubramanian</surname> <given-names>S</given-names></name> <name><surname>Melendez-Calderon</surname> <given-names>A</given-names></name> <name><surname>Roby-Brami</surname> <given-names>A</given-names></name> <name><surname>Burdet</surname> <given-names>E</given-names></name></person-group>. <article-title>On the analysis of movement smoothness</article-title>. <source>J NeuroEng Rehabil</source>. (<year>2015</year>) <volume>12</volume>:<fpage>9</fpage>. <pub-id pub-id-type="doi">10.1186/s12984-015-0090-9</pub-id><pub-id pub-id-type="pmid">26651329</pub-id></citation></ref>
<ref id="B36">
<label>36.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gage</surname> <given-names>H</given-names></name></person-group>. <article-title>Accelerographic analysis of human gait. Am Society Mechanical Engineers.</article-title> In: <source>Biomechanics Monograph</source> (<year>1967</year>). p. <fpage>137</fpage>&#x02013;<lpage>52</lpage>.</citation>
</ref>
<ref id="B37">
<label>37.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pasciuto</surname> <given-names>I</given-names></name> <name><surname>Bergamini</surname> <given-names>E</given-names></name> <name><surname>Iosa</surname> <given-names>M</given-names></name> <name><surname>Vannozzi</surname> <given-names>G</given-names></name> <name><surname>Cappozzo</surname> <given-names>A</given-names></name></person-group>. <article-title>Overcoming the limitations of the Harmonic Ratio for the reliable assessment of gait symmetry</article-title>. <source>J Biomech</source>. (<year>2017</year>) <volume>53</volume>:<fpage>84</fpage>&#x02013;<lpage>9</lpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2017.01.005</pub-id><pub-id pub-id-type="pmid">28104246</pub-id></citation></ref>
<ref id="B38">
<label>38.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bellanca</surname> <given-names>JL</given-names></name> <name><surname>Lowry</surname> <given-names>KA</given-names></name> <name><surname>VanSwearingen</surname> <given-names>JM</given-names></name> <name><surname>Brach</surname> <given-names>JS</given-names></name> <name><surname>Redfern</surname> <given-names>MS</given-names></name></person-group>. <article-title>Harmonic ratios: a quantification of step to step symmetry</article-title>. <source>J Biomech</source>. (<year>2013</year>) <volume>46</volume>:<fpage>828</fpage>&#x02013;<lpage>31</lpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2012.12.008</pub-id><pub-id pub-id-type="pmid">23317758</pub-id></citation></ref>
<ref id="B39">
<label>39.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Henriksen</surname> <given-names>M</given-names></name> <name><surname>Lund</surname> <given-names>H</given-names></name> <name><surname>Moe-Nilssen</surname> <given-names>R</given-names></name> <name><surname>Bliddal</surname> <given-names>H</given-names></name> <name><surname>Danneskiod-Sams&#x000F8;e</surname> <given-names>B</given-names></name></person-group>. <article-title>Test-retest reliability of trunk accelerometric gait analysis</article-title>. <source>Gait Post</source>. (<year>2004</year>) <volume>19</volume>:<fpage>288</fpage>&#x02013;<lpage>97</lpage>. <pub-id pub-id-type="doi">10.1016/S0966-6362(03)00069-9</pub-id><pub-id pub-id-type="pmid">15125918</pub-id></citation></ref>
<ref id="B40">
<label>40.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mansour</surname> <given-names>KB</given-names></name> <name><surname>Gorce</surname> <given-names>P</given-names></name> <name><surname>Rezzoug</surname> <given-names>N</given-names></name></person-group>. <article-title>The multifeature gait score: an accurate way to assess gait quality</article-title>. <source>PLoS ONE</source>. (<year>2017</year>) <volume>12</volume>:<fpage>1</fpage>&#x02013;<lpage>12</lpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0185741</pub-id><pub-id pub-id-type="pmid">29049403</pub-id></citation></ref>
<ref id="B41">
<label>41.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Shrout</surname> <given-names>PE</given-names></name> <name><surname>Fleiss</surname> <given-names>JL</given-names></name></person-group>. <article-title>Intraclass correlations: uses in assessing rater reliability</article-title>. <source>Psychol Bullet</source>. (<year>1979</year>) <volume>86</volume>:<fpage>420</fpage>&#x02013;<lpage>8</lpage>.<pub-id pub-id-type="pmid">18839484</pub-id></citation></ref>
<ref id="B42">
<label>42.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bobak</surname> <given-names>CA</given-names></name> <name><surname>Barr</surname> <given-names>PJ</given-names></name> <name><surname>O&#x00027;Malley</surname> <given-names>AJ</given-names></name></person-group>. <article-title>Estimation of an inter-rater intra-class correlation coefficient that overcomes common assumption violations in the assessment of health measurement scales</article-title>. <source>BMC Med Res Methodol</source>. (<year>2018</year>) <volume>18</volume>:<fpage>6</fpage>. <pub-id pub-id-type="doi">10.1186/s12874-018-0550-6</pub-id><pub-id pub-id-type="pmid">30208858</pub-id></citation></ref>
<ref id="B43">
<label>43.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Stellmann</surname> <given-names>JP</given-names></name> <name><surname>Neuhaus</surname> <given-names>A</given-names></name> <name><surname>G&#x000F6;tze</surname> <given-names>N</given-names></name> <name><surname>Briken</surname> <given-names>S</given-names></name> <name><surname>Lederer</surname> <given-names>C</given-names></name> <name><surname>Schimpl</surname> <given-names>M</given-names></name> <etal/></person-group>. <article-title>Ecological validity of walking capacity tests in multiple sclerosis</article-title>. <source>PLoS ONE</source>. (<year>2015</year>) <volume>10</volume>:<fpage>e0123822</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0123822</pub-id><pub-id pub-id-type="pmid">31369622</pub-id></citation></ref>
<ref id="B44">
<label>44.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Carcreff</surname> <given-names>L</given-names></name> <name><surname>Gerber</surname> <given-names>CN</given-names></name> <name><surname>Paraschiv-Ionescu</surname> <given-names>A</given-names></name> <name><surname>De Coulon</surname> <given-names>G</given-names></name> <name><surname>Newman</surname> <given-names>CJ</given-names></name> <name><surname>Aminian</surname> <given-names>K</given-names></name> <etal/></person-group>. <article-title>Comparison of gait characteristics between clinical and daily life settings in children with cerebral palsy</article-title>. <source>Sci Rep</source>. (<year>2020</year>) <volume>10</volume>:<fpage>2091</fpage>. <pub-id pub-id-type="doi">10.1038/s41598-020-59002-6</pub-id><pub-id pub-id-type="pmid">32034244</pub-id></citation></ref>
<ref id="B45">
<label>45.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Del Din</surname> <given-names>S</given-names></name> <name><surname>Godfrey</surname> <given-names>A</given-names></name> <name><surname>Galna</surname> <given-names>B</given-names></name> <name><surname>Lord</surname> <given-names>S</given-names></name> <name><surname>Rochester</surname> <given-names>L</given-names></name></person-group>. <article-title>Free-living gait characteristics in ageing and Parkinsons disease: impact of environment and ambulatory bout length</article-title>. <source>J NeuroEng Rehabil</source>. (<year>2016</year>) <volume>13</volume>:<fpage>46</fpage>. <pub-id pub-id-type="doi">10.1186/s12984-016-0154-5</pub-id><pub-id pub-id-type="pmid">27175731</pub-id></citation></ref>
<ref id="B46">
<label>46.</label>
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Manji</surname> <given-names>H</given-names></name> <name><surname>Connolly</surname> <given-names>S</given-names></name> <name><surname>Kitchen</surname> <given-names>N</given-names></name> <name><surname>Lambert</surname> <given-names>C</given-names></name> <name><surname>Mehta</surname> <given-names>A</given-names></name></person-group>. <source>Oxford Handbook of Neurology</source>. 2 ed. <publisher-loc>New York, NY</publisher-loc>: <publisher-name>Oxford University Press</publisher-name> (<year>2014</year>).</citation>
</ref>
<ref id="B47">
<label>47.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Comber</surname> <given-names>L</given-names></name> <name><surname>Galvin</surname> <given-names>R</given-names></name> <name><surname>Coote</surname> <given-names>S</given-names></name></person-group>. <article-title>Gait and Posture Gait de fi cits in people with multiple sclerosis : a systematic review and</article-title>. <source>Gait Post</source>. (<year>2017</year>) <volume>51</volume>:<fpage>25</fpage>&#x02013;<lpage>35</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2016.09.026</pub-id><pub-id pub-id-type="pmid">27693958</pub-id></citation></ref>
<ref id="B48">
<label>48.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Preiningerova</surname> <given-names>JL</given-names></name> <name><surname>Novotna</surname> <given-names>K</given-names></name> <name><surname>Rusz</surname> <given-names>J</given-names></name> <name><surname>Sucha</surname> <given-names>L</given-names></name> <name><surname>Ruzicka</surname> <given-names>E</given-names></name> <name><surname>Havrdova</surname> <given-names>E</given-names></name></person-group>. <article-title>Spatial and temporal characteristics of gait as outcome measures in multiple sclerosis (EDSS 0 to 6</article-title>.5). <source>J Neuroeng Rehabil</source>. (<year>2015</year>) <volume>12</volume>:<fpage>15</fpage>. <pub-id pub-id-type="doi">10.1186/s12984-015-0001-0</pub-id><pub-id pub-id-type="pmid">25890382</pub-id></citation></ref>
<ref id="B49">
<label>49.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bois</surname> <given-names>A</given-names></name> <name><surname>Tervil</surname> <given-names>B</given-names></name> <name><surname>Moreau</surname> <given-names>A</given-names></name> <name><surname>Vienne-Jumeau</surname> <given-names>A</given-names></name> <name><surname>Ricard</surname> <given-names>D</given-names></name> <name><surname>Oudre</surname> <given-names>L</given-names></name></person-group>. <article-title>A topological data analysis-based method for gait signals with an application to the study of multiple sclerosis</article-title>. <source>PLoS ONE</source>. (<year>2022</year>) <volume>17</volume>:<fpage>e0268475</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0268475</pub-id><pub-id pub-id-type="pmid">35560328</pub-id></citation></ref>
<ref id="B50">
<label>50.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bruijn</surname> <given-names>SM</given-names></name> <name><surname>van Die&#x000EB;n</surname> <given-names>JH</given-names></name> <name><surname>Meijer</surname> <given-names>OG</given-names></name> <name><surname>Beek</surname> <given-names>PJ</given-names></name></person-group>. <article-title>Is slow walking more stable?</article-title> <source>J Biomech</source>. (<year>2009</year>) <volume>42</volume>:<fpage>1506</fpage>&#x02013;<lpage>12</lpage>. <pub-id pub-id-type="doi">10.1016/j.jbiomech.2009.03.047</pub-id><pub-id pub-id-type="pmid">19446294</pub-id></citation></ref>
<ref id="B51">
<label>51.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>CofrLizama</surname> <given-names>LE</given-names></name> <name><surname>Bruijn</surname> <given-names>SM</given-names></name> <name><surname>Galea</surname> <given-names>MP</given-names></name></person-group>. <article-title>Gait stability at early stages of multiple sclerosis using different data sources</article-title>. <source>Gait Post</source>. (<year>2020</year>) <volume>77</volume>:<fpage>214</fpage>&#x02013;<lpage>7</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2020.02.006</pub-id><pub-id pub-id-type="pmid">32058286</pub-id></citation></ref>
<ref id="B52">
<label>52.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Alster</surname> <given-names>SD</given-names></name> <name><surname>Menascu</surname> <given-names>S</given-names></name> <name><surname>Achiron</surname> <given-names>A</given-names></name> <name><surname>Kalron</surname> <given-names>A</given-names></name> <name><surname>Dolev</surname> <given-names>M</given-names></name> <name><surname>Givon</surname> <given-names>U</given-names></name></person-group>. <article-title>Longitudinal relationships between disability and gait characteristics in people with MS</article-title>. <source>Sci Rep</source>. (<year>2022</year>) <volume>12</volume>:<fpage>3653</fpage>. <pub-id pub-id-type="doi">10.1038/s41598-022-07734-y</pub-id><pub-id pub-id-type="pmid">35256705</pub-id></citation></ref>
<ref id="B53">
<label>53.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Givon</surname> <given-names>U</given-names></name> <name><surname>Zeilig</surname> <given-names>G</given-names></name> <name><surname>Achiron</surname> <given-names>A</given-names></name></person-group>. <article-title>Gait analysis in multiple sclerosis: characterization of temporal-spatial parameters using GAITRite functional ambulation system</article-title>. <source>Gait Post</source>. (<year>2009</year>) <volume>29</volume>:<fpage>138</fpage>&#x02013;<lpage>42</lpage>. <pub-id pub-id-type="doi">10.1016/j.gaitpost.2008.07.011</pub-id><pub-id pub-id-type="pmid">18951800</pub-id></citation></ref>
<ref id="B54">
<label>54.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Buckley</surname> <given-names>C</given-names></name> <name><surname>Mic&#x000F3;-Amigo</surname> <given-names>ME</given-names></name> <name><surname>Dunne-Willows</surname> <given-names>M</given-names></name> <name><surname>Godfrey</surname> <given-names>A</given-names></name> <name><surname>Hickey</surname> <given-names>A</given-names></name> <name><surname>Lord</surname> <given-names>S</given-names></name> <etal/></person-group>. <article-title>Gait asymmetry post-stroke: determining valid and reliable methods using a single accelerometer located on the trunk</article-title>. <source>Sensors</source>. (<year>2020</year>) <volume>20</volume>:<fpage>1</fpage>&#x02013;<lpage>17</lpage>. <pub-id pub-id-type="doi">10.3390/s20010037</pub-id><pub-id pub-id-type="pmid">31861630</pub-id></citation></ref>
<ref id="B55">
<label>55.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gulde</surname> <given-names>P</given-names></name> <name><surname>Hermsd&#x000F6;rfer</surname> <given-names>J</given-names></name> <name><surname>Rieckmann</surname> <given-names>P</given-names></name></person-group>. <article-title>Speed but not smoothness of gait reacts to rehabilitation in multiple sclerosis</article-title>. <source>Mult Scler Int</source>. (<year>2021</year>) <volume>2021</volume>:<fpage>1</fpage>&#x02013;<lpage>8</lpage>. <pub-id pub-id-type="doi">10.1155/2021/5589562</pub-id><pub-id pub-id-type="pmid">34123427</pub-id></citation></ref>
<ref id="B56">
<label>56.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bohannon</surname> <given-names>RW</given-names></name> <name><surname>Glenney</surname> <given-names>SS</given-names></name></person-group>. <article-title>Minimal clinically important difference for change in comfortable gait speed of adults with pathology: a systematic review</article-title>. <source>J Eval Clin Pract</source>. (<year>2014</year>) <volume>20</volume>:<fpage>295</fpage>&#x02013;<lpage>300</lpage>. <pub-id pub-id-type="doi">10.1111/jep.12158</pub-id><pub-id pub-id-type="pmid">24798823</pub-id></citation></ref>
</ref-list> 
</back>
</article> 