<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article article-type="research-article" dtd-version="2.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Netw. Physiol.</journal-id>
<journal-title>Frontiers in Network Physiology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Netw. Physiol.</abbrev-journal-title>
<issn pub-type="epub">2674-0109</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">844607</article-id>
<article-id pub-id-type="doi">10.3389/fnetp.2022.844607</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Network Physiology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Body Weight Control Is a Key Element of Motor Control for Toddlers&#x2019; Walking</article-title>
<alt-title alt-title-type="left-running-head">Kerkman et al.</alt-title>
<alt-title alt-title-type="right-running-head">Body Weight Control in Toddlers</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Kerkman</surname>
<given-names>Jennifer N.</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/910009/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zandvoort</surname>
<given-names>Coen S.</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/664476/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Daffertshofer</surname>
<given-names>Andreas</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/17417/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Dominici</surname>
<given-names>Nadia</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/83132/overview"/>
</contrib>
</contrib-group>
<aff>
<institution>Department of Human Movement Sciences, Faculty of Behavioural and Movement Sciences, Amsterdam Movement Science Institute (AMS) and Institute for Brain and Behaviour Amsterdam (iBBA), Vrije Universiteit Amsterdam</institution>, <addr-line>Amsterdam</addr-line>, <country>Netherlands</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/17827/overview">Plamen Ch. Ivanov</ext-link>, Boston University, United States</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/201053/overview">Robert Hristovski</ext-link>, Saints Cyril and Methodius University of Skopje, North Macedonia</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/422315/overview">Sergi Garcia-Retortillo</ext-link>, Boston University, United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Nadia Dominici, <email>n.dominici@vu.nl</email>; Andreas Daffertshofer, <email>a.daffertshofer@vu.nl</email>
</corresp>
<fn fn-type="equal" id="fn1">
<label>
<sup>&#x2020;</sup>
</label>
<p>These authors have contributed equally to this work</p>
</fn>
<fn fn-type="other">
<p>This article was submitted to Systems Interactions and Organ Networks, a section of the journal Frontiers in Network Physiology</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>24</day>
<month>03</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>2</volume>
<elocation-id>844607</elocation-id>
<history>
<date date-type="received">
<day>28</day>
<month>12</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>02</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Kerkman, Zandvoort, Daffertshofer and Dominici.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Kerkman, Zandvoort, Daffertshofer and Dominici</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>New-borns can step when supported for about 70&#x2013;80% of their own body weight. Gravity-related sensorimotor information might be an important factor in developing the ability to walk independently. We explored how body weight support alters motor control in toddlers during the first independent steps and in toddlers with about half a year of walking experience. Sixteen different typically developing children were assessed during (un)supported walking on a running treadmill. Electromyography of 18&#x2013;24 bilateral leg and back muscles and vertical ground reaction forces were recorded. Strides were grouped into four levels of body weight support ranging from no (&#x3c;10%), low (10&#x2013;35%), medium (35&#x2013;55%), and high (55&#x2013;95%) support. We constructed muscle synergies and muscle networks and assessed differences between levels of support and between groups. In both groups, muscle activities could be described by four synergies. As expected, the mean activity decreased with body weight support around foot strikes. The younger first-steps group showed changes in the temporal pattern of the synergies when supported for more than 35% of their body weight. In this group, the muscle network was dense with several interlimb connections. Apparently, the ability to process gravity-related information is not fully developed at the onset of independent walking causing motor control to be fairly disperse. Synergy-specific sensitivity for unloading implies distinct neural mechanisms underlying (the emergence of) these synergies.</p>
</abstract>
<kwd-group>
<kwd>motor development</kwd>
<kwd>muscle synergies</kwd>
<kwd>muscle networks</kwd>
<kwd>gravity</kwd>
<kwd>toddlers</kwd>
</kwd-group>
<contract-num rid="cn002">016.156.346</contract-num>
<contract-sponsor id="cn001">European Resuscitation Council<named-content content-type="fundref-id">10.13039/100016882</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">Nederlandse Organisatie voor Wetenschappelijk Onderzoek<named-content content-type="fundref-id">10.13039/501100003246</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Gravity greatly affects early motor development as body weight control is of great importance for human locomotion (<xref ref-type="bibr" rid="B16">Dietz and Duysens, 2000</xref>; <xref ref-type="bibr" rid="B19">Duysens et al, 2000</xref>). New-borns can generate coordinated alternations of the lower limbs (<xref ref-type="bibr" rid="B70">Thelen and Fisher, 1983</xref>; <xref ref-type="bibr" rid="B71">Thelen et al, 198</xref>7; <xref ref-type="bibr" rid="B17">Dominici et al., 2011</xref>) but are not able to walk unsupported, yet. Since they can step when they only have to support about 20&#x2013;40% of their own body weight, the integration of loading-related information to oppose gravity and the ability to control the own body weight appears crucial.</p>
<p>Loading of the limbs influences the walking pattern. It arguably modulates the efferent output (<xref ref-type="bibr" rid="B28">Harkema et al., 1997</xref>) <italic>via</italic> the activation of Ib-afferents that appears in weight acceptance muscles (<xref ref-type="bibr" rid="B24">Finch et al, 1991</xref>), i.e., in extensors. In adults, it enhances the activity of (anti-gravity) muscles during stance and delays the initiation of the swing phase (<xref ref-type="bibr" rid="B20">Duysens and Pearson, 1980</xref>). When adults are unloaded, muscle activity and kinetics change, while kinematic and spatiotemporal parameters are merely affected (<xref ref-type="bibr" rid="B33">Ivanenko et al, 2002</xref>; <xref ref-type="bibr" rid="B34">Ivanenko et al., 2004</xref>; <xref ref-type="bibr" rid="B1">Apte et al, 2018</xref>). In contrast, toddlers show clear changes in their kinematic coordination during their first independent steps, when supported for more than 30% of their body weight (<xref ref-type="bibr" rid="B18">Dominici et al, 2007</xref>). This suggests that the reduction in gravity affects motor control during walking in toddlers differently than in adults (<xref ref-type="bibr" rid="B32">Ivanenko et al, 2007</xref>). Like in adults, in infants unloading may elongate the stance phase duration of walking (<xref ref-type="bibr" rid="B57">Pang and Yang, 2000</xref>) and infant stepping already renders adaptation to loading and other environmental changes (e.g., external perturbations, walking in different directions or at different speeds; <xref ref-type="bibr" rid="B44">Lam et al, 2003</xref>; <xref ref-type="bibr" rid="B45">Lam and Yang, 2000</xref>; <xref ref-type="bibr" rid="B57">Pang and Yang, 2000</xref>; <xref ref-type="bibr" rid="B69">Thelen and Cooke, 1987</xref>; <xref ref-type="bibr" rid="B76">Yang et al, 2005</xref>; <xref ref-type="bibr" rid="B77">Yang et al, 1998</xref>). Infants that are responsive to load changes tend to acquire functional motor skills at very young age (<xref ref-type="bibr" rid="B72">Vaal et al., 2000</xref>). This suggests the importance of early neurodevelopment to integrate load-related sensory information (<xref ref-type="bibr" rid="B12">Chang et al, 2006</xref>; <xref ref-type="bibr" rid="B43">Lacquaniti et al, 2012</xref>).</p>
<p>Stepping movements of infants are thought to emanate from embryonic interneurons in locomotor spinal circuitry (<xref ref-type="bibr" rid="B25">Forssberg, 1985</xref>; <xref ref-type="bibr" rid="B43">Lacquaniti et al., 2012</xref>). Inhibition of these spinal networks by descending cortico-spinal input appears mandatory to refine muscle activity (<xref ref-type="bibr" rid="B49">McGraw, 1940</xref>; <xref ref-type="bibr" rid="B28">Harkema et al., 1997</xref>; <xref ref-type="bibr" rid="B26">Grillner, 2011</xref>; <xref ref-type="bibr" rid="B58">Petersen et al., 2012</xref>; <xref ref-type="bibr" rid="B73">Vasudevan et al, 2016</xref>). Yet, whether this inhibition includes the sensorimotor integration of load-related information is unclear. If it does, one has to realise that neuromaturation is not completed at birth (<xref ref-type="bibr" rid="B49">McGraw, 1940</xref>; <xref ref-type="bibr" rid="B6">Berger et al, 1987</xref>; <xref ref-type="bibr" rid="B74">Vaughan et al, 2003</xref>), which may&#x2014;in fact&#x2014;explain why cortical control seems limited at a young age and the effect of unloading is different between toddlers and adults.</p>
<p>During the first year of life, motor behaviour develops gradually towards independent walking (<xref ref-type="bibr" rid="B49">McGraw, 1940</xref>). This development is accompanied by an increase in the number of locomotor muscle synergies from two to four, a number that persists in adults (<xref ref-type="bibr" rid="B17">Dominici et al., 2011</xref>). Locomotor muscle synergies are orchestrated patterns of co-activations in (groups of) muscles that are often considered essential for interlimb coordination, in particular, during walking. Here, we forward the hypothesis that the maturation of the cortico-spinal tract and, especially, that of afferent loading-related feedback are paramount for the emergence and control of the two supplementary locomotor synergies.</p>
<p>The contribution of neural circuits to motor control can be summarised as a network with a modular structure of neural structures and pathways. Network analysis has proven successful when mapping structural and functional connectivity in the brain (<xref ref-type="bibr" rid="B65">Sporns and Betzel, 2016</xref>), studying more general anatomy (<xref ref-type="bibr" rid="B21">Esteve-Altava et al, 2015</xref>; <xref ref-type="bibr" rid="B51">Molnar et al, 2017</xref>; <xref ref-type="bibr" rid="B53">Murphy et al., 2018</xref>; <xref ref-type="bibr" rid="B60">Powell et al., 2018</xref>) and unravelling physiologically interacting subsystems (<xref ref-type="bibr" rid="B38">Jeong et al, 2000</xref>; <xref ref-type="bibr" rid="B4">Bashan et al, 2012</xref>; <xref ref-type="bibr" rid="B22">Faes et al., 2014</xref>; <xref ref-type="bibr" rid="B35">Ivanov et al, 2016</xref>) or basic physiologic states (<xref ref-type="bibr" rid="B48">Liu et al, 2015</xref>; <xref ref-type="bibr" rid="B37">Ivanov et al, 2017</xref>; <xref ref-type="bibr" rid="B61">Rizzo et al, 2020</xref>). Casting such a diversity of subsystems in a network provides a comprehensive overview of many to many interactions (<xref ref-type="bibr" rid="B5">Bassett and Sporns, 2017</xref>; <xref ref-type="bibr" rid="B3">Balagu&#xe9; et al, 2020</xref>). Networks may &#x201c;rewire&#x201d; through changes in the task, coordination, or evolutional development (<xref ref-type="bibr" rid="B42">Lacquaniti et al, 2013</xref>) and, hence, can serve as an excellent means to identify corresponding changes in the (interactions of the) subsystems.</p>
<p>We altered body weight support (BWS) and explored its influence on motor output in toddlers at the onset of walking and in children about 6&#xa0;months after their first independent steps. By this, we zoomed in on body weight control during the first experience of independent walking. We employed synergy analysis and determined the minimal number of locomotor muscle synergies. Expectedly, around the occurrence of the first independent steps, the two supplementary locomotor muscle synergies emerge and settle. We constructed functional networks with multi synergy-specific layers, so called muscle synergy networks (<xref ref-type="bibr" rid="B39">Kerkman et al, 2020</xref>). While traditional synergy analysis combines muscle groups by their co-activation, combining a set of synergies into a network provides direct insight into the interaction between them. As such, it allows for an encompassing study of functional changes in muscle activity during a transition in physiological coupling (<xref ref-type="bibr" rid="B4">Bashan et al, 2012</xref>; <xref ref-type="bibr" rid="B36">Ivanov et al., 2014</xref>).</p>
<p>We investigated the temporal activation patterns of locomotor muscle synergies as a function of BWS and complemented the analysis by muscle synergy networks to detail changes in spatial representation between groups. All children were likely to show a mature motor output that we expected to turn towards less mature temporal patterns in the presence of high BWS because of the unloading-induced lack of sensory feedback. This primarily applied to the younger, first-steps group. We predicted changes to mainly occur in the two just emerged (or still emerging) locomotor synergies (<xref ref-type="bibr" rid="B17">Dominici et al., 2011</xref>), in particular by their altered strength (or amplitude). We anticipated changes in muscle activation to be also visible in the spatial representation, or synergies&#x2019; weightings, given the known changes in co-contraction within and between the legs around the onset of independent walking (<xref ref-type="bibr" rid="B77">Yang et al., 1998</xref>). Accordingly, we expected that muscle synergies were accompanied by densely connected networks containing several (functional) clusters associated with the BWS level.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>Materials and Methods</title>
<sec id="s2-1">
<title>Participants</title>
<p>Sixteen typically developing children were included in this study (age range between 10.9 and 23.1&#xa0;months, all born at term). Children were divided into two groups based on their walking experience, the FS and FS&#x2b; groups. In the FS group, we included toddlers during their first independent steps (within 3&#xa0;weeks of walking experience) and in the FS&#x2b; group toddlers with around 6&#xa0;months of walking experience. Seven children were measured two times (<xref ref-type="sec" rid="s12">Supplementary Table A.1</xref>). Subjects visited the BabyGaitLab of the Department of Human Movement Sciences, Vrije Universiteit Amsterdam, wore a diaper during all measurements and walked without shoes. Familiarisation time was incorporated such that children had time to get comfortable to the lab and the experimenters. Ethical approval conform the Declaration of Helsinki was obtained at the Faculty of Behavioural and Movement Sciences (VCWE-2016&#x2013;082) and parents signed the informed consent after a written and verbal explanation of the study.</p>
<p>To assess the first independent steps, we established regular contact with the parents that were monitoring their child&#x2019;s walking ability. Recording sessions were scheduled as soon as the parents reported that the child was able to walk independently for at least four consecutive steps. This moment was defined as &#x201c;walking onset&#x201d; with which we determined the corresponding &#x201c;walking age&#x201d; (<xref ref-type="sec" rid="s12">Supplementary Table A.1</xref>). We recorded the first unsupported steps in fourteen toddlers, (FS group, mean age 14.1, range (10.9&#x2013;17.2) months old), and nine children were recorded about 6&#xa0;months after the first independent steps (FS&#x2b; group, mean age 19.6, range (16.5&#x2013;23.1) months old).</p>
</sec>
<sec id="s2-2">
<title>Setup</title>
<p>The experimental procedure was adapted to the children such that one experimenter and one parent were located next the child to reduce the risks of falling and to make sure that the child always felt comfortable. Children were encouraged to make steps while supported by their hands or their trunk above a running treadmill. An additional weighting trial was recorded during each session while the child was standing or sitting quietly on the non-running treadmill for at least 2&#xa0;seconds.</p>
<p>Treadmill speed was tuned to elicit stepping movements and adjusted to a comfortable speed for the child based on his/her walking capacity; mean walking speed 0.7 &#xb1; 0.3 and 1.0 &#xb1; 0.3&#xa0;km/h for the FS and FS&#x2b; group, respectively. To assess the influence of body support on the motor output, we recorded trials while an experimenter firmly supported the child&#x2019;s trunk with both hands while sitting on a bench behind the child and applied an approximately constant vertical force during several consecutive strides on the treadmill (<xref ref-type="sec" rid="s12">Supplementary Figure A.1 A</xref>). In addition, the forearm of the experimenter holding the toddlers were supported to guarantee that an approximately constant vertical force was applied during consecutive strides and limit the possibility of imposing movements on the toddlers (<xref ref-type="sec" rid="s12">Supplementary Figure A.1 B</xref>). Manual unloading was previously used in infants (<xref ref-type="bibr" rid="B69">Thelen and Cooke, 1987</xref>; <xref ref-type="bibr" rid="B77">Yang et al, 1998</xref>; <xref ref-type="bibr" rid="B45">Lam and Yang, 2000</xref>; <xref ref-type="bibr" rid="B57">Pang and Yang, 2000</xref>; <xref ref-type="bibr" rid="B44">Lam et al, 2003</xref>; <xref ref-type="bibr" rid="B76">Yang et al, 2005</xref>; <xref ref-type="bibr" rid="B18">Dominici et al., 2007</xref>; <xref ref-type="bibr" rid="B73">Vasudevan et al, 2016</xref>). It is a natural strategy adopted by parents to support their children during walking and avoids potential changes in the walking patterns through external equipment. The amount of body unloading was varied trial by trial to cover a wide range of levels from low until high level of BWS. Whenever feasible, additional trials were recorded while the experimenter held one or two hands or the trunk to stabilise the body during walking and supplied only limited vertical force, which was typically less than 20% of the body weight.</p>
</sec>
<sec id="s2-3">
<title>Data Acquisition</title>
<p>Kinematic and video data were collected with a Vicon motion capture system (10 Vicon Vero v2.2 cameras and Vue Vicon camera, Oxford, UK) and sampled at 100&#xa0;Hz. Vertical ground reaction forces were recorded with a force plate and sampled at 1&#xa0;kHz (N-Mill 60 &#xd7; 150&#xa0;cm, Motek Medical BV, Amsterdam, the Netherlands). Force sensors with a sensitivity of 3N were installed in the force platform to measure low body weight values.</p>
<p>Electromyography (EMG) was recorded of 18&#x2013;24 bilateral leg and back muscles. The following set of muscles was recorded simultaneously from both body sides: tibialis anterior (TA), gastrocnemius medialis (GM), gastrocnemius lateralis (GL), soleus (SOL), rectus femoris (RF), vastus medialis (VM), vastus lateralis (VL), biceps femoris (BF), semitendinosus (SEM), tensor fascia latae (TFL), gluteus maximus (GLM), erector spinae recorded at L2 (ES). The skin was cleaned with alcohol and micro golden Cometa golden disc-electrodes pairs (acquisition area of 4&#xa0;mm<sup>2</sup>) were placed at the approximate location of the muscle with an inter-electrode distance of 10&#xa0;mm. To minimise movement artefacts, pre-amplified EMG sensor units were attached with double tape to the skin of the child and fixed with elastic gauzes. EMG data were recorded using Cometa Mini Wave Wireless EMG system (Cometa srl, Italy) and sampled at 2&#xa0;kHz after online band-pass filtering between 10 and 500&#xa0;Hz. EMG, kinematic, force and video data were synchronised online.</p>
</sec>
<sec id="s2-4">
<title>Data Analysis</title>
<sec id="s2-4-1">
<title>Kinematics</title>
<p>We analysed the video recordings frame by frame to identify the foot strike and foot off events of both feet. A gait cycle was defined from the right leg starting with the foot strike (0%) to the consecutive strike of the right foot (100%). We considered a sequence of strides successful if at least three consecutive strides were present. The first and last stride in each sequence as well as jumps or other interruptions were excluded from subsequent analyses.</p>
</sec>
<sec id="s2-4-2">
<title>Body Weight Support</title>
<p>The vertical force data were low pass filtered (12th order bi-directional Butterworth filter, cut-off frequency at 20&#xa0;Hz) and the average amount of force was computed per gait cycle. We specified the amount of external BWS as the percentage reduction of the mean vertical force during a stride compared to the estimated body weight that we determined during the weighting trial. In our previous work (<xref ref-type="bibr" rid="B18">Dominici et al., 2007</xref>), we showed significant differences in foot coordination when toddlers were supported for more than 30% of their body weight, while adults and older children showed only minimal changes. Based on these results, four levels of BWS were selected. Per subject, gait cycles were hence grouped into four different BWS levels: no (&#x3c;10%), low (10&#x2013;35%), medium (35&#x2013;55%) and high (55&#x2013;95%) support (<xref ref-type="sec" rid="s12">Supplementary Table A.1</xref>).</p>
</sec>
<sec id="s2-4-3">
<title>Electromyography</title>
<p>EMG signals were visually inspected and pre-processed by linearly interpolating &#xb1;150&#xa0;ms epochs around peaks that exceeded ten times the signal&#x2019;s standard deviation. These data were high-pass filtered (30&#xa0;Hz) with a second order bi-directional Butterworth filter and notch filtered (fourth order) to remove the power line artefact. Subsequently, EMG envelopes were extracted as modulus of the analytic signal (<xref ref-type="bibr" rid="B55">Myers et al., 2003</xref>; <xref ref-type="bibr" rid="B8">Boonstra and Breakspear, 2012</xref>). We applied a low-pass filter (second order Butterworth filter, cut-off frequency at 5&#xa0;Hz) to obtain the slow-temporal changes in muscle activity. Finally, envelopes were time normalised to 200 samples per gait cycle (<xref ref-type="bibr" rid="B31">Ivanenko et al., 2005</xref>; <xref ref-type="bibr" rid="B11">Cappellini and Ivanenko, 2006</xref>; <xref ref-type="bibr" rid="B17">Dominici et al., 2011</xref>) and scaled to the mean amplitude per muscle of the low level of support (10&#x2013;35% BWS). For every BWS level, we used the bilateral EMG patterns for all individual subjects and pooled all gait cycles of all subjects to determine the grand averages for both groups.</p>
</sec>
<sec id="s2-4-4">
<title>Muscle Synergies</title>
<p>Muscle synergies were estimated using non-negative matrix factorisation (NNMF, <xref ref-type="bibr" rid="B46">Lee and Seung, 1999</xref>) by a multiplicative update algorithm over one to seven synergies. Briefly, NNMF decomposes the original EMG matrix into (small number of) temporal patterns and weighting coefficients:<disp-formula id="equ1">
<mml:math id="m1">
<mml:mrow>
<mml:mtext>EMG</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mtext>n</mml:mtext>
</mml:munderover>
<mml:msub>
<mml:mtext>P</mml:mtext>
<mml:mtext>i</mml:mtext>
</mml:msub>
<mml:mo>&#x22c5;</mml:mo>
<mml:msub>
<mml:mtext>W</mml:mtext>
<mml:mtext>i</mml:mtext>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>error</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>where <inline-formula id="inf1">
<mml:math id="m2">
<mml:mtext>P</mml:mtext>
</mml:math>
</inline-formula> represents the temporal activation patterns of the synergies (<inline-formula id="inf2">
<mml:math id="m3">
<mml:mrow>
<mml:mtext>n</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>s</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> matrix, where <inline-formula id="inf3">
<mml:math id="m4">
<mml:mtext>n</mml:mtext>
</mml:math>
</inline-formula> denotes a pre-defined number of synergies, <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:mtext>n</mml:mtext>
<mml:mo>&#x2264;</mml:mo>
<mml:mtext>m</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>, where <inline-formula id="inf5">
<mml:math id="m6">
<mml:mtext>m</mml:mtext>
</mml:math>
</inline-formula> is the number of muscles) and <inline-formula id="inf6">
<mml:math id="m7">
<mml:mtext>W</mml:mtext>
</mml:math>
</inline-formula> the synergies&#x2019; weighting coefficients (<inline-formula id="inf7">
<mml:math id="m8">
<mml:mrow>
<mml:mtext>m</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>n</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> matrix).</p>
<p>Per group, we estimated muscle synergies for the grand-averaged EMG activities of the four BWS levels and concatenated them to obtain a <inline-formula id="inf8">
<mml:math id="m9">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtext>s</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>k</mml:mtext>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>m</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> matrix, where <inline-formula id="inf9">
<mml:math id="m10">
<mml:mrow>
<mml:mtext>s</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>200</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> is the number of samples, <inline-formula id="inf10">
<mml:math id="m11">
<mml:mrow>
<mml:mtext>m</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>24</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> the number of muscles and <inline-formula id="inf11">
<mml:math id="m12">
<mml:mrow>
<mml:mtext>k</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> the levels of body weight support, yielding a <inline-formula id="inf12">
<mml:math id="m13">
<mml:mrow>
<mml:mn>800</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>24</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> matrix. In this form, our NNMF resulted in temporal patterns per BWS level and fixed synergies&#x2019; weighting coefficients across the levels of support. We also decomposed the original EMG signals for all individual subjects, for which we used the averaged EMG activities per subject for every BWS level; the corresponding results can be found in <xref ref-type="sec" rid="s12">Supplementary Figure A.2</xref>. The reconstruction quality of the synergies was determined as the contribution of the synergies to the Frobenius norm <inline-formula id="inf13">
<mml:math id="m14">
<mml:mtext>&#x3bb;</mml:mtext>
</mml:math>
</inline-formula> of the original signal (<inline-formula id="inf14">
<mml:math id="m15">
<mml:mrow>
<mml:mtext>EMG</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>):<disp-formula id="equ2">
<mml:math id="m16">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3bb;</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2225;</mml:mo>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>G</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:msup>
<mml:msup>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:msup>
<mml:msubsup>
<mml:mo>&#x2225;</mml:mo>
<mml:mi>F</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2225;</mml:mo>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>G</mml:mi>
<mml:msubsup>
<mml:mo>&#x2225;</mml:mo>
<mml:mi>F</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mi mathvariant="normal">&#xd7;</mml:mi>
<mml:mn>100</mml:mn>
<mml:mi mathvariant="normal">%</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>The number of synergies was selected such that the reconstruction of the synergies should exceed 88% of the Frobenius norm of the original signal per level of support (<xref ref-type="bibr" rid="B80">Zandvoort et al, 2019</xref>; <xref ref-type="bibr" rid="B39">Kerkman et al., 2020</xref>; <xref ref-type="bibr" rid="B2">Bach et al., 2021</xref>).</p>
<p>For every resulting synergy, the mean amplitude of the temporal pattern was determined for every BWS level relative to the no-support level to assess changes in the amount of muscle activity across the gait cycle. We normalised the amplitude of the temporal pattern to the maximum value over the gait cycle to discard amplitude effects and to verify whether changes in the temporal pattern were induced by a change in the waveform itself. An enlarged normalised amplitude indicated a longer peak duration of the temporal pattern. Finally, to quantify the similarity between temporal patterns independent of amplitude, we estimated the circular cross correlation (<xref ref-type="bibr" rid="B56">Oppenheim et al., 2001</xref>) between different levels of support.</p>
</sec>
<sec id="s2-4-5">
<title>Muscle Synergy Networks</title>
<p>Network analysis (<xref ref-type="bibr" rid="B10">Bullmore and Sporns, 2009</xref>; <xref ref-type="bibr" rid="B7">Betzel and Bassett, 2017</xref>) was performed to compare the spatial representation of the muscle synergies between groups (<xref ref-type="bibr" rid="B9">Boonstra et al., 2015</xref>; <xref ref-type="bibr" rid="B40">Kerkman et al., 2018</xref>; <xref ref-type="bibr" rid="B53">Murphy et al., 2018</xref>). We constructed muscle networks (<xref ref-type="bibr" rid="B39">Kerkman et al., 2020</xref>) for which we first scaled the synergies&#x2019; weightings coefficients by the sum of the integrals of the temporal patterns to correct for overall amplitude effects. Using the outer product of the scaled synergies&#x2019; weightings, we obtained a <inline-formula id="inf15">
<mml:math id="m17">
<mml:mrow>
<mml:mn>24</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>24</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> connectivity matrix per synergy. A bipartite muscle network (<xref ref-type="bibr" rid="B53">Murphy et al., 2018</xref>) was created, in which muscles served as nodes and where edges were given as the afore-defined weighted appearance of two muscles in the same synergy (i.e., the elements of the connectivity matrix). The connectivity matrices of all synergies were thresholded with an absolute threshold of 5&#xb7;10<sup>&#x2212;5</sup> and we determined the density and the transitivity of every synergy network (<xref ref-type="bibr" rid="B39">Kerkman et al., 2020</xref>). Network density and transitivity served to quantify (changes of) network topology in terms of the number and clustering of connections, respectively (<xref ref-type="bibr" rid="B63">Rubinov and Sporns, 2010</xref>).</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<sec id="s3-1">
<title>Effect of Body Weight Support on Muscle Activity</title>
<p>The mean muscle activity over subjects per level of support showed a decreased amplitude and increased duration of the peak activity of several&#x2014;mainly upper leg&#x2014;muscles active at the foot strikes when weight support was increased (<xref ref-type="fig" rid="F1">Figure 1</xref>). This effect was most pronounced in the FS group between low and medium BWS.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Muscle activities&#x2014;grand average per group. Green, cyan, blue and dark blue represent no, low, medium, and high body weight support, respectively. Error patches represent the standard errors of the mean, which turned out very small.</p>
</caption>
<graphic xlink:href="fnetp-02-844607-g001.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>Effect of Body Weight Support on Muscle Synergies</title>
<p>For both groups, four synergies were required to cover 88% or more of the original signal&#x2019;s Frobenius norm (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Contribution of the synergies to the Frobenius norm (<inline-formula id="inf16">
<mml:math id="m18">
<mml:mi mathvariant="bold-italic">&#x3bb;</mml:mi>
</mml:math>
</inline-formula>) of the original concatenated EMGs. <inline-formula id="inf17">
<mml:math id="m19">
<mml:mi>&#x3bb;</mml:mi>
</mml:math>
</inline-formula> was computed across all conditions as well as per level of support.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Group</th>
<th align="center">&#x23; of synergies</th>
<th align="center">Across conditions (%)</th>
<th align="center">No (%)</th>
<th align="center">Low (%)</th>
<th align="center">Medium (%)</th>
<th align="center">High (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">FS</td>
<td align="char" char=".">4</td>
<td align="char" char=".">89</td>
<td align="char" char=".">88</td>
<td align="char" char=".">89</td>
<td align="char" char=".">90</td>
<td align="char" char=".">92</td>
</tr>
<tr>
<td align="left">FS&#x2b;</td>
<td align="char" char=".">4</td>
<td align="char" char=".">89</td>
<td align="char" char=".">89</td>
<td align="char" char=".">88</td>
<td align="char" char=".">90</td>
<td align="char" char=".">90</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Toddlers in the FS group displayed four synergies, of which two were primarily active during the right (S1) and left foot strike (S3), while the other two were active during the stance phase of the right (S2) and left leg (S4, <xref ref-type="fig" rid="F2">Figure 2A</xref>). These right and left synergies appeared to be symmetric by mean of contributions of muscles of the right and left side (<xref ref-type="fig" rid="F2">Figure 2B</xref>). The mean amplitude of the foot strike synergies decreased incrementally with respect to no support with unloading: &#x2212;17, &#x2212;39 and &#x2212;49%, and &#x2212;36, &#x2212;51 and &#x2212;62% for S1 and S3, respectively, whereas the mean amplitude in S2 mainly increased (&#x2b;13, &#x2b;6 and &#x2212;2%) and in S4 remained almost constant between low, medium and high support (&#x2b;25, &#x2b;23 and &#x2b;22%, respectively; <xref ref-type="fig" rid="F2">Figure 2C</xref>). Next to the change in amplitude, the shape of the temporal patterns of S3 and S4 changed substantially: The circular cross correlation between no and high and low and high support decreased to 0.959 and 0.944 in S3, and in S4 between no and medium to 0.969 and between no and high support to 0.934 (<xref ref-type="fig" rid="F2">Figure 2E</xref>). These changes seemingly reflected an elongated peak duration (<xref ref-type="fig" rid="F2">Figure 2D</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Muscle synergies and muscle synergy network in the FS group. <bold>(A)</bold> Temporal patterns and <bold>(B)</bold> synergies&#x2019; weighting coefficients. <bold>(C)</bold> Mean amplitude and <bold>(D)</bold> normalised mean amplitude of the synergy temporal pattern over the gait cycle, and <bold>(E)</bold> the circular cross correlation between the temporal pattern of the different levels of support. <bold>(F)</bold> Muscle synergy network on the toddler&#x2019;s body mesh (MakeHuman 2018) based on the synergies&#x2019; weightings; node size represents the muscle degree and edge thickness the connection strength between muscles. Green, cyan, blue and dark blue represent no, low, medium, and high body weight support, respectively, in <bold>(A,C,D)</bold>.</p>
</caption>
<graphic xlink:href="fnetp-02-844607-g002.tif"/>
</fig>
<p>The FS&#x2b; group also showed four synergies, which were like those in the FS group (<xref ref-type="fig" rid="F3">Figure 3</xref>). Again, there was a foot strike synergy for both right and left leg (S1 and S3) and two synergies active during the right and left stance phase (S2 and S4). The mean amplitude of the temporal pattern decreased compared to the no BWS condition in S1 and S3 (&#x2212;18, &#x2212;37 and &#x2212;49%, and &#x2212;19, &#x2212;44 and &#x2212;67% in S1 and S3, respectively), while the mean amplitude of S2 and S4 increased (&#x2b;8, &#x2b;7 and &#x2b;14%, and &#x2b;2, &#x2b;7, and &#x2b;25%) in low, medium and high BWS, respectively. The similarity in shape of the temporal patterns (circular cross correlation) decreased to a minimum of 0.966 in S3 between no and high BWS, which implies that the temporal pattern barely changed in waveform in the FS&#x2b; group.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Muscle synergies and muscle synergy network in the FS&#x2b; group. <bold>(A)</bold> Temporal patterns and <bold>(B)</bold> synergies&#x2019; weighting coefficients. <bold>(C)</bold> Mean amplitude and <bold>(D)</bold> normalised mean amplitude of the synergy temporal pattern over the gait cycle, and <bold>(E)</bold> the circular cross correlation between the temporal pattern of the different levels of support. <bold>(F)</bold> Muscle synergy network on the toddler&#x2019;s body mesh (MakeHuman 2018) based on the synergies&#x2019; weightings; node size represents the muscle degree and edge thickness the connection strength between muscles. Green, cyan, blue and dark blue represent no, low, medium, and high body weight support, respectively, in <bold>(A,C,D)</bold>.</p>
</caption>
<graphic xlink:href="fnetp-02-844607-g003.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>Effect of Body Weight Support on Muscle Synergy Networks</title>
<p>The spatial representation of the muscle synergies of both groups revealed similarities in their muscle networks (<xref ref-type="fig" rid="F2">Figures 2F</xref> and <xref ref-type="fig" rid="F3">3F</xref>). Yet, their network characteristics differed: the number of connections (density) of one muscle to another, i.e., whether muscles were active in the same synergy, was larger in FS compared to FS&#x2b; across synergies: &#x2b;9, &#x2b;70, &#x2b;10 and &#x2b;45%. Especially in the foot strike synergies (S1 and S3), we found a larger number of interlimb connections in the FS compared to the FS&#x2b; group. The transitivity was higher in FS compared to FS&#x2b; in all synergies except of S3 indicating more clusters in the synergy networks in toddlers at the onset of walking (cf. <xref ref-type="table" rid="T2">Table 2</xref>).</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Network density and transitivity per synergy for FS and FS&#x2b; Transitivity is <inline-formula id="inf18">
<mml:math id="m20">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>5</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Group</th>
<th align="center">Network metric</th>
<th align="center">S1</th>
<th align="center">S2</th>
<th align="center">S3</th>
<th align="center">S4</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">FS</td>
<td align="left">density</td>
<td align="char" char=".">0.21</td>
<td align="char" char=".">0.23</td>
<td align="char" char=".">0.28</td>
<td align="char" char=".">0.21</td>
</tr>
<tr>
<td align="left">FS&#x2b;</td>
<td align="left"/>
<td align="char" char=".">0.19</td>
<td align="char" char=".">0.13</td>
<td align="char" char=".">0.15</td>
<td align="char" char=".">0.15</td>
</tr>
<tr>
<td align="left">FS</td>
<td align="left">transitivity</td>
<td align="char" char=".">7.9</td>
<td align="char" char=".">5.2</td>
<td align="char" char=".">4.6</td>
<td align="char" char=".">5.2</td>
</tr>
<tr>
<td align="left">FS&#x2b;</td>
<td align="left"/>
<td align="char" char=".">5.8</td>
<td align="char" char=".">3.8</td>
<td align="char" char=".">5.5</td>
<td align="char" char=".">2.8</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>For the currently study, we asserted the importance of body weight control in the development of independent walking. As expected, we found adaptations in temporal patterns of the muscle synergies when toddlers around their first independent steps were supported. We also found differences between the spatial representation between toddlers at the onset of walking and with half a year of walking experience. The motor pattern of these toddlers were similar to those of older children and adults as reported in the literature (<xref ref-type="bibr" rid="B34">Ivanenko et al., 2004</xref>; <xref ref-type="bibr" rid="B31">Ivanenko et al., 2005</xref>; <xref ref-type="bibr" rid="B79">Yokoyama et al, 2016</xref>). Both groups revealed four synergies with separate foot strike and stance phase synergies; the mean amplitude of the foot strike synergies decreased with increasing body weight support. It seems that, at the onset of walking, the coordination of muscle activity is reasonably developed allowing for independent walking, presuming a sufficient amount and quality of sensory feedback. However, the shape of the temporal pattern of the left foot strike and left stance phase synergies changed in toddlers at their first independent steps suggesting that the motor pattern in toddlers depends on the amount of support, while this dependency may be absent in older children, similar to adults (<xref ref-type="bibr" rid="B34">Ivanenko et al., 2004</xref>). Differences in spatial representation identified here demonstrated higher connectivity in the FS group compared to the FS&#x2b; group. This might have been caused by increased co-contractions and less specified contributions of muscles to the muscle synergies. The changes and differences arguably imply that the ability to control the body weight is a key element in the development of independent walking in children. In addition, the large number of interlimb connections found in the FS group are compatible with the idea that spinal network of interneurons project to multiple motor neurons pools, including distant motor neurons pools (<xref ref-type="bibr" rid="B47">Levine et al., 2014</xref>; <xref ref-type="bibr" rid="B67">Takei et al., 2017</xref>; <xref ref-type="bibr" rid="B30">Hug et al., 2021</xref>). These spinal networks seem to be largely involved in the coordination of toddler&#x2019;s muscle activity during their first independent steps. Our results are in line with recent studies showing task-specific connectivity in the neuromuscular system during postural and walking tasks (<xref ref-type="bibr" rid="B9">Boonstra et al., 2015</xref>; <xref ref-type="bibr" rid="B14">Conway et al., 1995</xref>; <xref ref-type="bibr" rid="B23">Farmer et al., 1993</xref>; <xref ref-type="bibr" rid="B40">Kerkman et al., 2018</xref>; <xref ref-type="bibr" rid="B39">2020</xref>).</p>
<p>Even when toddlers are only able to walk a few steps unsupported, four muscle synergies suffice to explain muscle activities during walking. This agrees with findings in older children and adults (<xref ref-type="bibr" rid="B17">Dominici et al., 2011</xref>). Here, the shapes of the temporal patterns were consistent across BWS levels. The amplitudes of the foot strike synergies, however, were clearly affected by BWS. This was probably due to a decrease in muscle effort to support the own body weight. It seems that the primary walking pattern is present at the onset of walking but that it can be modulated to account for body weight control requirements.</p>
<p>Despite the growing interest in the application of BWS in pediatric rehabilitation until now just few studies investigated the effect of body weight unloading in young children. We found changes in the muscle synergies of toddlers at the onset of independent walking in the shape of some of the temporal patterns when supported for more than 35%. This indicates that unloading affects motor control in these children. When unloaded, the available gravity-related information that can be transferred via Ib-afferents is reduced (<xref ref-type="bibr" rid="B28">Harkema et al., 1997</xref>; <xref ref-type="bibr" rid="B57">Pang and Yang, 2000</xref>). In toddlers at the onset of independent walking, the sensitivity and gain of the load-receptors might not be fully developed, and the motor system may not be able to account for a change in body weight support by modulating the gain of the feedback. The inability to integrate these load changes is supported by the observed overshoot of the foot in the swing phase in this age group (<xref ref-type="bibr" rid="B18">Dominici et al., 2007</xref>). When toddlers are unloaded for more than one third of their body weight, the information received by the neuromuscular system seems insufficient to preserve the primary motor pattern for walking, while this effect on motor control disappears in older children and adults when unloaded (<xref ref-type="bibr" rid="B34">Ivanenko et al., 2004</xref>).</p>
<p>BWS training has shown positive effects in the rehabilitation after stroke (<xref ref-type="bibr" rid="B64">Sale et al., 2012</xref>; <xref ref-type="bibr" rid="B52">Moraru and Onose, 2014</xref>) and spinal cord injury (<xref ref-type="bibr" rid="B29">Hubli and Dietz, 2013</xref>), and in the presence of Parkinson&#x2019;s disease (<xref ref-type="bibr" rid="B50">Miyai et al., 2000</xref>; <xref ref-type="bibr" rid="B59">Picelli et al., 2013</xref>). In children with cerebral palsy, however, appear less promising (<xref ref-type="bibr" rid="B15">Damiano and DeJong 2009</xref>; <xref ref-type="bibr" rid="B54">Mutlu et al., 2009</xref>; <xref ref-type="bibr" rid="B75">Willoughby et al., 2009</xref>). Whether or not the diversity of finding in this degenerative disease has been cause by the age range of include patients remain opaque. Our results suggest that targeting load-regulating mechanisms in children should be most effective at very early age.</p>
<p>Striking is that only the newly developed synergies that are active during the foot strikes decreased in amplitude when unloaded. This suggests a phase-specific effect of body weight unloading, which has also been found in adults (<xref ref-type="bibr" rid="B24">Finch et al., 1991</xref>; <xref ref-type="bibr" rid="B28">Harkema et al., 1997</xref>; <xref ref-type="bibr" rid="B66">Sylos-Labini et al, 2014</xref>). The foot strike synergies may have a different origin than the stance phase synergies and they may be differently controlled. This supports a synergy-specific sensitivity for changes in the amount of body weight control. Some synergies may need proprioceptive feedback in the modulation of the synergy, while others operate without any proprioceptive or supra-spinal input (<xref ref-type="bibr" rid="B27">Grillner, 1973</xref>; <xref ref-type="bibr" rid="B28">Harkema et al., 1997</xref>) and, hence, remain largely unaltered despite of weight-bearing experiences during the first year (<xref ref-type="bibr" rid="B78">Yang et al, 2019</xref>). Cortico-muscular coherence found during the double support phase (<xref ref-type="bibr" rid="B62">Roeder et al., 2018</xref>) may suggest that the foot strike synergies are cortically controlled, while the other synergies may be controlled by brainstem and spinal networks (<xref ref-type="bibr" rid="B41">Labini et al., 2011</xref>; <xref ref-type="bibr" rid="B43">Lacquaniti et al., 2012</xref>). This arguably points at distinct neural origins of the synergies with different functions and sensitivities for gravity-related information.</p>
<p>By comparing toddlers at the onset of walking and half a year later, we found a changed spatial representation with a less densely connected muscle network in the younger group. Despite of similar muscle synergy activity patterns, the muscle clustering, and the contribution of muscles within the synergies evolved after a child started to walk independently. Yet, this reorganisation did not merely result from unloading (<xref ref-type="sec" rid="s12">Supplementary Figure A.3</xref>), and changes in the networks were not consistent across synergies (e.g., no increased density in FS in all synergies). Hence, they could be the result of a combination of a decrease in co-contraction (<xref ref-type="bibr" rid="B68">Teulier et al, 2012</xref>) and a phase-specific reorganisation of muscle clustering.</p>
<sec id="s4-1">
<title>Limitations</title>
<p>The children involved in the current study were small, yielding limited space for EMG electrodes. Recall that we recorded multi-EMGs were recorded simultaneously. Potentially that may jeopardise data quality due to electrical crosstalk between adjacent muscles. However, the small size of the EMG electrodes used in our recordings and the chosen interelectrode distance should have minimised the pickup from adjacent muscles. Although it is not possible to separate co-activation from crosstalk in nearby muscles, muscle synergy analysis can identify whether a muscle is activated independent from a nearby muscle even in the presence of such crosstalk. Previous studies reported that if crosstalk did exist, it would likely have affected only the synergies&#x2019; weighting coefficients and not the number of muscle synergies or the temporal patterns (<xref ref-type="bibr" rid="B34">Ivanenko et al., 2004</xref>; <xref ref-type="bibr" rid="B13">Chvatal and Ting, 2013</xref>). Despite a proper skin preparation and EMG electrodes attachment, motion artefacts were still observed during foot strike in some of the lower limb muscles (TA, SOL). A pre-processing step was performed to the EMG signals to minimise these artefacts.</p>
<p>Muscle synergies are often estimated per subject (e.g., <xref ref-type="bibr" rid="B34">Ivanenko et al., 2004</xref>; <xref ref-type="bibr" rid="B17">Dominici et al., 2011</xref>). We must admit that in our toddlers&#x2019; group, it was quite difficult to collect EMG data from all muscles with sufficient steps in the four different BWS levels. To accommodate this, we averaged all steps across subjects. One may question the degree to which this grand average is representative for muscle synergies at single subject level. As expected, the single subject results were variable. Yet, when temporal patterns and synergies&#x2019; weightings coefficients were averaged over subjects, the results revealed similar temporal and spatial characteristics compared to the grand average results (<xref ref-type="sec" rid="s12">Supplementary Figure A.2</xref>).</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>Conclusion</title>
<p>Our results confirm that the ability for toddlers to control their own body weight is important in motor control during walking. Being at the onset of walking implies that the motor system can control independent walking. Yet, control processes continue to undergo modifications, arguably to integrate sensory feedback. Here, this was reflected in an amplitude decrease of the foot strike synergies when supported, i.e., a synergy-specific sensitivity of unloading. This can be a result of distinct neural mechanisms that may underlie the formation of synergies. Toddlers at the onset of walking showed a reorganisation of the spatial grouping of the muscles presumably due to immature motor control resulting in high co-contraction and less muscle-specific activity during the gait cycle. Unloading-induced motor adaptation was pronounced in these children when supported for more than 35% of their body weight. Apparently, motor control at the onset of walking is not fully developed, yet, and is modulated by loading-related feedback stressing its importance in the motor development of independent walking.</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Data Availability Statement</title>
<p>The data that support the findings of this study are available on request from the corresponding authors.</p>
</sec>
<sec id="s7">
<title>Ethics Statement</title>
<p>The studies involving human participants were reviewed and approved by the Faculty of Behavioural and Movement Sciences, Vrije Universiteit Amsterdam (VCWE-2016-082). Written informed consent to participate in this study was provided by the participants&#x2019; legal guardian/next of kin.</p>
</sec>
<sec id="s8">
<title>Author Contributions</title>
<p>JK, AD, and ND designed the experiment. JK, CZ, and ND conducted the recordings. JK analysed the data. The first draft of the manuscript was written by JK and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This project has received funding from the European Research Council (ERC) under the European Union&#x2019;s Horizon 2020 research and innovation programme under grant agreement No. 715945 Learn2Walk and from the Dutch Organisation for Scientific Research (NWO) VIDI grant (016.156.346 FirSTeps).</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ack>
<p>We would like to thank Annike Bekius with her help during data acquisition and the parents and children for their participation in the study.</p>
</ack>
<sec id="s12">
<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/fnetp.2022.844607/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fnetp.2022.844607/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Apte</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Plooij</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Vallery</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Influence of Body Weight Unloading on Human Gait Characteristics: a Systematic Review</article-title>. <source>J. Neuroengineering Rehabil.</source> <volume>15</volume> (<issue>1</issue>), <fpage>53</fpage>. <pub-id pub-id-type="doi">10.1186/s12984-018-0380-0</pub-id> </citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bach</surname>
<given-names>M. M.</given-names>
</name>
<name>
<surname>Daffertshofer</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Dominici</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Muscle Synergies in Children Walking and Running on a Treadmill</article-title>. <source>Front. Hum. Neurosci.</source> <volume>15</volume>, <fpage>637157</fpage>. <pub-id pub-id-type="doi">10.3389/fnhum.2021.637157</pub-id> </citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Balagu&#xe9;</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Hristovski</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Almarcha</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Garcia-Retortillo</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Ivanov</surname>
<given-names>P. C.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Network Physiology of Exercise: Vision and Perspectives</article-title>. <source>Front. Physiol.</source> <volume>11</volume>, <fpage>611550</fpage>. <pub-id pub-id-type="doi">10.3389/fphys.2020.611550</pub-id> </citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bashan</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Bartsch</surname>
<given-names>R. P.</given-names>
</name>
<name>
<surname>Kantelhardt</surname>
<given-names>J. W.</given-names>
</name>
<name>
<surname>Havlin</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Ivanov</surname>
<given-names>P. C.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Network Physiology Reveals Relations between Network Topology and Physiological Function</article-title>. <source>Nat. Commun.</source> <volume>3</volume> (<issue>702</issue>), <fpage>10</fpage>&#x2013;<lpage>1038</lpage>. <pub-id pub-id-type="doi">10.1038/ncomms1705</pub-id> </citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bassett</surname>
<given-names>D. S.</given-names>
</name>
<name>
<surname>Sporns</surname>
<given-names>O.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Network Neuroscience</article-title>. <source>Nat. Neurosci.</source> <volume>20</volume> (<issue>3</issue>), <fpage>353</fpage>&#x2013;<lpage>364</lpage>. <pub-id pub-id-type="doi">10.1038/nn.4502</pub-id> </citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Berger</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Quintern</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Dietz</surname>
<given-names>V.</given-names>
</name>
</person-group> (<year>1987</year>). <article-title>Afferent and Efferent Control of Stance and Gait: Developmental Changes in Children</article-title>. <source>Electroencephalography Clin. Neurophysiol.</source> <volume>66</volume> (<issue>3</issue>), <fpage>244</fpage>&#x2013;<lpage>252</lpage>. <pub-id pub-id-type="doi">10.1016/0013-4694(87)90073-3</pub-id> </citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Betzel</surname>
<given-names>R. F.</given-names>
</name>
<name>
<surname>Bassett</surname>
<given-names>D. S.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Generative Models for Network Neuroscience: Prospects and Promise</article-title>. <source>J. R. Soc. Interf.</source> <volume>14</volume> (<issue>136</issue>), <fpage>20170623</fpage>. <pub-id pub-id-type="doi">10.1098/rsif.2017.0623</pub-id> </citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Boonstra</surname>
<given-names>T. W.</given-names>
</name>
<name>
<surname>Breakspear</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Neural Mechanisms of Intermuscular Coherence: Implications for the Rectification of Surface Electromyography</article-title>. <source>J. Neurophysiol.</source> <volume>107</volume> (<issue>3</issue>), <fpage>796</fpage>&#x2013;<lpage>807</lpage>. <pub-id pub-id-type="doi">10.1152/jn.00066.2011</pub-id> </citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Boonstra</surname>
<given-names>T. W.</given-names>
</name>
<name>
<surname>Danna-Dos-Santos</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Xie</surname>
<given-names>H.-B.</given-names>
</name>
<name>
<surname>Roerdink</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Stins</surname>
<given-names>J. F.</given-names>
</name>
<name>
<surname>Breakspear</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Muscle Networks: Connectivity Analysis of EMG Activity during Postural Control</article-title>. <source>Sci. Rep.</source> <volume>5</volume>, <fpage>17830</fpage>. <pub-id pub-id-type="doi">10.1038/srep17830</pub-id> </citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bullmore</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Sporns</surname>
<given-names>O.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Complex Brain Networks: Graph Theoretical Analysis of Structural and Functional Systems</article-title>. <source>Nat. Rev. Neurosci.</source> <volume>10</volume> (<issue>3</issue>), <fpage>186</fpage>&#x2013;<lpage>198</lpage>. <pub-id pub-id-type="doi">10.1038/nrn2575</pub-id> </citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cappellini</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Ivanenko</surname>
<given-names>Y. P.</given-names>
</name>
<name>
<surname>Poppele</surname>
<given-names>R. E.</given-names>
</name>
<name>
<surname>Lacquaniti</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>Motor Patterns in Human Walking and Running</article-title>. <source>J. Neurophysiol.</source> <volume>95</volume> (<issue>6</issue>), <fpage>3426</fpage>&#x2013;<lpage>3437</lpage>. <pub-id pub-id-type="doi">10.1152/jn.00081.2006</pub-id> </citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chang</surname>
<given-names>C.-L.</given-names>
</name>
<name>
<surname>Kubo</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Buzzi</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>Ulrich</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>Early Changes in Muscle Activation Patterns of Toddlers during Walking</article-title>. <source>Infant Behav. Development</source> <volume>29</volume> (<issue>2</issue>), <fpage>175</fpage>&#x2013;<lpage>188</lpage>. <pub-id pub-id-type="doi">10.1016/j.infbeh.2005.10.001</pub-id> </citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chvatal</surname>
<given-names>S. A.</given-names>
</name>
<name>
<surname>Ting</surname>
<given-names>L. H.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Common Muscle Synergies for Balance and Walking</article-title>. <source>Front. Comput. Neurosci.</source> <volume>7</volume>, <fpage>48</fpage>. <pub-id pub-id-type="doi">10.3389/fncom.2013.00048</pub-id> </citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Conway</surname>
<given-names>B. A.</given-names>
</name>
<name>
<surname>Halliday</surname>
<given-names>D. M.</given-names>
</name>
<name>
<surname>Farmer</surname>
<given-names>S. F.</given-names>
</name>
<name>
<surname>Shahani</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>Maas</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Weir</surname>
<given-names>A. I.</given-names>
</name>
<etal/>
</person-group> (<year>1995</year>). <article-title>Synchronization between Motor Cortex and Spinal Motoneuronal Pool during the Performance of a Maintained Motor Task in Man</article-title>. <source>J. Physiol.</source> <volume>489</volume> (<issue>3</issue>), <fpage>917</fpage>&#x2013;<lpage>924</lpage>. <pub-id pub-id-type="doi">10.1113/jphysiol.1995.sp021104</pub-id> </citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Damiano</surname>
<given-names>D. L.</given-names>
</name>
<name>
<surname>DeJong</surname>
<given-names>S. L.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>A Systematic Review of the Effectiveness of Treadmill Training and Body Weight Support in Pediatric Rehabilitation</article-title>. <source>J. Neurol. Phys. Ther. JNPT</source> <volume>33</volume> (<issue>1</issue>), <fpage>27</fpage>&#x2013;<lpage>44</lpage>. <pub-id pub-id-type="doi">10.1097/npt.0b013e31819800e2</pub-id> </citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dietz</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Duysens</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>Significance of Load Receptor Input during Locomotion: a Review</article-title>. <source>Gait &#x26; Posture</source> <volume>11</volume> (<issue>2</issue>), <fpage>102</fpage>&#x2013;<lpage>110</lpage>. <pub-id pub-id-type="doi">10.1016/s0966-6362(99)00052-1</pub-id> </citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dominici</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Ivanenko</surname>
<given-names>Y. P.</given-names>
</name>
<name>
<surname>Cappellini</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>d&#x2019;Avella</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Mond&#xec;</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Cicchese</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2011</year>). <article-title>Locomotor Primitives in Newborn Babies and Their Development</article-title>. <source>Science</source> <volume>334</volume> (<issue>6058</issue>), <fpage>997</fpage>&#x2013;<lpage>999</lpage>. <pub-id pub-id-type="doi">10.1126/science.1210617</pub-id> </citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dominici</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Ivanenko</surname>
<given-names>Y. P.</given-names>
</name>
<name>
<surname>Lacquaniti</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Control of Foot Trajectory in Walking Toddlers: Adaptation to Load Changes</article-title>. <source>J. Neurophysiol.</source> <volume>97</volume> (<issue>4</issue>), <fpage>2790</fpage>&#x2013;<lpage>2801</lpage>. <pub-id pub-id-type="doi">10.1152/jn.00262.2006</pub-id> </citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Duysens</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Clarac</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Cruse</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>Load-regulating Mechanisms in Gait and Posture: Comparative Aspects</article-title>. <source>Physiol. Rev.</source> <volume>80</volume> (<issue>1</issue>), <fpage>83</fpage>&#x2013;<lpage>133</lpage>. <pub-id pub-id-type="doi">10.1152/physrev.2000.80.1.83</pub-id> </citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Duysens</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Pearson</surname>
<given-names>K. G.</given-names>
</name>
</person-group> (<year>1980</year>). <article-title>Inhibition of Flexor Burst Generation by Loading Ankle Extensor Muscles in Walking Cats</article-title>. <source>Brain Res.</source> <volume>187</volume> (<issue>2</issue>), <fpage>321</fpage>&#x2013;<lpage>332</lpage>. <pub-id pub-id-type="doi">10.1016/0006-8993(80)90206-1</pub-id> </citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Esteve-Altava</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Diogo</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Smith</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Boughner</surname>
<given-names>J. C.</given-names>
</name>
<name>
<surname>Rasskin-Gutman</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Anatomical Networks Reveal the Musculoskeletal Modularity of the Human Head</article-title>. <source>Sci. Rep.</source> <volume>5</volume>, <fpage>8298</fpage>. <pub-id pub-id-type="doi">10.1038/srep08298</pub-id> </citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Faes</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Nollo</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Jurysta</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Marinazzo</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Information Dynamics of Brain-Heart Physiological Networks during Sleep</article-title>. <source>New J. Phys.</source> <volume>16</volume> (<issue>10</issue>), <fpage>105005</fpage>. <pub-id pub-id-type="doi">10.1088/1367-2630/16/10/105005</pub-id> </citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Farmer</surname>
<given-names>S. F.</given-names>
</name>
<name>
<surname>Bremner</surname>
<given-names>F. D.</given-names>
</name>
<name>
<surname>Halliday</surname>
<given-names>D. M.</given-names>
</name>
<name>
<surname>Rosenberg</surname>
<given-names>J. R.</given-names>
</name>
<name>
<surname>Stephens</surname>
<given-names>J. A.</given-names>
</name>
</person-group> (<year>1993</year>). <article-title>The Frequency Content of Common Synaptic Inputs to Motoneurones Studied during Voluntary Isometric Contraction in Man</article-title>. <source>J. Physiol.</source> <volume>470</volume> (<issue>1</issue>), <fpage>127</fpage>&#x2013;<lpage>155</lpage>. <pub-id pub-id-type="doi">10.1113/jphysiol.1993.sp019851</pub-id> </citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Finch</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Barbeau</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Arsenault</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>1991</year>). <article-title>Influence of Body Weight Support on normal Human Gait: Development of a Gait Retraining Strategy</article-title>. <source>Phys. Ther.</source> <volume>71</volume> (<issue>11</issue>), <fpage>842</fpage>&#x2013;<lpage>855</lpage>. <pub-id pub-id-type="doi">10.1093/ptj/71.11.842</pub-id> </citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Forssberg</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>1985</year>). <article-title>Ontogeny of Human Locomotor Control I. Infant Stepping, Supported Locomotion and Transition to Independent Locomotion</article-title>. <source>Exp. Brain Res.</source> <volume>57</volume> (<issue>3</issue>), <fpage>480</fpage>&#x2013;<lpage>493</lpage>. <pub-id pub-id-type="doi">10.1007/bf00237835</pub-id> </citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Grillner</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Human Locomotor Circuits Conform</article-title>. <source>Science</source> <volume>334</volume> (<issue>6058</issue>), <fpage>912</fpage>&#x2013;<lpage>913</lpage>. <pub-id pub-id-type="doi">10.1126/science.1214778</pub-id> </citation>
</ref>
<ref id="B27">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Grillner</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>1973</year>). <source>Locomotion in the Spinal catControl of Posture and Locomotion</source>. <publisher-loc>Boston, MA</publisher-loc>: <publisher-name>Springer</publisher-name>, <fpage>515</fpage>&#x2013;<lpage>535</lpage>. <pub-id pub-id-type="doi">10.1007/978-1-4613-4547-3_42</pub-id> </citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Harkema</surname>
<given-names>S. J.</given-names>
</name>
<name>
<surname>Hurley</surname>
<given-names>S. L.</given-names>
</name>
<name>
<surname>Patel</surname>
<given-names>U. K.</given-names>
</name>
<name>
<surname>Requejo</surname>
<given-names>P. S.</given-names>
</name>
<name>
<surname>Dobkin</surname>
<given-names>B. H.</given-names>
</name>
<name>
<surname>Edgerton</surname>
<given-names>V. R.</given-names>
</name>
</person-group> (<year>1997</year>). <article-title>Human Lumbosacral Spinal Cord Interprets Loading during Stepping</article-title>. <source>J. Neurophysiol.</source> <volume>77</volume> (<issue>2</issue>), <fpage>797</fpage>&#x2013;<lpage>811</lpage>. <pub-id pub-id-type="doi">10.1152/jn.1997.77.2.797</pub-id> </citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hubli</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Dietz</surname>
<given-names>V.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>The Physiological Basis of Neurorehabilitation - Locomotor Training after Spinal Cord Injury</article-title>. <source>J. NeuroEngineering Rehabil.</source> <volume>10</volume>, <fpage>5</fpage>. <pub-id pub-id-type="doi">10.1186/1743-0003-10-5</pub-id> </citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hug</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Avrillon</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Sarcher</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Del Vecchio</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Farina</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Networks of Common Inputs to Motor Neurons of the Lower Limb Reveal Neural Synergies that Only Partly Overlap with Muscle Innervation</article-title>. <source>bioRxiv</source>. <pub-id pub-id-type="doi">10.1101/2021.10.13.460524</pub-id> </citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ivanenko</surname>
<given-names>Y. P.</given-names>
</name>
<name>
<surname>Cappellini</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Dominici</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Poppele</surname>
<given-names>R. E.</given-names>
</name>
<name>
<surname>Lacquaniti</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Coordination of Locomotion with Voluntary Movements in Humans</article-title>. <source>J. Neurosci.</source> <volume>25</volume> (<issue>31</issue>), <fpage>7238</fpage>&#x2013;<lpage>7253</lpage>. <pub-id pub-id-type="doi">10.1523/JNEUROSCI.1327-05.2005</pub-id> </citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ivanenko</surname>
<given-names>Y. P.</given-names>
</name>
<name>
<surname>Dominici</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Lacquaniti</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Development of Independent Walking in Toddlers</article-title>. <source>Exerc. Sport Sci. Rev.</source> <volume>35</volume> (<issue>2</issue>), <fpage>67</fpage>&#x2013;<lpage>73</lpage>. <pub-id pub-id-type="doi">10.1249/JES.0b013e31803eafa8</pub-id> </citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ivanenko</surname>
<given-names>Y. P.</given-names>
</name>
<name>
<surname>Grasso</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Macellari</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Lacquaniti</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>Control of Foot Trajectory in Human Locomotion: Role of Ground Contact Forces in Simulated Reduced Gravity</article-title>. <source>J. Neurophysiol.</source> <volume>87</volume> (<issue>6</issue>), <fpage>3070</fpage>&#x2013;<lpage>3089</lpage>. <pub-id pub-id-type="doi">10.1152/jn.2002.87.6.3070</pub-id> </citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ivanenko</surname>
<given-names>Y. P.</given-names>
</name>
<name>
<surname>Poppele</surname>
<given-names>R. E.</given-names>
</name>
<name>
<surname>Lacquaniti</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Five Basic Muscle Activation Patterns Account for Muscle Activity during Human Locomotion</article-title>. <source>J. Physiol.</source> <volume>556</volume> (<issue>1</issue>), <fpage>267</fpage>&#x2013;<lpage>282</lpage>. <pub-id pub-id-type="doi">10.1113/jphysiol.2003.057174</pub-id> </citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ivanov</surname>
<given-names>P. C.</given-names>
</name>
<name>
<surname>Bartsch</surname>
<given-names>R. P.</given-names>
</name>
<name>
<surname>Bartsch</surname>
<given-names>R. P.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Focus on the Emerging New fields of Network Physiology and Network Medicine</article-title>. <source>New J. Phys.</source> <volume>18</volume> (<issue>10</issue>), <fpage>100201</fpage>. <pub-id pub-id-type="doi">10.1088/1367-2630/18/10/100201</pub-id> </citation>
</ref>
<ref id="B36">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Ivanov</surname>
<given-names>P. C.</given-names>
</name>
<name>
<surname>P</surname>
<given-names>Ch.</given-names>
</name>
<name>
<surname>Bartsch</surname>
<given-names>R. P.</given-names>
</name>
</person-group> (<year>2014</year>). &#x201c;<article-title>Network Physiology: Mapping Interactions between Networks of Physiologic Networks</article-title>,&#x201d; in <source>Networks of Networks: The Last Frontier of Complexity</source>. Editors <person-group person-group-type="editor">
<name>
<surname>D&#x27;Agostino</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Scala</surname>
<given-names>A.</given-names>
</name>
</person-group> (<publisher-loc>Cham</publisher-loc>: <publisher-name>Springer International Publishing</publisher-name>), <volume>Chapter10</volume>, <fpage>203</fpage>&#x2013;<lpage>222</lpage>. <pub-id pub-id-type="doi">10.1007/978-3-319-03518-5_10</pub-id> </citation>
</ref>
<ref id="B37">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Ivanov</surname>
<given-names>P. C.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Bartsch</surname>
<given-names>R. P.</given-names>
</name>
<name>
<surname>Bartsch</surname>
<given-names>R. P.</given-names>
</name>
</person-group> (<year>2017</year>). &#x201c;<article-title>Network Physiology: From Neural Plasticity to Organ Network Interactions</article-title>,&#x201d; in <source>Physics, Engineering and the Life Sciences</source>. Editors <person-group person-group-type="editor">
<name>
<surname>Mantica</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Stoop</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Stramaglia</surname>
<given-names>S.</given-names>
</name>
</person-group> (<publisher-loc>Cham</publisher-loc>: <publisher-name>Springer</publisher-name>), <fpage>145</fpage>&#x2013;<lpage>165</lpage>. <pub-id pub-id-type="doi">10.1007/978-3-319-47810-4_12</pub-id> </citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jeong</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Tombor</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Albert</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Oltvai</surname>
<given-names>Z. N.</given-names>
</name>
<name>
<surname>Barab&#xe1;si</surname>
<given-names>A.-L.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>The Large-Scale Organization of Metabolic Networks</article-title>. <source>Nature</source> <volume>407</volume> (<issue>6804</issue>), <fpage>651</fpage>&#x2013;<lpage>654</lpage>. <pub-id pub-id-type="doi">10.1038/35036627</pub-id> </citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kerkman</surname>
<given-names>J. N.</given-names>
</name>
<name>
<surname>Bekius</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Boonstra</surname>
<given-names>T. W.</given-names>
</name>
<name>
<surname>Daffertshofer</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Dominici</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Muscle Synergies and Coherence Networks Reflect Different Modes of Coordination during Walking</article-title>. <source>Front. Physiol.</source> <volume>11</volume> (<issue>11</issue>), <fpage>751</fpage>. <pub-id pub-id-type="doi">10.3389/fphys.2020.00751</pub-id> </citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kerkman</surname>
<given-names>J. N.</given-names>
</name>
<name>
<surname>Daffertshofer</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Gollo</surname>
<given-names>L. L.</given-names>
</name>
<name>
<surname>Breakspear</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Boonstra</surname>
<given-names>T. W.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Network Structure of the Human Musculoskeletal System Shapes Neural Interactions on Multiple Time Scales</article-title>. <source>Sci. Adv.</source> <volume>4</volume> (<issue>6</issue>), <fpage>eaat0497</fpage>. <pub-id pub-id-type="doi">10.1126/sciadv.aat0497</pub-id> </citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Labini</surname>
<given-names>F. S.</given-names>
</name>
<name>
<surname>Ivanenko</surname>
<given-names>Y. P.</given-names>
</name>
<name>
<surname>Cappellini</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Gravano</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Lacquaniti</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Smooth Changes in the EMG Patterns during Gait Transitions under Body Weight Unloading</article-title>. <source>J. Neurophysiol.</source> <volume>106</volume> (<issue>3</issue>), <fpage>1525</fpage>&#x2013;<lpage>1536</lpage>. <pub-id pub-id-type="doi">10.1152/jn.00160.2011</pub-id> </citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lacquaniti</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Ivanenko</surname>
<given-names>Y. P.</given-names>
</name>
<name>
<surname>d&#x2019;Avella</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Zelik</surname>
<given-names>K. E.</given-names>
</name>
<name>
<surname>Zago</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Evolutionary and Developmental Modules</article-title>. <source>Front. Comput. Neurosci.</source> <volume>7</volume>, <fpage>61</fpage>. <pub-id pub-id-type="doi">10.3389/fncom.2013.00061</pub-id> </citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lacquaniti</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Ivanenko</surname>
<given-names>Y. P.</given-names>
</name>
<name>
<surname>Zago</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Development of Human Locomotion</article-title>. <source>Curr. Opin. Neurobiol.</source> <volume>22</volume> (<issue>5</issue>), <fpage>822</fpage>&#x2013;<lpage>828</lpage>. <pub-id pub-id-type="doi">10.1016/j.conb.2012.03.012</pub-id> </citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lam</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Wolstenholme</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>J. F.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>How Do Infants Adapt to Loading of the Limb during the Swing Phase of Stepping?</article-title> <source>J. Neurophysiol.</source> <volume>89</volume> (<issue>4</issue>), <fpage>1920</fpage>&#x2013;<lpage>1928</lpage>. <pub-id pub-id-type="doi">10.1152/jn.01030.2002</pub-id> </citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lamb</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>J. F.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>Could Different Directions of Infant Stepping Be Controlled by the Same Locomotor central Pattern Generator?</article-title> <source>J. Neurophysiol.</source> <volume>83</volume> (<issue>5</issue>), <fpage>2814</fpage>&#x2013;<lpage>2824</lpage>. <pub-id pub-id-type="doi">10.1152/jn.2000.83.5.2814</pub-id> </citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lee</surname>
<given-names>D. D.</given-names>
</name>
<name>
<surname>Seung</surname>
<given-names>H. S.</given-names>
</name>
</person-group> (<year>1999</year>). <article-title>Learning the Parts of Objects by Non-negative Matrix Factorization</article-title>. <source>Nature</source> <volume>401</volume> (<issue>6755</issue>), <fpage>788</fpage>&#x2013;<lpage>791</lpage>. <pub-id pub-id-type="doi">10.1038/44565</pub-id> </citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Levine</surname>
<given-names>A. J.</given-names>
</name>
<name>
<surname>Hinckley</surname>
<given-names>C. A.</given-names>
</name>
<name>
<surname>Hilde</surname>
<given-names>K. L.</given-names>
</name>
<name>
<surname>Driscoll</surname>
<given-names>S. P.</given-names>
</name>
<name>
<surname>Poon</surname>
<given-names>T. H.</given-names>
</name>
<name>
<surname>Montgomery</surname>
<given-names>J. M.</given-names>
</name>
<etal/>
</person-group> (<year>2014</year>). <article-title>Identification of a Cellular Node for Motor Control Pathways</article-title>. <source>Nat. Neurosci.</source> <volume>17</volume> (<issue>4</issue>), <fpage>586</fpage>&#x2013;<lpage>593</lpage>. <pub-id pub-id-type="doi">10.1038/nn.3675</pub-id> </citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>K. K. L.</given-names>
</name>
<name>
<surname>Bartsch</surname>
<given-names>R. P.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Mantegna</surname>
<given-names>R. N.</given-names>
</name>
<name>
<surname>Ivanov</surname>
<given-names>P. C.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Plasticity of Brain Wave Network Interactions and Evolution across Physiologic States</article-title>. <source>Front. Neural Circuits</source> <volume>9</volume>, <fpage>62</fpage>. <pub-id pub-id-type="doi">10.3389/fncir.2015.00062</pub-id> </citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>McGraw</surname>
<given-names>M. B.</given-names>
</name>
</person-group> (<year>1940</year>). <article-title>Neuromuscular Development of the Human Infant as Exemplified in the Achievement of Erect Locomotion</article-title>. <source>J. Pediatr.</source> <volume>17</volume> (<issue>6</issue>), <fpage>747</fpage>&#x2013;<lpage>771</lpage>. <pub-id pub-id-type="doi">10.1016/S0022-3476(40)80021-8</pub-id> </citation>
</ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Miyai</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Fujimoto</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Ueda</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Yamamoto</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Nozaki</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Saito</surname>
<given-names>T.</given-names>
</name>
<etal/>
</person-group> (<year>2000</year>). <article-title>Treadmill Training with Body Weight Support: Its Effect on Parkinson&#x27;s Disease</article-title>. <source>Arch. Phys. Med. Rehabil.</source> <volume>81</volume> (<issue>7</issue>), <fpage>849</fpage>&#x2013;<lpage>852</lpage>. <pub-id pub-id-type="doi">10.1053/apmr.2000.4439</pub-id> </citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Molnar</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Esteve-Altava</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Rolian</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Diogo</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Comparison of Musculoskeletal Networks of the Primate Forelimb</article-title>. <source>Sci. Rep.</source> <volume>7</volume> (<issue>1</issue>), <fpage>10520</fpage>. <pub-id pub-id-type="doi">10.1038/s41598-017-09566-7</pub-id> </citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Moraru</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Onose</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Current Issues and Considerations about the central Role of Rehabilitation Therapies in the Functional Recovery of Neurological Impairments after Stroke in Adults</article-title>. <source>J. Med. Life</source> <volume>7</volume>, <fpage>368</fpage>&#x2013;<lpage>372</lpage>. </citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Murphy</surname>
<given-names>A. C.</given-names>
</name>
<name>
<surname>Muldoon</surname>
<given-names>S. F.</given-names>
</name>
<name>
<surname>Baker</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Lastowka</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Bennett</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>Structure, Function, and Control of the Human Musculoskeletal Network</article-title>. <source>Plos Biol.</source> <volume>16</volume> (<issue>1</issue>), <fpage>e2002811</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pbio.2002811</pub-id> </citation>
</ref>
<ref id="B54">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mutlu</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Krosschell</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Spira</surname>
<given-names>D. G.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Treadmill Training with Partial Body-Weight Support in Children with Cerebral Palsy: a Systematic Review</article-title>. <source>Dev. Med. Child. Neurol.</source> <volume>51</volume> (<issue>4</issue>), <fpage>268</fpage>&#x2013;<lpage>275</lpage>. <pub-id pub-id-type="doi">10.1111/j.1469-8749.2008.03221.x</pub-id> </citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Myers</surname>
<given-names>L. J.</given-names>
</name>
<name>
<surname>Lowery</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>O&#x27;Malley</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Vaughan</surname>
<given-names>C. L.</given-names>
</name>
<name>
<surname>Heneghan</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>St Clair Gibson</surname>
<given-names>A. A.</given-names>
</name>
<etal/>
</person-group> (<year>2003</year>). <article-title>Rectification and Non-linear Pre-processing of EMG Signals for Cortico-Muscular Analysis</article-title>. <source>J. Neurosci. Methods</source> <volume>124</volume> (<issue>2</issue>), <fpage>157</fpage>&#x2013;<lpage>165</lpage>. <pub-id pub-id-type="doi">10.1016/S0165-0270(03)00004-9</pub-id> </citation>
</ref>
<ref id="B56">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Oppenheim</surname>
<given-names>A. V.</given-names>
</name>
<name>
<surname>Buck</surname>
<given-names>J. R.</given-names>
</name>
<name>
<surname>Schafer</surname>
<given-names>R. W.</given-names>
</name>
</person-group> (<year>2001</year>). <source>Discrete-Time Signal Processing</source>. <volume>Vol. 2</volume>. <publisher-loc>Upper Saddle River, NJ</publisher-loc>: <publisher-name>Prentice Hall</publisher-name>. </citation>
</ref>
<ref id="B57">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pang</surname>
<given-names>M. Y. C.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>J. F.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>The Initiation of the Swing Phase in Human Infant Stepping: Importance of Hip Position and Leg Loading</article-title>. <source>J. Physiol.</source> <volume>528</volume> (<issue>2</issue>), <fpage>389</fpage>&#x2013;<lpage>404</lpage>. <pub-id pub-id-type="doi">10.1111/j.1469-7793.2000.00389.x</pub-id> </citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Petersen</surname>
<given-names>T. H.</given-names>
</name>
<name>
<surname>Willerslev-Olsen</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Conway</surname>
<given-names>B. A.</given-names>
</name>
<name>
<surname>Nielsen</surname>
<given-names>J. B.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>The Motor Cortex Drives the Muscles during Walking in Human Subjects</article-title>. <source>J. Physiol.</source> <volume>590</volume> (<issue>10</issue>), <fpage>2443</fpage>&#x2013;<lpage>2452</lpage>. <pub-id pub-id-type="doi">10.1113/jphysiol.2012.227397</pub-id> </citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Picelli</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Melotti</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Origano</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Neri</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Waldner</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Smania</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Robot-assisted Gait Training versus Equal Intensity Treadmill Training in Patients with Mild to Moderate Parkinson&#x27;s Disease: a Randomized Controlled Trial</article-title>. <source>Parkinsonism Relat. Disord.</source> <volume>19</volume>, <fpage>605</fpage>&#x2013;<lpage>610</lpage>. <pub-id pub-id-type="doi">10.1016/j.parkreldis.2013.02.010</pub-id> </citation>
</ref>
<ref id="B60">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Powell</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Esteve-Altava</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Molnar</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Villmoare</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Pettit</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Diogo</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Primate Modularity and Evolution: First Anatomical Network Analysis of Primate Head and Neck Musculoskeletal System</article-title>. <source>Sci. Rep.</source> <volume>8</volume> (<issue>1</issue>), <fpage>2341</fpage>. <pub-id pub-id-type="doi">10.1038/s41598-018-20063-3</pub-id> </citation>
</ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rizzo</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>J. W. J. L.</given-names>
</name>
<name>
<surname>Lombardi</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Ivanov</surname>
<given-names>P. C.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Network Physiology of Cortico-Muscular Interactions</article-title>. <source>Front. Physiol.</source> <volume>11</volume>, <fpage>558070</fpage>. <pub-id pub-id-type="doi">10.3389/fphys.2020.558070</pub-id> </citation>
</ref>
<ref id="B62">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Roeder</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Boonstra</surname>
<given-names>T. W.</given-names>
</name>
<name>
<surname>Smith</surname>
<given-names>S. S.</given-names>
</name>
<name>
<surname>Kerr</surname>
<given-names>G. K.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Dynamics of Corticospinal Motor Control during Overground and Treadmill Walking in Humans</article-title>. <source>J. Neurophysiol.</source> <volume>120</volume> (<issue>3</issue>), <fpage>1017</fpage>&#x2013;<lpage>1031</lpage>. <pub-id pub-id-type="doi">10.1152/jn.00613.2017</pub-id> </citation>
</ref>
<ref id="B63">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rubinov</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Sporns</surname>
<given-names>O.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Complex Network Measures of Brain Connectivity: Uses and Interpretations</article-title>. <source>NeuroImage</source> <volume>52</volume> (<issue>3</issue>), <fpage>1059</fpage>&#x2013;<lpage>1069</lpage>. <pub-id pub-id-type="doi">10.1016/j.neuroimage.2009.10.003</pub-id> </citation>
</ref>
<ref id="B64">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sale</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Franceschini</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Waldner</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Hesse</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Use of the Robot Assisted Gait Therapy in Rehabilitation of Patients with Stroke and Spinal Cord Injury</article-title>. <source>Eur. J. Phys. Rehabil. Med.</source> <volume>48</volume>, <fpage>111</fpage>&#x2013;<lpage>121</lpage>. </citation>
</ref>
<ref id="B65">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sporns</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Betzel</surname>
<given-names>R. F.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Modular Brain Networks</article-title>. <source>Annu. Rev. Psychol.</source> <volume>67</volume>, <fpage>613</fpage>&#x2013;<lpage>640</lpage>. <pub-id pub-id-type="doi">10.1146/annurev-psych-122414-033634</pub-id> </citation>
</ref>
<ref id="B66">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sylos-Labini</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Lacquaniti</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Ivanenko</surname>
<given-names>Y. P.</given-names>
</name>
</person-group> (<year>20142014</year>). <article-title>Human Locomotion under Reduced Gravity Conditions: Biomechanical and Neurophysiological Considerations</article-title>. <source>Biomed. Res. Int.</source> <volume>2014</volume>, <fpage>1</fpage>&#x2013;<lpage>12</lpage>. <pub-id pub-id-type="doi">10.1155/2014/547242</pub-id> </citation>
</ref>
<ref id="B67">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Takei</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Confais</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Tomatsu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Oya</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Seki</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Neural Basis for Hand Muscle Synergies in the Primate Spinal Cord</article-title>. <source>Proc. Natl. Acad. Sci. USA</source> <volume>114</volume> (<issue>32</issue>), <fpage>8643</fpage>&#x2013;<lpage>8648</lpage>. <pub-id pub-id-type="doi">10.1073/pnas.1704328114</pub-id> </citation>
</ref>
<ref id="B68">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Teulier</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Sansom</surname>
<given-names>J. K.</given-names>
</name>
<name>
<surname>Muraszko</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Ulrich</surname>
<given-names>B. D.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Longitudinal Changes in Muscle Activity during Infants&#x27; Treadmill Stepping</article-title>. <source>J. Neurophysiol.</source> <volume>108</volume> (<issue>3</issue>), <fpage>853</fpage>&#x2013;<lpage>862</lpage>. <pub-id pub-id-type="doi">10.1152/jn.01037.2011</pub-id> </citation>
</ref>
<ref id="B69">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Thelen</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Cooke</surname>
<given-names>D. W.</given-names>
</name>
</person-group> (<year>1987</year>). <article-title>Relationship between Newborn Stepping and Later Walking: a New Interpretation</article-title>. <source>Developmental Med. Child Neurol.</source> <volume>29</volume> (<issue>3</issue>), <fpage>380</fpage>&#x2013;<lpage>393</lpage>. <pub-id pub-id-type="doi">10.1111/j.1469-8749.1987.tb02492.x</pub-id> </citation>
</ref>
<ref id="B70">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Thelen</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Fisher</surname>
<given-names>D. M.</given-names>
</name>
</person-group> (<year>1983</year>). <article-title>The Organization of Spontaneous Leg Movements in Newborn Infants</article-title>. <source>J. Mot. Behav.</source> <volume>15</volume> (<issue>4</issue>), <fpage>353</fpage>&#x2013;<lpage>372</lpage>. <pub-id pub-id-type="doi">10.1080/00222895.1983.10735305</pub-id> </citation>
</ref>
<ref id="B71">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Thelen</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Skala</surname>
<given-names>K. D.</given-names>
</name>
<name>
<surname>Kelso</surname>
<given-names>J. S.</given-names>
</name>
</person-group> (<year>1987</year>). <article-title>The Dynamic Nature of Early Coordination: Evidence from Bilateral Leg Movements in Young Infants</article-title>. <source>Developmental Psychol.</source> <volume>23</volume> (<issue>2</issue>), <fpage>179</fpage>&#x2013;<lpage>186</lpage>. <pub-id pub-id-type="doi">10.1037/0012-1649.23.2.179</pub-id> </citation>
</ref>
<ref id="B72">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Vaal</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Van Soest</surname>
<given-names>A. J. K.</given-names>
</name>
<name>
<surname>Hopkins</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>Spontaneous Kicking Behavior in Infants: Age-Related Effects of Unilateral Weighting</article-title>. <source>Dev. Psychobiol.</source> <volume>36</volume> (<issue>2</issue>), <fpage>111</fpage>&#x2013;<lpage>122</lpage>. <pub-id pub-id-type="doi">10.1002/(sici)1098-2302(200003)36:2&#x3c;111::aid-dev3&#x3e;3.0.co;2-h</pub-id> </citation>
</ref>
<ref id="B73">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Vasudevan</surname>
<given-names>E. V.</given-names>
</name>
<name>
<surname>Patrick</surname>
<given-names>S. K.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>J. F.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Gait Transitions in Human Infants: Coping with Extremes of Treadmill Speed</article-title>. <source>PLoS One</source> <volume>11</volume> (<issue>2</issue>), <fpage>e0148124</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0148124</pub-id> </citation>
</ref>
<ref id="B74">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Vaughan</surname>
<given-names>C. L.</given-names>
</name>
<name>
<surname>Langerak</surname>
<given-names>N. G.</given-names>
</name>
<name>
<surname>O&#x27;Malley</surname>
<given-names>M. J.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>Neuromaturation of Human Locomotion Revealed by Non-dimensional Scaling</article-title>. <source>Exp. Brain Res.</source> <volume>153</volume> (<issue>1</issue>), <fpage>123</fpage>&#x2013;<lpage>127</lpage>. <pub-id pub-id-type="doi">10.1007/s00221-003-1635-x</pub-id> </citation>
</ref>
<ref id="B75">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Willoughby</surname>
<given-names>K. L.</given-names>
</name>
<name>
<surname>Dodd</surname>
<given-names>K. J.</given-names>
</name>
<name>
<surname>Shields</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>A Systematic Review of the Effectiveness of Treadmill Training for Children with Cerebral Palsy</article-title>. <source>Disabil. Rehabil.</source> <volume>31</volume> (<issue>24</issue>), <fpage>1971</fpage>&#x2013;<lpage>1979</lpage>. <pub-id pub-id-type="doi">10.3109/09638280902874204</pub-id> </citation>
</ref>
<ref id="B76">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname>
<given-names>J. F.</given-names>
</name>
<name>
<surname>Lament</surname>
<given-names>E. V.</given-names>
</name>
<name>
<surname>Pang</surname>
<given-names>M. Y. C.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Split-belt Treadmill Stepping in Infants Suggests Autonomous Pattern Generators for the Left and Right Leg in Humans</article-title>. <source>J. Neurosci.</source> <volume>25</volume> (<issue>29</issue>), <fpage>6869</fpage>&#x2013;<lpage>6876</lpage>. <pub-id pub-id-type="doi">10.1523/JNEUROSCI.1765-05.2005</pub-id> </citation>
</ref>
<ref id="B77">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname>
<given-names>J. F.</given-names>
</name>
<name>
<surname>Stephens</surname>
<given-names>M. J.</given-names>
</name>
<name>
<surname>Vishram</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>1998</year>). <article-title>Infant Stepping: a Method to Study the Sensory Control of Human Walking</article-title>. <source>J. Physiol.</source> <volume>507</volume> (<issue>3</issue>), <fpage>927</fpage>&#x2013;<lpage>937</lpage>. <pub-id pub-id-type="doi">10.1111/j.1469-7793.1998.927bs.x</pub-id> </citation>
</ref>
<ref id="B78">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Logan</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Giszter</surname>
<given-names>S. F.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Motor Primitives Are Determined in Early Development and Are Then Robustly Conserved into Adulthood</article-title>. <source>Proc. Natl. Acad. Sci. USA</source> <volume>116</volume> (<issue>24</issue>), <fpage>201821455</fpage>. <pub-id pub-id-type="doi">10.1073/pnas.1821455116</pub-id> </citation>
</ref>
<ref id="B79">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yokoyama</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Ogawa</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Kawashima</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Shinya</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Nakazawa</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Distinct Sets of Locomotor Modules Control the Speed and Modes of Human Locomotion</article-title>. <source>Sci. Rep.</source> <volume>6</volume>, <fpage>36275</fpage>. <pub-id pub-id-type="doi">10.1038/srep36275</pub-id> </citation>
</ref>
<ref id="B80">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zandvoort</surname>
<given-names>C. S.</given-names>
</name>
<name>
<surname>van Die&#xeb;n</surname>
<given-names>J. H.</given-names>
</name>
<name>
<surname>Dominici</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Daffertshofer</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>The Human Sensorimotor Cortex Fosters Muscle Synergies through Cortico-Synergy Coherence</article-title>. <source>NeuroImage</source> <volume>199</volume>, <fpage>30</fpage>&#x2013;<lpage>37</lpage>. <pub-id pub-id-type="doi">10.1016/j.neuroimage.2019.05.041</pub-id> </citation>
</ref>
</ref-list>
</back>
</article>