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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Hum. Neurosci.</journal-id>
<journal-title>Frontiers in Human Neuroscience</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Hum. Neurosci.</abbrev-journal-title>
<issn pub-type="epub">1662-5161</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fnhum.2025.1630049</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Human Neuroscience</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Differences in postural strategies between children with and without ADHD in tasks of static and dynamic balance</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Christ</surname> <given-names>Tabea</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>&#x02020;</sup></xref>
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<contrib contrib-type="author">
<name><surname>Bostr&#x000F6;m</surname> <given-names>Kim Joris</given-names></name>
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</contrib>
<contrib contrib-type="author">
<name><surname>Wagner</surname> <given-names>Heiko</given-names></name>
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<contrib contrib-type="author">
<name><surname>Bohn</surname> <given-names>Christiane</given-names></name>
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<aff><institution>Department of Movement Science, University of M&#x000FC;nster</institution>, <addr-line>M&#x000FC;nster</addr-line>, <country>Germany</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Naoya Hasegawa, Hokkaido University, Japan</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Carla Harkness-Armstrong, Brunel University London, United Kingdom</p>
<p>Amit Kumar, Maharishi Markandeshwar Institute of Physiotherapy and Rehabilitation, India</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Tabea Christ <email>tabea.christ&#x00040;uni-muenster.de</email>; <email>bohnc&#x00040;uni-muenster.de</email></corresp>
<fn fn-type="other" id="fn001"><p>&#x02020;ORCID: Tabea Christ <ext-link ext-link-type="uri" xlink:href="https://orcid.org/0009-0008-7301-7061">orcid.org/0009-0008-7301-7061</ext-link></p></fn>
<fn fn-type="other" id="fn002"><p>Kim Joris Bostr&#x000F6;m <ext-link ext-link-type="uri" xlink:href="https://orcid.org/0000-0001-5966-458X">orcid.org/0000-0001-5966-458X</ext-link></p></fn>
<fn fn-type="other" id="fn003"><p>Heiko Wagner <ext-link ext-link-type="uri" xlink:href="https://orcid.org/0000-0002-5470-5044">orcid.org/0000-0002-5470-5044</ext-link></p></fn></author-notes>
<pub-date pub-type="epub">
<day>01</day>
<month>08</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>19</volume>
<elocation-id>1630049</elocation-id>
<history>
<date date-type="received">
<day>16</day>
<month>05</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>17</day>
<month>07</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2025 Christ, Bostr&#x000F6;m, Wagner and Bohn.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Christ, Bostr&#x000F6;m, Wagner and Bohn</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract>
<sec>
<title>Background</title>
<p>Many children with ADHD experience challenges with balance and postural control, unlike their unaffected peers. While postural sway has been extensively studied in this patient group, less is known about the postural strategies employed to maintain equilibrium. This study extends the examination of hip and ankle postural strategies by including an upper body strategy involving movements of the head, arms, and trunk to regain balance. The aim was to investigate the differences in postural control strategies between children with and without ADHD.</p>
</sec>
<sec>
<title>Methods</title>
<p>Forty one children (17 diagnosed with ADHD, 24 unaffected controls) with a mean age of 10.0 &#x000B1; 1.4 years participated in the study. For the assessment of static balance, a 25-s one-leg stand was conducted. Dynamic balance was evaluated by balancing on a narrow wooden beam. Kinetic data was recorded using Kistler force plates. Kinematic data was collected with the Qualisys motion capture system. Joint torque amplitudes were calculated using an inverse-dynamics approach employing the Myonardo software.</p>
</sec>
<sec>
<title>Results</title>
<p>Children with ADHD produced significantly higher joint torques during static and dynamic balancing compared to neurotypical children in the ankle and upper body joint group. Torque amplitudes of the upper body joints were 11% and 7.5% higher for the dynamic and static balance tasks, respectively, and 22% and 20% higher for the ankle joint. For hip joint torque variation, the ADHD group exhibited 25% and 34% lower joint torques for the dynamic and static balance tasks, respectively.</p>
</sec>
<sec>
<title>Conclusion</title>
<p>Impaired proprioception and neuromuscular control are common in children with ADHD and may present as reduced precision in muscle activation. Cerebellar deficits in this patient group negatively affect balance and coordination. Such deficits likely interfere with the adjustment of joint torques involved in maintaining balance and stability. Children with ADHD appear to struggle to efficiently employ and combine postural strategies as required by the given task. Assessments of balance and postural control in children with ADHD are indispensable for developing tailored interventions and thus reducing injury risk and promote wellbeing.</p>
</sec></abstract>
<kwd-group>
<kwd>ADHD</kwd>
<kwd>children</kwd>
<kwd>balance tasks</kwd>
<kwd>postural control</kwd>
<kwd>joint torques</kwd>
<kwd>postural strategies</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="3"/>
<equation-count count="0"/>
<ref-count count="62"/>
<page-count count="11"/>
<word-count count="8356"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Motor Neuroscience</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1 Introduction</title>
<p>Attention deficit hyperactivity disorder (ADHD) belongs to the most common neurodevelopmental childhood disorders worldwide (Tamm, <xref ref-type="bibr" rid="B56">2009</xref>). Affected individuals typically present symptoms such as hyperactivity, impulsiveness, and inattention oftentimes leading to reduced quality of social functioning (Tamm, <xref ref-type="bibr" rid="B56">2009</xref>). Additionally, studies have shown that many children with ADHD perform inferiorly in tests of fine and gross motor skills compared to age-matched neurotypical controls (Pitcher et al., <xref ref-type="bibr" rid="B42">2003</xref>; Tseng et al., <xref ref-type="bibr" rid="B57">2004</xref>).</p>
<p>Motoric ability, especially postural control and balance in ADHD patients have previously been investigated (Raberger and Wimmer, <xref ref-type="bibr" rid="B45">2003</xref>; Ghanizadeh, <xref ref-type="bibr" rid="B13">2011</xref>; Mao et al., <xref ref-type="bibr" rid="B33">2014</xref>; Goetz et al., <xref ref-type="bibr" rid="B14">2017</xref>). Difficulties in static and dynamic balance tasks among affected children likely stem from executive control problems and suggest a common cerebellar dysfunction (Raberger and Wimmer, <xref ref-type="bibr" rid="B45">2003</xref>; Goetz et al., <xref ref-type="bibr" rid="B14">2017</xref>). Interestingly, Schlee et al. (<xref ref-type="bibr" rid="B50">2012</xref>) did not find any deficiencies in ADHD patients compared to neurotypical children measured in a single and double-legged static balance test, which may, however be owed to the easiness of the tasks.</p>
<p>Balance ability is essential for many aspects of daily life, like riding a bike or engaging in physical activity. Balance, or more so postural control, can be defined as the act of maintaining, achieving, or restoring a state of balance during any posture or activity, and therefore constitutes a fundamental motor function (Pollock et al., <xref ref-type="bibr" rid="B43">2000</xref>). Integrating inputs from the somatosensory, visual, and vestibular systems and using these sensory signals to generate coordinated motor actions and maintain body equilibrium is a process that may be impaired in ADHD patients (Kandel et al., <xref ref-type="bibr" rid="B27">2000</xref>).</p>
<p>While balance ability of ADHD-affected children has been extensively studied in the past (Pitcher et al., <xref ref-type="bibr" rid="B42">2003</xref>; Wang et al., <xref ref-type="bibr" rid="B61">2003</xref>; Shum and Pang, <xref ref-type="bibr" rid="B53">2009</xref>; Konicarova et al., <xref ref-type="bibr" rid="B29">2014</xref>; Mao et al., <xref ref-type="bibr" rid="B33">2014</xref>; Christ et al., <xref ref-type="bibr" rid="B9">2024</xref>), little is known about postural strategies used by the affected group to maintain balance. The hip and ankle postural strategies have previously been identified and explored in the literature among a healthy population (Nashner and McCollum, <xref ref-type="bibr" rid="B37">1985</xref>; Runge et al., <xref ref-type="bibr" rid="B49">1999</xref>; Guihard and Gorce, <xref ref-type="bibr" rid="B16">2002</xref>; Boonstra et al., <xref ref-type="bibr" rid="B5">2013</xref>). While the ankle strategy is commonly described as a single-segment inverted pendulum and is predominantly used during activities that require little balance regulation, the hip strategy is characterized as a double-segment inverted pendulum and is observed during more complex balance tasks involving unstable and narrow surfaces or backward translation (Horak and Nashner, <xref ref-type="bibr" rid="B22">1986</xref>; Runge et al., <xref ref-type="bibr" rid="B49">1999</xref>).</p>
<p>In addition, a so-called upper body strategy, with regards to movements of the head, arms, and trunk, seems to play an essential role in maintaining balance (Hsu et al., <xref ref-type="bibr" rid="B23">2007</xref>; Pinter et al., <xref ref-type="bibr" rid="B41">2008</xref>; Kilby et al., <xref ref-type="bibr" rid="B28">2015</xref>; Bostr&#x000F6;m et al., <xref ref-type="bibr" rid="B6">2018</xref>). This is not surprising as moving or stretching out the arms to remain or restore equilibrium is a much-employed tactic in challenging balance tasks, which is supported by the literature (Milosevic et al., <xref ref-type="bibr" rid="B36">2011</xref>; Shafeie et al., <xref ref-type="bibr" rid="B51">2012</xref>; Cheng et al., <xref ref-type="bibr" rid="B8">2014</xref>; Patel et al., <xref ref-type="bibr" rid="B40">2014</xref>; Bostr&#x000F6;m et al., <xref ref-type="bibr" rid="B6">2018</xref>; Objero et al., <xref ref-type="bibr" rid="B39">2019</xref>). Arm raises have been associated with an elevation of the center of mass (COM) position (Roos et al., <xref ref-type="bibr" rid="B46">2008</xref>) as well as with a forward shift of the COM after its displacement due to a fall (Marigold et al., <xref ref-type="bibr" rid="B34">2003</xref>) suggesting that movements of the upper body play a vital role for example in the design of fall prevention programs for the elderly (Allum et al., <xref ref-type="bibr" rid="B1">2002</xref>; Marigold et al., <xref ref-type="bibr" rid="B34">2003</xref>; Roos et al., <xref ref-type="bibr" rid="B46">2008</xref>; Objero et al., <xref ref-type="bibr" rid="B39">2019</xref>).</p>
<p>Postural strategies are typically defined by joint torques, ground reaction forces (GRF), and electromyography (EMG) activations (Runge et al., <xref ref-type="bibr" rid="B49">1999</xref>; Clifford and Holder-Powell, <xref ref-type="bibr" rid="B10">2010</xref>). Especially joint torques seem to be a valuable measure, as they can indicate how body movements are generated (Runge et al., <xref ref-type="bibr" rid="B49">1999</xref>). While most studies assessing postural control and balance ability in children with ADHD draw conclusions based on postural sway (Wang et al., <xref ref-type="bibr" rid="B61">2003</xref>; Shum and Pang, <xref ref-type="bibr" rid="B53">2009</xref>; Shorer et al., <xref ref-type="bibr" rid="B52">2012</xref>; Amini et al., <xref ref-type="bibr" rid="B2">2018</xref>), a measure based on body kinematics, this study analyzes a less frequently used kinetic measure based on body forces, namely joint torque.</p>
<p>Studying the use of hip and ankle postural strategies, supported by an upper-body strategy, as postulated by Bostr&#x000F6;m et al. (<xref ref-type="bibr" rid="B6">2018</xref>), may not only provide important awareness and knowledge for fall risk reduction in older adults, but may also contribute to the understanding of balance strategies used by children with and without ADHD. Recent meta-analysis underline that children with ADHD have an increased risk of injury, which is likely owed to deficits in motor control (Amiri et al., <xref ref-type="bibr" rid="B3">2017</xref>; Ruiz-Goikoetxea et al., <xref ref-type="bibr" rid="B48">2018</xref>). The aim of this study was to investigate the differences in postural strategies used by children with ADHD and typically developing children of the same age during static and dynamic balance tasks. To the best of our knowledge, this is the first attempt to do so, and thus the findings may be of great practical relevance for injury prevention and wellbeing within the affected group. To quantify differences in balance strategies between the two groups, the following two-tailed hypotheses were tested.</p>
<list list-type="simple">
<list-item><p>(1) There is a significant difference in torque amplitude and variation between children with ADHD and neurotypical children in all three joint groups tested during a static balance task.</p></list-item>
<list-item><p>(2) There is a significant difference in torque amplitude and variation between children with ADHD and neurotypical children in all three joint groups tested during a dynamic balance task.</p></list-item>
</list>
</sec>
<sec sec-type="methods" id="s2">
<title>2 Methods</title>
<sec>
<title>2.1 Participants</title>
<p>Forty-one children aged between eight and 12 years (10.0 &#x000B1; 1.4 years) were recruited via newspaper ads, social media advertisements, announcements in schools, the district government of M&#x000FC;nster, and publications via the Skate Aid homepage. Seventeen children were diagnosed with ADHD by a pediatrician (15 boys, 2 girls, age: 10.6 &#x000B1; 1.5 years, body height: 148 &#x000B1; 10 cm, body mass: 38.8 &#x000B1; 8.5 kg) representing the ADHD group. Twenty-four neurotypical children (14 boys, 10 girls, age: 9.6 &#x000B1; 1.1 years, body height: 142 &#x000B1; 9 cm, body mass: 33.9 &#x000B1; 7.8 kg) constituted the control group. Children with a regular intake of medication with methylphenidate and those above the age of 13 participated in the larger framework of the research project. However, they were excluded from the statistical analysis in the present study to ensure that postural stability is not influenced by symptom-alleviating medication. The study was approved by the University of M&#x000FC;nster ethics committee of faculty 7 (2018-10-HW), and written informed consent was obtained from the legal guardian of every participant.</p>
</sec>
<sec>
<title>2.2 Experimental procedure</title>
<p>The test comprised measurements of static and dynamic balance ability, performed barefoot. For the static balance task, participants were asked to stand as still as possible on one leg for 25 s. To familiarize with the task, a measurement of 30 s was timed, whereby the first 5 s were excluded from the analysis. The test was performed once for each leg on a stationary force plate (Kistler Group, Sindelfingen, Germany), 90 x 60 centimeters in size, recording GRF and center of pressure (COP) positions at 1,000 Hz. For the following dynamic balance task, participants were instructed to balance across a five-centimeter-wide, five-centimeter-high wooden balance beam. The beam was fixed to the floor with tape and had a total length of eight meters. Four subsequently arranged force plates measured kinetic data between meters three and six of the balance beam. Each subject performed this task six times and was randomly assigned to start the trial with either the right or left foot. No specific arm posture or balancing speed was required from the participants. One practice trial was granted before the actual measurement began. In case a participant lost balance and slipped off the beam, they were instructed to continue the test from the position they fell off. Additionally, full-body kinematic data was gathered for both tasks using the Qualisys motion capture system and Qualisys Track Manager software (Oqus 500, Qualisys AB, Gothenburg, Sweden, 2018&#x02013;2022 versions). The setup comprised 18 high-speed infrared cameras tracking passive optoelectronic reflective markers at a sampling rate of 200 Hz. A set of 59 reflective markers, 20 mm in diameter, were placed on anatomical landmarks following a modified Helen Hayes marker set. The force plates and the kinematic system were synchronized with an external trigger signal (Qualisys AB, Gothenburg, Sweden).</p>
</sec>
<sec>
<title>2.3 Data processing</title>
<sec>
<title>2.3.1 Biomechanical model</title>
<p>To calculate torque amplitudes and variations, the recorded kinematic data were imported into the musculoskeletal model Myonardo<sup>&#x000AE;</sup> (version 7.0.0, Predimo GmbH, M&#x000FC;nster, Germany; Wagner et al., <xref ref-type="bibr" rid="B59">2023</xref>), a whole-body model consisting of 23 segments, 682 muscle-tendon units, and 23 joints with 66 degrees of freedom. Myonardo<sup>&#x000AE;</sup> is programmed in MATLAB 2023a (The MathWorks, Inc., Natick, Massachusetts, United States) using the Simscape Multibody 3D simulation environment. The mass and inertia of each segment were scaled to the height and mass of the subject (Hatze, <xref ref-type="bibr" rid="B19">1980</xref>; Winter, <xref ref-type="bibr" rid="B62">2009</xref>). For the current analysis, Myonardo<sup>&#x000AE;</sup> was used to calculate GRF based on the acceleration of the COM and the mass (Wagner et al., <xref ref-type="bibr" rid="B60">2024</xref>). For both balance conditions, an inverse dynamics simulation was done to calculate joint torques, by creating the following joint groups, in which individual joints were averaged. Ankle joint group: left ankle joint, right ankle joint. Hip joint group left hip joint, right hip joint. Upper body joint group: left clavicle joint, right clavicle joint, left shoulder joint, right shoulder joint, left elbow joint, right elbow joint, left wrist joint, right wrist joint, lumbar joint, neck joint.</p>
<p>To account for the inertial characteristics of children, the centers of gravity and radii of gyration of the children&#x00027;s body parts were taken from the literature and applied to the model, individually scaled to the anatomy of each participant (Li and Dangerfield, <xref ref-type="bibr" rid="B31">1993</xref>).</p>
</sec>
<sec>
<title>2.3.2 Balance performance measures</title>
<p>Following Bostr&#x000F6;m et al. (<xref ref-type="bibr" rid="B6">2018</xref>), we used torque amplitude and variation as two separate measures of balance performance, representing different aspects of postural control activity. While the torque amplitude of a given joint more directly quantifies the amount of torque applied to the joint, on average, within the observed time interval of task completion, the torque variation quantifies the amount of change in torque, on average, within the observed time interval of task completion. Mathematically, the torque amplitude is equal to the time average of the absolute torque applied to the joint during each measurement, while the torque variation is equal to the standard deviation instead of the average. For the upper body joint group, the values for the torque amplitude of the individual joints in the group were averaged, similarly for the torque variation.</p>
</sec>
</sec>
<sec>
<title>2.4 Statistical analysis</title>
<p>Statistical analyses were performed in MATLAB (version 2023a, The MathWorks, Inc., Natick, Massachusetts, USA). We used generalized linear mixed models (GLMM) instead of traditional ANOVA for three reasons. First, GLMM handles uneven group sizes caused by dropouts without discarding data or averaging, preserving statistical power. Second, it accommodates the mix of within- and between-subject variables, categorical variables, and continuous covariates by incorporating random effects, including random intercepts and slopes, for better model fit. Third, GLMMs are robust to non-normal data. A separate model fit was performed for each of the two tasks, i.e., the static and the dynamic balance task, and for each of the two dependent variables, i.e., torque amplitude and torque variation. A gamma distribution with a log link function and maximum pseudo-likelihood model fitting was used for all model fits. The Wilkinson formula of each model fit was given by</p>
<disp-formula id="E1"><mml:math id="M1"><mml:mtable columnalign='right'><mml:mtr><mml:mtd><mml:mtext>Y</mml:mtext><mml:mo>~</mml:mo><mml:mtext>Age</mml:mtext><mml:mo>+</mml:mo><mml:msup><mml:mtext>ADHD</mml:mtext><mml:mo>&#x02217;</mml:mo></mml:msup><mml:mtext>JointGroup</mml:mtext><mml:mo>+</mml:mo><mml:mo stretchy='false'>(</mml:mo><mml:mtext>ADHD</mml:mtext><mml:mo>+</mml:mo><mml:mtext>JointGroup</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mtext>Age</mml:mtext><mml:mo>&#x0007C;</mml:mo><mml:mtext>Subject</mml:mtext><mml:mo stretchy='false'>)</mml:mo><mml:mo>,</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where &#x0201C;Y&#x0201D; is the dependent variable representing either torque amplitude or torque variation, &#x0201C;Subject&#x0201D; is a random variable indicating the identity of the subject, &#x0201C;ADHD&#x0201D; indicates whether the subject was in the ADHD group, &#x0201C;JointGroup&#x0201D; has the levels &#x0201C;ankle,&#x0201D; &#x0201C;hip&#x0201D; and &#x0201C;upperBody,&#x0201D; and &#x0201C;Age&#x0201D; is a continuous covariate representing the subject&#x00027;s age. Since outliers can substantially distort the model fit, any point outside 1.5 times the interquartile range (0.25, 0.75), most likely due to measurement artifacts, was considered an outlier and removed before entering the model fit. That way, 5.3% and 5.7% of the data were removed for the static and dynamic balancing tasks, respectively. All other data, including those of faulty trials, were included into the analysis to not bias against the nature of the disorder and its symptoms. To aid in the interpretation of the results of the <italic>post-hoc</italic> comparisons, we calculated the percentage change between the pre- and post-tests for each pair, denoted by &#x0201C;%diff&#x0201D;.</p>
<p>After each model fit, we performed statistically corrected, multiple pairwise comparisons (<italic>post-hoc</italic> tests) based on the estimated marginal means (EMMs) using the <italic>emmeans</italic> package for Matlab (version 1.0.0 by John Hartman, available at <ext-link ext-link-type="uri" xlink:href="https://github.com/jackatta/estimated-marginal-means">https://github.com/jackatta/estimated-marginal-means</ext-link>). These EMMs were calculated from the GLMM, hence the data plots show these EMMs in the center of the violin plots rather than the mean or median. The level of statistical significance was set at &#x003B1; = 0.05. Effect sizes are interpreted after Cohen&#x00027;s rule of thumb, with the usual limits for partial eta squared 0.01 = small, 0.06 = medium, 0.14 = large (Cohen, <xref ref-type="bibr" rid="B11">1973</xref>).</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<p>ADHD-affected children generated <italic>joint torque amplitudes</italic> different from those of their typically developing peers. This is shown by the statistically significant main effect <italic>ADHD</italic> for both, the one-leg stand (<italic>F</italic> = 5.49, <italic>p</italic> = 0.02, <inline-formula><mml:math id="M2"><mml:msubsup><mml:mrow><mml:mi>&#x003B7;</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula> = 0.02) and the balance beam task (<italic>F</italic> = 6.39, <italic>p</italic> = 0.01, <inline-formula><mml:math id="M3"><mml:msubsup><mml:mrow><mml:mi>&#x003B7;</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula> = 0.009). The analysis yielded no significant differences between children with and without ADHD in terms of <italic>joint torque variance</italic> for both tasks. Strongly significant main effects for the <italic>JointGroup</italic> variable across all conditions were expected and indicate the dissimilarity in torque generation for the joint groups analyzed. Furthermore, the covariate <italic>Age</italic> had a significant effect on the torque amplitude measures, but not on the torque variation for each task (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Results of the linear model fit comparing children with and without ADHD for torque amplitude and variation for each task.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th/>
<th valign="top" align="left"><bold>Term</bold></th>
<th valign="top" align="center"><bold><italic>F</italic></bold></th>
<th valign="top" align="center"><bold><italic>p</italic></bold></th>
<th valign="top" align="center"><bold><italic><inline-formula><mml:math id="M4"><mml:msubsup><mml:mrow><mml:mi>&#x003B7;</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula></italic></bold></th>
<th valign="top" align="left"><bold>Effect size</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" rowspan="4"><bold>One-leg stand torque amplitude</bold></td>
<td valign="top" align="left">ADHD</td>
<td valign="top" align="center">5.49</td>
<td valign="top" align="center" style="background-color:#d9d9d9"><bold>0.02</bold><sup><bold>&#x0002A;</bold></sup></td>
<td valign="top" align="center">0.02</td>
<td valign="top" align="left">Small to medium</td>
</tr>
<tr>
<td valign="top" align="left">Joint Group</td>
<td valign="top" align="center">1,474.87</td>
<td valign="top" align="center" style="background-color:#d9d9d9"><bold>0</bold><sup><bold>&#x0002A;&#x0002A;&#x0002A;</bold></sup></td>
<td valign="top" align="center">0.93</td>
<td valign="top" align="left">Very large</td>
</tr>
<tr>
<td valign="top" align="left">Cov. Age</td>
<td valign="top" align="center">4.65</td>
<td valign="top" align="center" style="background-color:#d9d9d9"><bold>0.03</bold><sup><bold>&#x0002A;</bold></sup></td>
<td valign="top" align="center">0.02</td>
<td valign="top" align="left">Small</td>
</tr>
<tr>
<td valign="top" align="left">ADHD &#x000D7; Joint Group</td>
<td valign="top" align="center">10.01</td>
<td valign="top" align="center" style="background-color:#d9d9d9"><bold>&#x0003C; 0.001</bold><sup><bold>&#x0002A;&#x0002A;&#x0002A;</bold></sup></td>
<td valign="top" align="center">0.08</td>
<td valign="top" align="left">Medium to large</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="4"><bold>One-leg stand torque variation</bold></td>
<td valign="top" align="left">ADHD</td>
<td valign="top" align="center">0.65</td>
<td valign="top" align="center">0.42</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="left">Very small</td>
</tr>
<tr>
<td valign="top" align="left">Joint Group</td>
<td valign="top" align="center">453.4</td>
<td valign="top" align="center" style="background-color:#d9d9d9"><bold>0</bold><sup><bold>&#x0002A;&#x0002A;&#x0002A;</bold></sup></td>
<td valign="top" align="center">0.8</td>
<td valign="top" align="left">Very large</td>
</tr>
<tr>
<td valign="top" align="left">Cov. Age</td>
<td valign="top" align="center">0.41</td>
<td valign="top" align="center">0.52</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="left">Very small</td>
</tr>
<tr>
<td valign="top" align="left">ADHD &#x000D7; Joint Group</td>
<td valign="top" align="center">3.79</td>
<td valign="top" align="center" style="background-color:#d9d9d9"><bold>0.02</bold><sup><bold>&#x0002A;</bold></sup></td>
<td valign="top" align="center">0.03</td>
<td valign="top" align="left">Small to medium</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="4"><bold>Balance beam torque amplitude</bold></td>
<td valign="top" align="left">ADHD</td>
<td valign="top" align="center">6.39</td>
<td valign="top" align="center" style="background-color:#d9d9d9"><bold>0.01</bold><sup><bold>&#x0002A;</bold></sup></td>
<td valign="top" align="center">0.009</td>
<td valign="top" align="left">Small</td>
</tr>
<tr>
<td valign="top" align="left">Joint Group</td>
<td valign="top" align="center">1,732.42</td>
<td valign="top" align="center" style="background-color:#d9d9d9"><bold>0</bold><sup><bold>&#x0002A;&#x0002A;&#x0002A;</bold></sup></td>
<td valign="top" align="center">0.83</td>
<td valign="top" align="left">Very large</td>
</tr>
<tr>
<td valign="top" align="left">Cov. Age</td>
<td valign="top" align="center">6.13</td>
<td valign="top" align="center" style="background-color:#d9d9d9"><bold>0.01</bold><sup><bold>&#x0002A;</bold></sup></td>
<td valign="top" align="center">0.009</td>
<td valign="top" align="left">Small</td>
</tr>
<tr>
<td valign="top" align="left">ADHD &#x000D7; Joint Group</td>
<td valign="top" align="center">0.99</td>
<td valign="top" align="center">0.37</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="left">Very small</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="4"><bold>Balance beam torque variation</bold></td>
<td valign="top" align="left">ADHD</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">0.76</td>
<td valign="top" align="center">0.0001</td>
<td valign="top" align="left">Very small</td>
</tr>
<tr>
<td valign="top" align="left">Joint Group</td>
<td valign="top" align="center">1,351.76</td>
<td valign="top" align="center" style="background-color:#d9d9d9"><bold>0</bold><sup><bold>&#x0002A;&#x0002A;&#x0002A;</bold></sup></td>
<td valign="top" align="center">0.8</td>
<td valign="top" align="left">Very large</td>
</tr>
<tr>
<td valign="top" align="left">Cov. Age</td>
<td valign="top" align="center">0.11</td>
<td valign="top" align="center">0.74</td>
<td valign="top" align="center">0.0002</td>
<td valign="top" align="left">Very small</td>
</tr>
<tr>
<td valign="top" align="left">ADHD &#x000D7; Joint Group</td>
<td valign="top" align="center">5.39</td>
<td valign="top" align="center" style="background-color:#d9d9d9"><bold>0.005</bold><sup><bold>&#x0002A;&#x0002A;</bold></sup></td>
<td valign="top" align="center">0.02</td>
<td valign="top" align="left">Small</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>Significant results are in bold font and gray shaded, effect sizes are interpreted according to Cohen&#x00027;s rule of thumb and indicate how much of the effect can be explained by the given term. Asterisks denote the corresponding level of significance: <sup>&#x0002A;</sup>p &#x0003C; 0.05, <sup>&#x0002A;&#x0002A;</sup>p &#x0003C; 0.01, <sup>&#x0002A;&#x0002A;&#x0002A;</sup>p &#x0003C; 0.001.</p>
</table-wrap-foot>
</table-wrap>
<p>Significant interaction effects on the <italic>torque amplitude</italic> in the one-leg stand (<italic>F</italic> = 10.01, <italic>p</italic> &#x0003C; 0.001, <inline-formula><mml:math id="M5"><mml:msubsup><mml:mrow><mml:mi>&#x003B7;</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula> = 0.08), on the <italic>torque variation</italic> in the one-leg stand (<italic>F</italic> = 3.79, <italic>p</italic> = 0.02, <inline-formula><mml:math id="M6"><mml:msubsup><mml:mrow><mml:mi>&#x003B7;</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula> = 0.03), and on the <italic>torque variation</italic> in the balance beam task (<italic>F</italic> = 5.39, <italic>p</italic> = 0.005, <inline-formula><mml:math id="M7"><mml:msubsup><mml:mrow><mml:mi>&#x003B7;</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula> = 0.02), show that the two groups were affected differently in terms of torque generation in the various joint groups (<xref ref-type="table" rid="T1">Table 1</xref>; <xref ref-type="fig" rid="F1">Figures 1</xref>, <xref ref-type="fig" rid="F2">2</xref>). A subsequent <italic>post-hoc</italic> test revealed that for the <italic>torque amplitude</italic>, only ankle and upper body joint torques but not hip joint torques differed significantly between groups, with higher torque amplitudes found for the ADHD group in all four instances. Specifically, group differences were found for the static balance task in the ankle joint (<italic>F</italic> = 20.7, <italic>p</italic> &#x0003C; 0.001, <inline-formula><mml:math id="M8"><mml:msubsup><mml:mrow><mml:mi>&#x003B7;</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula> = 0.08) and the upper body joints (<italic>F</italic> = 5.49, <italic>p</italic> = 0.04, <inline-formula><mml:math id="M9"><mml:msubsup><mml:mrow><mml:mi>&#x003B7;</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula> = 0.02), and for the dynamic balance task in the ankle joint (<italic>F</italic> = 5.2, <italic>p</italic> = 0.05, <inline-formula><mml:math id="M10"><mml:msubsup><mml:mrow><mml:mi>&#x003B7;</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula> = 0.007) and the upper body joints (<italic>F</italic> = 6.39, <italic>p</italic> = 0.04, <inline-formula><mml:math id="M11"><mml:msubsup><mml:mrow><mml:mi>&#x003B7;</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula> = 0.009; <xref ref-type="table" rid="T2">Table 2</xref>; <xref ref-type="fig" rid="F1">Figure 1</xref>). Descriptive statistics are provided in <xref ref-type="table" rid="T3">Table 3</xref>.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Violin plots of the linear model fit of joint torque amplitude for each joint group during static and dynamic balance tasks comparing children with and without ADHD. Empty circles indicate the estimated marginal mean (EMM), error bars denote the corresponding level of significance: <sup>&#x0002A;</sup><italic>p</italic> &#x0003C; 0.05, <sup>&#x0002A;&#x0002A;</sup><italic>p</italic> &#x0003C; 0.01, <sup>&#x0002A;&#x0002A;&#x0002A;</sup><italic>p</italic> &#x0003C; 0.001. The units are in torque multiplied by 1,000 to obtain a more convenient number scale, giving Millinewton (mN) per meter body height and kilogram body mass, i.e., 1 mN<sup>&#x0002A;</sup>m/(kg<sup>&#x0002A;</sup>m) = 1 mN/kg.</p></caption>
<alt-text>Violin plots compare static and dynamic torque amplitudes for Control and ADHD groups across ankle, hip, and upper body. The plots show differences in torque amplitude, with statistically significant differences indicated by asterisks. Static and dynamic conditions are presented separately, illustrating variations in torque between the two groups.</alt-text>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fnhum-19-1630049-g0001.tif"/>
</fig>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Violin plots of the linear model fit of joint torque variation for each joint group during static and dynamic balance tasks comparing children with and without ADHD. Empty circles indicate the estimated marginal mean (EMM), error bars denote the 95% confidence interval. Brackets indicate significant differences, asterisks denote the corresponding level of significance: <sup>&#x0002A;</sup><italic>p</italic> &#x0003C; 0.05, <sup>&#x0002A;&#x0002A;</sup><italic>p</italic> &#x0003C; 0.01, <sup>&#x0002A;&#x0002A;&#x0002A;</sup><italic>p</italic> &#x0003C; 0.001. The units are in torque multiplied by 1,000 to obtain a more convenient number scale, giving Millinewton (mN) per meter body height and kilogram body mass, i.e., 1 mN<sup>&#x0002A;</sup>m/(kg<sup>&#x0002A;</sup>m) = 1 mN/kg.</p></caption>
<alt-text>Violin plots comparing torque variation in control and ADHD groups during static and dynamic activities. The measurements are separated into ankle, hip, and upper body categories. Static variations show greater spread in the hip section for controls, while dynamic variations reveal higher values for both groups, especially in the hip.</alt-text>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fnhum-19-1630049-g0002.tif"/>
</fig>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Results of the <italic>post-hoc</italic> analysis comparing the ADHD group with the neurotypical group for the three different joint groups with respect to torque amplitude and variation in each task as displayed in <xref ref-type="table" rid="T1">Table 1</xref>.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th/>
<th valign="top" align="left"><bold>Joint group</bold></th>
<th valign="top" align="center"><bold>p<sub>corr</sub></bold></th>
<th valign="top" align="center"><bold>%diff</bold></th>
<th valign="top" align="center"><bold>F</bold></th>
<th valign="top" align="center"><bold><inline-formula><mml:math id="M12"><mml:msubsup><mml:mrow><mml:mi>&#x003B7;</mml:mi></mml:mrow><mml:mrow><mml:mtext>p</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math></inline-formula></bold></th>
<th valign="top" align="left"><bold>Effect size</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" rowspan="3"><bold>One-leg stand torque amplitude</bold></td>
<td valign="top" align="left">Ankle</td>
<td valign="top" align="center" style="background-color:#d9d9d9"><bold>&#x0003C; 0.001</bold><sup><bold>&#x0002A;&#x0002A;&#x0002A;</bold></sup></td>
<td valign="top" align="center">20.28</td>
<td valign="top" align="center">20.7</td>
<td valign="top" align="center">0.08</td>
<td valign="top" align="left">Medium to large</td>
</tr>
<tr>
<td valign="top" align="left">Hip</td>
<td valign="top" align="center">0.05</td>
<td valign="top" align="center">&#x02212;9.07</td>
<td valign="top" align="center">3.84</td>
<td valign="top" align="center">0.02</td>
<td valign="top" align="left">Small</td>
</tr>
<tr>
<td valign="top" align="left">Upper Body</td>
<td valign="top" align="center" style="background-color:#d9d9d9"><bold>0.04</bold><sup><bold>&#x0002A;</bold></sup></td>
<td valign="top" align="center">7.54</td>
<td valign="top" align="center">5.49</td>
<td valign="top" align="center">0.02</td>
<td valign="top" align="left">Small to medium</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="3"><bold>One-leg stand torque variation</bold></td>
<td valign="top" align="left">Ankle</td>
<td valign="top" align="center">0.74</td>
<td valign="top" align="center">6.28</td>
<td valign="top" align="center">0.11</td>
<td valign="top" align="center">0.0005</td>
<td valign="top" align="left">Very small</td>
</tr>
<tr>
<td valign="top" align="left">Hip</td>
<td valign="top" align="center">0.11</td>
<td valign="top" align="center">&#x02212;33.97</td>
<td valign="top" align="center">4.49</td>
<td valign="top" align="center">0.02</td>
<td valign="top" align="left">Small</td>
</tr>
<tr>
<td valign="top" align="left">Upper body</td>
<td valign="top" align="center">0.84</td>
<td valign="top" align="center">&#x02212;10.86</td>
<td valign="top" align="center">0.65</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="left">Very small</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="3"><bold>Balance beam torque amplitude</bold></td>
<td valign="top" align="left">Ankle</td>
<td valign="top" align="center" style="background-color:#d9d9d9"><bold>0.05</bold><sup><bold>&#x0002A;</bold></sup></td>
<td valign="top" align="center">22.15</td>
<td valign="top" align="center">5.2</td>
<td valign="top" align="center">0.007</td>
<td valign="top" align="left">Small</td>
</tr>
<tr>
<td valign="top" align="left">Hip</td>
<td valign="top" align="center">0.46</td>
<td valign="top" align="center">4.93</td>
<td valign="top" align="center">0.54</td>
<td valign="top" align="center">0.0008</td>
<td valign="top" align="left">Very small</td>
</tr>
<tr>
<td valign="top" align="left">Upper body</td>
<td valign="top" align="center" style="background-color:#d9d9d9"><bold>0.04</bold><sup><bold>&#x0002A;</bold></sup></td>
<td valign="top" align="center">11.28</td>
<td valign="top" align="center">6.39</td>
<td valign="top" align="center">0.009</td>
<td valign="top" align="left">Small</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="3"><bold>Balance beam torque variation</bold></td>
<td valign="top" align="left">Ankle</td>
<td valign="top" align="center">0.33</td>
<td valign="top" align="center">18.1</td>
<td valign="top" align="center">1.94</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="left">Very small</td>
</tr>
<tr>
<td valign="top" align="left">Hip</td>
<td valign="top" align="center" style="background-color:#d9d9d9"><bold>0.03</bold><sup><bold>&#x0002A;</bold></sup></td>
<td valign="top" align="center">&#x02212;25.41</td>
<td valign="top" align="center">6.74</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="left">Small</td>
</tr>
<tr>
<td valign="top" align="left">Upper body</td>
<td valign="top" align="center">0.76</td>
<td valign="top" align="center">&#x02212;2.25</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">0.0001</td>
<td valign="top" align="left">Very small</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>Statistically corrected p-values are indicated by pcorr. Relative changes are indicated in percent by %diff. Effect sizes are interpreted according to Cohen&#x00027;s rule of thumb. Asterisks denote the corresponding level of significance: <sup>&#x0002A;</sup>p &#x0003C; 0.05, <sup>&#x0002A;&#x0002A;</sup>p &#x0003C; 0.01, <sup>&#x0002A;&#x0002A;&#x0002A;</sup>p &#x0003C; 0.001. Significant results are in bold font and gray shade.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Estimated marginal means (emMeans) with lower and upper limits of the 95% confidence interval comparing children with and without ADHD (neurotypical).</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th/>
<th valign="top" align="left"><bold>Group</bold></th>
<th valign="top" align="center"><bold>Neurotypical</bold></th>
<th valign="top" align="center"><bold>ADHD</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td/>
<td valign="top" align="left"><bold>Joint Group</bold></td>
<td valign="top" align="center">emMean (95% CI)</td>
<td valign="top" align="center">emMean (95% CI)</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="3"><bold>One-leg stand torque amplitude</bold></td>
<td valign="top" align="left">Ankle</td>
<td valign="top" align="center" style="background-color:#d9d9d9">1.54 (1.48, 1.6)</td>
<td valign="top" align="center" style="background-color:#d9d9d9">1.85 (1.73, 1.99)</td>
</tr>
<tr>
<td valign="top" align="left">Hip</td>
<td valign="top" align="center">2.99 (2.79, 3.2)</td>
<td valign="top" align="center">2.72 (2.55, 2.89)</td>
</tr>
<tr>
<td valign="top" align="left">Upper body</td>
<td valign="top" align="center" style="background-color:#d9d9d9">0.35 (0.33, 0.38)</td>
<td valign="top" align="center" style="background-color:#d9d9d9">0.38 (0.35, 0.41)</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="3"><bold>One-leg stand torque variation</bold></td>
<td valign="top" align="left">Ankle</td>
<td valign="top" align="center">0.29 (0.23, 0.36)</td>
<td valign="top" align="center">0.31 (0.24, 0.39)</td>
</tr>
<tr>
<td valign="top" align="left">Hip</td>
<td valign="top" align="center">1.28 (1.03, 1.58)</td>
<td valign="top" align="center">0.84 (0.63, 1.13)</td>
</tr>
<tr>
<td valign="top" align="left">Upper body</td>
<td valign="top" align="center">0.09 (0.07, 0.12)</td>
<td valign="top" align="center">0.08 (0.06, 0.1)</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="3"><bold>Balance beam torque amplitude</bold></td>
<td valign="top" align="left">Ankle</td>
<td valign="top" align="center" style="background-color:#d9d9d9">1.71 (1.5, 1.95)</td>
<td valign="top" align="center" style="background-color:#d9d9d9">2.09 (1.87, 2.34)</td>
</tr>
<tr>
<td valign="top" align="left">Hip</td>
<td valign="top" align="center">3.86 (3.54, 4.21)</td>
<td valign="top" align="center">4.05 (3.7, 4.44)</td>
</tr>
<tr>
<td valign="top" align="left">Upper body</td>
<td valign="top" align="center" style="background-color:#d9d9d9">0.56 (0.53, 0.58)</td>
<td valign="top" align="center" style="background-color:#d9d9d9">0.62 (0.58, 0.66)</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="3"><bold>Balance beam torque variation</bold></td>
<td valign="top" align="left">Ankle</td>
<td valign="top" align="center">1.7 (1.47, 1.96)</td>
<td valign="top" align="center">2.01 (1.68, 2.39)</td>
</tr>
<tr>
<td valign="top" align="left">Hip</td>
<td valign="top" align="center" style="background-color:#d9d9d9">4.95 (4.17, 5.87)</td>
<td valign="top" align="center" style="background-color:#d9d9d9">3.69 (3.21, 4.24)</td>
</tr>
<tr>
<td valign="top" align="left">Upper body</td>
<td valign="top" align="center">0.29 (0.25, 0.33)</td>
<td valign="top" align="center">0.18 (0.25, 0.32)</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>Gray shaded columns show a significant difference.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>The aim of this study was to investigate the differences in postural strategies between children with and without ADHD during static and dynamic balance tasks. The results can at least partially confirm our hypothesis that there is a significant difference in torque amplitude and variation between children with ADHD and typically developing children in the tested ankle, hip, and upper body joint groups, during static and dynamic balance tasks. While significant differences between the two groups were found, these are not present across all joint groups and balance tasks. An investigation of general differences in task performance and balance ability between children with and without ADHD, preceded this analysis, yielding significant group differences in the task of dynamic balance (Christ et al., <xref ref-type="bibr" rid="B9">2024</xref>).</p>
<p>For the assessment of static balance through a 25-s one-leg stand, group differences were found for torque amplitude, i.e., the amount of torque applied to the ankle and upper body joints differed significantly between the groups. While the groups differed by only 7.5%, with higher upper body joint torques produced by children with ADHD, the group differences were more pronounced for the ankle joint torque during the same task. The group of children with ADHD thereby showed a 20% higher joint torque amplitude than the neurotypical children. Correspondingly, the evaluation of our dynamic balance task in the form of an eight-meter balance walk over a narrow beam revealed significant group differences for the ankle and upper body joints in terms of torque amplitude. For this more challenging balance task, the group difference was accordingly marginally higher with a 22% higher ankle joint torque and 11% higher upper body joint torque amplitude in the ADHD group compared to the neurotypical children.</p>
<p>The ankle strategy is an activation pattern that effectively restores equilibrium by shifting the body&#x00027;s COM predominantly around the ankle joints (Horak and Nashner, <xref ref-type="bibr" rid="B22">1986</xref>). Increased ankle torque generation during tasks of postural stability is associated with reduced neuromuscular control or inefficient movement patterns, such as corrective use of certain muscles to compensate for insufficient strength, flexibility, or coordination (Pozzi et al., <xref ref-type="bibr" rid="B44">2015</xref>; Fok et al., <xref ref-type="bibr" rid="B12">2021</xref>). Deficits in proprioception and neuromuscular control are common among children with ADHD (Hassan and Azzam, <xref ref-type="bibr" rid="B18">2012</xref>; Shum and Pang, <xref ref-type="bibr" rid="B53">2009</xref>; Izawa et al., <xref ref-type="bibr" rid="B25">2012</xref>; Iglesias et al., <xref ref-type="bibr" rid="B24">2014</xref>; Stray et al., <xref ref-type="bibr" rid="B55">2015</xref>). A weakness in neuromuscular control among ADHD-affected children may manifest as reduced precision in muscle activation (Stray et al., <xref ref-type="bibr" rid="B55">2015</xref>), which could in turn interfere with the adjustment of joint torques involved in maintaining balance and stability. Likewise, impaired proprioception or processing of sensory inputs within the patient group is likely owed to the compromised interaction among inputs from the vestibular, visual, and somatosensory systems, which feed the postural control system with orientation information and maintain body equilibrium (Guskiewicz and Perrin, <xref ref-type="bibr" rid="B17">1996</xref>). However, it is also crucial to emphasize that high joint torques do not inevitably imply a shortcoming. In fact, most sports require high torque generation for efficient movement control and injury prevention.</p>
<p>Our findings of increased torque production in the upper body joints in the ADHD group suggest that affected children exhibit significantly more head, arm, and trunk movements during static and dynamic balance than typically developing children. Moving the upper body, especially the arms is a characteristic strategy to maintain or regain balance (Milosevic et al., <xref ref-type="bibr" rid="B36">2011</xref>; Shafeie et al., <xref ref-type="bibr" rid="B51">2012</xref>; Cheng et al., <xref ref-type="bibr" rid="B8">2014</xref>; Patel et al., <xref ref-type="bibr" rid="B40">2014</xref>; Bostr&#x000F6;m et al., <xref ref-type="bibr" rid="B6">2018</xref>; Objero et al., <xref ref-type="bibr" rid="B39">2019</xref>). However, this strategy seems to be used to some extent by both, the neurotypical and ADHD-affected children as the group difference of 7.5% in the one-leg stand task is not as large as might be expected. A group difference of more than 11% on the balance beam task suggests that as task difficulty increases, the groups diverge further in their need for compensatory arm movements. Difficulties in long-term postural control have previously been observed in adult patients with ADHD, whose postural deficits were linked to symptoms of hyperactivity and impulsivity (Jansen et al., <xref ref-type="bibr" rid="B26">2019</xref>). Similarly, attention regulation is often affected, so it is conceivable that the patient group may have difficulties in consciously controlling movements due to the nature of these symptoms, resulting in increased or inconsistent joint torques.</p>
<p>Within the 25-s single-leg standing task, no significant group differences were found for joint torque variation, our measure of the amount of change of torque for any joint group. This is somewhat surprising as the often uncoordinated and imprecise movements presented by children with ADHD would suggest that especially the measure of torque variation would reflect this. In contrast to that, it is the group of typically developing children that presents a 34% higher torque variation around the hip during the task of static balance. These findings are not in line with Mao et al. (<xref ref-type="bibr" rid="B33">2014</xref>) who noticed that children with ADHD, unlike their healthy controls, continuously changed their patterns of movement to find the correct balance strategy in a dynamic horseback riding task. Although not significant, this rather large group difference is interesting as it suggests distinctive tactics to restore equilibrium between the two groups. A similar observation to the static balance task was made in dynamic balancing, where the group difference was in fact significant with a 25% higher hip torque variation in the neurotypical group. Moreover, the 9% higher hip torque amplitude of the neurotypical group during static balance is noteworthy as this difference is trending toward significance.</p>
<p>The discovery of restricted hip movement is not completely novel and has already been made by Stray et al. (<xref ref-type="bibr" rid="B54">2009</xref>) where 80% of the ADHD patients displayed limited hip movement during a passive movement test, while this was not shown by the group of typically developing children. The authors conclude that this restricted hip movement may be a direct consequence of the balance problems linked to ADHD, as these are related to difficulties in keeping the torso in an upright position. They argue that the observed hip stiffness results from the extreme use of gross movement muscles like the erector spinae and psoas major muscles to compensate suboptimal proximal stabilization (Stray et al., <xref ref-type="bibr" rid="B54">2009</xref>). Therefore, many ADHD patients seem to have induced biomechanical adaptations leading to strategies that involve more ankle torque to counterweigh the difficulty to create hip torque. This adaptation, however, is rather undesirable as the hip strategy seems to be more efficient than the ankle strategy for the restoration of balance. Regarding our findings, it is therefore thinkable that only the neurotypical subjects were able to generate sufficiently large compensatory hip torques as a way to regain stability. The hip strategy specifically involves activating the large muscles of the thighs and trunk to compensate for loss of balance (Horak and Nashner, <xref ref-type="bibr" rid="B22">1986</xref>). Early activation of hip and trunk muscles during challenged translation on a narrow surface has previously been reported in healthy adults (Henry et al., <xref ref-type="bibr" rid="B21">1998</xref>). Although hip and ankle strategy are two distinctive and similarly important methods, it is known that especially for more demanding balancing tasks and faster perturbations the hip strategy seems to be more efficient in stabilizing the body in terms of balance recovery and muscle stress compared to the ankle and upper body strategies (Runge et al., <xref ref-type="bibr" rid="B49">1999</xref>).</p>
<p>Another interesting theory for hip stiffness and thus reduced torque generation in ADHD subjects is related to the brain&#x00027;s dopamine deficiency. Dopamine is an important neurotransmitter strongly involved in movement, motivation, and attention inter alia (Ungerstedt et al., <xref ref-type="bibr" rid="B58">1982</xref>). Parkinson&#x00027;s disease, another condition in which low dopamine concentration in the brain plays an essential role, is characterized by symptoms like rigidity or stiffness (Heisters, <xref ref-type="bibr" rid="B20">2011</xref>). Low brain dopamine levels may hence be another reasonable explanation for the observed hip stiffness in ADHD. Understanding why this stiffness manifests around the hip more than in other body regions requires further research.</p>
<p>Pertaining to brain regions involved in ADHD, not only disturbances in the prefrontal cortex and basal ganglia, but notably also impairments of the cerebellum are known to contribute to motor deficits such as balance or muscle tone regulation in the subject group (Goetz et al., <xref ref-type="bibr" rid="B15">2014</xref>). Numerous neuroimaging studies report a reduction in cerebellar volume in ADHD patients compared to typically developing subjects (Castellanos et al., <xref ref-type="bibr" rid="B7">1996</xref>; Krain and Castellanos, <xref ref-type="bibr" rid="B30">2006</xref>; Mackie et al., <xref ref-type="bibr" rid="B32">2007</xref>; Bledsoe et al., <xref ref-type="bibr" rid="B4">2009</xref>). Since the cerebellum has a substantial function in postural control, sensory integration, and motor coordination, differences in balance strategies and thus differences in resulting torque generation between the groups of ADHD affected and neurotypical children during tasks of static and dynamic balance are plausible. Besides, excessive, unregulated movements may be owed to weakened impulse regulation in connection with cerebellar deficits (Jansen et al., <xref ref-type="bibr" rid="B26">2019</xref>).</p>
<p>Moreover, a notable finding in our data is that age turned out to have a small but significant effect on torque amplitude in both balance tasks, while it did not significantly affect the torque variation. Many children with ADHD display a delay in motor development and compromised mechanisms of somatosensory integration (Rosa Neto et al., <xref ref-type="bibr" rid="B47">2015</xref>). Yet, there seem to be age-related differences in torque generation among children aged 8 to 12 years.</p>
<p>The present study has several limitations. There is currently no standard data or uniform calculation method for the use of ankle, hip, or upper body strategies during balance tasks in children. Conclusions on increased or reduced joint torque amplitudes and variations can therefore only be drawn with respect to our relatively small control group of neurotypical children, of which we also lack standard data. Another limitation is that small faults in performance, such as losing balance and slipping of the balance beam, certainly create larger torques, which may be a confounding variable. However, such faults happened only rarely and were observed among both groups. A further limitation concerning the methodology is that the inverse dynamics simulation used to model the joint torques has to make specific assumptions to overcome the motor redundancies of muscular activation patterns. These assumptions, however, are potentially tailored to a neurotypical population and may or may not differ between neurotypical and non-neurotypical subjects. The small sample sizes and unequal gender distribution of the two groups are not necessarily representative of a broader ADHD population. Literature suggests that balance performance may differ among boys and girls (Nolan et al., <xref ref-type="bibr" rid="B38">2005</xref>; Mickle et al., <xref ref-type="bibr" rid="B35">2011</xref>). Although this evidence was shown for postural sway it is not unlikely that the same may apply to postural strategies in terms of joint torques, thus the findings must be interpreted with care. However, our results are useful to make deductions on boys and girls with and without ADHD on a broader age spectrum of 8 to 12 years. Another potential limitation is that the study did not differentiate between subtypes of the disorder, which could be improved by adding this element as a statistical covariate. However, postural stability in young ADHD patients is more dependent on the comorbid psychiatric disorders than on subtypes (Ghanizadeh, <xref ref-type="bibr" rid="B13">2011</xref>). In summary, future studies would need to include a larger number of subjects and, if possible, collect detailed information on the demographic and clinical characteristics of the patient group to strengthen the applicability of the findings. A strength of our study is that all children in the ADHD group were medication-na&#x000EF;ve, thereby excluding the possibility that postural stability is confounded by symptom-reducing medication.</p>
</sec>
<sec sec-type="conclusions" id="s5">
<title>5 Conclusion</title>
<p>Although during static and dynamic balance tasks various postural strategies are typically engaged simultaneously, our findings indicate that in a direct group comparison, children with ADHD tend to create torque predominantly around the ankle joints to stabilize their body, while they may not be able to rely on proximal stabilization from the hip, possibly due to high muscle tone and stiffness in this area. The larger torques observed when shifting the body COM around the ankle joints may result from reduced neuromuscular control, compromised integration of proprioceptive inputs, and inefficient movement patterns, commonly present in ADHD patients as reported by related literature. However, further research is warranted to confirm this connection. Likewise, increased movements of head, arms, and trunk during balancing may be related to symptoms like hyperactivity and impulsivity. These deficits in postural control are likely associated with a reduced cerebellar volume commonly reported in ADHD patients. While the amplitude of ankle and upper body torques varied notably between the two groups, no differences were observed for torque variation for these two joint groups. For the hip joint, lower torque variations were presented by the ADHD group compared to neurotypical group, implying very little hip movement during both balance tasks. Children with ADHD may have adopted postural strategies with a high involvement of ankle torque to compensate for their potential hip stiffness. Comparable to Parkinson&#x00027;s disease, hip rigidity in ADHD patients may be linked to dopamine deficiency in the brain, which, however, remains to be confirmed by future research.</p>
<p>Differences in joint torques during balance tasks between children with and without ADHD are the result of several factors, ranging from motor to sensory and even cognitive challenges. Creating joint torque to stabilize the body and control movements is beneficial and fundamental in many sports and daily activities. Children with ADHD may have difficulties efficiently employing and combining postural strategies to the requirements of a given situation. Therefore, assessing postural control within the affected group is an essential step in creating therapeutic interventions and training programs tailored to the precise needs of each individual so that postural stability is supported, whereby injury risk is minimized and wellbeing sustained.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found at: <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.17879/23908523699">https://doi.org/10.17879/23908523699</ext-link>.</p>
</sec>
<sec sec-type="ethics-statement" id="s7">
<title>Ethics statement</title>
<p>The studies involving humans were approved by University of M&#x000FC;nster Ethics Committee of Faculty 7. The studies were conducted in accordance with the local legislation and institutional requirements. Written informed consent for participation in this study was provided by the participants&#x00027; legal guardians/next of kin.</p>
</sec>
<sec sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>TC: Formal analysis, Data curation, Writing &#x02013; original draft, Investigation, Writing &#x02013; review &#x00026; editing. KB: Formal analysis, Data curation, Investigation, Writing &#x02013; review &#x00026; editing, Visualization, Methodology, Software. HW: Methodology, Conceptualization, Project administration, Supervision, Validation, Writing &#x02013; review &#x00026; editing. CB: Project administration, Validation, Writing &#x02013; review &#x00026; editing, Supervision, Conceptualization, Methodology, Investigation.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research and/or publication of this article.</p>
</sec>
<ack><p>We would like to thank Thomas Michel, now retired, from the district government of M&#x000FC;nster for his vital assistance in subject acquisition. We also thank Meike Gerlach and Marc de Lussanet for their support in data processing. Last but not least, we want to give special thanks to the many, many students and scientific staff of the University of M&#x000FC;nster who aided in data collection. A part of the contents of this manuscript were introduced at the 30<sup>th</sup> congress of the European College of Sport Science (ECSS) during a poster presentation in July 2025.</p>
</ack>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s10">
<title>Generative AI statement</title>
<p>The author(s) declare that no Gen AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x00027;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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