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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Surg.</journal-id>
<journal-title>Frontiers in Surgery</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Surg.</abbrev-journal-title>
<issn pub-type="epub">2296-875X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fsurg.2023.1135327</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Surgery</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Postoperative hip center position is associated with gait symmetry in range of axial rotation in dysplasia patients after THA</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes"><name><surname>Hu</surname><given-names>Yi</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="author-notes" rid="an1"><sup>&#x2020;</sup></xref><uri xlink:href="https://loop.frontiersin.org/people/1820721/overview"/></contrib>
<contrib contrib-type="author" equal-contrib="yes"><name><surname>Zou</surname><given-names>Diyang</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="author-notes" rid="an1"><sup>&#x2020;</sup></xref></contrib>
<contrib contrib-type="author"><name><surname>Jiang</surname><given-names>Mengda</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref><uri xlink:href="https://loop.frontiersin.org/people/2267744/overview" /></contrib>
<contrib contrib-type="author"><name><surname>Qian</surname><given-names>Qingyu</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref></contrib>
<contrib contrib-type="author" corresp="yes"><name><surname>Li</surname><given-names>Huiwu</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="cor1">&#x002A;</xref><uri xlink:href="https://loop.frontiersin.org/people/1210128/overview" /></contrib>
<contrib contrib-type="author" corresp="yes"><name><surname>Tsai</surname><given-names>Tsung-Yuan</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="corresp" rid="cor1">&#x002A;</xref><uri xlink:href="https://loop.frontiersin.org/people/1178441/overview" /></contrib>
<contrib contrib-type="author" corresp="yes"><name><surname>Zhang</surname><given-names>Jingwei</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="cor1">&#x002A;</xref><uri xlink:href="https://loop.frontiersin.org/people/1586776/overview" /></contrib>
</contrib-group>
<aff id="aff1"><label><sup>1</sup></label><addr-line>Shanghai Key Laboratory of Orthopaedic Implants, Department of Orthopaedic Surgery</addr-line>, <institution>Shanghai Ninth People&#x0027;s Hospital, Shanghai Jiao Tong University School of Medicine</institution>, <addr-line>Shanghai</addr-line>, <country>China</country></aff>
<aff id="aff2"><label><sup>2</sup></label><addr-line>School of Biomedical Engineering</addr-line>, <institution>Med-X Research Institute, Shanghai Jiao Tong University</institution>, <addr-line>Shanghai</addr-line>, <country>China</country></aff>
<aff id="aff3"><label><sup>3</sup></label><addr-line>Department of Radiology</addr-line>, <institution>Shanghai Ninth People&#x0027;s Hospital, Shanghai Jiao Tong University School of Medicine</institution>, <addr-line>Shanghai</addr-line>, <country>China</country></aff>
<aff id="aff4"><label><sup>4</sup></label><institution>TaoImage Medical Technologies Corporation</institution>, <addr-line>Shanghai</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p><bold>Edited by:</bold> Jibanananda Satpathy, Virginia Commonwealth University Health System, United States</p></fn>
<fn fn-type="edited-by"><p><bold>Reviewed by:</bold> Matteo Innocenti, University of Florence, Italy Vishal Saxena, University of Florida, United States Sanjay Rastogi, Boston University, United States</p></fn>
<corresp id="cor1"><label>&#x002A;</label><bold>Correspondence:</bold> Huiwu Li <email>huiwu1223@163.com</email> Tsung-Yuan Tsai <email>tytsai@sjtu.edu.cn</email> Jingwei Zhang <email>zjw_ys@163.com</email></corresp>
<fn fn-type="equal" id="an1"><label><sup>&#x2020;</sup></label><p>These authors have contributed equally to this work</p></fn>
<fn fn-type="other" id="fn001"><p>Abbreviations 6-DOF, six degrees of freedom; APP, anterior pelvic plane; ASIS, anterior superior iliac spine; CT, computed tomography; DDH, developmental dysplasia of the hip; DFIS, dual fluoroscopic imaging system; HRC, hip rotation center; MSP, medial sagittal plane; ROM, range of motion; SI, symmetry index; SP, symphysis pubis; THA, total hip arthroplasty; TPP, transverse pelvic plane.</p></fn>
</author-notes>
<pub-date pub-type="epub"><day>10</day><month>05</month><year>2023</year></pub-date>
<pub-date pub-type="collection"><year>2023</year></pub-date>
<volume>10</volume><elocation-id>1135327</elocation-id>
<history>
<date date-type="received"><day>31</day><month>12</month><year>2022</year></date>
<date date-type="accepted"><day>25</day><month>04</month><year>2023</year></date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2023 Hu, Zou, Jiang, Qian, Li, Tsai and Zhang.</copyright-statement>
<copyright-year>2023</copyright-year><copyright-holder>Hu, Zou, Jiang, Qian, Li, Tsai and Zhang</copyright-holder><license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract><sec><title>Background</title>
<p>This study aimed to explore whether pre- or postoperative hip structures or surgical changes significantly influence hip range of motion (ROM) symmetry in patients with hip dysplasia during gait after total hip arthroplasty (THA) and provide possible surgical suggestions.</p>
</sec><sec><title>Methods</title>
<p>Fourteen patients with unilateral hip dysplasia underwent computed tomography before and after surgery to create three-dimensional hip models. Pre- and postoperative acetabular and femoral orientations, hip rotation centers (HRC), and femoral lengths were measured. Bilateral hip ROM during level walking after THA was quantified using dual fluoroscopy. The ROM symmetry in flexion-extension, adduction-abduction, and axial rotation was calculated using the symmetry index (SI). The relationship between SI and the above anatomical parameters and demographic characteristics was tested using Pearson&#x0027;s correlation and linear regression.</p>
</sec><sec><title>Results</title>
<p>The average SI values for flexion-extension, adduction-abduction, and axial rotation during gait were &#x2212;0.29, &#x2212;0.30, and &#x2212;0.10, respectively. Significant correlations were detected mainly in the postoperative HRC position. A distally placed HRC was associated with increased SI values for adduction-abduction (<italic>R</italic>&#x2009;&#x003D;&#x2009;&#x2212;0.47, <italic>p</italic>&#x2009;&#x003D;&#x2009;0.045), while a medially placed HRC was associated with decreased SI values for axial rotation (<italic>R</italic>&#x2009;&#x003D;&#x2009;0.63, <italic>p</italic>&#x2009;&#x003D;&#x2009;0.007). A regression analysis indicated that horizontal HRC positions significantly determined axial rotational symmetry (<italic>R</italic><sup>2</sup>&#x2009;&#x003D;&#x2009;0.40, <italic>p</italic>&#x2009;&#x003D;&#x2009;0.015). Normal axial rotation SI values were achieved with HRC between 17&#x2005;mm medially and 16&#x2005;mm laterally.</p>
</sec><sec><title>Conclusions</title>
<p>Postoperative HRC position was significantly correlated with gait symmetry in the frontal and transverse planes in patients with unilateral hip dysplasia after THA. Surgical reconstruction of the HRC to between 17&#x2005;mm medially and 16&#x2005;mm laterally may contribute to gait symmetry.</p>
</sec>
</abstract>
<kwd-group>
<kwd>total hip arthroplasty</kwd>
<kwd>gait symmetry</kwd>
<kwd>fluoroscope</kwd>
<kwd>hip center</kwd>
<kwd>developmental hip dysplasia (DDH)</kwd>
</kwd-group><contract-num rid="cn001">31900941</contract-num><contract-num rid="cn002">ZH2018QNA06</contract-num><contract-sponsor id="cn001">National Nature Science Foundation of China</contract-sponsor><contract-sponsor id="cn002">Interdisciplinary Program of Shanghai Jiao Tong University</contract-sponsor><counts>
<fig-count count="2"/>
<table-count count="4"/><equation-count count="1"/><ref-count count="51"/><page-count count="0"/><word-count count="0"/></counts><custom-meta-wrap><custom-meta><meta-name>section-at-acceptance</meta-name><meta-value>Orthopedic Surgery</meta-value></custom-meta></custom-meta-wrap>
</article-meta>
</front>
<body><sec id="s1" sec-type="intro"><title>Introduction</title>
<p>Developmental dysplasia of the hip (DDH), a leading precursor of secondary osteoarthritis (OA), is seen in 20&#x0025;&#x2013;40&#x0025; of patients with hip OA (<xref ref-type="bibr" rid="B1">1</xref>). This may eventually lead to total hip arthroplasty (THA) to relieve pain and improve function (<xref ref-type="bibr" rid="B1">1</xref>). However, a broad range of pathomorphological changes from the acetabular and femoral sides, including bony acetabular defects and a high-riding or even dislocated femoral head, make THA in patients with DDH a highly complex reconstruction (<xref ref-type="bibr" rid="B2">2</xref>). In addition, the incidence of postoperative limping in such patients increases with deformities, reaching 45.5&#x0025;&#x2013;83.0&#x0025; in the Crowe III&#x2013;IV type (<xref ref-type="bibr" rid="B3">3</xref>&#x2013;<xref ref-type="bibr" rid="B5">5</xref>). Other complication risks, including aseptic loosening, dislocation, and polyethylene wear, are much higher than in these patients than in those with primary OA (<xref ref-type="bibr" rid="B6">6</xref>&#x2013;<xref ref-type="bibr" rid="B8">8</xref>).</p>
<p>Because of pain and weakness, lingering limping or asymmetrical gait patterns are common in patients after THA (<xref ref-type="bibr" rid="B9">9</xref>). However, despite proper rehabilitation, such asymmetry usually persists for more than 12 months after surgery (<xref ref-type="bibr" rid="B10">10</xref>). This not only impairs life quality but might increase joint loading and OA risks in the contralateral limb and induce further prosthetic failure on the affected side (<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B12">12</xref>). Therefore, optimizing postoperative gait patterns and avoiding persistent asymmetry are crucial for improving clinical outcomes.</p>
<p>Anatomical hip reconstruction is required in standard THA to ensure biomechanical superiority and normal walking mechanics (<xref ref-type="bibr" rid="B7">7</xref>). However, due to the degree of deformity, reconstruction goals may not be all attainable in patients with DDH, which has a far-reaching influence on gait patterns (<xref ref-type="bibr" rid="B4">4</xref>, <xref ref-type="bibr" rid="B13">13</xref>, <xref ref-type="bibr" rid="B14">14</xref>). Although bringing the hip center back down to the true acetabulum makes hip rotating on the same level with the unaffected side, and favors gait symmetry, cup coverage is always insufficient due to acetabular defects in patients with DDH, and surgeons sometimes have to establish the center at a slightly superior position (<xref ref-type="bibr" rid="B15">15</xref>). The restoration of equal leg length contributes to gait symmetry, whereas in DDH patients with subluxated or high-riding hip centers, a deeper stem fixation or femoral shortening osteotomy may be necessary to reduce the hip to avoid potential neurovascular injury (<xref ref-type="bibr" rid="B16">16</xref>). Applying a conventional conical prosthesis is sufficient for appropriate joint alignment and anatomical restoration of the femoral offset (FO), which guarantees effective abductor action in primary OA patients (<xref ref-type="bibr" rid="B17">17</xref>). However, in DDH patients with variant acetabular or femoral angles and contracted abductors, modular components are sometimes selected to individually adjust joint alignments and additional increase FO to enhance abductor strength and avoid limping. When anatomical reconstruction goals become challenging and cannot be achieved in THA for patients with DDH, strategies that should be adopted to achieve better gait symmetry deserve further investigation. Should surgeons chase anatomic reconstruction despite pathomorphology or avoid immense surgical alterations and yield to preoperative deformities? Besides, which exact hip structure among several reconstruction goals should be anatomically rebuilt with priority, and which hip structure and to what extent could be compromised during operation also needs to be clarified.</p>
<p>Different reconstruction strategies during THA for patients with DDH result in different postoperative hip biomechanical environments and further affect gait symmetry and clinical outcomes (<xref ref-type="bibr" rid="B18">18</xref>&#x2013;<xref ref-type="bibr" rid="B20">20</xref>). Understanding how reconstruction strategies influence postoperative gait patterns is crucial for making necessary adjustments. Previous studies primarily measured hip structures using plain radiographs and investigated their relationship with skin marker-based gait analysis. Karaismailoglu et al. explored the effect of hip center height using gait analysis. They found that a unilateral 15-mm superiorly placed hip center on x-ray reduced hip motion range on the operated side and increased fall risks, while such an effect disappeared when patients&#x0027; bilateral hips were symmetrically reconstructed at the same height (<xref ref-type="bibr" rid="B20">20</xref>, <xref ref-type="bibr" rid="B21">21</xref>). When the leg length discrepancy is within 20&#x2005;mm on radiographs, patients with unilateral DDH showed less gait symmetry than healthy controls at the 5-year follow-up after THA (<xref ref-type="bibr" rid="B22">22</xref>). Greater bilateral symmetry was detected if the leg length discrepancy was less than 10&#x2005;mm (<xref ref-type="bibr" rid="B22">22</xref>). Sariali et al. performed gait analyses of patients after THA. They found that an isolated decrease of 15&#x0025; in FO induced statistically significant gait asymmetry between the sides with a reduced range of motion and a lower maximal swing speed on the operated side, whereas a restored or increased FO did not lead to gait symmetry alterations (<xref ref-type="bibr" rid="B23">23</xref>). However, to the best of our knowledge, there are limited quantitative data on the association between precisely measured hip structures and gait characteristics in patients with DDH after THA.</p>
<p>To identify potential factors influencing gait symmetry, here we first used a dual fluoroscopic imaging system (DFIS) based on three-dimensionally (3D) computed tomography (CT) modeling to measure the <italic>in vivo</italic> six degrees of freedom (6-DOF) hip kinematics of patients with DDH after THA during gait. We then tested the correlation between the characteristics of the gait symmetry index (SI) and the patients&#x0027; demography and hip anatomic structures before and after THA and their changes during surgery. We aimed to determine the following: (1) the relationship between the above parameters and gait SI in such DDH patients; (2) whether demographic information, pre- or postoperative anatomic structures, or changes during surgery had the most significant influence on gait SI and should be managed carefully during THA; and (3) provide specific reconstruction suggestions that most benefit the recovery of gait symmetry in DDH patients following THA. We hypothesized that postoperative hip structure would be the most influential factor affecting gait symmetry after THA.</p>
</sec>
<sec id="s2"><title>Materials and methods</title>
<sec id="s2a"><title>Patient demographics</title>
<p>This retrospective study was approved by the institutional review board. Written informed consent was obtained from each participant before the study. Fourteen patients (three men, 11 women) with excellent functional unilateral THA (Harris hip score,&#x2009;&#x003E;&#x2009;90 points) for end-stage hip OA secondary to DDH on one side and a healthy status on the other side based on radiological findings were recruited. Patients bilaterally affected, with diseases affecting joint movements, or with a history of other hip surgeries or THA complications such as dislocation, subluxation, or periprosthetic fractures were excluded. Patients who underwent THA for less than 1 year were also excluded. Five patients were diagnosed with Crowe type II, four with Crowe type III, and the other five with Crowe type IV DDH (<xref ref-type="bibr" rid="B2">2</xref>). The average follow-up period was 3.4 years (&#x00B1;1.0; range, 2.0&#x2013; 5.4; <xref ref-type="table" rid="T1">Table&#x00A0;1</xref>).</p>
<table-wrap id="T1" position="float"><label>Table 1</label>
<caption><p>Patient demographic characteristics.</p></caption>
<table frame="hsides" rules="groups">
<colgroup>
<col align="left"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th valign="top" align="left">Characteristic</th>
<th valign="top" align="center">Value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Sex (male/female)</td>
<td valign="top" align="center">3/11</td>
</tr>
<tr>
<td valign="top" align="left">Age (y)</td>
<td valign="top" align="center">57.2&#x2009;&#x00B1;&#x2009;12.4</td>
</tr>
<tr>
<td valign="top" align="left">Height (m)</td>
<td valign="top" align="center">1.62&#x2009;&#x00B1;&#x2009;0.06</td>
</tr>
<tr>
<td valign="top" align="left">Weight (kg)</td>
<td valign="top" align="center">61.7&#x2009;&#x00B1;&#x2009;8.7</td>
</tr>
<tr>
<td valign="top" align="left">BMI (kg/m<sup>2</sup>)</td>
<td valign="top" align="center">23.3&#x2009;&#x00B1;&#x2009;2.3</td>
</tr>
<tr>
<td valign="top" align="left">Follow-up (y)</td>
<td valign="top" align="center">3.4&#x2009;&#x00B1;&#x2009;1.0</td>
</tr>
<tr>
<td valign="top" align="left">Crowe classification (type I/II/III/IV)</td>
<td valign="top" align="center">0/5/4/5</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="table-fn2"><p>Values are shown as number or mean&#x2009;&#x00B1;&#x2009;standard deviation.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s2b"><title>Surgical technique and rehabilitation</title>
<p>All THA were performed by the same group of qualified surgeons (HWL and JWZ) using a posterolateral approach. Generally, the acetabular cup is implanted using a press-fit technique in an anatomically or slightly superior place. The femoral component that best matched the broached intramedullary canal was selected. In highly dislocated cases, the capsule was cut off for reduction. Muscle and soft tissue release was performed as less as possible, and no release was made of the gluteus maximus or iliopsoas. None of the patients underwent femoral shortening osteotomy. Cementless cups (SecurFit, Stryker, USA; Pinnacle, DePuy, USA) and stems (SecurFit, Stryker; Corail, DePuy; and S-rom, DePuy) were implanted in all patients.</p>
<p>The patients began passive range of movement exercises 24&#x2005;h postoperative and mobilized non-weight-bearing in the first week postoperative. Partial weight-bearing as tolerated was allowed for the following 6 weeks. Thereafter, progressive weight-bearing with crutches was performed, with unrestricted walking allowed after 8 or 12 weeks.</p>
</sec>
<sec id="s2c"><title>CT-Based 3d modeling and anatomical parameter measurements</title>
<p>Each patient underwent CT (SOMATOM Definition Flash, Siemens, Germany) covering the bilateral anterior superior iliac spine and posterior borders of the medial and lateral condyles with a 0.5-mm interspace thickness before and after THA. The CT images were imported into Amira (Amira 6.7; Thermo Fisher Scientific, Rockford, IL, USA) to create 3D surface models of the hip using a region-growing method. Models of the pelvic and bilateral femurs before and after THA and the implanted prosthesis were prepared.</p>
<p>The above models were imported into Rhino 5.0 (Rhinoceros, Robert McNeel &#x0026; Associates, Seattle, WA, USA) for anatomical measurements. The anterior pelvic plane (APP), established by the bilateral anterior superior iliac spine (ASIS) and symphysis pubis (SP), was considered the reference plane for the anatomical component position. The transverse pelvic plane (TPP) was perpendicular to the APP and horizontal to the connection between the bilateral ASIS. The medial sagittal plane (MSP) was perpendicular to the APP and TPP and passed through the midpoint of the SP. The center of the best-fit sphere to the femoral head was defined as the center of hip rotation center (HRC). The relative distance of the HRC to the APP, TPP, and MSP compared to the healthy side was recorded as the HRC position, with positive values indicating a more proximally, laterally, or anteriorly placed HRC (<xref ref-type="fig" rid="F1">Figure&#x00A0;1</xref>). When the pelvis is seriously asymmetrical, the ASIS on the healthy side and its mirroring are alternatively used to establish an APP (<xref ref-type="bibr" rid="B24">24</xref>). Acetabular anteversion and inclination were measured according to Murray&#x0027;s anatomical definitions (<xref ref-type="bibr" rid="B25">25</xref>). Femoral anteversion was defined as the angle formed by the femoral neck axis, the plane passing through the posterior medial and lateral femoral condyles, and the lesser trochanter. The combined anteversion was calculated as the sum of the acetabular and femoral anteversions (<xref ref-type="bibr" rid="B26">26</xref>). The absolute femoral length was measured as the distance between the HRC and the midpoint of the femoral condyles and the relative values between the sides were recorded. Positive values indicated a prolonged affected femur. The values of these variables before and after surgery and the changes in THA were collected for further testing.</p>
<fig id="F1" position="float"><label>Figure 1</label>
<caption><p>The anterior pelvic plane (APP), transverse pelvic plane (TPP), medial sagittal plane (MSP), and hip rotation center (HRC) shown on models of the pelvis and implants. The relative distance to three plans was recorded as HRC position.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="fsurg-10-1135327-g001.tif"/>
</fig>
</sec>
<sec id="s2d"><title>Hip kinematics measurements during gait and symmetry Index</title>
<p>The DFIS was first established by placing two mobile fluoroscopes (ARCADIS Varic, Siemens, Germany) in nearly orthogonal positions. Each patient then performed level walking on a treadmill at a speed of 1&#x2005;km/h under DFIS surveillance (30 snapshots/s with an 8&#x2005;ms pulse width, 60&#x2013;80&#x2005;kV, and 0.042&#x2013;0.066&#x2005;mAs) for the implanted and contralateral healthy hips. Next, the 3D hip models were imported into MATLAB (2020a; MathWorks, Natick, MA, USA), in which the pelvic and femoral local coordinate system was defined according to International Society of Biomechanics recommendations (<xref ref-type="bibr" rid="B27">27</xref>). Subsequently, a series of fluoroscopic images and hip models was imported into a simulated environment using MATLAB. The hip models were translated and rotated through 6-DOF in this 3D virtual space until the models matched the fluoroscopic images. The tracking errors for this DFIS technique are &#x003C;0.35&#x2005;mm and &#x003C;0.55&#x00B0; (<xref ref-type="bibr" rid="B28">28</xref>). The maximum range of motion (ROM) in flexion-extension, adduction-abduction, and axial rotation was calculated for the implanted and contralateral healthy hips.</p>
<p>Gait asymmetries in this study were quantified using the SI, a validated parameter that summarizes overall gait kinematic quality (<xref ref-type="bibr" rid="B29">29</xref>). Several spatiotemporal parameters of the gait cycle, including joint angles and velocities, can be calculated for SI scores (<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B30">30</xref>&#x2013;<xref ref-type="bibr" rid="B32">32</xref>). In this study, we selected the ROM for calculation consistent with previous studies (<xref ref-type="bibr" rid="B32">32</xref>). The SI was calculated as follows:<disp-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="UDM1"><mml:mi>S</mml:mi><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>o</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>h</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn>0.5</mml:mn><mml:mspace width="thinmathspace" /><mml:mo>&#x00D7;</mml:mo><mml:mspace width="thinmathspace" /><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>o</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>h</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math></disp-formula>where X<sub>op</sub> is the ROM of the operated side and X<sub>he</sub> is the ROM of the contralateral healthy side. The SI values for flexion-extension, adduction-abduction, and axial rotation for each patient were calculated. To define normative symmetry values, a 95&#x0025; confidence interval (CI) was calculated for each SI in the normal THA group. The results by Tsai et al. were referred to as normal after the elimination of extreme values, and the calculated SI in 95&#x0025; CI were &#x2212;0.42 to 0.20 for flexion-extension in the sagittal plane, &#x2212;0.66 to 0.80 for adduction-abduction in the coronal plane, and &#x2212;0.75 to 0.87 for axial rotation in the transverse plane.</p>
</sec>
<sec id="s2e"><title>Statistical analysis</title>
<p>All statistical analyses were performed using SPSS Statistics for Mac (version 26.0; IBM Corp., Armonk, NY, USA). We primarily focused on the most influencing variable on gait symmetry, and further explored the relationship between them and possible surgical suggestions. We first used Pearson&#x0027;s correlation analysis to test the relationship between various linear variables and gait SI in the three directions. These variables included demographic characteristics, preoperative and postoperative component positions, and surgical changes. Then, three forward stepwise multiple regression models were established to determine the linear variables that contributed the most to the SI values in each direction. The level of significance was set at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05.</p>
</sec>
</sec>
<sec id="s3" sec-type="results"><title>Results</title>
<sec id="s3a"><title>Postoperative gait SI values and Hip anatomic parameters</title>
<p>On average, the SI value for flexion-extension in these patients was &#x2212;0.29&#x2009;&#x00B1;&#x2009;0.36, close to that for adduction-abduction of &#x2212;0.30&#x2009;&#x00B1;&#x2009;0.37. More deviated SI values of &#x2212;0.10&#x2009;&#x00B1;&#x2009;0.53 were achieved with the axial rotation (<xref ref-type="table" rid="T2">Table&#x00A0;2</xref>). The average SI values in the three directions were all negative, indicating that the implanted side had a smaller ROM than the healthy side, and there was restriction to some extent. Specifically, eight patients had normal SI values for flexion-extension and 12 patients for adduction-abduction and axial rotation (<xref ref-type="table" rid="T2">Table&#x00A0;2</xref>). Only six (43&#x0025;) patients had normal SI values in all three directions.</p>
<table-wrap id="T2" position="float"><label>Table 2</label>
<caption><p>Postoperative SI values in three directions during gait.</p></caption>
<table frame="hsides" rules="groups">
<colgroup>
<col align="left"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th valign="top" align="left">Patient ID</th>
<th valign="top" align="center">Flexion-extension</th>
<th valign="top" align="center">Adduction-abduction</th>
<th valign="top" align="center">Axial rotation</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">1</td>
<td valign="top" align="center">&#x2212;0.26</td>
<td valign="top" align="center">&#x2212;0.34</td>
<td valign="top" align="center">0.27</td>
</tr>
<tr>
<td valign="top" align="left">2</td>
<td valign="top" align="center">&#x2212;0.08</td>
<td valign="top" align="center">&#x2212;0.55</td>
<td valign="top" align="center">&#x2212;0.58</td>
</tr>
<tr>
<td valign="top" align="left">3</td>
<td valign="top" align="center">0.05</td>
<td valign="top" align="center">&#x2212;0.03</td>
<td valign="top" align="center">0.71</td>
</tr>
<tr>
<td valign="top" align="left">4</td>
<td valign="top" align="center">&#x2212;0.47</td>
<td valign="top" align="center">0.40</td>
<td valign="top" align="center">&#x2212;0.74</td>
</tr>
<tr>
<td valign="top" align="left">5</td>
<td valign="top" align="center">&#x2212;1.01</td>
<td valign="top" align="center">&#x2212;0.41</td>
<td valign="top" align="center">&#x2212;0.14</td>
</tr>
<tr>
<td valign="top" align="left">6</td>
<td valign="top" align="center">&#x2212;0.38</td>
<td valign="top" align="center">&#x2212;0.52</td>
<td valign="top" align="center">0.45</td>
</tr>
<tr>
<td valign="top" align="left">7</td>
<td valign="top" align="center">&#x2212;0.21</td>
<td valign="top" align="center">0.06</td>
<td valign="top" align="center">&#x2212;0.09</td>
</tr>
<tr>
<td valign="top" align="left">8</td>
<td valign="top" align="center">&#x2212;0.41</td>
<td valign="top" align="center">&#x2212;0.19</td>
<td valign="top" align="center">0.61</td>
</tr>
<tr>
<td valign="top" align="left">9</td>
<td valign="top" align="center">&#x2212;0.44</td>
<td valign="top" align="center">&#x2212;0.29</td>
<td valign="top" align="center">0.09</td>
</tr>
<tr>
<td valign="top" align="left">10</td>
<td valign="top" align="center">0.14</td>
<td valign="top" align="center">&#x2212;0.90</td>
<td valign="top" align="center">&#x2212;0.85</td>
</tr>
<tr>
<td valign="top" align="left">11</td>
<td valign="top" align="center">&#x2212;0.51</td>
<td valign="top" align="center">&#x2212;0.37</td>
<td valign="top" align="center">0.26</td>
</tr>
<tr>
<td valign="top" align="left">12</td>
<td valign="top" align="center">&#x2212;0.75</td>
<td valign="top" align="center">&#x2212;0.63</td>
<td valign="top" align="center">&#x2212;0.19</td>
</tr>
<tr>
<td valign="top" align="left">13</td>
<td valign="top" align="center">0.34</td>
<td valign="top" align="center">0.24</td>
<td valign="top" align="center">&#x2212;0.80</td>
</tr>
<tr>
<td valign="top" align="left">14</td>
<td valign="top" align="center">&#x2212;0.06</td>
<td valign="top" align="center">&#x2212;0.72</td>
<td valign="top" align="center">&#x2212;0.47</td>
</tr>
<tr>
<td valign="top" align="left">Mean</td>
<td valign="top" align="center">&#x2212;0.29</td>
<td valign="top" align="center">&#x2212;0.30</td>
<td valign="top" align="center">&#x2212;0.10</td>
</tr>
<tr>
<td valign="top" align="left">SD</td>
<td valign="top" align="center">0.36</td>
<td valign="top" align="center">0.37</td>
<td valign="top" align="center">0.53</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="table-fn3"><p>SI, symmetry index; SD, standard deviation.</p></fn>
<fn id="table-fn4"><p>Positive degrees indicate that the operated side moved more than the healthy side and vice versa.</p></fn>
</table-wrap-foot>
</table-wrap>
<p>For joint alignments, only average cup anteversion was increased by 0.8&#x2009;&#x00B1;&#x2009;9.8&#x00B0;, with cup inclination, femoral and combined anteversion decreased by 23.4&#x2009;&#x00B1;&#x2009;8.0&#x00B0;, 5.0&#x2009;&#x00B1;&#x2009;11.4&#x00B0; and 4.3&#x2009;&#x00B1;&#x2009;14.8&#x00B0;, respectively (<xref ref-type="table" rid="T3">Table&#x00A0;3</xref>). THA removed HRC to the distal, medial and posterior direction when compared to the preoperative position, with an average translation of 10.2&#x2005;mm, 20.8&#x2005;mm and 3.2&#x2005;mm, respectively. The postoperative HRC was more superior, medial, and posterior than the contralateral side, with an average translation of 2.0&#x2005;mm, 4.1&#x2005;mm, and 2.4&#x2005;mm. The postoperative femur length discrepancy was 2.0&#x2005;mm on average, ranging from &#x2212;9.9 to 10.4&#x2005;mm (<xref ref-type="table" rid="T3">Table&#x00A0;3</xref>).</p>
<table-wrap id="T3" position="float"><label>Table 3</label>
<caption><p>Hip anatomic parameters before and after THA and their changes during surgery.</p></caption>
<table frame="hsides" rules="groups">
<colgroup>
<col align="left"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th valign="top" align="left"/>
<th valign="top" align="center" colspan="3">Acetabulum ante. (&#x00B0;)</th>
<th valign="top" align="center" colspan="3">Acetabulum inc. (&#x00B0;)</th>
<th valign="top" align="center" colspan="3">Femoral ante. (&#x00B0;)</th>
<th valign="top" align="center" colspan="3">Combined ante. (&#x00B0;)</th>
<th valign="top" align="center" colspan="3">HRC P/D&#x002A; (mm)</th>
<th valign="top" align="center" colspan="3">HRC A/P&#x002A; (mm)</th>
<th valign="top" align="center" colspan="3">HRC M/l&#x002A; (mm)</th>
<th valign="top" align="center" colspan="3">Femoral length&#x002A; (mm)</th>
</tr>
<tr>
<th valign="top" align="center"/>
<th valign="top" align="center">Pre</th>
<th valign="top" align="center">Post</th>
<th valign="top" align="center">D</th>
<th valign="top" align="center">Pre</th>
<th valign="top" align="center">Post</th>
<th valign="top" align="center">D</th>
<th valign="top" align="center">Pre</th>
<th valign="top" align="center">Post</th>
<th valign="top" align="center">D</th>
<th valign="top" align="center">Pre</th>
<th valign="top" align="center">Post</th>
<th valign="top" align="center">D</th>
<th valign="top" align="center">Pre</th>
<th valign="top" align="center">Post</th>
<th valign="top" align="center">D</th>
<th valign="top" align="center">Pre</th>
<th valign="top" align="center">Post</th>
<th valign="top" align="center">D</th>
<th valign="top" align="center">Pre</th>
<th valign="top" align="center">Post</th>
<th valign="top" align="center">D</th>
<th valign="top" align="center">Pre</th>
<th valign="top" align="center">Post</th>
<th valign="top" align="center">D</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Max.</td>
<td valign="top" align="center">38.6</td>
<td valign="top" align="center">45.1</td>
<td valign="top" align="center">16.5</td>
<td valign="top" align="center">79.1</td>
<td valign="top" align="center">51.0</td>
<td valign="top" align="center">&#x2212;11.3</td>
<td valign="top" align="center">51.2</td>
<td valign="top" align="center">41.9</td>
<td valign="top" align="center">10.9</td>
<td valign="top" align="center">89.9</td>
<td valign="top" align="center">64.6</td>
<td valign="top" align="center">19.1</td>
<td valign="top" align="center">53.8</td>
<td valign="top" align="center">19.7</td>
<td valign="top" align="center">6.8</td>
<td valign="top" align="center">22.7</td>
<td valign="top" align="center">20.6</td>
<td valign="top" align="center">2.0</td>
<td valign="top" align="center">35.9</td>
<td valign="top" align="center">6.7</td>
<td valign="top" align="center">&#x2212;9.2</td>
<td valign="top" align="center">7.3</td>
<td valign="top" align="center">10.4</td>
<td valign="top" align="center">24.5</td>
</tr>
<tr>
<td valign="top" align="left">Min.</td>
<td valign="top" align="center">11.8</td>
<td valign="top" align="center">10.5</td>
<td valign="top" align="center">&#x2212;19.0</td>
<td valign="top" align="center">56.7</td>
<td valign="top" align="center">39.4</td>
<td valign="top" align="center">&#x2212;39.7</td>
<td valign="top" align="center">8.4</td>
<td valign="top" align="center">7.5</td>
<td valign="top" align="center">&#x2212;25.5</td>
<td valign="top" align="center">32.0</td>
<td valign="top" align="center">33.2</td>
<td valign="top" align="center">&#x2212;34.4</td>
<td valign="top" align="center">&#x2212;13.9</td>
<td valign="top" align="center">&#x2212;23.9</td>
<td valign="top" align="center">&#x2212;38.8</td>
<td valign="top" align="center">&#x2212;25.1</td>
<td valign="top" align="center">&#x2212;29.3</td>
<td valign="top" align="center">&#x2212;8.9</td>
<td valign="top" align="center">5.7</td>
<td valign="top" align="center">&#x2212;16.9</td>
<td valign="top" align="center">&#x2212;37.8</td>
<td valign="top" align="center">&#x2212;30.9</td>
<td valign="top" align="center">&#x2212;9.9</td>
<td valign="top" align="center">&#x2212;13.7</td>
</tr>
<tr>
<td valign="top" align="left">Avg.</td>
<td valign="top" align="center">25.4</td>
<td valign="top" align="center">26.2</td>
<td valign="top" align="center">0.8</td>
<td valign="top" align="center">68.5</td>
<td valign="top" align="center">45.1</td>
<td valign="top" align="center">&#x2212;23.4</td>
<td valign="top" align="center">29.4</td>
<td valign="top" align="center">24.3</td>
<td valign="top" align="center">&#x2212;5.0</td>
<td valign="top" align="center">54.8</td>
<td valign="top" align="center">50.5</td>
<td valign="top" align="center">&#x2212;4.3</td>
<td valign="top" align="center">12.1</td>
<td valign="top" align="center">2.0</td>
<td valign="top" align="center">&#x2212;10.2</td>
<td valign="top" align="center">0.8</td>
<td valign="top" align="center">&#x2212;2.4</td>
<td valign="top" align="center">&#x2212;3.2</td>
<td valign="top" align="center">16.7</td>
<td valign="top" align="center">&#x2212;4.1</td>
<td valign="top" align="center">&#x2212;20.8</td>
<td valign="top" align="center">&#x2212;5.2</td>
<td valign="top" align="center">2.0</td>
<td valign="top" align="center">4.1</td>
</tr>
<tr>
<td valign="top" align="left">SD</td>
<td valign="top" align="center">8.3</td>
<td valign="top" align="center">9.2</td>
<td valign="top" align="center">9.8</td>
<td valign="top" align="center">7.2</td>
<td valign="top" align="center">4.1</td>
<td valign="top" align="center">8.0</td>
<td valign="top" align="center">12.6</td>
<td valign="top" align="center">9.4</td>
<td valign="top" align="center">11.4</td>
<td valign="top" align="center">15.1</td>
<td valign="top" align="center">9.0</td>
<td valign="top" align="center">14.8</td>
<td valign="top" align="center">18.1</td>
<td valign="top" align="center">11.8</td>
<td valign="top" align="center">14.3</td>
<td valign="top" align="center">12.7</td>
<td valign="top" align="center">12.7</td>
<td valign="top" align="center">3.6</td>
<td valign="top" align="center">9.5</td>
<td valign="top" align="center">7.0</td>
<td valign="top" align="center">8.3</td>
<td valign="top" align="center">10.4</td>
<td valign="top" align="center">6.5</td>
<td valign="top" align="center">9.7</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="table-fn5"><p>&#x002A;Relative data compared to the healthy side were used; Ante, anteversion; A/P, anterior/posterior; D, difference calculated by postoperative minus preoperative values; HRC, hip rotation center; Inc., inclination; M/l, medial/Lateral; P/D, proximal/distal; Post, postoperative; Pre, preoperative.</p></fn>
<fn id="table-fn6"><p>These parameters shown are maximum (Max.), minimum (Min.), average (Avg.) and standard deviation (SD).</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3b"><title>Correlation relationship between Various variables and gait Si</title>
<p>Pearson&#x0027;s correlation coefficient analysis revealed significant correlations with gait SI values, mainly in the postoperative joint structures (<xref ref-type="fig" rid="F2">Figure&#x00A0;2</xref>). A superior HRC after surgery correlated with smaller SI values for add-abduction (<italic>R</italic>&#x2009;&#x003D;&#x2009;&#x2212;0.47, <italic>p</italic>&#x2009;&#x003D;&#x2009;0.045; <xref ref-type="fig" rid="F2">Figure&#x00A0;2A</xref>). Statistically significant positive correlations with SI values for axial rotation were detected in postoperative HRC positions in the M/L direction, differences in acetabular inclination, and preoperative femoral anteversion (<xref ref-type="fig" rid="F2">Figures&#x00A0;2B&#x2013;D</xref>), and a negative correlation with preoperative acetabular inclination (<xref ref-type="fig" rid="F2">Figure&#x00A0;2E</xref>). There was no significant correlation between the SI values and flexion-extension.</p>
<fig id="F2" position="float"><label>Figure 2</label>
<caption><p>All significant correlations between SI values during gait and pre- and postoperative component positions as well as their changes in surgery (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05). (<bold>A</bold>): correlations with SI for adduction-abduction. (<bold>B&#x2013;E</bold>): correlations with SI for internal and external rotation. Post, postoperative; Pre, preoperative. (<bold>D</bold>) difference of postoperative minus preoperative data.</p></caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="fsurg-10-1135327-g002.tif"/>
</fig>
</sec>
<sec id="s3c"><title>Specific contributing factors and reconstruction suggestions</title>
<p>A further mathematical model using forward stepwise multiple regression selected the postoperative HRC position in the M/L direction as a significant contributing factor affecting the SI values for axial rotation (<xref ref-type="table" rid="T4">Table&#x00A0;4</xref>). A laterally placed acetabular cup significantly explained 40&#x0025; of the increase in SI values for axial rotation (<italic>p</italic>&#x2009;&#x003D;&#x2009;0.015; <xref ref-type="table" rid="T4">Table&#x00A0;4</xref>). Based on the regression model, when the acetabular cup was medially reconstructed by 2&#x2005;mm, the SI was 0, indicating that both hips had the same ROM in axial rotation. Normal SI values were achieved when the cup was reconstructed between 17&#x2005;mm medially and 16&#x2005;mm laterally, probably indicating symmetrical gait patterns in the transverse plane. No demographic or other variables were shown in any of the correlation or regression models. Normality tests of the residuals in the above analyses were all passed.</p>
<table-wrap id="T4" position="float"><label>Table 4</label>
<caption><p>Predictors in regression model for axial rotation SI values.</p></caption>
<table frame="hsides" rules="groups">
<colgroup>
<col align="left"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th valign="top" align="left">Predictor</th>
<th valign="top" align="center">Coefficient</th>
<th valign="top" align="center"><italic>R</italic><sup>2</sup></th>
<th valign="top" align="center"><italic>P</italic></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Constant</td>
<td valign="top" align="center">0.09</td>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
</tr>
<tr>
<td valign="top" align="left">Postoperative HRC M/l distance</td>
<td valign="top" align="center">0.05</td>
<td valign="top" align="center">0.40</td>
<td valign="top" align="center">0.015</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="table-fn7"><p>HRC, hip rotation center; M/l, medial/lateral; SI, symmetry index.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s4" sec-type="discussion"><title>Discussion</title>
<p>The current study investigated <italic>in vivo</italic> gait symmetry in patients with DDH following unilateral THA during level walking and its correlation with surgical interventions and corresponding reconstruction suggestions. This study found that only 43&#x0025; of these patients had symmetric gait. Further analysis revealed significant correlations between gait symmetry and postoperative joint structures, and the HRC position was a significant contributor to axial symmetry. In particular, postoperative hip center positions in the M/L direction determined gait axial symmetry. With the hip centers between 17&#x2005;mm medially and 16&#x2005;mm laterally, the gait symmetry in axial rotation could probably be improved.</p>
<p>Restoring anatomical hip structures is a general requirement for THA to improve hip biomechanics, support normal gait mechanics, and guarantee satisfactory clinical outcomes (<xref ref-type="bibr" rid="B33">33</xref>). However, this is not always possible in some patients due of preoperative deformities. Adjustive and compromised reconstruction strategies are adopted to avoid extreme surgical changes, including femoral shortening osteotomy and high hip center displacement, which contribute to smooth surgery and fast postoperative recovery (<xref ref-type="bibr" rid="B34">34</xref>&#x2013;<xref ref-type="bibr" rid="B36">36</xref>). However, such compromised strategies inevitably change hip biomechanics and may alter gait patterns, further affecting clinical outcomes. Previous studies primarily measured hip structures based on plain radiographs or CT scans and investigated the corresponding hip kinematic changes with gait analysis (<xref ref-type="bibr" rid="B20">20</xref>&#x2013;<xref ref-type="bibr" rid="B22">22</xref>, <xref ref-type="bibr" rid="B37">37</xref>). These studies had great achievements. However, x-rays are associated with image magnification, and the accuracy of the skin marker-based measurement is limited to soft tissue artifacts, which barely quantify small joint motions such as axial rotation or add-abduction (<xref ref-type="bibr" rid="B28">28</xref>). In this study, we used the DFIS tracking technique to quantify <italic>in vivo</italic> hip kinematics with a precision of 0.35&#x2005;mm and 0.55&#x00B0; (<xref ref-type="bibr" rid="B28">28</xref>). We also measured CT-based hip structures. The measurement accuracy was greatly improved in this study, and the findings could be helpful supplements for future studies.</p>
<p>The preoperative hip state probably affected postoperative gait patterns. Foucher et al. found that preoperative gait, HHS, and passive ROM could predict up to 33&#x0025; variability in postoperative gait (<xref ref-type="bibr" rid="B38">38</xref>). A greater preoperative abductor strength is associated with greater postoperative adduction and external rotation moments (<xref ref-type="bibr" rid="B38">38</xref>). Preoperative gait and HHS could also predict THA clinical response with a sensitivity of 71.4&#x0025; and a specificity of 99.1&#x0025; (<xref ref-type="bibr" rid="B39">39</xref>). In our study, preoperative joint alignment was associated with rotational hip symmetry during gait. In this study, we focused on the hip anatomical structures that would be reconstructed in THA and their predictive ability for postoperative gait symmetry. Since preoperative gait or Harris Scores in Foucher&#x0027;s studies were reflections of the overall hip function, our study supplemented the results in terms of surgery and was not contradictory to theirs. Although more significant correlations were detected in the postoperative hip structures in our study, the connection between preoperative hip state and postoperative gait patterns was reasonable. Admittedly, postoperative gait kinematics and symmetry in patients with DDH after THA are complex. Further studies are required to confirm this hypothesis.</p>
<p>The postoperative hip center or cup position is among the most influential factors in hip kinematics and function. Karaismailoglu et al. found that unilaterally elevated hip centers induced a lower extension range of the affected side in patients with DDH, and this phenomenon disappeared with bilateral hip centers of the same height (<xref ref-type="bibr" rid="B20">20</xref>, <xref ref-type="bibr" rid="B21">21</xref>). Berninger et al. further found that DDH patients with more proximal cups (&#x003E; 75&#x2005;mm from the inter-teardrop line) demonstrated significantly poorer scores in lower extremity function and daily activity than those with more distal cups (<xref ref-type="bibr" rid="B40">40</xref>). From a biomechanical perspective, laterally or proximally placed hip centers would increase hip loads and the risk of loosening and should be avoided (<xref ref-type="bibr" rid="B41">41</xref>&#x2013;<xref ref-type="bibr" rid="B43">43</xref>). As for gait symmetry, Nie et al. found that cup superior displacement within 12&#x2005;mm contributes to 3-plane symmetry gait patterns in DDH patients after unilateral THA (<xref ref-type="bibr" rid="B44">44</xref>). However, contradictory findings were reported by Leijendekkers et al. that even if the anatomical centers of rotation were reconstructed, modest asymmetries in lower limb kinematics and kinetics were still present in patients with unilateral DDH patients during gait (<xref ref-type="bibr" rid="B45">45</xref>). In our study, significant Pearson&#x0027;s correlations were detected between HRC positions and gait adduction-abduction (<xref ref-type="fig" rid="F2">Figure&#x00A0;2A</xref>) and rotational symmetry (<xref ref-type="fig" rid="F2">Figure&#x00A0;2B</xref>). This indicates that postoperative rotation center positions were significant contributors to gait symmetry, particularly in the frontal and transverse planes, and should be treated with caution during THA.</p>
<p>Elevated hip centers have been reported to lead to a less extended ROM of the affected side in patients during gait (<xref ref-type="bibr" rid="B20">20</xref>). A similar negative regression relationship between center height and extension range was also observed by Hu et al. (<xref ref-type="bibr" rid="B46">46</xref>). While in our study, different results were found that a distally placed HRC was associated with increased SI values for adduction-abduction in the frontal plane. No influence of hip center height on extension or flexion was found. Such discrepancy could be possibly explained by the fact that the aforementioned studies tested flexion and extension separately. While in our study, we calculated the ROM in the sagittal plane, namely flexion and extension, as a whole. Since the extension degrees were far less than the flexion degrees, the connection between the center position and the extension degrees might be overlapped. Delp et al. used computer simulation and found that superior displacement of the cup by 2&#x2005;cm adversely affected the abductor muscles by decreasing their moment arms (<xref ref-type="bibr" rid="B47">47</xref>). Thus, it became reasonable that patients with elevated hip centers might suffer from decreased abductor function, which probably led to abduction restriction, and less adduction-abduction symmetry in the frontal plane. This could possibly explain our results. However, further studies are required to confirm this hypothesis.</p>
<p>In this study, Pearson&#x0027;s correlation and multiple regression analyses identified the hip center position in the M/l direction as the significant predictor of gait rotational symmetry on the transverse plane. With medially placed hip centers, the ROM of axial rotation would probably decrease on the affected side and increase on the unaffected side. A recent study also reported a regression model of hip center M/l displacements and axial rotation degrees, in which medially placed hip centers decreased the internal rotation range of the affected hip (<xref ref-type="bibr" rid="B46">46</xref>). Besides, with medialized hip centers, the external rotation of the affected side increased (<xref ref-type="bibr" rid="B46">46</xref>). However, the total axial rotation degrees were not calculated, and the authors focused on the motion of only one side, and did not report the other side (<xref ref-type="bibr" rid="B46">46</xref>). Compensatory motion adjustments might happen under changed HRC positions. Thus, when considering gait symmetry, bilateral hip movements were both important. The specific link between hip center position and axial rotation requires further study. Moreover, based on the regression model used in this study, normal axial rotation SI values were achieved when the hip centers were between 17&#x2005;mm medially and 16&#x2005;mm laterally, suggesting symmetrical axial rotation patterns. Foucher et al. compared responders and non-responders to THA surgery and found a significantly lower peak external rotation moment in non-responders by gait analysis (<xref ref-type="bibr" rid="B39">39</xref>). This suggests a subtle role of transverse plane symmetry in promoting a better THA response. Our reconstruction suggestion for hip centers between 17&#x2005;mm medially and 16&#x2005;mm laterally could be a beneficial supplement for better transverse plane biomechanical balance when treating patients with DDH and adjusted centers. An inappropriate hip rotation gait could also be attributed to muscle impairments, including dysfunction of the hip abductor lever arm, tightness of the hip adductors, flexors, hamstrings, or gluteus medius, an imbalance between hip rotators, and overactivity of the calf muscles (<xref ref-type="bibr" rid="B48">48</xref>). However, further kinetic studies are required to confirm this hypothesis.</p>
<p>Anatomical hip reconstruction and concomitant leg-length equalization are not always easy in patients with severe unilateral DDH. When the cup is implanted superiorly to ensure better host bone coverage, surgeons may adjust the stem depth to achieve an equal leg length. In contrast, when the cup is placed in the anatomical acetabulum, deeper stem fixation or even femoral osteotomy may be required to smoothly reduce the hip. Whether cup position or leg length has greater influence on hip biomechanics remains controversial. However, no factors involving femoral length were identified in any correlation or regression analyses of this study; rather, only the vertical HRC positions correlated with hip adduction-abduction symmetry (<xref ref-type="fig" rid="F2">Figure&#x00A0;2A</xref>). This finding is reasonable and can be explained as follows. It was reported that a 10 to 20&#x2005;mm leg length discrepancy was the threshold for affecting postoperative gait symmetry and future clinical outcomes (<xref ref-type="bibr" rid="B49">49</xref>&#x2013;<xref ref-type="bibr" rid="B51">51</xref>). Lai et al. reported better gait symmetry and efficiency in patients with unilateral Crowe type IV DDH when the leg length discrepancy was within 2&#x2005;cm (<xref ref-type="bibr" rid="B49">49</xref>). Within this range, compensation from the knee and non-operated side was common, which might reduce the potential gait asymmetry to below the level of significance (<xref ref-type="bibr" rid="B22">22</xref>). In our study, the maximum length discrepancy was only 10.4&#x2005;mm, an effect that was likely minor. As a result, no correlation was detected between leg length and gait symmetry. Vertical hip center positions, in turn, became the influential factor for gait symmetry. Interestingly, it was proven from the other side that within the same change of less than 10&#x2005;mm, the vertical hip center positions had greater power in gait symmetry. This indicates the importance of ensuring appropriate and precise hip center positions during surgery.</p>
<p>The results of this study should be interpreted in light of several limitations. First, the sample size was relatively small, and the results might not be robust. However, considering that unilateral DDH cases are relatively rare and reasonable results were obtained, we still chose to present our findings. This was a pilot study whose results require confirmation in future studies with larger sample sizes. The complexity of the DFIS technique might be another reason for the small sample size in related studies. Second, numerous factors might influence postoperative gait symmetry, including bone, prosthesis, and soft-tissue features. We included a wide range of potential factors including demographics, pre- and postoperative anatomical structures, and surgical changes. The results of the current study were statistically significant. Third, the current study examined only the kinematic variables of the hip joint. In future work, we will attach important kinetic parameters, such as muscle moments and hip-adjacent joint measurements of the pelvis and knee, to comprehensively explore the gait patterns of patients with DDH after THA. Nevertheless, this study showed the critical influence of the postoperative hip center position on gait symmetry and provided potential reconstruction suggestions that could probably inform surgical guidelines.</p>
</sec>
<sec id="s5" sec-type="conclusions"><title>Conclusion</title>
<p>The current study first quantified gait symmetry in patients with DDH following unilateral THA during level walking using the DFIS and then explored its potential relationship with demographic information, pre-and postoperative joint structures, and changes in surgery. Our study showed that only 43&#x0025; of these patients had a symmetrical gait. Postoperative joint structures, especially the hip center positions, significantly contributed to gait symmetry in the frontal and transverse planes. With the hip centers between 17&#x2005;mm medially and 16&#x2005;mm laterally, the range of axial rotation was bilaterally symmetrical, which could be a surgical suggestion for surgeons during hip joint reconstruction in THA for patients with DDH.</p>
</sec>
</body>
<back>
<sec id="s6" sec-type="data-availability"><title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s7" sec-type="ethics-statement"><title>Ethics statement</title>
<p>The studies involving human participants were reviewed and approved by the ethics committee of Ninth People&#x0027;s Hospital of Shanghai Jiao Tong University School of Medicine. The patients/participants provided their written informed consent to participate in this study.</p>
</sec>
<sec id="s8" sec-type="author-contributions"><title>Author contributions</title>
<p>All authors contributed to the study conception and design. Data extraction and assessment were performed by JZ, YH, DZ Research coordination was done by JZ, TT, HL The first draft of the manuscript was written by YH, DZ, JZ All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s9" sec-type="funding-information"><title>Funding</title>
<p>This study was sponsored by the National Nature Science Foundation of China (grant no. 31900941) and the Interdisciplinary Program of Shanghai Jiao Tong University (project no. ZH2018QNA06).</p>
</sec>
<sec id="s10" sec-type="COI-statement"><title>Conflict of interest</title>
<p>Author TY-T was employed by TaoImage Medical Technologies Corporation.</p>
<p>The remaining 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 id="s11" sec-type="disclaimer"><title>Publisher&#x0027;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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