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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Bioeng. Biotechnol.</journal-id>
<journal-title>Frontiers in Bioengineering and Biotechnology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Bioeng. Biotechnol.</abbrev-journal-title>
<issn pub-type="epub">2296-4185</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1392448</article-id>
<article-id pub-id-type="doi">10.3389/fbioe.2024.1392448</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Bioengineering and Biotechnology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Quantifying the effects of five rehabilitation training methods on the ability of elderly men to control bowel movements: a finite element analysis study</article-title>
<alt-title alt-title-type="left-running-head">Wang et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fbioe.2024.1392448">10.3389/fbioe.2024.1392448</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Rui</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2511016/overview"/>
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<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/software/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Guangtian</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2730885/overview"/>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Jing</surname>
<given-names>Liwei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Jing</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2423940/overview"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Ye</surname>
<given-names>Yan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Zhu</surname>
<given-names>Haoran</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
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<aff id="aff1">
<sup>1</sup>
<institution>School of Nursing, Capital Medical University</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>College of Nursing and Rehabilitation, North China University of Science and Technology</institution>, <addr-line>Hebei</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2323933/overview">Wujing Cao</ext-link>, Chinese Academy of Sciences (CAS), China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1069847/overview">Marco Parente</ext-link>, University of Porto, Portugal</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2677735/overview">Yadong Mo</ext-link>, Beijing University of Posts and Telecommunications (BUPT), China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2549382/overview">Zw Z.</ext-link>, University of Shanghai for Science and Technology, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Liwei Jing, <email>lwjing2004@ccmu.edu.cn</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>26</day>
<month>06</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1392448</elocation-id>
<history>
<date date-type="received">
<day>27</day>
<month>02</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>04</day>
<month>06</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Wang, Liu, Jing, Zhang, Ye and Zhu.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Wang, Liu, Jing, Zhang, Ye and Zhu</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>Purpose</title>
<p>The study aims to develop a finite element model of the pelvic floor and thighs of elderly men to quantitatively assess the impact of different pelvic floor muscle trainings and the urinary and defecation control ability.</p>
</sec>
<sec>
<title>Methods</title>
<p>A finite element model of the pelvic floor and thighs of elderly men was constructed based on MRI and CT. Material properties of pelvic floor tissues were assigned through literature review, and the relative changes in waistline, retrovesical angle (RVA) and anorectad angulation (ARA) to quantitatively verify the effectiveness of the model. By changing the material properties of muscles, the study analyzed the muscle strengthening or impairment effects of the five types of rehabilitation training for four types of urination and defecation dysfunction. The changes in four outcome indicators, including the retrovesical angle, anorectad angulation, stress, and strain, were compared.</p>
</sec>
<sec>
<title>Results</title>
<p>This study indicates that ARA and RVA approached their normal ranges as material properties changed, indicating an enhancement in the urinary and defecation control ability, particularly through targeted exercises for the levator ani muscle, external anal sphincter, and pelvic floor muscles. This study also emphasizes the effectiveness of personalized rehabilitation programs including biofeedback, exercise training, electrical stimulation, magnetic stimulation, and vibration training and advocates for providing optimized rehabilitation training methods for elderly patients.</p>
</sec>
<sec>
<title>Discussion</title>
<p>Based on the results of computational biomechanics, this study provides foundational scientific insights and practical recommendations for rehabilitation training of the elderly&#x2019;s urinary and defecation control ability, thereby improving their quality of life. In addition, this study also provides new perspectives and potential applications of finite element analysis in elderly men, particularly in evaluating and designing targeted rehabilitation training.</p>
</sec>
</abstract>
<kwd-group>
<kwd>elderly men</kwd>
<kwd>rehabilitation training</kwd>
<kwd>muscles</kwd>
<kwd>quantification</kwd>
<kwd>urinary and defecation control ability</kwd>
<kwd>finite element analysis</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Biomechanics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>In contemporary society, the aging of the population continues to intensify, and the health problems of the elderly have received increasing attention. The decline in muscle strength and diminished neurological control often experienced with age and frailty lead to conditions such as urinary incontinence, urinary retention, fecal incontinence and constipation (<xref ref-type="bibr" rid="B52">Talasz et al., 2018</xref>; <xref ref-type="bibr" rid="B34">Ma and Chen, 2020</xref>; <xref ref-type="bibr" rid="B26">Levaillant et al., 2023</xref>; <xref ref-type="bibr" rid="B45">Salari et al., 2023</xref>), significantly affecting life quality. The resultant emotional distress and increased dependency on caregivers (<xref ref-type="bibr" rid="B3">Bektas et al., 2023</xref>), which plays a vital role in determining the care dependence of the elderly and has an impact on social and economic development. It is becoming more and more prominent that how to effectively improve the urinary and defecation control ability of the elderly in the field of rehabilitation medicine.</p>
<p>For the elderly retaining partial urinary and defecation control ability, the five rehabilitation training methods of exercise training, magnetic stimulation, electrical stimulation, vibration stimulation and biofeedback, which are validated for enhancing the muscles strength in the pelvic floor, abdomen, back, and hips, thereby improving control bowel movements (<xref ref-type="bibr" rid="B37">Mazur-Bialy et al., 2020</xref>; <xref ref-type="bibr" rid="B1">Alouini et al., 2022</xref>). However, different rehabilitation training methods may have different effects on the urinary and defecation control ability, it is necessary to delineate the quantitative relationship between different rehabilitation training methods and urinary and defecation control ability and to understand the underlying mechanism to provide guidance for clinical rehabilitation practices. Finite element analysis (FEA), a critical computational tool, is considered a technique for simulating the mechanical properties of an object by dividing it into discrete elements and creating a numerical calculation model to represent its behavior (<xref ref-type="bibr" rid="B9">Chen et al., 2010</xref>). In recent years, it is widely used in the urethral support function (<xref ref-type="bibr" rid="B41">Peng et al., 2016</xref>), the occurrence of levator ani muscle injury and pelvic floor disease during vaginal delivery (<xref ref-type="bibr" rid="B68">Zhou et al., 2020</xref>), and the mechanical mechanism of posterior vaginal prolapse (<xref ref-type="bibr" rid="B42">Qiu, 2017</xref>). By establishing finite element models, it can simulate the biomechanical behavior of human tissues and organs and analyze the biomechanics of complex systems quantitatively. It is a method that provides a new idea for the evaluation of the effects of rehabilitation training (<xref ref-type="bibr" rid="B63">Yang et al., 2024</xref>). This approach underpins the development of models to simulate elderly men&#x2019;s pelvic floor structures, enhancing our understanding of urinary and defecation control ability mechanisms (<xref ref-type="bibr" rid="B65">Zhang and Yao, 2015</xref>).</p>
<p>This study aims to develop a finite element model to simulate five distinct rehabilitation training methods. By changing the values of material properties proportionally, the strengthening and impairment of muscle capacity are simulated. Meanwhile, the defecation ability of the elderly is reflected through the retrovesical angle (RVA) and anorectad angulation (ARA). By comparing the changes in defecation outcome indicators under various parameter settings, the mechanism and relationship between the rehabilitation training methods and urinary and defecation control ability is quantified. This provides precise and effective guidance for the rehabilitation training of the elderly, thereby improving their quality of life.</p>
</sec>
<sec sec-type="methods" id="s2">
<title>2 Methods</title>
<sec id="s2-1">
<title>2.1 Participant</title>
<p>The implementation of this study complied with relevant ethical requirements (ethical approval number: Linyanshen [2023] No.079 and Z2024SY007). Our study has been registered in the Chinese Clinical Trial Registry Center (ChiCTR2400080749) and our research protocol has been published online (<xref ref-type="bibr" rid="B57">Wang et al., 2024</xref>). The pelvic floor medical imaging data collection participant is a 61-year-old Chinese old adult with a body mass index (BMI) of 25.4&#xa0;kg/m<sup>2</sup>, good physical health, normal daily living ability, normal cognitive ability, normal communication ability, and normal pelvic floor medical imaging data. The participant&#x2019;s bowel function was normal, and there was no history of defecation dysfunction or surgery. Participant signed informed consent forms before scanning medical images. During the scan, participant was placed in a supine position with his hands on top of head and legs together and straightened. Scanning started from the highest point of the participant&#x2019;s iliac crest, CT scan to the knee joint, and MRI scan to 1&#xa0;cm of the perineum. Radiologists used a 64-slice spiral scanning dual-source CT machine produced by Siemens of Germany and a 3.0T magnetic resonance scanner produced by Philips of the Netherlands to scan, obtain pelvic floor scan data and store it in DICOM format. Among them, CT was scanned with a slice thickness of 0.5&#xa0;mm and a resolution of 512 &#xd7; 512, with a total of 598 images, as shown in <xref ref-type="fig" rid="F1">Figure 1</xref>. Static MRI was scanned with 3D-PelvicVIEW-T2, TR 1250&#xa0;ms, TE 151&#xa0;ms, field of view 400&#xa0;cm, continuous 1.0&#xa0;mm slices Thickness-free volumetric scanning, a total of 400 images, as shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. After the static MRI scan, the participant was asked to perform resting maneuvers, Kegel maneuvers, relaxation maneuvers, and Valsalva maneuvers in order, and at the same time, dynamic MRI scans were performed. Dynamic MRI used the BTFE_Sag_Dyn sequence along the sagittal plane, with a slice thickness of 8&#xa0;mm and a frame rate of 9&#x2013;10 frames/s, with a total of 150 images, as shown in <xref ref-type="fig" rid="F3">Figure 3</xref>. For inclusion and exclusion criteria for the participant and the specific data collection methods, please refer to our previous research protocol (<xref ref-type="bibr" rid="B57">Wang et al., 2024</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>CT image.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Static MRI image.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Dynamic MRI image.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g003.tif"/>
</fig>
<p>A composite finite element model of the participant&#x2019;s pelvic floor, abdomen, back and hip was established through medical imaging data, in which the bone geometry model was through CT images and the soft tissue geometry model was through MRI images. First, the segmentation was performed under the guidance of experienced pelvic floor radiologists. We used the medical modeling software Mimics to reconstruct a relatively rough model, and then used the smoothing function in the Mimics software to beautify it, reduce the angle of points or edges, make the edges smoother, smooth the 3D image, and then the accurate model is imported into Ansys software for numerical simulation calculations.</p>
</sec>
<sec id="s2-2">
<title>2.2 Material properties</title>
<p>Since this study focuses on the mechanical analysis results of muscles related to urination and defecation, the material properties of the bladder, urethra, rectum, external anal sphincter, external urethral sphincter, and levator ani muscle were analyzed using Yeoh and Mooney-Rivlin hyperelastic structures. For simulation, Hooke linear elastic structures were used for other organs, muscles and fat of the pelvic floor, and viscoelastic structures of the standard linear solid model and hooke were used for the abdominal, back and hip muscles. The pelvis was modeled as a rigid body and fixed structure, considering that its stiffness is much higher than that of soft tissue and therefore its deformation is negligible under normal pelvic function. The finite element type is mainly tetrahedron, supplemented by hexahedron. When setting the material properties in the model, we retrieved existing material data in previous studies (<xref ref-type="bibr" rid="B25">Lee et al., 2005</xref>; <xref ref-type="bibr" rid="B6">Boubaker et al., 2009</xref>; <xref ref-type="bibr" rid="B66">Zhang et al., 2009</xref>; <xref ref-type="bibr" rid="B43">Rao et al., 2010</xref>; <xref ref-type="bibr" rid="B56">Venugopala Rao et al., 2010</xref>; <xref ref-type="bibr" rid="B58">Wein, 2011</xref>; <xref ref-type="bibr" rid="B24">Larson et al., 2012</xref>; <xref ref-type="bibr" rid="B12">Chen, 2014</xref>; <xref ref-type="bibr" rid="B47">Sichting et al., 2014</xref>; <xref ref-type="bibr" rid="B7">Brand&#xe3;o et al., 2015</xref>; <xref ref-type="bibr" rid="B10">Chen et al., 2015</xref>; <xref ref-type="bibr" rid="B23">Krcmar et al., 2015</xref>; <xref ref-type="bibr" rid="B46">Samavati et al., 2015</xref>; <xref ref-type="bibr" rid="B51">Sun, 2015</xref>; <xref ref-type="bibr" rid="B19">He, 2016</xref>; <xref ref-type="bibr" rid="B35">Ma et al., 2016</xref>; <xref ref-type="bibr" rid="B41">Peng et al., 2016</xref>; <xref ref-type="bibr" rid="B48">Silva et al., 2016</xref>; <xref ref-type="bibr" rid="B14">Dias et al., 2017</xref>; <xref ref-type="bibr" rid="B29">Li et al., 2017</xref>; <xref ref-type="bibr" rid="B33">Liu, 2017</xref>; <xref ref-type="bibr" rid="B44">Ricci et al., 2018</xref>; <xref ref-type="bibr" rid="B18">Guo et al., 2019</xref>; <xref ref-type="bibr" rid="B28">Li et al., 2019</xref>; <xref ref-type="bibr" rid="B36">Ma, 2019</xref>; <xref ref-type="bibr" rid="B59">Wu, 2019</xref>; <xref ref-type="bibr" rid="B68">Zhou et al., 2020</xref>; <xref ref-type="bibr" rid="B60">Xu et al., 2021</xref>; <xref ref-type="bibr" rid="B61">Xuan et al., 2021</xref>; <xref ref-type="bibr" rid="B31">Li, 2022</xref>; <xref ref-type="bibr" rid="B64">Yao et al., 2022</xref>; <xref ref-type="bibr" rid="B69">Zong, 2022</xref>), summarized the mechanical parameters recognized in the literature, and obtained the material properties of the research object in this study. Because the literature shows that there are differences in the mechanical performance characteristics of old and young pelvic soft tissues, and the material properties may change (<xref ref-type="bibr" rid="B8">Chantereau et al., 2014</xref>), we made appropriate adjustments on the of material properties, and we verified whether the data conditioning is appropriate by completing the verification steps of the finite element model, the specific parameters are shown in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Material properties of various parts in the model.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">No.</th>
<th rowspan="2" align="center">Anatomical element</th>
<th colspan="2" align="center">Material constants</th>
<th rowspan="2" align="center">Structures</th>
<th rowspan="2" align="center">Constitutive models</th>
</tr>
<tr>
<th align="center">In the literature</th>
<th align="center">After adjustment</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">1</td>
<td align="left">bladder</td>
<td rowspan="2" align="left">C<sub>10</sub> &#x3d; 0.071<break/>C<sub>20</sub> &#x3d; 0.202<break/>C<sub>30</sub> &#x3d; 0.048 (<xref ref-type="bibr" rid="B10">Chen et al., 2015</xref>; <xref ref-type="bibr" rid="B31">Li, 2022</xref>)</td>
<td align="left">C<sub>10</sub> &#x3d; 0.061<break/>C<sub>20</sub> &#x3d; 0.202<break/>C<sub>30</sub> &#x3d; 0.048</td>
<td rowspan="3" align="left">hyperelastic structures (<xref ref-type="bibr" rid="B56">Venugopala Rao et al., 2010</xref>; <xref ref-type="bibr" rid="B10">Chen et al., 2015</xref>)</td>
<td rowspan="3" align="left">Yeoh (<xref ref-type="bibr" rid="B10">Chen et al., 2015</xref>; <xref ref-type="bibr" rid="B31">Li, 2022</xref>)</td>
</tr>
<tr>
<td align="left">2</td>
<td align="left">urethra</td>
<td align="left">C<sub>10</sub> &#x3d; 0.071<break/>C<sub>20</sub> &#x3d; 0.282<break/>C<sub>30</sub> &#x3d; 0.048</td>
</tr>
<tr>
<td align="left">3</td>
<td align="left">rectum</td>
<td align="left">C<sub>10</sub> &#x3d; 0.088<break/>C<sub>20</sub> &#x3d; 3.092<break/>C<sub>30</sub> &#x3d; 2.871 (<xref ref-type="bibr" rid="B31">Li, 2022</xref>)</td>
<td align="left">C<sub>10</sub> &#x3d; 0.082<break/>C<sub>20</sub> &#x3d; 3.092<break/>C<sub>30</sub> &#x3d; 2.871</td>
</tr>
<tr>
<td align="left">4</td>
<td align="left">prostate</td>
<td align="left">young&#x2019;s module 6&#xa0;MPa (<xref ref-type="bibr" rid="B6">Boubaker et al., 2009</xref>; <xref ref-type="bibr" rid="B46">Samavati et al., 2015</xref>)<break/>Poisson&#x2019;s ratio 0.495 (<xref ref-type="bibr" rid="B6">Boubaker et al., 2009</xref>; <xref ref-type="bibr" rid="B46">Samavati et al., 2015</xref>)</td>
<td align="left">young&#x2019;s module 5.8&#xa0;MPa<break/>Poisson&#x2019;s ratio 0.495</td>
<td align="left">linear elastic structures (<xref ref-type="bibr" rid="B14">Dias et al., 2017</xref>)</td>
<td align="left">Hooke (<xref ref-type="bibr" rid="B14">Dias et al., 2017</xref>)</td>
</tr>
<tr>
<td align="left">5</td>
<td align="left">hipbone</td>
<td align="left">young&#x2019;s module 15244&#xa0;MPa (<xref ref-type="bibr" rid="B47">Sichting et al., 2014</xref>)<break/>Poisson&#x2019;s ratio 0.3 (<xref ref-type="bibr" rid="B47">Sichting et al., 2014</xref>; <xref ref-type="bibr" rid="B19">He, 2016</xref>; <xref ref-type="bibr" rid="B41">Peng et al., 2016</xref>; <xref ref-type="bibr" rid="B44">Ricci et al., 2018</xref>; <xref ref-type="bibr" rid="B18">Guo et al., 2019</xref>; <xref ref-type="bibr" rid="B69">Zong, 2022</xref>)</td>
<td align="left">No change</td>
<td rowspan="4" colspan="2" align="left">rigid body (<xref ref-type="bibr" rid="B7">Brand&#xe3;o et al., 2015</xref>; <xref ref-type="bibr" rid="B60">Xu et al., 2021</xref>)</td>
</tr>
<tr>
<td align="left">6</td>
<td align="left">sacrum</td>
<td align="left">young&#x2019;s module 16262&#xa0;MPa (<xref ref-type="bibr" rid="B47">Sichting et al., 2014</xref>)<break/>Poisson&#x2019;s ratio 0.3 (<xref ref-type="bibr" rid="B47">Sichting et al., 2014</xref>; <xref ref-type="bibr" rid="B19">He, 2016</xref>; <xref ref-type="bibr" rid="B41">Peng et al., 2016</xref>; <xref ref-type="bibr" rid="B44">Ricci et al., 2018</xref>; <xref ref-type="bibr" rid="B18">Guo et al., 2019</xref>; <xref ref-type="bibr" rid="B69">Zong, 2022</xref>)</td>
<td align="left">No change</td>
</tr>
<tr>
<td align="left">7</td>
<td align="left">coccyx</td>
<td align="left">young&#x2019;s module 11000&#xa0;MPa (<xref ref-type="bibr" rid="B47">Sichting et al., 2014</xref>)<break/>Poisson&#x2019;s ratio 0.3 (<xref ref-type="bibr" rid="B47">Sichting et al., 2014</xref>; <xref ref-type="bibr" rid="B19">He, 2016</xref>; <xref ref-type="bibr" rid="B41">Peng et al., 2016</xref>; <xref ref-type="bibr" rid="B44">Ricci et al., 2018</xref>; <xref ref-type="bibr" rid="B18">Guo et al., 2019</xref>; <xref ref-type="bibr" rid="B69">Zong, 2022</xref>)</td>
<td align="left">No change</td>
</tr>
<tr>
<td align="left">8</td>
<td align="left">femur</td>
<td align="left">young&#x2019;s module 13500&#xa0;MPa (<xref ref-type="bibr" rid="B18">Guo et al., 2019</xref>)<break/>Poisson&#x2019;s ratio 0.3 (<xref ref-type="bibr" rid="B47">Sichting et al., 2014</xref>; <xref ref-type="bibr" rid="B19">He, 2016</xref>; <xref ref-type="bibr" rid="B41">Peng et al., 2016</xref>; <xref ref-type="bibr" rid="B44">Ricci et al., 2018</xref>; <xref ref-type="bibr" rid="B18">Guo et al., 2019</xref>; <xref ref-type="bibr" rid="B69">Zong, 2022</xref>)</td>
<td align="left">No change</td>
</tr>
<tr>
<td align="left">9</td>
<td align="left">fat</td>
<td align="left">young&#x2019;s module 0.05&#xa0;MPa (<xref ref-type="bibr" rid="B14">Dias et al., 2017</xref>)<break/>Poisson&#x2019;s ratio 0.49 (<xref ref-type="bibr" rid="B43">Rao et al., 2010</xref>; <xref ref-type="bibr" rid="B14">Dias et al., 2017</xref>; <xref ref-type="bibr" rid="B36">Ma, 2019</xref>)</td>
<td align="left">No change</td>
<td rowspan="4" align="left">linear elastic structures (<xref ref-type="bibr" rid="B9">Chen et al., 2010</xref>; <xref ref-type="bibr" rid="B43">Rao et al., 2010</xref>; <xref ref-type="bibr" rid="B14">Dias et al., 2017</xref>)</td>
<td rowspan="4" align="left">Hooke (<xref ref-type="bibr" rid="B9">Chen et al., 2010</xref>; <xref ref-type="bibr" rid="B43">Rao et al., 2010</xref>; <xref ref-type="bibr" rid="B14">Dias et al., 2017</xref>)</td>
</tr>
<tr>
<td align="left">10</td>
<td align="left">bulbospongiosus muscle</td>
<td rowspan="3" align="left">young&#x2019;s module 2.4&#xa0;MPa (<xref ref-type="bibr" rid="B66">Zhang et al., 2009</xref>; <xref ref-type="bibr" rid="B9">Chen et al., 2010</xref>; <xref ref-type="bibr" rid="B43">Rao et al., 2010</xref>; <xref ref-type="bibr" rid="B14">Dias et al., 2017</xref>)<break/>Poisson&#x2019;s ratio 0.49 (<xref ref-type="bibr" rid="B43">Rao et al., 2010</xref>; <xref ref-type="bibr" rid="B14">Dias et al., 2017</xref>; <xref ref-type="bibr" rid="B36">Ma, 2019</xref>)</td>
<td rowspan="3" align="left">young&#x2019;s module 3.4&#xa0;MPa<break/>Poisson&#x2019;s ratio 0.49</td>
</tr>
<tr>
<td align="left">11</td>
<td align="left">ischiocavernous muscle</td>
</tr>
<tr>
<td align="left">12</td>
<td align="left">superficial transverse perineal muscle, deep transverse perineal muscle</td>
</tr>
<tr>
<td align="left">13</td>
<td align="left">external anal sphincter</td>
<td rowspan="2" align="left">C<sub>10</sub> &#x3d; 11.8&#xa0;kPa<break/>C<sub>20</sub> &#x3d; 5.53e-3&#xa0;kPa (<xref ref-type="bibr" rid="B48">Silva et al., 2016</xref>)</td>
<td rowspan="2" align="left">C<sub>10</sub> &#x3d; 12.8&#xa0;kPa<break/>C<sub>20</sub> &#x3d; 5.53e-3&#xa0;kPa</td>
<td rowspan="2" align="left">hyperelastic structures (<xref ref-type="bibr" rid="B48">Silva et al., 2016</xref>; <xref ref-type="bibr" rid="B61">Xuan et al., 2021</xref>)</td>
<td rowspan="2" align="left">Mooney-Rivlin (<xref ref-type="bibr" rid="B48">Silva et al., 2016</xref>)</td>
</tr>
<tr>
<td align="left">14</td>
<td align="left">external urethral sphincter</td>
</tr>
<tr>
<td align="left">15</td>
<td align="left">coccygeal muscle</td>
<td align="left">young&#x2019;s module 2.4&#xa0;MPa (<xref ref-type="bibr" rid="B66">Zhang et al., 2009</xref>; <xref ref-type="bibr" rid="B14">Dias et al., 2017</xref>)<break/>Poisson&#x2019;s ratio 0.49 (<xref ref-type="bibr" rid="B14">Dias et al., 2017</xref>; <xref ref-type="bibr" rid="B60">Xu et al., 2021</xref>)</td>
<td align="left">No change</td>
<td align="left">linear elastic structures (<xref ref-type="bibr" rid="B14">Dias et al., 2017</xref>)</td>
<td align="left">Hooke (<xref ref-type="bibr" rid="B14">Dias et al., 2017</xref>)</td>
</tr>
<tr>
<td align="left">16</td>
<td align="left">levator ani muscle, including pubococcygeus muscle, iliococcygeus muscle, puborectalis muscle</td>
<td align="left">C<sub>10</sub> &#x3d; 2.5&#xa0;KPa<break/>C<sub>20</sub> &#x3d; 0.625&#xa0;KPa (<xref ref-type="bibr" rid="B25">Lee et al., 2005</xref>; <xref ref-type="bibr" rid="B59">Wu, 2019</xref>)</td>
<td align="left">No change</td>
<td align="left">hyperelastic structures (<xref ref-type="bibr" rid="B23">Krcmar et al., 2015</xref>)</td>
<td align="left">Mooney-Rivlin (<xref ref-type="bibr" rid="B59">Wu, 2019</xref>)</td>
</tr>
<tr>
<td align="left">17</td>
<td align="left">obturator internus muscle</td>
<td align="left">young&#x2019;s module 0.95&#xa0;MPa (<xref ref-type="bibr" rid="B12">Chen, 2014</xref>; <xref ref-type="bibr" rid="B41">Peng et al., 2016</xref>; <xref ref-type="bibr" rid="B33">Liu, 2017</xref>)<break/>Poisson&#x2019;s ratio 0.45 (<xref ref-type="bibr" rid="B12">Chen, 2014</xref>)</td>
<td align="left">No change</td>
<td align="left">viscoelastic materials</td>
<td align="left">Hooke</td>
</tr>
<tr>
<td align="left">18</td>
<td align="left">rectus abdominis muscle</td>
<td align="left">young&#x2019;s module 13.3&#xa0;MPa (<xref ref-type="bibr" rid="B51">Sun, 2015</xref>)<break/>Poisson&#x2019;s ratio 0.45 (<xref ref-type="bibr" rid="B12">Chen, 2014</xref>)</td>
<td align="left">No change</td>
<td rowspan="13" align="left">viscoelastic materials (<xref ref-type="bibr" rid="B29">Li et al., 2017</xref>)</td>
<td rowspan="13" align="left">Hooke</td>
</tr>
<tr>
<td align="left">19</td>
<td align="left">iliac muscle</td>
<td align="left">young&#x2019;s module 19&#xa0;MPa (<xref ref-type="bibr" rid="B29">Li et al., 2017</xref>)<break/>Poisson&#x2019;s ratio 0.45 (<xref ref-type="bibr" rid="B12">Chen, 2014</xref>)</td>
<td align="left">No change</td>
</tr>
<tr>
<td align="left">20</td>
<td align="left">psoas major muscle</td>
<td rowspan="3" align="left">young&#x2019;s module 13.3&#xa0;MPa (<xref ref-type="bibr" rid="B51">Sun, 2015</xref>)<break/>Poisson&#x2019;s ratio 0.45 (<xref ref-type="bibr" rid="B12">Chen, 2014</xref>)</td>
<td rowspan="3" align="left">No change</td>
</tr>
<tr>
<td align="left">21</td>
<td align="left">quadriceps femoris muscle</td>
</tr>
<tr>
<td align="left">22</td>
<td align="left">tensor fascia lata muscle</td>
</tr>
<tr>
<td align="left">23</td>
<td align="left">gluteus maximus muscle</td>
<td rowspan="3" align="left">young&#x2019;s module 19&#xa0;MPa (<xref ref-type="bibr" rid="B29">Li et al., 2017</xref>)<break/>Poisson&#x2019;s ratio 0.45 (<xref ref-type="bibr" rid="B12">Chen, 2014</xref>)</td>
<td rowspan="3" align="left">No change</td>
</tr>
<tr>
<td align="left">24</td>
<td align="left">gluteus medius muscle</td>
</tr>
<tr>
<td align="left">25</td>
<td align="left">piriformis muscle</td>
</tr>
<tr>
<td align="left">26</td>
<td align="left">hamstring muscles</td>
<td rowspan="5" align="left">young&#x2019;s module 13.3&#xa0;MPa (<xref ref-type="bibr" rid="B51">Sun, 2015</xref>)<break/>Poisson&#x2019;s ratio 0.45 (<xref ref-type="bibr" rid="B12">Chen, 2014</xref>)</td>
<td rowspan="5" align="left">No change</td>
</tr>
<tr>
<td align="left">27</td>
<td align="left">pubic muscle</td>
</tr>
<tr>
<td align="left">28</td>
<td align="left">adductor longus muscle</td>
</tr>
<tr>
<td align="left">29</td>
<td align="left">latissimus dorsi muscle</td>
</tr>
<tr>
<td align="left">30</td>
<td align="left">erector spinae muscle</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-3">
<title>2.3 Constraint boundaries</title>
<p>The coordinates of the three-dimensional finite element model are set as follows: the x-axis is perpendicular to the sagittal plane of the human body, and the positive direction points to the left; the <italic>y</italic>-axis is perpendicular to the coronal plane of the human body, and the positive direction points backward; the <italic>z</italic>-axis is the longitudinal axis of the human body, and the positive direction points to the head. In the analysis of static structural mechanics, in order to simulate the in-body state of human defecation-related muscles as closely as possible, the bone is set as a rigid body and all nodes are fully constrained. We limited the translation and rotation of bones in the three axes of x, y and z. The tops of the rectus abdominis muscle, psoas major muscle, and erector spinae muscle are fixed. The contact condition between bones and muscles, bladder and prostate, prostate and colon were set to bind.</p>
</sec>
<sec id="s2-4">
<title>2.4 Model validity verification</title>
<p>In the finite element modeling process, it is very necessary to verify the validity of the finite element model. The methods of finite element model validation usually include geometric shape validation, literature result validation, and experimental result validation (<xref ref-type="bibr" rid="B40">Peng et al., 2023</xref>). <xref ref-type="bibr" rid="B41">Peng et al. (2016)</xref> conducted a validation study by comparing pelvic floor configurations achieved in computer simulation results with dynamic MRI observations along the midsagittal plane at both rest and maximal Valsalva maneuvers, and we highly recognize this geometric form validation method. Due to the lack of literature results and experimental results of elderly pelvic floor, It is very difficult to verify using methods such as literature results verification and experimental results verification. Therefore, We will compare the Valsalva maneuvers of the elderly during dynamic MRI scanning with the Valsalva maneuvers of the pelvic floor simulated by the finite element model, and compare whether the variety of the three anatomical landmark points of the two are consistent.</p>
<p>The specific process of dynamic MRI scanning is detailed in our previous research protocol (<xref ref-type="bibr" rid="B57">Wang et al., 2024</xref>) and we completed the Valsalva maneuvers through simulation of the finite element model. The Valsalva simulation plan&#x2019;s loading site is the anterior abdominal wall, and in the resting state, E &#x3d; 0.019 and the load is 0.5&#xa0;kPa. At moderate tension, E &#x3d; 0.241 and the load is 4.5&#xa0;kPa. Under severe tension, E &#x3d; 0.947 and the load is 5.0&#xa0;kPa (<xref ref-type="bibr" rid="B59">Wu, 2019</xref>), and the direction of application is from the top of the anterior abdominal wall to the direction of the coccyx (<xref ref-type="bibr" rid="B42">Qiu, 2017</xref>). During model verification, the three anatomical landmarks include relative changes in waistline, changes in retrovesical angle (RVA) and changes in anorectad angulation (ARA). Among them, the RVA is the angle formed by the median sagittal plane of the bladder floor and the long axis of the urethra, and the ARA is the angle between the longitudinal axis of the anal canal and the posterior wall of the rectum above the levator ani muscle. These two angles are often measured in imaging data of the pelvic floor. Due to the lack of relevant research and guidelines specifying the scope of differences, we consulted relevant biomechanical experts and combined them with clinical situations. If the differences are within 10%, it will be considered that the model construction is more accurate.</p>
</sec>
<sec id="s2-5">
<title>2.5 Applied loads and simulation plans analysis</title>
<p>After completing the construction and verification of the finite element model, we will conduct specific finite element analysis under different simulation plans. Muscle elastic modulus refers to the ratio of deformation to the force applied on muscles and is a critical parameter for assessing muscle stiffness. Research has shown that rehabilitation exercises such as muscle contraction training and resistance movements can indirectly affect this modulus, resulting in decreased passive stiffness and increased muscle softness and flexibility (<xref ref-type="bibr" rid="B13">de Sousa et al., 2023</xref>). Since finite element analysis does not directly simulate rehabilitation training, we adapted simulation to reflect muscle capacity changes after rehabilitation training. So, we simulated a 25%, 50%, 75%, 100% strengthening in muscle capacity, a normal muscle capacity, a 25%, 50%, 75%, 95% impairment in muscle capacity. These adjustments were achieved by varying the material properties&#x2019; correlation properties to 1.25x, 1.5x, 1.75x, 2x (for increases), 1x (for baseline), 0.75x, 0.5x, 0.25x, and 0.05x (for decreases), respectively.</p>
<p>Currently, there are five known rehabilitation training methods for improving bowel function including exercise training, biofeedback, electrical stimulation, magnetic stimulation, and vibrational stimulation. <xref ref-type="table" rid="T2">Table 2</xref> lists the muscles based on the literature content corresponding to the five types of rehabilitation training for the four types of urination and defecation dysfunction. We found that the five rehabilitation training methods mainly enhance the elderly&#x2019;s urination and defecation abilities through muscle training, such as external anal sphincter, urethral sphincter, levator ani muscle, pelvic floor muscles, rectus abdominis muscle, hip muscles and erector spinae muscle. When performing finite element analysis, delete tissues and muscles that are weakly related to urination and defecation from the established finite element model, such as obturator internus muscle, skin, fat, pyramidal muscle, tensor fascia lata muscle, pubic muscle and latissimus dorsi muscle.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Simulation plans table.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">No.</th>
<th align="center">Simulated rehabilitation trainings</th>
<th align="center">Loading site</th>
<th align="center">Abdominal pressure (kPa)</th>
<th align="center">Outcome indicators</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">1</td>
<td align="left">anal sphincter training for fecal incontinence</td>
<td align="left">external anal sphincter</td>
<td align="left">0.6</td>
<td align="left">ARA, stress, strain</td>
</tr>
<tr>
<td align="left">2</td>
<td align="left">transcutaneous electrical nerve stimulation for urinary retention</td>
<td align="left">urethral sphincter</td>
<td align="left">0.6</td>
<td align="left">RVA, stress, strain</td>
</tr>
<tr>
<td align="left">3</td>
<td align="left">a. biofeedback for urinary incontinence<break/>b. biofeedback for urinary retention<break/>c. Exercise training for fecal incontinence-levator ani activities<break/>d. Exercise training for constipation-levator ani exercise</td>
<td align="left">levator ani muscle</td>
<td align="left">0.6</td>
<td align="left">RVA, ARA, stress, strain</td>
</tr>
<tr>
<td align="left">4</td>
<td align="left">a. Exercise training for urinary incontinence<break/>b. Exercise training for urinary retention</td>
<td align="left">levator ani muscle and urethral sphincter</td>
<td align="left">0.6</td>
<td align="left">RVA, stress, strain</td>
</tr>
<tr>
<td align="left">5</td>
<td align="left">a. Magnetic stimulation of constipation<break/>b. biofeedback of constipation<break/>c. Exercise training for constipation</td>
<td align="left">levator ani muscle and external anal sphincter</td>
<td align="left">0.6</td>
<td align="left">ARA, stress, strain</td>
</tr>
<tr>
<td align="left">6</td>
<td align="left">a. Exercise training for urinary incontinence<break/>b. Electrical stimulation for urinary incontinence<break/>c. Magnetic stimulation for urinary incontinence<break/>d. biofeedback for urinary incontinence<break/>e. Vibrational stimulation for urinary incontinence<break/>f. Exercise training for urinary retention<break/>g. Magnetic stimulation for urinary retention<break/>h biofeedback for urinary retention<break/>i. Electrical stimulation for urinary retention<break/>j. Electrical stimulation for fecal incontinence-sacral nerve anterior root electrical stimulation<break/>k. biofeedback for fecal incontinence combined with pelvic floor muscle training<break/>l. Magnetic stimulation for fecal incontinence<break/>m. Exercise training for constipation-pelvic floor muscle training<break/>n. Tibial nerve electrical stimulation, sacral nerve electrical stimulation, and transcutaneous acupoint electrical stimulation for constipation<break/>o. Magnetic stimulation for constipation<break/>p. biofeedback for constipation<break/>q. Vibrational stimulation for constipation</td>
<td align="left">pelvic floor muscles</td>
<td align="left">0.6</td>
<td align="left">RVA, ARA, stress, strain</td>
</tr>
<tr>
<td align="left">7</td>
<td align="left">magnetic stimulation for fecal incontinence-functional magnetic stimulation</td>
<td align="left">pelvic floor muscles and rectus abdominis muscle and erector spinae muscle</td>
<td align="left">0.6</td>
<td align="left">ARA, stress, strain</td>
</tr>
<tr>
<td align="left">8</td>
<td align="left">exercise training for urinary incontinence-hip muscle exercises</td>
<td align="left">pelvic floor muscles and hip muscles</td>
<td align="left">0.6</td>
<td align="left">RVA, stress, strain</td>
</tr>
<tr>
<td align="left">9</td>
<td align="left">exercise training for urinary incontinence-suspension exercise training</td>
<td align="left">pelvic floor muscles and rectus abdominis muscle and hip muscles and erector spinae muscle</td>
<td align="left">0.6</td>
<td align="left">RVA, stress, strain</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Regarding intra-abdominal pressure, a search of the literature shows that the resting intra-abdominal pressure is 0.4&#x2013;0.64&#xa0;kPa (<xref ref-type="bibr" rid="B49">Song et al., 2012</xref>), and the abdominal pressure in another literature was 0.665&#xa0;kPa (<xref ref-type="bibr" rid="B22">Korkmaz and Rogg, 2007</xref>), so the abdominal pressure was selected as 0.6&#xa0;kPa in our study. The main outcome measure of the study are RVA and ARA, which are well-known parameters for evaluating the control ablity of urination and defecation dysfunction (<xref ref-type="bibr" rid="B17">Guo et al., 2015</xref>; <xref ref-type="bibr" rid="B67">Zhou and Lai, 2021</xref>). The second outcome measure of the study are the von Mises stress cloud map and strain region of the area in the finite element model of elderly men under different simulation plans. The simulation plans table is listed in <xref ref-type="table" rid="T2">Table 2</xref>. The first two columns list the test number and the simulated rehabilitation trainings, and the third column lists the loading site. The first to ninth simulation plans simulate the muscle strengthening or impairment effects of the five types of rehabilitation training for the four types of urination and defecation dysfunction.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Finite element model establishment</title>
<p>The finite element model includes the final three-dimensional pelvic floor model including organs including bladder, urethra, rectum and prostate, bones including hipbone, sacrum, coccyx and femur, pelvic floor muscles including bulbocavernosus muscle, ischiocavernosus muscle, superficial transverse perineal muscle, deep transverse perineal muscle, external anal sphincter, external urethral sphincter, coccygeal muscle, pubococcygeus muscle, iliococcygeus muscle, puborectalis muscle and obturator internal muscle, abdominal muscles including rectus abdominis muscle and pyramidal muscle, hip muscles including iliacus muscle, psoas major muscle, rectus femoris muscle, vastus lateralis muscle, vastus intermedius muscle, vastus medialis muscle, tensor fascia lata muscle, gluteus maximus muscle, gluteus medius muscle, piriformis muscle, semitendinosus muscle, semimembranosus muscle, biceps femoris muscle, pubic muscle and adductor longus muscle, back muscles including latissimus dorsi muscle, iliocostalis muscle, longissimus thoracis muscle, skin, fat, a total of 41 structures, 1188,251 nodes and 251,290 elements. <xref ref-type="fig" rid="F4">Figure 4</xref> shows the finite element model of old adult. <xref ref-type="fig" rid="F5">Figure 5</xref> is an annotation diagram of different muscle positions of the finite element model. <xref ref-type="fig" rid="F6">Figure 6</xref> shows the mesh division of the finite element model.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Finite element model of old adult.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Annotation diagram of different muscle positions of the finite element model.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g005.tif"/>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Mesh division of the finite element model.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g006.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Verification of finite element model</title>
<p>We compared pelvic floor changes achieved along the midsagittal plane in computer simulations with imaging observations of Valsalva maneuvers in dynamic MRI. The results showed that the relative changes in waistline, RVA and ARA are within 3.51%, indicating a high consistency between the simulated situation constructed in the study and the actual pelvic floor situation of the elderly, as shown in <xref ref-type="fig" rid="F7">Figure 7</xref>. The comparison of dynamic MRI and 3D model measurement results are shown in <xref ref-type="table" rid="T3">Table 3</xref>.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Schematic diagram of measuring relative changes in waistline, RVA, and ARA.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g007.tif"/>
</fig>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Comparison of dynamic MRI and 3D model measurement results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" colspan="2" align="center">Validation indicators</th>
<th colspan="2" align="center">Measurement results</th>
<th rowspan="2" align="center">Difference percentage</th>
</tr>
<tr>
<th align="center">Dynamic MRI</th>
<th align="center">3D model</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">Waistline</td>
<td align="left">Before Valsalva</td>
<td align="center">161.50&#xa0;mm</td>
<td align="center">165.72&#xa0;mm</td>
<td align="center">2.61%</td>
</tr>
<tr>
<td align="left">After Valsalva</td>
<td align="center">179.30&#xa0;mm</td>
<td align="center">173.01&#xa0;mm</td>
<td align="center">3.51%</td>
</tr>
<tr>
<td rowspan="2" align="left">RVA</td>
<td align="left">Before Valsalva</td>
<td align="center">113.9&#xb0;</td>
<td align="center">115.58&#xb0;</td>
<td align="center">1.47%</td>
</tr>
<tr>
<td align="left">After Valsalva</td>
<td align="center">136.8&#xb0;</td>
<td align="center">135.01&#xb0;</td>
<td align="center">1.31%</td>
</tr>
<tr>
<td rowspan="2" align="left">ARA</td>
<td align="left">Before Valsalva</td>
<td align="center">118.6&#xb0;</td>
<td align="center">118.08&#xb0;</td>
<td align="center">0.44%</td>
</tr>
<tr>
<td align="left">After Valsalva</td>
<td align="center">141.5&#xb0;</td>
<td align="center">143.44&#xb0;</td>
<td align="center">1.37%</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-3">
<title>3.3 Finite element simulation plans analysis results</title>
<sec id="s3-3-1">
<title>3.3.1 Results of changes in ARA and RVA with material properties</title>
<p>We analyzed the numerical changes of ARA and RVA in response to varying material properties respectively, illustrating how these changes correlate with the urinary and defecation abilities of elderly individuals. These relationships are depicted through changes in muscle strength associated with specific defecation and urinary rehabilitation training methods, as shown in <xref ref-type="table" rid="T4">Table 4</xref> and <xref ref-type="table" rid="T5">5</xref>. <xref ref-type="fig" rid="F8">Figures 8</xref>, <xref ref-type="fig" rid="F9">9</xref> present line graphs illustrating the angular responses (ARA and RVA) of five distinct muscle or muscle group combinations to variations in material properties. The x-axis quantifies the changes in material properties as multiplicative factors ranging from 0.05 to 2 times, while the <italic>y</italic>-axis displays the angular response values, with AVA ranging from 110&#xb0; to 140&#xb0;and RVA from 105&#xb0; to 135&#xb0;. <xref ref-type="fig" rid="F8">Figure 8</xref> illustrates that with the increase of material properties, the ARA consistently rises under simulation plans 1, 3, 5, 6, and 7. Conversely, as shown in <xref ref-type="fig" rid="F9">Figure 9</xref>, the RVA diminishes with increasing in material properties under simulation plans 2, 3, 4, 6, 8, and 9. The variation in the slope of each line demonstrates the sensitivity of different muscle groups to changes in material properties.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Numerical table of ARA changes with material properties.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Simulation plans</th>
<th rowspan="2" align="center">Muscles</th>
<th rowspan="2" align="center">Angle</th>
<th colspan="9" align="center">Multiple of material properties</th>
<th colspan="3" align="center">Changes in material properties</th>
</tr>
<tr>
<th align="center">0.05 times</th>
<th align="center">0.25 times</th>
<th align="center">0.50 times</th>
<th align="center">0.75 times</th>
<th align="center">1.00 times</th>
<th align="center">1.25 times</th>
<th align="center">1.50 times</th>
<th align="center">1.75 times</th>
<th align="center">2.00 times</th>
<th align="center">From 0.05 times to 1 times</th>
<th align="center">From 1 times to 2 times</th>
<th align="center">From 0.05 times to 2 times</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">No.1</td>
<td align="left">external anal sphincter</td>
<td align="center">ARA</td>
<td align="center">113.66</td>
<td align="center">115.34</td>
<td align="center">117.82</td>
<td align="center">119.18</td>
<td align="center">121.58</td>
<td align="center">124.29</td>
<td align="center">127.75</td>
<td align="center">131.47</td>
<td align="center">133.72</td>
<td align="center">7.92</td>
<td align="center">12.14</td>
<td align="center">20.06</td>
</tr>
<tr>
<td align="center">No.3</td>
<td align="left">levator ani muscle</td>
<td align="center">ARA</td>
<td align="center">110.79</td>
<td align="center">111.81</td>
<td align="center">117.63</td>
<td align="center">121.59</td>
<td align="center">125.20</td>
<td align="center">126.95</td>
<td align="center">128.48</td>
<td align="center">130.45</td>
<td align="center">134.58</td>
<td align="center">14.41</td>
<td align="center">9.38</td>
<td align="center">23.79</td>
</tr>
<tr>
<td align="center">No.5</td>
<td align="left">levator ani muscle and external anal sphincter</td>
<td align="center">ARA</td>
<td align="center">116.02</td>
<td align="center">116.78</td>
<td align="center">120.42</td>
<td align="center">123.78</td>
<td align="center">127.34</td>
<td align="center">130.33</td>
<td align="center">132.57</td>
<td align="center">134.86</td>
<td align="center">137.93</td>
<td align="center">11.32</td>
<td align="center">10.59</td>
<td align="center">21.91</td>
</tr>
<tr>
<td align="center">No.6</td>
<td align="left">pelvic floor muscles</td>
<td align="center">ARA</td>
<td align="center">122.06</td>
<td align="center">123.03</td>
<td align="center">125.33</td>
<td align="center">127.73</td>
<td align="center">130.40</td>
<td align="center">132.08</td>
<td align="center">134.47</td>
<td align="center">136.57</td>
<td align="center">138.16</td>
<td align="center">8.34</td>
<td align="center">7.76</td>
<td align="center">16.1</td>
</tr>
<tr>
<td align="center">No.7</td>
<td align="left">pelvic floor muscles and rectus abdominis muscle and erector spinae muscle</td>
<td align="center">ARA</td>
<td align="center">117.39</td>
<td align="center">117.88</td>
<td align="center">120.48</td>
<td align="center">124.29</td>
<td align="center">126.61</td>
<td align="center">128.51</td>
<td align="center">131.14</td>
<td align="center">133.64</td>
<td align="center">136.22</td>
<td align="center">9.22</td>
<td align="center">9.61</td>
<td align="center">18.83</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Numerical table of RVA changes with material properties.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Simulation plans</th>
<th rowspan="2" align="center">Muscles</th>
<th rowspan="2" align="center">Angle</th>
<th colspan="9" align="center">Multiple of material properties</th>
<th colspan="3" align="center">Changes in material properties</th>
</tr>
<tr>
<th align="center">0.05 times</th>
<th align="center">0.25 times</th>
<th align="center">0.50 times</th>
<th align="center">0.75 times</th>
<th align="center">1.00 times</th>
<th align="center">1.25 times</th>
<th align="center">1.50 times</th>
<th align="center">1.75 times</th>
<th align="center">2.00 times</th>
<th align="center">From 0.05 times to 1 times</th>
<th align="center">From 1 times to 2 times</th>
<th align="center">From 0.05 times to 2times</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">No.2</td>
<td align="left">urethral sphincter</td>
<td align="center">RVA</td>
<td align="center">123.14</td>
<td align="center">121.32</td>
<td align="center">118.68</td>
<td align="center">116.68</td>
<td align="center">115.21</td>
<td align="center">114.17</td>
<td align="center">113.33</td>
<td align="center">112.79</td>
<td align="center">112.17</td>
<td align="center">&#x2212;7.93</td>
<td align="center">&#x2212;3.04</td>
<td align="center">&#x2212;10.97</td>
</tr>
<tr>
<td align="center">No.3</td>
<td align="left">levator ani muscle</td>
<td align="center">RVA</td>
<td align="center">125.20</td>
<td align="center">124.47</td>
<td align="center">122.56</td>
<td align="center">119.53</td>
<td align="center">116.79</td>
<td align="center">115.79</td>
<td align="center">114.49</td>
<td align="center">113.54</td>
<td align="center">112.64</td>
<td align="center">&#x2212;8.41</td>
<td align="center">&#x2212;4.15</td>
<td align="center">&#x2212;12.56</td>
</tr>
<tr>
<td align="center">No.4</td>
<td align="left">levator ani muscle and urethral sphincter</td>
<td align="center">RVA</td>
<td align="center">126.27</td>
<td align="center">125.37</td>
<td align="center">123.59</td>
<td align="center">120.46</td>
<td align="center">118.87</td>
<td align="center">117.88</td>
<td align="center">116.80</td>
<td align="center">116.02</td>
<td align="center">115.23</td>
<td align="center">&#x2212;7.4</td>
<td align="center">&#x2212;3.64</td>
<td align="center">&#x2212;11.04</td>
</tr>
<tr>
<td align="center">No.6</td>
<td align="left">pelvic floor muscles</td>
<td align="center">RVA</td>
<td align="center">126.54</td>
<td align="center">125.71</td>
<td align="center">124.02</td>
<td align="center">121.94</td>
<td align="center">120.68</td>
<td align="center">119.21</td>
<td align="center">117.58</td>
<td align="center">116.82</td>
<td align="center">116.38</td>
<td align="center">&#x2212;5.86</td>
<td align="center">&#x2212;4.3</td>
<td align="center">&#x2212;10.16</td>
</tr>
<tr>
<td align="center">No.8</td>
<td align="left">pelvic floor muscles and hip muscles</td>
<td align="center">RVA</td>
<td align="center">119.8</td>
<td align="center">119.24</td>
<td align="center">118.44</td>
<td align="center">116.97</td>
<td align="center">115.4</td>
<td align="center">114.25</td>
<td align="center">113.93</td>
<td align="center">113.07</td>
<td align="center">112.71</td>
<td align="center">&#x2212;4.4</td>
<td align="center">&#x2212;2.69</td>
<td align="center">&#x2212;7.09</td>
</tr>
<tr>
<td align="center">No.9</td>
<td align="left">pelvic floor muscles and rectus abdominis muscle and hip muscles and erector spinae muscle</td>
<td align="center">RVA</td>
<td align="center">119.89</td>
<td align="center">118.64</td>
<td align="center">116.69</td>
<td align="center">115.22</td>
<td align="center">113.36</td>
<td align="center">111.58</td>
<td align="center">110.64</td>
<td align="center">109.57</td>
<td align="center">109.17</td>
<td align="center">&#x2212;6.53</td>
<td align="center">&#x2212;4.19</td>
<td align="center">&#x2212;10.72</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Curve chart of ARA changes with material properties.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g008.tif"/>
</fig>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Curve chart of RVA changes with material properties.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g009.tif"/>
</fig>
</sec>
<sec id="s3-3-2">
<title>3.3.2 Comparative analysis of simulated rehabilitation muscles for constipation and fecal incontinence</title>
<p>Simulation plans 3, 5, and 6 were designed to simulate the muscles strengthening and impairment effects on muscles implicated in constipation rehabilitation training. The muscles examined include levator ani muscle, levator ani muscle and external anal sphincter, and pelvic floor muscles. Comparative analysis of improvement of ARA across different simulations, if rehabilitation training gradually changes the material properties of muscles in elderly people from below normal to normal, the training effect of levator ani muscle is better than that of levator ani muscle, external anal sphincter, and pelvic floor muscles in sequence (<xref ref-type="fig" rid="F10">Figures 10</xref>, <xref ref-type="fig" rid="F11">11</xref>). When the material properties of muscles gradually changes from greater than the normal value to the normal value, the training effect of levator ani muscle and external anal sphincter is better than levator ani muscle and pelvic floor muscles in sequence (<xref ref-type="fig" rid="F12">Figures 12</xref>, <xref ref-type="fig" rid="F13">13</xref>).</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Strain diagram of levator ani muscle in simulation plan No.3.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g010.tif"/>
</fig>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Stress diagram of levator ani muscle in simulation No.3.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g011.tif"/>
</fig>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Strain diagram of levator ani muscle and external anal sphincter in simulation No.5.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g012.tif"/>
</fig>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>Stress diagram of levator ani muscle and external anal sphincter in simulation No.5.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g013.tif"/>
</fig>
<p>Simulation plans 1, 3, 6, and 7 were designed to simulate the muscles strengthening and impairment effects of fecal incontinence rehabilitation training, among which the muscles included external anal sphincter, levator ani muscle, pelvic floor muscles, pelvic floor muscles and rectus abdominis muscle and erector spinae muscle. By comparing the improvement degree of ARA under different simulations, when rehabilitation training gradually changes the material properties of muscles in elderly people from less than normal to normal the training effect of levator ani muscle is better than that of pelvic floor muscles and rectus abdominis muscle and erector spinae muscle, pelvic floor muscles, and external anal sphincter, sequentially (<xref ref-type="fig" rid="F10">Figures 10</xref>, <xref ref-type="fig" rid="F11">11</xref>). As the material properties of muscles gradually changes from approach normalcy from above-normal levels, the training effect of external anal sphincter is better than that of pelvic floor muscles and rectus abdominis muscle and erector spinae muscle, levator ani muscle, and pelvic floor muscles, respectively (<xref ref-type="fig" rid="F14">Figures 14</xref>, <xref ref-type="fig" rid="F15">15</xref>).</p>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>Strain diagram of external anal sphincter in simulation No.1.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g014.tif"/>
</fig>
<fig id="F15" position="float">
<label>FIGURE 15</label>
<caption>
<p>Stress diagram of external anal sphincter in simulation No.1.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g015.tif"/>
</fig>
<p>It is noteworthy that regardless of muscle material properties in elderly people, training the levator ani muscle alone yields better outcomes than training it as part of the pelvic floor group for managing constipation and fecal incontinence in the elderly. Furthermore, regardless of the state of muscle material properties in the elderly, a comprehensive training approach that includes pelvic floor muscles, rectus abdominis, and erector spinae muscles proves more effective than focusing solely on the pelvic floor muscles in constipation and fecal incontinence rehabilitation trainings.</p>
</sec>
<sec id="s3-3-3">
<title>3.3.3 Comparative analysis of simulated rehabilitation muscles for urinary incontinence and urinary retention</title>
<p>Simulation plans 3, 4, 6, 8, and 9 were designed to simulate the muscles enhancement and impairment effects of urinary incontinence rehabilitation training. The targeted muscle groups included levator ani muscle, levator ani muscle and urethral sphincter, pelvic floor muscles, pelvic floor muscles and hip muscles, pelvic floor muscles and rectus abdominis muscle and hip muscles and erector spinae muscle. By comparing the degree of improvement in RVA under different simulations, it can be indicated that rehabilitation training progressively changes the material properties of muscles in elderly people from less than normal to normal, the efficacy of training the levator ani muscle alone surpassed that of combined training with the urethral sphincter, and also outperformed the broader group training involving pelvic floor muscles and rectus abdominis muscle and hip muscles and erector spinae muscle, pelvic floor muscles, pelvic floor muscles and hip muscles, sequentially (<xref ref-type="fig" rid="F10">Figures 10</xref>, <xref ref-type="fig" rid="F11">11</xref>). Furthermore, when the material properties of the muscles from greater than the normal value to the normal value, the training effectiveness of the pelvic floor muscles excelled over that of the pelvic floor muscles and rectus abdominis muscle and hip muscles and erector spinae muscls, levator ani muscles, levator ani muscles and urethral sphincter, and pelvic floor muscles and hip muscles in sequence (<xref ref-type="fig" rid="F16">Figures 16</xref>, <xref ref-type="fig" rid="F17">17</xref>).</p>
<fig id="F16" position="float">
<label>FIGURE 16</label>
<caption>
<p>Stress diagram of external anal sphincter in simulation No.6.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g016.tif"/>
</fig>
<fig id="F17" position="float">
<label>FIGURE 17</label>
<caption>
<p>Stress diagram of pelvic floor muscles in simulation No.6.</p>
</caption>
<graphic xlink:href="fbioe-12-1392448-g017.tif"/>
</fig>
<p>Simulation plans 2, 3, 4, and 6 were designed to simulate the muscles strengthening and impairment effects of urinary retention rehabilitation training. The muscles include urethral sphincter, levator ani muscle, levator ani muscle and urethral sphincter, and pelvic floor muscles. By comparing the degree of improvement in RVA under different simulations, it can be concluded that rehabilitation training gradually changes the material of muscles in elderly people from less than normal to normal, and the training&#x2019;s efficacy on levator ani muscle surpassed urethral sphincter alone and levator ani muscle combined with the urethral sphincter (<xref ref-type="fig" rid="F10">Figures 10</xref>, <xref ref-type="fig" rid="F11">11</xref>). The training&#x2019;s efficacy on levator ani muscle and also exceeded training effects on pelvic floor muscles. In addition, when the material properties of the muscles gradually changes from greater than the normal value to the normal value, the effect of pelvic floor muscles is superior to those involving levator ani muscle alone, or levator ani muscle in combination with urethral sphincter, and urethral sphincter alone respectively (<xref ref-type="fig" rid="F16">Figures 16</xref>, <xref ref-type="fig" rid="F17">17</xref>).</p>
<p>It should be noted that irrespective of the muscle material properties in the elderly, the training of the levator ani muscle alone demonstrates superior effectiveness over combined training with the urethral sphincter in managing urinary incontinence and retention. Furthermore, both individual and combined training of pelvic floor muscles with rectus abdominis muscles, hip muscles, erector spinae muscles provide more significant benefits compared to training that combines only the pelvic floor muscles with hip muscles.</p>
<p>Moreover, it was observed that alterations in the material properties of muscles from 0.05 to 0.25 times did not significantly impact the ARA. Similarly, when the muscle material properties ranged from 1.50 to 2.00 times, there was no significant change in the RVA.</p>
</sec>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>This study gathered muscles medical imaging from a elderly male to develop and verified a finite element model. This study explored the quantitative relationship between rehabilitation training methods on muscles and urinary and defecation dysfunction, ultimately elucidating the mechanism of improving urinary and defecation dysfunction. One of the advantages of finite element models is that they provide a cost-effective solution for studying complex biomechanical processes, such as rehabilitation training for bowel and bladder functions, without the need for extensive resources, specialists, or equipment. Additionally, these models enhance safety by eliminating the potential risks associated with human trials. Due to the consistent reproducibility of computations, finite element models are able to deliver highly repeatable results. Previous studies have developed some pelvic floor finite element models for the treatment of urinary incontinence, however that predominantly focused on young postpartum women (<xref ref-type="bibr" rid="B20">Hu and Pierre, 2019</xref>), leading to a gap in models suited for older men. Male and female pelvic floor anatomy are different, and aging individuals experience physiological changes including decreased muscle strength and changes in pelvic floor tissue relaxation and elasticity. Currently, there is a lack of finite element model of the pelvic floor for analyzing fecal incontinence, constipation, urinary incontinence and urinary retention in elderly men, therefore it is very necessary to construct a finite element model of the pelvic floor of elderly men to guide rehabilitation and treatment. In addition, our model also integrates additional muscular systems, such as those of the back, hip, and abdomen, which play significant roles in urination and defecation rehabilitation training and are often overlooked in existing models. This innovative approach is more conducive to simulating the rehabilitation training methods and measuring the quantitative relationship between five rehabilitation training methods and the urinary and defecation control ability of elderly men, which is also one of the innovative points of this study.</p>
<p>The primary structures that affect the ability to control bowel movements are mainly divided into three parts including pelvic floor muscles, core muscles and sacral nerves. Pelvic floor muscles are crucial for regulating urination, defecation, and maintaining vaginal contractions. Core muscles, encompassing the waist, abdomen, hips, and legs, serve as pivotal points for trunk movements, enhancing stability for the spine and pelvis, and increasing abdominal pressure. Sacral nerves play a vital role in managing the reflexes of the bladder, sphincters, and pelvic floor. In this study, we systematically investigatesd the impact of rehabilitation training on the urinary and defecation abilities of elderly by analyzing the angular changes of ARA and RVA in response to alterations in the material properties of involved muscles.</p>
<p>Regarding the changes in material properties of pelvic floor muscles in the elderly, it is observed that these tissues physiologically lose some elasticity due to aging, potentially reducing the Young&#x2019;s module of soft tissues (<xref ref-type="bibr" rid="B4">Bhattarai and Staat, 2018</xref>). Regular muscle training or other healthy habits in some elderly individuals may increase the Young&#x2019;s module, potentially reversing some age-related degenerative changes. It is important to note that changes in the Young&#x2019;s module of pelvic floor muscles in the elderly are not absolute. These changes depend on individual characteristics, natural aging, disease types, and cannot be universally generalized. Hence, our study simulated a range of material properties from 0.05 to 2 times to accommodate various simulation scenarios.</p>
<p>The normal range of ARA and RVA vary, and the variability in results could be attributed to the individual differences among assessors or the participants. According to literature (<xref ref-type="bibr" rid="B62">Xue, 1996</xref>; <xref ref-type="bibr" rid="B38">Mortele and Fairhurst, 2007</xref>; <xref ref-type="bibr" rid="B11">Colaiacomo et al., 2009</xref>; <xref ref-type="bibr" rid="B5">Bitti et al., 2014</xref>; <xref ref-type="bibr" rid="B21">Kobi et al., 2018</xref>; <xref ref-type="bibr" rid="B67">Zhou and Lai, 2021</xref>; <xref ref-type="bibr" rid="B54">The MR Group of the Radiology Branch of the Chinese Medical Association, 2022</xref>), the typical resting range of ARA is between 90&#xb0; and 127&#xb0;, while during defecation, it extends from 120&#xb0; to 152.4&#xb0;. The resting RVA spans from 90&#xb0; to 120&#xb0; (<xref ref-type="bibr" rid="B32">Liu et al., 2013</xref>). In cases of anterior pelvic dysfunction, RVA values can expand from the normal range of 90&#xb0;&#x2013;120&#xb0;&#x2013;160&#xb0;&#x2013;180&#xb0;during the tension phases (<xref ref-type="bibr" rid="B16">Fielding et al., 2000</xref>). Some research also suggests that RVA for individuals with stress urinary incontinence may exceed 140&#xb0; (<xref ref-type="bibr" rid="B30">Li and Yan, 2015</xref>). The results indicate that as the material properties of muscles or muscle groups change, ARA and RVA are gradually approaching the normal range. Therefore, theoretically, it can be posited that rehabilitation training methodologies including biofeedback, exercise training, electrical stimulation, magnetic stimulation, and vibration training may enhance the ability of elderly men to control bowel movements.</p>
<p>The responsiveness of different muscles to changes in ARA and RVA angles can be evaluated by comparing the slopes of each line in Tables 8 and 9. A higher slope indicates a greater responsiveness of that muscle or muscle combination to changes in ARA and RVA angles. Research findings indicate that individual training of specific muscle groups, particularly the levator ani muscle, proves more effective in treating disorders of both urination and defecation in the elderly compared to combined training with pelvic floor and urethral sphincter muscles. This could be due to the specific role that the levator ani muscle plays in supporting the pelvic organs and controlling the functions closely related to the bowel movements. While the specific research studies that the comparative effectiveness of isolated levator ani muscle training <italic>versus</italic> comprehensive pelvic floor muscle training might not be directly available, general principles of physical therapy and muscle rehabilitation suggest that targeted exercises can indeed improve the functionality of specific muscles more effectively than generalized training. A study reached a similar conclusion to ours, the study pointed out that with the increase of external load, the training effect on certain muscles significantly increases, while the training effect on other muscles is much smaller. The simulation results show that compared with pure weightlifting training, training based on optimal load orientation concept (OLOC) can significantly improve the training effect of specific muscles, and training methods targeting specific muscles maximize the training effect of target muscles (<xref ref-type="bibr" rid="B50">Song et al., 2018</xref>).</p>
<p>In addition, research findings indicate that targeted muscle rehabilitation training for the levator ani muscle and anal external anal sphincter in cases of fecal dysfunction, and for the levator ani muscle and pelvic floor muscles in cases of urinary dysfunction, theoretically holds the greatest potential for significant improvement in the urinary and defecation control ability of the elderly. Previous studies (<xref ref-type="bibr" rid="B67">Zhou and Lai, 2021</xref>) have highlighted that the key factors influencing individual urinary and defecation control ability include the levator ani muscle, puborectalis muscle, and external anal sphincter, all of which are closely associated with fecal dysfunction. Abnormalities in the structure or function of these muscles lead to bowel control problems. This aligns with the conclusions of our research, which suggests that optimizing the function of the peri-anal muscle group is essential for improving urinary and defecation control ability. Furthermore, for urinary function, the pelvic floor muscles are the most critical source of support (<xref ref-type="bibr" rid="B27">Li and Lu, 2023</xref>), with the levator ani muscle playing a significant supportive role (<xref ref-type="bibr" rid="B2">Ashton-Miller and DeLancey, 2007</xref>). The literature (<xref ref-type="bibr" rid="B68">Zhou et al., 2020</xref>) pointed out that pelvic floor muscle exercise, mainly involving the levator ani muscle, is a method for treating pelvic floor dysfunction diseases. Pelvic floor muscles rehabilitation training, including Kegel exercises, pelvic floor muscle training, biofeedback training, electrical stimulation, and acupuncture, is commonly used in elderly males post-laparoscopic radical prostatectomy (<xref ref-type="bibr" rid="B15">Feng, 2022</xref>) and for managing lower urinary tract symptoms post-stroke (<xref ref-type="bibr" rid="B55">Tibaek et al., 2017</xref>).</p>
<p>In conclusion, these results are significant for understanding and treating muscle-related urination and defecation dysfunction. The findings emphasize the importance of personalized and targeted rehabilitation approaches in effectively addressing pelvic floor dysfunctions. Some studies (<xref ref-type="bibr" rid="B39">Okada et al., 2001</xref>; <xref ref-type="bibr" rid="B53">Tang et al., 2020</xref>) have employed shear wave elastography (SWE) to assess the biomechanical properties of pelvic floor muscles. Future research should further explore how specific rehabilitation training methods practically affect muscle material properties, aiming to adjust these properties through tailored exercises to improve bowel disorders in the elderly. When designing and implementing targeted rehabilitation training, it is recommended to advocate for personalized and dynamic treatment plans. Specifically, the response characteristics of different muscles under varying stress conditions should be considered, and training intensity and muscle group rehabilitation strategies should be adjusted based on the changes in muscle material properties to enhance the effectiveness of rehabilitation training for the elderly.</p>
<p>The study acknowledges several limitations. Firstly, due to constraints, this study was conducted on a single elderly male subject, and the results may not fully represent all elderly men. Secondly, the complexity of the human body necessitated the simplification of certain biomechanical processes. This includes a focus on specific muscle groups, such as the abdominal muscles specifically refer to the rectus abdominis, and the hip muscles specifically refer to the iliopsoas, quadriceps, gluteus maximus, hamstrings, gluteus medius, and adductor longus The back muscles were specifically the erector spinae, without incorporating ligament roles or all muscle combinations. Third, while the study provides insights into muscle functionality and its effects on rehabilitation outcomes, the results of this study are based on the relationship between muscles and ARA, RVA, and it does not a direct relationship between rehabilitation training methods and urinary and defecation control ability. This possibly leading to over-idealized conclusions. In actual rehabilitation training, it may not be possible to train a single muscle alone, and it is also difficult to achieve proportional changes in muscles. However, this research offers a methodological approach to explain the mechanism of urinary and defecation control ability and elucidates the potential mechanisms linking rehabilitation training methods with the urinary and defecation control ability in the elderly.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>In conclusion, by constructing and verificating a finite element model the study demonstrates that rehabilitation training, including exercise training, electrical stimulation, magnetic stimulation, biofeedback, and vibration stimulation, can improve the urinary and defecation control ability of elderly men. Crucially, the research results highlights the pivotal role of the levator ani muscle, external anal sphincter, and pelvic floor muscles in the managing of urination and defecation dysfunction. Moreover, this study emphasizes the effectiveness of targeted rehabilitation training in restoring urinary and defecation control among the elderly, emphasizing the need to adjust muscle training intensity and method based on the individual&#x2019;s muscle material properties to optimize therapeutic outcomes.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Ethics statement</title>
<p>The studies involving humans were approved by Ethics Committee of Xuanwu Hospital, Capital Medical University and Ethics Committee of Capital Medical University. The studies were conducted in accordance with the local legislation and institutional requirements. The participants provided their written informed consent to participate in this study. Written informed consent was obtained from the individual(s) for the publication of any potentially identifiable images or data included in this article.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>RW: Data curation, Formal Analysis, Investigation, Methodology, Software, Validation, Writing&#x2013;original draft, Writing&#x2013;review and editing. GL: Formal Analysis, Methodology, Supervision, Validation, Writing&#x2013;review and editing. LJ: Formal Analysis, Funding acquisition, Resources, Supervision, Writing&#x2013;review and editing. JZ: Formal Analysis, Methodology, Supervision, Writing&#x2013;review and editing. YY: Data curation, Writing&#x2013;review and editing. HZ: Data curation, Writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This study is supported by the National Key R&#x26;D (research and development) Program of China (grant 2022YFB4703300). Any opinions, findings, conclusions, or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of National Key R&#x26;D Program of China.</p>
</sec>
<ack>
<p>Thanks to Zhu Ying from Peking University First Hospital, Wu Chunxue from Xuanwu Hospital of Capital Medical University, professor Qian Xiuqing from Biomedical Engineering College of Capital Medical University, Zhang Zhiyong from North China University of Science and Technology for their guidance and help in this research.</p>
</ack>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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