Article(id=1244321221911883983, tenantId=1146029695717560320, journalId=1244284848500682798, issueId=1244321215637209904, articleNumber=null, orderNo=null, doi=10.16156/j.1004-7220.2025.05.028, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1740844800000, receivedDateStr=2025-03-02, revisedDate=1742832000000, revisedDateStr=2025-03-25, acceptedDate=null, acceptedDateStr=null, onlineDate=1774598897673, onlineDateStr=2026-03-27, pubDate=1759248000000, pubDateStr=2025-10-01, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1774598897673, onlineIssueDateStr=2026-03-27, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1774598897673, creator=13701087609, updateTime=1774598897673, updator=13701087609, issue=Issue{id=1244321215637209904, tenantId=1146029695717560320, journalId=1244284848500682798, year='2025', volume='40', issue='5', pageStart='1079', pageEnd='1366', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=1, specialIssue=null, createTime=1774598896178, creator=13701087609, updateTime=1774599509568, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1244323788452639476, tenantId=1146029695717560320, journalId=1244284848500682798, issueId=1244321215637209904, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1244323788452639477, tenantId=1146029695717560320, journalId=1244284848500682798, issueId=1244321215637209904, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=1295, endPage=1302, ext={EN=ArticleExt(id=1244321222226456788, articleId=1244321221911883983, tenantId=1146029695717560320, journalId=1244284848500682798, language=EN, title=Estimating Running Ground Reaction Force Curves Using Long Short-Term Memory Neural Network and Markerless Motion Capture System, columnId=1244321216404767539, journalTitle=Journal of Medical Biomechanics, columnName=Original Articles, runingTitle=null, highlight=null, articleAbstract=
Objective By applying the long short-term memory (LSTM) neural network model and using lower body landmark coordinates obtained from a markerless motion capture system as inputs, to estimate ground reaction force (GRF) curves during running.
Methods The video images and GRF data of 59 amateur runners during running were collected by the markerless motion capture system and three-dimensional (3D) force plates. The LSTM model was established, and the 3D coordinates of 11 lower body landmarks, obtained via the Theia3D markerless system, were used as inputs to estimate the 3D GRF curves during the stance of running. The estimation performance was evaluated using correlation coefficients r, root mean square error (RMSE), and normalized root mean square error (nRMSE) by comparing LSTM model estimation and force plate measurement. Statistical parametric mapping was used to analyze differences in GRF curves estimated by the LSTM model and measured by the force plate, while paired t-tests were used to assess differences in GRF characteristics between model estimation and actual measurement.
Results A strong correlation (r>0.85, P<0.001) and lower error (RMSE<0.3 body weight, nRMSE<15%) was found between the LSTM model estimation and actual measurements. No significant difference was found in GRF curve intervals between LSTM model estimation and actual measurements. There was no significant difference in GRF characteristics between LSTM model estimation and actual measurements (P>0.05).
Conclusions Based on the LSTM model, the 3D GRF curves can be effectively estimated by lower body landmark coordinates obtained from the makerless motion capture system, thereby acquiring the highly accurate GRF characteristics. The LSTM model developed in this study can be used to monitor injury risks during running in outdoor environments.
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目的 应用长短时记忆神经网络(long short-term memory,LSTM)模型,以无标记动作捕捉系统所得下肢关节点坐标作为输入变量,估算跑步过程中的地面反作用力(ground reaction forces,GRF)曲线。
方法 采用无标记动作捕捉系统和三维测力台同步采集59名业余跑者跑步动作下的视频图像和动力学数据。建立LSTM模型,以Theia3D无标记动作捕捉系统获取的11个下肢关节点三维坐标作为输入变量估算跑步支撑阶段三维GRF曲线。使用相关系数、均方根误差(root mean square error,RMSE)和标准化均方根误差(normalized root mean square error,nRMSE)评估LSTM模型的估算效果,采用统计参数映射分析LSTM模型估算和测力台实测曲线的差异,采用配对样本t检验分析模型估算与实测GRF特征差异。
结果 LSTM模型估算所得GRF与实测值之间高度相关(r>0.85,P<0.001)且误差较小(RMSE<0.3倍体重,nRMSE<15%)。LSTM模型估算所得GRF曲线与实测曲线之间不存在显著差异区间。基于LSTM估算曲线计算所得GRF特征与实测值不存在显著差异(P>0.05)。
结论 基于LSTM模型,可从无标记动作捕捉系统获取的下肢关节点三维坐标有效估算人体跑步时GRF曲线,并获得准确性较高的GRF特征。本研究建立的LSTM模型可以用于户外环境下监控跑步过程中的损伤风险。
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作者贡献声明:
周玉林负责研究设计、数据采集、数据分析及撰写论文;赵峻辰协助研究实施及数据采集;李翰君、时会娟、刘卉负责研究设计、研究指导和论文修改。
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Experimental site, figureFileSmall=lkuLkCgeFfYliOMdCvDMzA==, figureFileBig=WQl/EZ+/DXtVNmLRE4umlw==, tableContent=null), ArticleFig(id=1244321230191440447, tenantId=1146029695717560320, journalId=1244284848500682798, articleId=1244321221911883983, language=CN, label=图1, caption=
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Framework of the markerless motion capture system for GRF curve estimation, figureFileSmall=Kq4qrZPpvPx/SQ6keBnNbA==, figureFileBig=dg6vpo3ieB1XF9XFWciD+A==, tableContent=null), ArticleFig(id=1244321230560539235, tenantId=1146029695717560320, journalId=1244284848500682798, articleId=1244321221911883983, language=CN, label=图2, caption=
无标记动作捕捉系统估算GRF曲线框架, figureFileSmall=Kq4qrZPpvPx/SQ6keBnNbA==, figureFileBig=dg6vpo3ieB1XF9XFWciD+A==, tableContent=null), ArticleFig(id=1244321230707339890, tenantId=1146029695717560320, journalId=1244284848500682798, articleId=1244321221911883983, language=EN, label=Fig. 3, caption=
GRF characteristics calculation (a) Vertical GRF with first peak absent, (b) Vertical GRF with first peak present, (c) Anterior-posterior GRF, figureFileSmall=lMd3CcEGZuJN46V20dyaiA==, figureFileBig=zTvnpshpQ8Z2TpdIdiNWlg==, tableContent=null), ArticleFig(id=1244321230845751940, tenantId=1146029695717560320, journalId=1244284848500682798, articleId=1244321221911883983, language=CN, label=图3, caption=
GRF特征计算方式, figureFileSmall=lMd3CcEGZuJN46V20dyaiA==, figureFileBig=zTvnpshpQ8Z2TpdIdiNWlg==, tableContent=null), ArticleFig(id=1244321230942220942, tenantId=1146029695717560320, journalId=1244284848500682798, articleId=1244321221911883983, language=EN, label=Fig. 4, caption=
SPM analysis results of LSTM model estimation for GRF curves (a) Anterior-posterior direction, (b) Medial-lateral direction, (c) Vertical direction, figureFileSmall=l4ApXy6lV6nNkwNy3aMm9A==, figureFileBig=11iWwrzUcRz8gSbLELYvIQ==, tableContent=null), ArticleFig(id=1244321231093215903, tenantId=1146029695717560320, journalId=1244284848500682798, articleId=1244321221911883983, language=CN, label=图4, caption=
LSTM模型估算GRF曲线SPM分析结果, figureFileSmall=l4ApXy6lV6nNkwNy3aMm9A==, figureFileBig=11iWwrzUcRz8gSbLELYvIQ==, tableContent=null), ArticleFig(id=1244321231240016559, tenantId=1146029695717560320, journalId=1244284848500682798, articleId=1244321221911883983, language=EN, label=Tab. 1, caption=
Results of LSTM model for estimating GRF during running (n=72)
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| 方向 | r | RMSE/BW | nRMSE/% |
|---|
| 前后 | 0.992±0.008 | 0.038±0.018 | 5.78±2.81 |
| 左右 | 0.951±0.048 | 0.019±0.007 | 10.68±3.83 |
| 垂直 | 0.993±0.012 | 0.110±0.059 | 4.36±2.28 |
), ArticleFig(id=1244321231353262782, tenantId=1146029695717560320, journalId=1244284848500682798, articleId=1244321221911883983, language=CN, label=表1, caption=
LSTM模型估算跑步动作GRF结果(n=72)
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| 方向 | r | RMSE/BW | nRMSE/% |
|---|
| 前后 | 0.992±0.008 | 0.038±0.018 | 5.78±2.81 |
| 左右 | 0.951±0.048 | 0.019±0.007 | 10.68±3.83 |
| 垂直 | 0.993±0.012 | 0.110±0.059 | 4.36±2.28 |
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Comparison of GRF characteristics between LSTM model estimation and force plate measurement (n=72)
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| 指标 | LSTM | 测力台 | P |
|---|
| 推进力峰值/BW | 0.296±0.053 | 0.297±0.062 | 0.789 |
| 制动力峰值/BW | 0.360±0.068 | 0.362±0.074 | 0.403 |
| 垂直冲击峰值/BW | 1.524±0.296 | 1.540±0.306 | 0.372 |
| 垂直主动峰值/BW | 2.513±0.227 | 2.528±0.224 | 0.277 |
| VLR/(BW·s-1) | 50.84±7.92 | 51.60±8.80 | 0.380 |
), ArticleFig(id=1244321231562978005, tenantId=1146029695717560320, journalId=1244284848500682798, articleId=1244321221911883983, language=CN, label=表2, caption=
LSTM模型估算和测力台实测GRF特征结果比较(n=72)
, figureFileSmall=null, figureFileBig=null, tableContent=
| 指标 | LSTM | 测力台 | P |
|---|
| 推进力峰值/BW | 0.296±0.053 | 0.297±0.062 | 0.789 |
| 制动力峰值/BW | 0.360±0.068 | 0.362±0.074 | 0.403 |
| 垂直冲击峰值/BW | 1.524±0.296 | 1.540±0.306 | 0.372 |
| 垂直主动峰值/BW | 2.513±0.227 | 2.528±0.224 | 0.277 |
| VLR/(BW·s-1) | 50.84±7.92 | 51.60±8.80 | 0.380 |
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Estimation error of LSTM model for estimating GRF characteristics (n=72)
, figureFileSmall=null, figureFileBig=null, tableContent=
| 指标 | 绝对误差 | 相对误差/% |
|---|
| 推进力峰值/BW | 0.02±0.01 | 6.85±5.22 |
| 制动力峰值/BW | 0.02±0.01 | 4.78±3.84 |
| 垂直冲击峰值/BW | 0.11±0.08 | 7.29±5.86 |
| 垂直主动峰值/BW | 0.09±0.06 | 3.51±2.44 |
| VLR/(BW·s-1) | 5.30±4.02 | 10.39±3.75 |
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LSTM模型估算GRF特征误差(n=72)
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| 指标 | 绝对误差 | 相对误差/% |
|---|
| 推进力峰值/BW | 0.02±0.01 | 6.85±5.22 |
| 制动力峰值/BW | 0.02±0.01 | 4.78±3.84 |
| 垂直冲击峰值/BW | 0.11±0.08 | 7.29±5.86 |
| 垂直主动峰值/BW | 0.09±0.06 | 3.51±2.44 |
| VLR/(BW·s-1) | 5.30±4.02 | 10.39±3.75 |
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