arXiv:2601.08318q-bio.QMcs.LG2026-01

用共享网格网络拆解跨人膝关节应力预测中的历史与传播依赖,发现历史信息是关键。

Disentangling History and Propagation Dependencies in Cross-Subject Knee Contact Stress Prediction Using a Shared MeshGraphNet Backbone

  • 构建共享网格图网络,分离时间历史与空间传播影响。
  • 引入控制变压器编码短期历史,显著降低峰值应力误差。
  • 适合关注运动生物力学建模与深度代理模型优化的研究者。

背景:个体化有限元分析能精确表征膝关节力学特性,但计算成本高。深度代理模型提供快速替代方案,但在有限姿态和载荷输入下跨个体泛化能力尚不明确。预测不确定性主要源于时间历史依赖还是空间传播依赖仍不清楚。方法:为分离这些因素,采用固定网格拓扑的共享MeshGraphNet(MGN)骨干网络。基于OpenSim-FEBio工作流构建了9名受试者跑步试验数据集。设计四种模型变体以隔离特定依赖关系:(1) 基线MGN;(2) CT-MGN,引入控制变换器编码短时历史;(3) MsgModMGN,使用状态条件调制消息传递以实现自适应传播;(4) CT-MsgModMGN,结合两种机制。通过针对未见受试者的分组三重交叉验证评估模型性能。结果:包含历史编码的模型显著优于基线MGN和MsgModMGN,在全局精度与空间一致性上表现更佳。关键的是,CT模块有效缓解了深度代理中常见的峰值削平缺陷,显著降低峰值应力预测误差。相反,仅使用空间传播调制未带来显著改进,且与CT结合无额外增益。结论:在跨个体膝关节接触力学预测中,时间历史依赖而非空间传播调制是预测不确定性的主要来源。显式编码短时驱动序列可使代理模型恢复隐含相位信息,从而在峰值应力捕捉与高风险定位上优于纯状态驱动方法。

原文摘要 · Abstract (English)

Background:Subject-specific finite element analysis accurately characterizes knee joint mechanics but is computationally expensive. Deep surrogate models provide a rapid alternative, yet their generalization across subjects under limited pose and load inputs remains unclear. It remains unclear whether the dominant source of prediction uncertainty arises from temporal history dependence or spatial propagation dependence. Methods:To disentangle these factors, we employed a shared MGN backbone with a fixed mesh topology. A dataset of running trials from nine subjects was constructed using an OpenSim-FEBio workflow. We developed four model variants to isolate specific dependencies: (1) a baseline MGN; (2) CT-MGN, incorporating a Control Transformer to encode short-horizon history; (3) MsgModMGN, applying state-conditioned modulation to message passing for adaptive propagation; (4) CT-MsgModMGN, combining both mechanisms. Models were evaluated using a rigorous grouped 3-fold cross-validation on unseen subjects.Results:The models incorporating history encoding significantly outperformed the baseline MGN and MsgModMGN in global accuracy and spatial consistency. Crucially, the CT module effectively mitigated the peak-shaving defect common in deep surrogates, significantly reducing peak stress prediction errors. In contrast, the spatial propagation modulation alone yielded no significant improvement over the baseline, and combining it with CT provided no additional benefit.Conclusion:Temporal history dependence, rather than spatial propagation modulation, is the primary driver of prediction uncertainty in cross-subject knee contact mechanics. Explicitly encoding short-horizon driver sequences enables the surrogate model to recover implicit phase information, thereby achieving superior fidelity in peak-stress capture and high-risk localization compared to purely state-based approaches.

膝关节力学代理模型图网络跨人泛化

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