长跑致下肢组织疲劳损伤演化力学机制及智能评估研究
FATIGUE DAMAGE EVOLUTION MECHANICAL MECHANISMA AND INTELLIGENT ASSESSMENT IN LOWER LIMB TISSUES DURING LONG-DISTANCE RUNNING
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摘要: 针对传统长跑损伤评估方法难以量化组织累积载荷与机械疲劳效应的局限性, 文章通过融合个性化肌骨系统建模、疲劳失效力学分析与深度物理信息神经网络, 构建了一套从力学机理揭示到相对风险预测的生物力学研究框架. 研究聚焦于连续冲击载荷下组织的损伤演化规律, 旨在系统阐明足部生物力学特征与跑步里程对组织疲劳损伤的协同调控机制, 为长跑损伤的力学风险评估提供新的理论依据. 研究首先基于个体医学影像数据构建了具有解剖特异性的下肢肌骨模型, 并引入表征肌腱等致密结缔组织的非线性粘弹性本构关系, 以精确刻画其在循环载荷下的应力松弛、蠕变等时变力学行为. 基于累积损伤理论建立了组织层次的疲劳失效力学模型, 定量揭示了足底筋膜、跟腱、胫骨及髌股关节在长跑过程中的损伤累积呈现明显的三阶段非线性演化规律, 并识别出11 ~ 16 km为关键的“疲劳敏感窗口”. 定量分析表明, 足部姿态指数随跑程显著变化, 且与各组织疲劳失效概率存在高度非线性正相关. 此外, 为实现损伤风险的动态评估, 本研究创新性地将疲劳失效力学机理嵌入深度物理信息神经网络, 通过将组织累积损伤演化方程作为物理约束引入损失函数, 构建了以足部姿态指数和跑步里程为核心输入参数的智能预测模型. 基于45名跑者半程马拉松跑实验数据验证了该模型在预测精度和泛化能力上均显著优于纯数据驱动方法. 结果表明, 长跑过程中下肢组织疲劳损伤具有非线性、多阶段演化的生物力学特征, 且不同组织对累积载荷的响应存在时空差异性. 所提出的融合力学机理与深度学习的新型框架, 能够有效实现从运动学到组织内部损伤状态的动态映射与力学趋势预测. 本研究不仅为理解长跑相关损伤演化机制提供了更深入的力学解释, 也为发展基于生物力学原理的个性化损伤预防与康复策略提供了重要的方法论支持.Abstract: To address the limitations of traditional long-distance running injury assessment methods in quantifying tissue cumulative load and mechanical fatigue effects, this study integrates personalized musculoskeletal system modeling, fatigue failure mechanics analysis, and deep physics-informed neural networks to establish a biomechanical research framework spanning from the elucidation of mechanical mechanisms to the prediction of relative risk. Focusing on tissue damage evolution under continuous impact loading, this research aims to systematically elucidate the synergistic regulatory mechanisms of foot biomechanical characteristics and running distance on tissue fatigue damage, thereby providing a new theoretical foundation for the mechanical risk assessment of long-distance running injuries. The study first constructs an anatomically specific lower limb musculoskeletal model based on individual medical imaging data. It incorporates a nonlinear viscoelastic constitutive relationship to characterize dense connective tissues such as tendons, enabling accurate depiction of their time-dependent mechanical behaviors, including stress relaxation and creep, under cyclic loading. Subsequently, a tissue-level fatigue failure mechanics model is established based on cumulative damage theory. This model quantitatively reveals a distinct three-stage nonlinear evolution pattern in damage accumulation for the plantar fascia, Achilles tendon, tibia, and patellofemoral joint during long-distance running. A critical “fatigue-sensitive window” is identified within the 11-16 km running distance range. Quantitative analysis further demonstrates that the Foot Posture Index (FPI) changes significantly with running distance and exhibits a highly nonlinear positive correlation with the fatigue failure probability of each tissue. Furthermore, to enable dynamic assessment of injury risk, this study innovatively embeds the fatigue failure mechanics mechanism into a deep physics-informed neural network. By incorporating the tissue cumulative damage evolution equation as a physical constraint into the loss function, an intelligent prediction model is developed, using FPI and running distance as core input parameters. Validation based on experimental data from 45 runners completing a half-marathon confirms that the proposed model significantly outperforms purely data-driven methods in both prediction accuracy and generalization capability. The results indicate that fatigue damage in lower limb tissues during long-distance running exhibits nonlinear, multi-stage biomechanical evolution characteristics, with different tissues showing spatiotemporal heterogeneity in their response to cumulative loading. The novel framework that integrates mechanical principles with deep learning effectively achieves dynamic mapping and mechanical trend prediction from kinematic parameters to internal tissue damage states. This study not only provides a deeper mechanical explanation for understanding the mechanisms behind running-related injuries but also offers important methodological support for developing personalized injury prevention and rehabilitation strategies based on biomechanical principles.
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