标题： 心肌机电耦合数值模型中细胞力学-钙反馈的影响 显示英文标题

标题： Influence of cellular mechano-calcium feedback in numerical models of cardiac electromechanics

摘要： 多物理场和多尺度的数学模型能够实现对心脏功能的非侵入性研究。 这些模型通常依赖于简化假设，忽略某些生物物理过程，以平衡准确性和计算成本。 在这项工作中，我们提出了一种基于eikonal方程的框架，该框架结合了机械-钙反馈——即机械变形对钙-肌钙蛋白缓冲的影响——同时引入了可忽略不计的计算开销。 为了评估机械-钙反馈在器官水平上的影响，我们开发了一个双向耦合的细胞机电模型，并将其集成到两种心脏多尺度框架中：一种单域驱动模型，考虑了几何反馈对电生理的影响；以及所提出的基于eikonal的框架，它忽略了几何反馈。 通过确保所有场景下一致的细胞模型校准，我们隔离了机械-钙反馈的作用，并系统地比较了其效果与没有机械-钙反馈的模型。 我们的结果显示，在基线条件下，机械-钙反馈对整体心脏功能影响较小。 然而，在改变力生成的情景下，如正性变力作用，其影响变得更加显著。 此外，我们证明了尽管基于eikonal的框架忽略了其他类型的机械-电反馈，但它以显著低于单域驱动模型的计算成本有效地捕捉了机械-钙反馈的作用，这增强了其在计算心脏病学中的实用性。 显示英文摘要

摘要： Multiphysics and multiscale mathematical models enable the non-invasive study of cardiac function. These models often rely on simplifying assumptions that neglect certain biophysical processes to balance fidelity and computational cost. In this work, we propose an eikonal-based framework that incorporates mechano-calcium feedback -- the effect of mechanical deformation on calcium-troponin buffering -- while introducing only negligible computational overhead. To assess the impact of mechano-calcium feedback at the organ level, we develop a bidirectionally coupled cellular electromechanical model and integrate it into two cardiac multiscale frameworks: a monodomain-driven model that accounts for geometric feedback on electrophysiology and the proposed eikonal-based approach, which instead neglects geometric feedback. By ensuring consistent cellular model calibration across all scenarios, we isolate the role of mechano-calcium feedback and systematically compare its effects against models without it. Our results indicate that, under baseline conditions, mechano-calcium feedback has minimal influence on overall cardiac function. However, its effects become more pronounced in altered force generation scenarios, such as inotropic modulation. Furthermore, we demonstrate that the eikonal-based framework, despite omitting other types of mechano-electric feedback, effectively captures the role of mechano-calcium feedback at significantly lower computational costs than the monodomain-driven model, reinforcing its utility in computational cardiology.