心肌中胶原蛋白支架不可逆损伤的数学模型
A mathematical model for irreversible damage of the collagen scaffold in the myocardium
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中文总结 AI 辅助
该研究提出一个基于变分原理的耗散不可逆损伤模型，模拟心肌梗死后胶原支架损伤，并通过左心室机电耦合模拟验证了载荷重分布导致损伤的机制。
中文摘要 AI 辅助
我们提出一个用于大变形下各向异性介质的耗散、不可逆损伤模型，以解决心肌梗死后心肌的损伤过程。我们将胶原蛋白在解理面上的损伤建模为被动组织承受增加载荷的结果。从变分原理出发，我们推导出一个拟静态微分模型，该模型控制损伤的不可逆演化。我们将该模型应用于两个测试案例。首先，一个矩形被动板几何体，对其施加类似压痕的载荷。然后，我们将我们的模型与用于左心室机电学数值模拟的模型耦合。我们的结果表明，心肌梗死后左心室内发生的载荷重新分布可以产生梗死区域胶原蛋白支架的损伤，这与实验结果一致。这表明被动载荷依赖的耗散现象参与了梗死后重构。
英文摘要
We propose a dissipative, irreversible damage model for anisotropic media in large deformations to address the damage process of the myocardium following a cardiac infarction. We model damage to the collagen in the cleavage planes resulting from an increased load to the passive tissue. Starting from variational principles, we derive a quasi-static differential model governing the irreversible evolution of the damage. We apply our model to two test cases. First, a rectangular passive slab geometry to which an indenter-like load is applied. Then, we couple our model with a model for the numerical simulation of left ventricular electromechanics. Our results show that a redistribution of the load within a left ventricle occurring following a cardiac infarction can produce the damage to the collagen scaffold in the infarcted area consistent with experimental results. This is indicative of the fact that passive load-dependent dissipative phenomena are implicated in post-infarction remodelling.
发表机构
- Politecnico di Milano（米兰理工大学）
- École Polytechnique Fédérale de Lausanne（洛桑联邦理工学院）
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