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arXiv · 2609.15243

A mathematical model for irreversible damage of the collagen scaffold in the myocardium

Irena Radišić·Francesco Regazzoni·Luca Dede'·Alfio Quarteroni
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Abstract

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.

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Irena Radišić, Francesco Regazzoni, Luca Dede', Alfio Quarteroni. 2026-09-21. A mathematical model for irreversible damage of the collagen scaffold in the myocardium. https://arxiv.org/abs/2609.15243

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