A new MOX Report entitled “A mathematical model for irreversible damage of the collagen scaffold in the myocardium” by Radisic, I.; Regazzoni, F.; Dede’, L.; Quarteroni, A. has appeared in the MOX Report Collection.
Check it out here: https://www.mate.polimi.it/biblioteca/add/qmox/71-2026.pdf
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. The computational results obtained with our novel mathematical model 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. Our model and resu! lts suppo rt the evidence that passive load-dependent dissipative phenomena are implicated in post-infarction remodelling.
