Mixed formulations for stress-assisted diffusion problems in cardiac biomechanics

Alessio Gizzi, Adrienne Propp, Ricardo Ruiz Baier

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearch

Abstract

We propose and analyse the properties of a new class of models for the electromechanics of the cardiac tissue. The set of governing equations consists of nonlinear elasticity using an orthotropic exponential constitutive law coupled with a four-variable phenomenological model for human action potential. The conductivities in the model of electric propagation are modified according to stress, inducing an additional degree of nonlinearity and anisotropy in the coupling mechanisms; and the activation model assumes a simplified stretch-calcium interaction generating active tension. The influence of the new terms in the electromechanical model is evaluated through a sensitivity analysis, and we provide numerical validation through a set of computational tests using a novel mixed-primal finite element scheme.
Original languageEnglish
Title of host publicationICNumACA'18
Subtitle of host publicationProceedings of the International Conference on Numerical Analysis, Computing and Applications
EditorsM Mallayya
Pages1-18
Number of pages18
Publication statusPublished - 2018
Externally publishedYes

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