Le Saux, M. Loup (2024) A mathematical model of cardiac contractility and its numerical approximation PRE - Research Project, ENSTA.

[img]PDF
Restricted to Registered users only

1490Kb

Abstract

The modeling of cardiac muscle is a crucial issue. Different models describe its residual active behavior; one approach decomposes the deformation tensor into active and passive elastic contributions, while another decomposes the muscle into two solid phases, with only one actively contributing. We propose a continuum model of the myocardium based on the mixed active strain approach, synthesizing the two previous methods. The Coleman-Noll procedure shed lights on the law governing the temporal evolution of the active strain parameter. A qualitative study, under the incompressible assumption, proves the existence of equilibria solutions. Finally, we perform a numerical simulation of the approximated model, with parameters optimized using experimental data. Our results demonstrate the relatively realistic and thermodynamically consistent descriptive capability of the proposed model, whose physical significance remains accessible and interpretable.

Item Type:Thesis (PRE - Research Project)
Uncontrolled Keywords:Myocardial contractility, mixture active strain, hyperelasticity, continuum mechanics, finite element simulation.
Subjects:Mathematics and Applications
Materials Science, Mechanics and Mechanical Engineering
Life Sciences and Engineering
ID Code:10050
Deposited By:Loup LE SAUX
Deposited On:02 sept. 2024 14:47
Dernière modification:02 sept. 2024 14:47

Repository Staff Only: item control page