An orthotropic electro-viscoelastic model for the heart with stress-assisted diffusion
| Autor: | Alessio Gizzi, Ricardo Ruiz-Baier, Francesc Levrero-Florencio, Adrienne Propp |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Constitutive equation
Action Potentials Cardiac electromechanics 02 engineering and technology Orthotropic material 01 natural sciences Stress-assisted diffusion Diffusion Viscoelastic response Phenomenological model Tissues and Organs (q-bio.TO) Electromechanics Viscosity Models Cardiovascular Heart 92C10 Mechanics Numerical Analysis (math.NA) Finite element method 010101 applied mathematics Modeling and Simulation Calibration Orthotropic nonlinear elasticity 74S05 Biotechnology 65M60 Materials science 65M60 92C10 74S05 74F99 74D10 0206 medical engineering 74F99 Viscoelasticity Stress (mechanics) Mixed-primal finite element method Heart Conduction System FOS: Mathematics Humans Mathematics - Numerical Analysis 0101 mathematics Original Paper business.industry Mechanical Engineering Numerical Analysis Computer-Assisted Quantitative Biology - Tissues and Organs 020601 biomedical engineering Elasticity Kirchhoff stress formulation 74D10 Nonlinear system FOS: Biological sciences Stress Mechanical business |
| Zdroj: | Biomechanics and Modeling in Mechanobiology |
| Popis: | We propose and analyse the properties of a new class of models for the electromechanics of cardiac tissue. The set of governing equations consists of nonlinear elasticity using a viscoelastic and orthotropic exponential constitutive law, for both active stress and active strain formulations of active mechanics, coupled with a four-variable phenomenological model for human cardiac cell electrophysiology, which produces an accurate description of the 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 or active strain. 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. |
| Databáze: | OpenAIRE |
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