Mixed formulations for stress-assisted diffusion problems in cardiac biomechanics

Alessio Gizzi; Adrienne Propp; Ricardo Ruiz Baier

Mixed formulations for stress-assisted diffusion problems in cardiac biomechanics

Alessio Gizzi
, Adrienne Propp
, Ricardo Ruiz Baier

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

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 language	English
Title of host publication	ICNumACA'18
Subtitle of host publication	Proceedings of the International Conference on Numerical Analysis, Computing and Applications
Editors	M Mallayya
Pages	1-18
Number of pages	18
Publication status	Published - 2018
Externally published	Yes

Cite this

@inproceedings{4808dfdb115a4bc3ae37c88a4a92bd20,

title = "Mixed formulations for stress-assisted diffusion problems in cardiac biomechanics",

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.",

author = "Alessio Gizzi and Adrienne Propp and \{Ruiz Baier\}, Ricardo",

year = "2018",

language = "English",

pages = "1--18",

editor = "M Mallayya",

booktitle = "ICNumACA'18",

}

Mixed formulations for stress-assisted diffusion problems in cardiac biomechanics. / Gizzi, Alessio; Propp, Adrienne; Ruiz Baier, Ricardo.
ICNumACA'18: Proceedings of the International Conference on Numerical Analysis, Computing and Applications. ed. / M Mallayya. 2018. p. 1-18.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

TY - GEN

T1 - Mixed formulations for stress-assisted diffusion problems in cardiac biomechanics

AU - Gizzi, Alessio

AU - Propp, Adrienne

AU - Ruiz Baier, Ricardo

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

M3 - Conference Paper

SP - 1

EP - 18

BT - ICNumACA'18

A2 - Mallayya, M

ER -