Modelling heart tissue using a composite muscle model with blood perfusion

Cimrman, Robert; Rohan, Eduard

doi:10.1016/b978-008044046-0.50400-0

Cited by 5 publications

(2 citation statements)

References 2 publications

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“…• complete validation and calibration of the model, • mathematical analysis of the model, • data assimilation in 3D with real data, see [48], • modeling of blood perfusion in the muscle, see [9].…”

Section: Discussionmentioning

confidence: 99%

Modeling and estimation of the cardiac electromechanical activity

Sainte-Marie

Chapelle

Cimrman

et al. 2006

Computers & Structures

144

125

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We describe an approach that we propose to model the electromechanical behavior of the heart, and to use the model in a data assimilation procedure in order to perform an identification of the parameters and state. The modeling of the heart tissue is based on an electrically activated contraction law formulated via multiscale considerations and is consistent with various physiological and thermomechanical key requirements. The global heart system also incorporates a simplified lumped modeling of the blood compartments. We report on numerical simulations and on validations of our model in reference and pathological conditions. Furthermore, the data assimilation procedure is intended to give access to quantities of interest for diagnosis purposes, and we present some promising results in this direction.

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Section: Discussionmentioning

confidence: 99%

Modeling and estimation of the cardiac electromechanical activity

Sainte-Marie

Chapelle

Cimrman

et al. 2006

Computers & Structures

144

125

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“…to model blood vessel walls [13], with some extensions including lipid (LDL) [14] and drug [15,16] transport. Other formulations have been proposed with multiple fluid compartments-or a continuum of such compartments-coupled with each other and with the solid medium [17][18][19], and with applications to the modeling of living tissues [20], but of course such models are extremely difficult to validate with experimental evidence in practice.…”

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confidence: 99%

A poroelastic model valid in large strains with applications to perfusion in cardiac modeling

et al. 2009

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International audienceThis paper is motivated by the modeling of blood flows through the beating myocardium, namely cardiac perfusion. As in other works, perfusion is modeled here as a flow through a poroelastic medium. The main contribution of this study is the derivation of a general poroelastic model valid for a nearly incompressible medium which experiences finite deformations. A numerical procedure is proposed to iteratively solve the porous flow and the nonlinear poroviscoelastic problems. Three-dimensional numerical experiments are presented to illustrate the model. The first test cases consist of typical poroelastic configurations: swelling and complete drainage. Finally, a simulation of cardiac perfusion is presented in an idealized left ventricle embedded with active fibers. Results show the complex temporal and spatial interactions of the muscle and blood, reproducing several key phenomena observed in cardiac perfusion

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A hybrid biphasic mixture formulation for modeling dynamics in porous deformable biological tissues

Shim

Ateshian

2021

Arch Appl Mech

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Modelling heart tissue using a composite muscle model with blood perfusion

Cited by 5 publications

References 2 publications

Modeling and estimation of the cardiac electromechanical activity

Modeling and estimation of the cardiac electromechanical activity

A poroelastic model valid in large strains with applications to perfusion in cardiac modeling

A hybrid biphasic mixture formulation for modeling dynamics in porous deformable biological tissues

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