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Effect of fibre orientation and bulk modulus on the electromechanical modelling of human ventricles

Azzolin, Luca; Dedè, Luca; Gerbi, Antonello; Quarteroni, Alfio

This work concerns the mathematical and numerical modeling of the heart. The aim is to enhance the understanding of the cardiac function in both physiological and pathological conditions. Along this road, a challenge arises from the multi-scale and multi-physics nature of the mathematical problem at hand. In this paper, we propose an electromechanical model that, in bi-ventricle geometries, combines the monodomain equation, the Bueno-Orovio minimal ionic model, and the Holzapfel-Ogden strain energy function for the passive myocardial tissue modelling together with the active strain approach combined with a model for the transmurally heterogeneous thickening of the myocardium. Since the distribution of the electric signal is dependent on the fibres orientation of the ventricles, we use a Laplace-Dirichlet Rule-Based algorithm to determine the myocardial fibres and sheets configuration in the whole bi-ventricle. In this paper, we study the influence of different fibre directions and incompressibility constraint and penalization on the compressibility of the material (bulk modulus) on the pressure-volume relation simulating a full heart beat. ... mehr

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Verlagsausgabe §
DOI: 10.5445/IR/1000130129
Veröffentlicht am 26.02.2021
DOI: 10.3934/mine.2020028
Web of Science
Zitationen: 1
Zitationen: 1
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Biomedizinische Technik (IBT)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2020
Sprache Englisch
Identifikator ISSN: 2640-3501
KITopen-ID: 1000130129
Erschienen in Mathematics in engineering
Verlag AIMS Press
Band 2
Heft 4
Seiten 614–638
Schlagwörter heart modelling, coupled problem, electromechanics, finite element method, ventricles, fibre orientation
Nachgewiesen in Dimensions
Web of Science
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