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A segregated finite element method for cardiac elastodynamics in a fully coupled human heart model

Fröhlich, Jonathan Samuel 1
1 Institut für Angewandte und Numerische Mathematik (IANM), Karlsruher Institut für Technologie (KIT)

Abstract (englisch):

One key characterstic of the cardiac function is its complexity, i.e., the multitude of different phenomena acting on various temporal and spatial scales interacting with each other. Over the past decades, many models varying in complexity describing these interactions were presented and are used in current research. Despite the incredible progress made in describing and simulating cardiac function, most of the more detailed models are not properly embedded within mathematical theory.

This work aims to give a precise and comprehensive mathematical formulation
of coupled cardiac elastodynamics, including electrophysiology, elasticity and physiological boundary conditions developed in recent years. Focussing on the analysis of dynamic elasticity, the concept of anisotropy is applied to common cardiac tissue models, such as the models of Guccione et al. and Holzapfel and Ogden. Frequently used modeling approaches, such as incompressibility and the active strain decomposition, are integrated in one overarching framework, allowing for propositions on polyconvexity of the materials and solvability of the elastic system. The equations of elastodynamics are then complemented by the monodomain equations, describing the propagation of the excitation potential in cardiac tissue, and a surrogate model to simulate cardiovascular blood pressure. ... mehr


Volltext §
DOI: 10.5445/IR/1000150230
Veröffentlicht am 05.09.2022
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Institut für Biomedizinische Technik (IBT)
Publikationstyp Hochschulschrift
Publikationsdatum 05.09.2022
Sprache Englisch
Identifikator KITopen-ID: 1000150230
Verlag Karlsruher Institut für Technologie (KIT)
Umfang 164 S.
Art der Arbeit Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Angewandte und Numerische Mathematik (IANM)
Prüfungsdatum 16.03.2022
Schlagwörter cardiac modeling, cardiac coupling, computational modeling, elasto-dynamics, finite element methods
Referent/Betreuer Wieners, Christian
Dössel, Olaf
Loewe, Axel
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