An Extended Generalized Hill Model for Cardiac Tissue: Comparison with Different Approaches Based on Experimental Data

Ogiermann, Dennis; Balzani, Daniel; Perotti, Luigi E.

doi:10.1007/978-3-031-35302-4_57

Cited by 1 publication

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“…Then, the following mechanical properties are investigated: In the first numerical experiment, we test the convergence of the initial configuration of the cardiac cycle, where the blood pressure in the ventricles results into a finite elasticity problem with nonlinear Neumann boundary conditions. Then, we transfer the setting from the benchmark problem proposed by Land et al [21], that is, from a simple ellipsoid, to a more realistic biventricular configuration. Here, we compare the active strain and active stress approaches for the contraction of the heart muscle [1, 2, 28, 29, 36]. We are interested in determining whether there are substantial differences between the two active deformation approaches or if similar results can be achieved. For the dynamic electro‐mechanical model, we compare numerical damping by the Newmark time‐stepping scheme with a physical model using Rayleigh damping.…”

Section: Introductionmentioning

confidence: 99%

Numerical evaluation of elasto‐mechanical and visco‐elastic electro‐mechanical models of the human heart

Fröhlich,

Gerach,

Krauß

et al. 2023

GAMM-Mitteilungen

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We investigate the properties of static mechanical and dynamic electro‐mechanical models for the deformation of the human heart. Numerically this is realized by a staggered scheme for the coupled partial/ordinary differential equation (PDE‐ODE) system. First, we consider a static and purely mechanical benchmark configuration on a realistic geometry of the human ventricles. Using a penalty term for quasi‐incompressibility, we test different parameters and mesh sizes and observe that this approach is not sufficient for lowest order conforming finite elements. Then, we compare the approaches of active stress and active strain for cardiac muscle contraction. Finally, we compare in a coupled anatomically realistic electro‐mechanical model numerical Newmark damping with a visco‐elastic model using Rayleigh damping. Nonphysiological oscillations can be better mitigated using viscosity.

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