SPP2311

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Efficient and robust coupling methods for electro-mechanic models of the human heart

PIs: Christian Wieners, Axel Loewe

Aim:

This project aims to extend the limits of multi-physics simulations of the human heart by developing and evaluating robust coupling schemes for models of the cardiac electro-mechanical system with high biophysical accuracy across multiple scales and dimensions. By combining our profound interdisciplinary experience in modeling each of the cardiac physical systems separately with our preliminary work in coupling them, we are well positioned to construct and analyze an efficient and accurate parallel finiteelement realization of the fully coupled system.

As specific goals, we will develop and provide
(1) a formulation for a robustly coupled model for the whole heart comprising active electrophysiology, cardiac mechanics and circulatory function;
2) an efficient and scalable numerical implementation of this model and a comprehensive convergence analysis of the approximations in space and time;
(3) a user-friendly integration of the fully coupled model into the established openCARP simulation framework to foster community adoption of this research tool and pave the way for clinical translation.

Description:

Our multi-physics model consists of several model components that describe the electromechanical contraction of the heart at different spatial scales. Ion concentrations within the cell are modeled via ion channels of the cardiomyocyte cell membrane. Based on the resulting calcium concentration, a contraction force is obtained using a sarcomere model. The activation of the myocardium is based on the electrical propagation across the organ, which – like the deformation of the heart – is calculated using the finite element method. A circulatory model is coupled to the deformation of the heart via the volumes and pressures of the atria and ventricles.
Building on our current work, we will further develop our multi-physics model by extending it with stable and efficient implicit-explicit time integration and finite element formulations and making the fully coupled system scalable. Subsequently, we will use this advanced model to study the effects of local electrical dyssynchrony and the application of cardiac resynchronization therapy in collaboration with our clinical partners. In addition, we will identify application scenarios where the highly complex full model can be reduced and quantify the resulting uncertainty.

Involved Institutions:

Karlsruhe Institute of Technology
Institute of Biomedical Engineering
Computational Cardiac Modeling

Karlsruhe Institute of Technology
Institute for Applied and Numerical Mathematics
Scientific Computing

Applicants:

Prof. Dr. Christian Wieners

Prof. Dr. Christian Wieners

Institute for Applied and Numerical Mathematics (IANM), Karlsruhe Institute of Technology (KIT)
PD Dr.-Ing. Axel Loewe

PD Dr.-Ing. Axel Loewe

Institute of Biomedical Engineering (IBT), Karlsruhe Institute of Technology (KIT)
M. Sc. Laura Stengel

M. Sc. Laura Stengel

Institute for Applied and Numerical Mathematics (IANM), Karlsruhe Institute of Technology (KIT)
M. Sc. Jonathan Krauß

M. Sc. Jonathan Krauß

Institute of Biomedical Engineering (IBT), Karlsruhe Institute of Technology (KIT)

Publications

2024

Gerach, Tobias; Loewe, Axel

Differential effects of mechano-electric feedback mechanisms on whole-heart activation, repolarization, and tension Artikel

In: The Journal of Physiology, 2024.

Abstract | Links | BibTeX

Fröhlich, Jonathan; Gerach, Tobias; Krauß, Jonathan; Loewe, Axel; Stengel, Laura; Wieners, Christian

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

In: GAMM Mitteilungen, Bd. 46, Ausg. 2, 2024, ISSN: 1522-2608.

Abstract | Links | BibTeX