Cut Finite Element Discretizations of Cell-by-Cell EMI Electrophysiology Models

Berre, Nanna; Rognes, Marie E.; Massing, André

doi:10.1137/23m1580632

SIAM J. Sci. Comput.

2024

DOI: 10.1137/23m1580632

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Cut Finite Element Discretizations of Cell-by-Cell EMI Electrophysiology Models

Nanna Berre,

Marie E. Rognes,

André Massing

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Evaluating computational efforts and physiological resolution of mathematical models of cardiac tissue

Jæger,

Trotter,

Cai

et al. 2024

Sci Rep

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Computational techniques have significantly advanced our understanding of cardiac electrophysiology, yet they have predominantly concentrated on averaged models that do not represent the intricate dynamics near individual cardiomyocytes. Recently, accurate models representing individual cells have gained popularity, enabling analysis of the electrophysiology at the micrometer level. Here, we evaluate five mathematical models to determine their computational efficiency and physiological fidelity. Our findings reveal that cell-based models introduced in recent literature offer both efficiency and precision for simulating small tissue samples (comprising thousands of cardiomyocytes). Conversely, the traditional bidomain model and its simplified counterpart, the monodomain model, are more appropriate for larger tissue masses (encompassing millions to billions of cardiomyocytes). For simulations requiring detailed parameter variations along individual cell membranes, the EMI model emerges as the only viable choice. This model distinctively accounts for the extracellular (E), membrane (M), and intracellular (I) spaces, providing a comprehensive framework for detailed studies. Nonetheless, the EMI model’s applicability to large-scale tissues is limited by its substantial computational demands for subcellular resolution.

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Evaluating computational efforts and physiological resolution of mathematical models of cardiac tissue

Jæger,

Trotter,

Cai

et al. 2024

Sci Rep

View full text Add to dashboard Cite

show abstract

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Cut Finite Element Discretizations of Cell-by-Cell EMI Electrophysiology Models

Cited by 1 publication

References 55 publications

Evaluating computational efforts and physiological resolution of mathematical models of cardiac tissue

Evaluating computational efforts and physiological resolution of mathematical models of cardiac tissue

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