Linear algebraic transformations of the bidomain equations: Implications for numerical methods

DOI10.1016/0025-5564(94)90049-3zbMath0799.92001OpenAlexW2031652749WikidataQ52378823 ScholiaQ52378823MaRDI QIDQ1325033

N. Hooke, Donald J. Rose, Paul J. Lanzkron, Craig S. Henriquez

Publication date: 7 July 1994

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(94)90049-3

zbMATH Keywords

boundary conditionsconstraintslinear operatorstransmembrane potentialbidomain equationsalgebraic transformationsmembrane ionic currentspropagation in cardiac tissue

Mathematics Subject Classification ID

Biological applications of optics and electromagnetic theory (78A70) Biophysics (92C05) Physiology (general) (92C30) Applications to the sciences (65Z05) Computational methods for problems pertaining to biology (92-08) Numerical linear algebra (65F99)

Related Items (8)

Towards accurate numerical method for monodomain models using a realistic heart geometry ⋮ A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY ⋮ Substructuring preconditioners for mortar discretization of a degenerate evolution problem ⋮ A numerical method for the solution of the bidomain equations in cardiac tissue ⋮ Decoupled time-marching schemes in computational cardiac electrophysiology and ECG numerical simulation ⋮ Algebraic multigrid preconditioners for the bidomain reaction-diffusion system ⋮ Gating-enhanced IMEX splitting methods for cardiac monodomain simulation ⋮ Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process

Uses Software

• Wesseling

Cites Work

• Wavefront propagation in an activation model of the anisotropic cardiac tissue: Asymptotic analysis and numerical simulations
• Differential/Algebraic Equations are not ODE’<scp>s</scp>
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