A space-fractional monodomain model for cardiac electrophysiology combining anisotropy and heterogeneity on realistic geometries

DOI10.1016/j.jcp.2018.02.034zbMath1390.92037OpenAlexW2764223526WikidataQ130200786 ScholiaQ130200786MaRDI QIDQ1640888

Nicole Cusimano, Luca Gerardo-Giorda

Publication date: 14 June 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11824/738

zbMATH Keywords

finite elementsfractional operatorscardiac electrophysiology

Mathematics Subject Classification ID

Physiology (general) (92C30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)

Related Items (8)

A ghost structure finite difference method for a fractional Fitzhugh-Nagumo monodomain model on moving irregular domain ⋮ Numerical approximations for fractional elliptic equationsviathe method of semigroups ⋮ A fast time integral finite difference method for a space-time fractional FitzHugh-Nagumo monodomain model in irregular domains ⋮ Complex-order fractional diffusion in reaction-diffusion systems ⋮ Key aspects for effective mathematical modelling of fractional-diffusion in cardiac electrophysiology: a quantitative study ⋮ Machine learning in drug development: characterizing the effect of 30 drugs on the QT interval using Gaussian process regression, sensitivity analysis, and uncertainty quantification ⋮ Inverse source in two-parameter anomalous diffusion, numerical algorithms, and simulations over graded time meshes ⋮ Mixed convection magnetohydrodynamics flow of a nanofluid with heat transfer: a numerical study

Uses Software

• Schwarz-Christoffel

Cites Work

• Unnamed Item
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• Computational cardiology. Modeling of anatomy, electrophysiology, and mechanics.
• A mathematical model of the Purkinje-Muscle junctions
• Simulating patterns of excitation, repolarization and action potential duration with cardiac bidomain and monodomain models
• A hybrid multilevel Schwarz method for the bidomain model
• Optimized Schwarz Methods for the Bidomain system in electrocardiology
• An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
• Computing $A^\alpha, \log(A)$, and Related Matrix Functions by Contour Integrals
• Multilevel Additive Schwarz Preconditioners for the Bidomain Reaction-Diffusion System
• A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY
• Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations
• Algorithm 843

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