A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY (Q5315606)

scientific article; zbMATH DE number 2203905

Language	Label	Description	Also known as
English	A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY	scientific article; zbMATH DE number 2203905

Statements

instance of

scholarly article

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title

A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY (English)

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9 September 2005

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describes a project that uses

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Implicit-Explicit Methods for Time-Dependent Partial Differential Equations

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Q3738973

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Spreading of excitation in 3-D models of the anisotropic cardiac tissues. I: Validation of the eikonal model

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Spread of excitation in 3-D models of the anisotropic cardiac tissue. II: Effects of fiber architecture and ventricular geometry

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Spread of excitation in 3-D models of the anisotropic cardiac tissue. III: Effects of ventricular geometry and fiber structure on the potential distribution

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Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation

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

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An eikonal-curvature equation for action potential propagation in myocardium

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A numerical method for the solution of the bidomain equations in cardiac tissue

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Mathematical physiology

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An Adaptive Finite Element Method for Parabolic Differential Systems: Some Algorithmic Considerations in Solving in Three Space Dimensions

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Computer modeling in cardiac electrophysiology. (Mini review)

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Spiral breakup as a model of ventricular fibrillation

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Q4338961

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Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process

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Fiber architecture of the left ventricular wall: An asymptotic analysis

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Q4303980

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Filament instability and rotational tissue anisotropy: a numerical study using detailed cardiac models

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How the anisotropy of the intracellular and extracellular conductivities influences stimulation of cardiac muscle

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Convergence of the Galerkin approximation of a degenerate evolution problem in electrocardiology

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Q4716273

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Efficient solution of ordinary differential equations modeling electrical activity in cardiac cells

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Computer simulations of cardiac defibrillation: a look inside the heart

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Stable Particle-Like Solutions to the Nonlinear Wave Equations of Three-Dimensional Excitable Media

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Solving parabolic problems with different time steps in different regions in space based on domain decomposition methods

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A local space-time adaptive scheme in solving two-dimensional parabolic problems based on domain decomposition methods

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full work available at URL

https://doi.org/10.1142/s0218202504003489

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published in

M\(^3\)AS. Mathematical Models \& Methods in Applied Sciences

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Identifiers

zbMATH Open document ID

1068.92024

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DOI

10.1142/S0218202504003489

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5315606