Recent Numerical Methods in Electrocardiology

Belhamadia, Youssef

doi:10.5772/7619

Cited by 2 publications

(2 citation statements)

References 24 publications

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“…The model is the generalization of one dimensional cable theory (Boyett et., al 1997) and it is also known as continuum models. Every muscles of the myocardium lies in the intracellular and the extracellular domains (Belhamadia 2010) and (Keener and Sneydb 1998). This model takes into consideration the different electrical conductivities of the Intracellular and Extracellular spaces using the myocardial fibre as a reference point, their conductivities in the direction parallel to this fibre are always in the perpendicular direction to the myocardial fibres.…”

Section: Bidomain Modelmentioning

confidence: 99%

Mathematical Analysis of Electrophysiological Cardiac Tissue Membrane Models

Ojimadu¹,

Oluwole²,

Olasupo³

et al. 2022

FJS

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This paper presents some cardiac electrophysiological models. Proper mathematical analysis was done on the proposed models. In the cause of the analysis, several assumptions were made which helped in providing a parallel platform for making qualitative solutions so as to reduce any form of bias. Graphical analysis was adopted in solving the cardiac electrophysiological models using conservation and dispersions equations. The results obtained were derived from computer simulation by observing ring lengths on a valid restitution curve. The restitution curves helps us to subject three different turns of ring lengths and certain observations were made on the behavior of the three ring lengths. An increase in ring length will cause a corresponding increase in blood circulation and vice versa. It was suggested that 2D or 3D computer simulation should be adopted for better performance and yield of the models

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Section: Bidomain Modelmentioning

confidence: 99%

Mathematical Analysis of Electrophysiological Cardiac Tissue Membrane Models

Ojimadu¹,

Oluwole²,

Olasupo³

et al. 2022

FJS

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“…This model consists of a single non-linear partial differential equation coupled with the same system of ordinary differential equations for the ionic currents. Although, it has been reported that the central processing unit requirements are reduced when simplifying the bidomain model to a monodomain model, but both models still encounter computational difficulties because of the need for fine meshes and small time-steps [13]. To lessen the computational requirements of the bidomain model, the present work takes advantage of discrete simplification of the model where the cardiac tissue is represented by interconnected network of cells, each individually described by a given system of ionic model.…”

Section: Introductionmentioning

confidence: 99%

Dynamical modelling of cardiac electrical activity using bidomain approach: The effects of variation of ionic model parameters

Ibrahim¹,

Adediji²,

Dada³

2013

JBiSE

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This work presents the dynamical modelling of cardiac electrical activity using bidomain approach. It focuses on the effects of variation of the ionic model parameters on cardiac wave propagation. Cardiac electrical activity is governed by partial differential equations coupled to a system of ordinary differential equations. Numerical simulation of these equations is computationally expensive due to their non-linearity and stiffness. Nevertheless, we adopted the bidomain model due to its ability to reflect the actual cardiac wave propagation. The derived bidomain equations coupled with FitzHugh-Nagumo’s ionic equations were time-discretized using explicit forward Euler method and space-discretized using 2-D network modelling to obtain linearized equations for transmembrane potential V_m, extracellular potential φ_e and gating variable w. We implemented the discretized model and performed simulation experiments to study the effects of variation of ionic model parameters on the propagation of electrical wave across the cardiac tissue. Time characteristic of transmembrane potential, V_m, in the normal cardiac tissue was obtained by setting the values of ionic model parameters to 0.2, 0.2, 0.7 and 0.8 for excitation rate constant ε₁, recovery rate constant ε₂, recovery decay constant γ and excitation decay constant β respectively. Changing the values of ε₁,

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Recent Numerical Methods in Electrocardiology

Cited by 2 publications

References 24 publications

Mathematical Analysis of Electrophysiological Cardiac Tissue Membrane Models

Mathematical Analysis of Electrophysiological Cardiac Tissue Membrane Models

Dynamical modelling of cardiac electrical activity using bidomain approach: The effects of variation of ionic model parameters

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