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The results of a simulation study of the action potential duration (APD) distribution and T-wave morphology taking into account the midmyocardial cells (M-cells) concept are described. To investigate the effect of M-cells we present a…

Medical Physics · Physics 2019-07-23 Elena Ryzhii , Maxim Ryzhii , Daming Wei

The T-wave of an electrocardiogram (ECG) represents the ventricular repolarization that is critical in restoration of the heart muscle to a pre-contractile state prior to the next beat. Alterations in the T-wave reflect various cardiac…

Applications · Statistics 2010-09-30 Yingchun Zhou , Nell Sedransk

We study, by means of the periodic unfolding technique, the homogenization of a modified bidomain model, which describes the propagation of the action potential in the cardiac electrophysiology. Such a model, allowing the presence of…

Analysis of PDEs · Mathematics 2021-01-25 Micol Amar , Daniele Andreucci , Claudia Timofte

This work reports the results of the theoretical investigation of nonlinear dynamics and spiral wave breakup in a generalized two-variable model of cardiac action potential accounting for thermo-electric coupling and diffusion…

Tissues and Organs · Quantitative Biology 2018-11-07 A. Gizzi , A. Loppini , R. Ruiz-Baier , A. Ippolito , A. Camassa , A. La Camera , E. Emmi , L. Di Perna , V. Garofalo , C. Cherubini , S. Filippi

We report three-dimensional and time-dependent numerical simulations of the propagation of electrical action potentials in a model of rabbit ventricular tissue. The simulations are performed using a finite-element method for the solution of…

Quantitative Methods · Quantitative Biology 2021-05-20 Peter Mortensen , Muhamad H. N. Aziz , Hao Gao , Radostin D. Simitev

We aim to understand the formation of abnormal waves of activity from myocardial regions with diminished cell-to-cell coupling. In route to this goal, we studied the behavior of a heterogeneous myocyte network in which a sharp coupling…

Tissues and Organs · Quantitative Biology 2009-11-13 V. N. Biktashev , A. Arutunyan , N. A. Sarvazyan

In standard models of cardiac electrophysiology, including the bidomain and monodomain models, local perturbations can propagate at infinite speed. We address this unrealistic property by developing a hyperbolic bidomain model that is based…

Numerical Analysis · Mathematics 2017-10-11 Simone Rossi , Boyce E. Griffith

We study the interplay between traveling action potentials and spatial inhomogeneities in the FitzHugh-Nagumo model to investigate possible mechanisms for the occurrence of fibrillatory states in the atria of the heart. Different dynamical…

Biological Physics · Physics 2010-04-07 Claudia Lenk , Mario Einax , Philipp Maass

On the basis of a quite realistic ionic Fenton--Karma model of the cardiac tissue we consider the problem of defibrillation by a local weak forcing. In contrast to other systems, this model accurately reproduces the most essential…

Chaotic Dynamics · Physics 2007-05-23 Ekaterina Zhuchkova , Boris Radnaev , Alexander Loskutov

SUMMARY This work aims at quantifying the effect of inherent uncertainties from cardiac output on the sensitivity of a human compliant arterial network response based on stochastic simulations of a reduced-order pulse wave propagation…

Numerical Analysis · Mathematics 2016-06-22 A Brault , L Dumas , D Lucor

Spatial variations in the electrical properties of cardiac tissue can occur because of cardiac diseases. We introduce such gradients into mathematical models for cardiac tissue and then study, by extensive numerical simulations, their…

Biological Physics · Physics 2018-07-13 Soling Zimik , Rupamanjari Majumder , Rahul Pandit

In this study we present a novel computational model for unprecedented simulations of the whole cardiac electrophysiology. According to the heterogeneous electrophysiologic properties of the heart, the whole cardiac geometry is decomposed…

Medical Physics · Physics 2022-03-14 Giulio Del Corso , Roberto Verzicco , Francesco Viola

The heartbeat is mediated between cardiac cells by waves of electrical depolarisation. During cardiac arrhythmias, electrical activity was found to be organised in scroll waves which rotate around a dynamical filament curve. In this thesis,…

Biological Physics · Physics 2015-11-13 Hans J. F. M. Dierckx

The inverse mechano-electrical problem in cardiac electrophysiology is the attempt to reconstruct electrical excitation or action potential wave patterns from the heart's mechanical deformation that occurs in response to electrical…

Image and Video Processing · Electrical Eng. & Systems 2021-11-10 Jan Christoph , Jan Lebert

We demonstrate that our recently developed theory of electric field wave propagation in anisotropic and inhomogeneous brain tissues, which has been shown to explain a broad range of observed coherent synchronous brain electrical processes,…

Biological Physics · Physics 2024-03-27 Vitaly L. Galinsky , Lawrence R. Frank

As the heart beats, it creates fluctuation in blood pressure leading to a pulse wave that propagates by displacing the arterial wall. These waves travel through the arterial tree and carry information about the medium that they propagate…

Fluid Dynamics · Physics 2018-03-12 Peshala P. T Gamage , Fardin Khalili , Hansen A Mansy

Some mechanisms of cardiac arrhythmias can be presented as a composition of elementary acts of block and reflection on the contacts of homogeneous areas of the conducting tissue. For study this phenomena we use an axiomatic one-dimensional…

Other Quantitative Biology · Quantitative Biology 2021-07-06 Sergii Kovalchuk

The electrical coupling between myocytes and fibroblasts and the spacial distribution of fibroblasts within myocardial tissues are significant factors in triggering and sustaining cardiac arrhythmias but their roles are poorly understood.…

Tissues and Organs · Quantitative Biology 2021-05-11 Peter Mortensen , Hao Gao , Godfrey Smith , Radostin D. Simitev

Electrical communication between cardiomyocytes can be perturbed during arrhythmia, but these perturbations are not captured by conventional electrocardiographic metrics. We developed a theoretical framework to quantify electrical…

To provide a unified theoretical framework ranging from a cellular-level excitation mechanism to organic-level geometric propagation, a new theory inspired by quantum electrodynamic theory for light propagation is proposed by describing the…

General Physics · Physics 2013-10-14 Sehun Chun
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