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Complex spatiotemporal patterns of action potential duration have been shown to occur in many mammalian hearts due to a period-doubling bifurcation that develops with increasing frequency of stimulation. Here, through high-resolution…

This paper presents a nonlinear reaction-diffusion-fluid system that simulates radiofrequency ablation within cardiac tissue. The model conveys the dynamic evolution of temperature and electric potential in both the fluid and solid regions,…

Numerical Analysis · Mathematics 2024-05-03 Mostafa Bendahmane , Youssef Ouakrim , Yassine Ouzrour , Mohamed Zagour

When modelling tissue-level cardiac electrophysiology, continuum approximations to the discrete cell-level equations are used to maintain computational tractability. One of the most commonly used models is represented by the bidomain…

Computational Engineering, Finance, and Science · Computer Science 2012-08-22 Doug Bruce , Pras Pathmanathan , Jonathan P. Whiteley

Arrhythmias are potentially fatal disruptions to the normal heart rhythm, but their underlying dynamics is still poorly understood. Theoretical modeling is an important tool to fill this gap. Typical studies often employ detailed…

Tissues and Organs · Quantitative Biology 2022-03-08 R. V. Stenzinger , M. H. R. Tragtenberg

As another critical implementation of moving frames for partial differential equations, this paper proposes a novel numerical scheme by aligning one of three orthogonal unit vectors at each grid point along the direction of a wave…

Numerical Analysis · Mathematics 2020-03-24 Sehun Chun , Chris Cantwell

This work presents a biventricular electromechanical human heart model that is comprehensive and clinically relevant, integrating a realistic 3D heart geometry with both systemic and pulmonary hemodynamics. The model uses a two-way…

Medical Physics · Physics 2025-09-05 Milad Hasani , Alireza Rezania , Sam Riahi

Reentrant waves propagating in a ring or annulus of excitable media model is the basic mechanism underlying a major class of irregular cardiac rhythms known as anatomical reentry. Such reentrant waves are terminated by rapid electrical…

Chaotic Dynamics · Physics 2009-11-07 Sitabhra Sinha , David J. Christini

Interruptions in nonlinear wave propagation, commonly referred to as wave breaks, are typical of many complex excitable systems. In the heart they lead to fatal rhythm disorders, the so-called arrhythmias, which are one of the main causes…

It is generally assumed that all cells in models of the electrical behavior of cardiac tissue have the same properties. However, there are differences in cardiac cells that are not well characterized but cause spatial heterogeneity of the…

Tissues and Organs · Quantitative Biology 2024-12-11 Alejandro Nieto Ramos , Elizabeth M. Cherry

Currently, cellular action potentials are detected using either electrical recordings or exogenous fluorescent probes sensing calcium concentration or transmembrane voltage. Ca imaging has low temporal resolution, while voltage indicators…

Abnormal patterns of ventricular repolarisation contribute to lethal arrhythmias in various cardiac conditions, including inherited and acquired channelopathies, cardiomyopathies, and ischaemic heart disease. However, methods to detect…

Medical Physics · Physics 2025-06-30 James A Coleman , Julia Camps , Abdallah I Hasaballa , Alfonso Bueno-Orovio

This work is dedicated to the simulation of full cycles of the electrical activity of the heart and the corresponding body surface potential. The model is based on a realistic torso and heart anatomy, including ventricles and atria. One of…

Medical Physics · Physics 2015-09-04 Elisa Schenone , Annabelle Collin , Jean-Frédéric Gerbeau

Cardiac arrhythmias such as ventricular tachycardia (VT) or ventricular fibrillation (VF) are the leading cause of death in the industrialised world. There is a growing consensus that these arrhythmias arise because of the formation of…

Pattern Formation and Solitons · Physics 2007-05-23 T. K. Shajahan , Sitabhra Sinha , Rahul Pandit

We propose and analyse the properties of a new class of models for the electromechanics of cardiac tissue. The set of governing equations consists of nonlinear elasticity using a viscoelastic and orthotropic exponential constitutive law…

Numerical Analysis · Mathematics 2022-04-08 Adrienne Propp , Alessio Gizzi , Francesc Levrero-Florencio , Ricardo Ruiz-Baier

The heart's contraction is caused by electrical excitation which propagates through the heart muscle. It was recently shown that the electrical excitation can be computed from the contractile motion of a simulated piece of heart muscle…

Medical Physics · Physics 2023-05-16 Jan Lebert , Daniel Deng , Lei Fan , Lik Chuan Lee , Jan Christoph

Using analytical expressions for the pressure and velocity waveforms in tapered vessels, we construct a linear 1D model for wave propagation in stenotic vessels in the frequency domain. We demonstrate that using only two parameters to…

Fluid Dynamics · Physics 2019-07-24 George Papadakis , Jean Raspaud

Discordant alternans,the phenomenon of 2 separate cardiac tissue locations exhibiting action potential duration (APD) alternans of opposite phase, appears to be a potential mechanism for electrocardiographic T wave alternans, but its…

Biological Physics · Physics 2007-05-23 Mari A. Watanabe , Flavio H Fenton , Steven J. Evans , Harold Hastings , Alain Karma

While spiral wave breakup has been implicated in the emergence of atrial fibrillation, its role in maintaining this complex type of cardiac arrhythmia is less clear. We used the Karma model of cardiac excitation to investigate the dynamical…

Tissues and Organs · Quantitative Biology 2017-10-11 Christopher D Marcotte , Roman O Grigoriev

In the present paper, a new three-scale asymptotic homogenization method is proposed to study the electrical behavior of the cardiac tissue structure with multiple heterogeneities at two different levels. The first level is associated with…

Analysis of PDEs · Mathematics 2022-01-11 Fakhrielddine Bader , Mostafa Bendahmane , Mazen Saad , Raafat Talhouk

This short review paper gives an overview of recently observed transverse, propagating velocity perturbations in coronal loops. These ubiquitous perturbations are observed to undergo strong damping as they propagate. Using 3D numerical…

Solar and Stellar Astrophysics · Physics 2015-10-06 I. De Moortel , D. J. Pascoe , A. N. Wright , A. W. Hood