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Heterogeneous mechanical dyskinesis during acute myocardial ischaemia is thought to contribute to arrhythmogenic alterations to cardiac electrophysiology. Various forms of mechano-electric coupling (MEC) mechanisms have been suggested to…

In this paper we consider the monodomain model of cardiac electrophysiology. After an analysis of the well-posedness of the model, we determine an asymptotic expansion of the perturbed potential due to the presence of small conductivity…

Analysis of PDEs · Mathematics 2020-10-28 Elena Beretta , Cecilia Cavaterra , Luca Ratti

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

In this paper we introduce a new mathematical model for the active contraction of cardiac muscle, featuring different thermo-electric and nonlinear conductivity properties. The passive hyperelastic response of the tissue is described by an…

Tissues and Organs · Quantitative Biology 2019-05-02 Ricardo Ruiz Baier , Alessio Gizzi , Alessandro Loppini , Christian Cherubini , Simonetta Filippi

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

We present a novel microscopic tridomain model describing the electrical activity in cardiac tissue with dynamical gap junctions. The microscopic tridomain system consists of three PDEs modeling the tissue electrical conduction in the…

Analysis of PDEs · Mathematics 2022-06-01 Fakhrielddine Bader , Mostafa Bendahmane , Mazen Saad , Raafat Talhouk

In this paper, we consider the monodomain model of cardiac electrophysiology. After an analysis of the well-posedness of the forward problem, we show that perfectly insulating regions (modeling ischemic regions in the cardiac tissue) can be…

Analysis of PDEs · Mathematics 2024-07-15 Andrea Aspri , Elena Beretta , Elisa Francini , Dario Pierotti , Sergio Vessella

Modeling and simulating how oxygen supply shapes neuronal excitability is crucial for advancing the understanding of brain function in pathological scenarios, such as ischemia. This condition is caused by a reduced blood supply, leading to…

Numerical Analysis · Mathematics 2026-03-19 Francesco Daniele , Caterina B. Leimer Saglio , Stefano Pagani , Paola F. Antonietti

Recent studies in mammalian hearts show that left ventricular wall thickening is an important mechanism for systolic ejection and that during contraction the cardiac muscle develops significant stresses in the muscular cross-fiber…

Analysis of PDEs · Mathematics 2008-12-04 Christian Bourdarias , Stéphane Gerbi , Jacques Ohayon

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

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

We developed a novel patient-specific computational model for the numerical simulation of ventricular electromechanics in patients with ischemic cardiomyopathy (ICM). This model reproduces the activity both in sinus rhythm (SR) and in…

The study of pathological cardiac conditions such as arrhythmias, a major cause of mortality in heart failure, is becoming increasingly informed by computational simulation, numerically modelling the governing equations. This can provide…

Computational Engineering, Finance, and Science · Computer Science 2014-06-09 Nathan Kirk , Alan Benson , Christopher Goodyer , Matthew Hubbard

Mechano-electric feedbacks (MEFs), which model how mechanical stimuli are transduced into electrical signals, have received sparse investigation by considering electromechanical simulations in simplified scenarios. In this paper, we study…

Numerical Analysis · Mathematics 2021-11-01 Matteo Salvador , Francesco Regazzoni , Stefano Pagani , Luca Dede' , Natalia Trayanova , Alfio Quarteroni

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

Mechanical function of the heart during open-chest cardiac surgery is exclusively monitored by echocardiographic techniques. However, little is known about local kinematics, particularly for the reperfused regions after ischemic events. We…

A significant hallmark of hypertrophic cardiomyopathy (HCM) is fiber disarray, which is associated with various cardiac events such as heart failure. Quantifying fiber disarray remains critical for understanding the disease s complex…

Tissues and Organs · Quantitative Biology 2025-07-04 Mohammad Mehri , Kenneth S. Campbell , Lik Chuan Lee , Jonathan F. Wenk

In a computational study we reveal a novel dynamical instability of excitation waves in the heartmuscle. The instability manifests itself as gradual local increase in the duration of the actionpotential which causes formation and…

Biological Physics · Physics 2019-08-15 L. D. Weise , A. V. Panfilov

We numerically investigate the role of mechanical stress in modifying the conductivity properties of the cardiac tissue and its impact in computational models for cardiac electromechanics. We follow a theoretical framework recently proposed…

Tissues and Organs · Quantitative Biology 2019-05-02 A. Loppini , A. Gizzi , R. Ruiz Baier , C. Cherubini , F. Fenton , S. Filippi

Heart failure is one of the most common causes of death in the western world. Many heart problems are linked to disturbances in cardiac electrical activity, such as wave re-entry caused by ischaemia. In terms of mathematical modelling, the…

Numerical Analysis · Mathematics 2018-09-24 Megan E. Farquhar , Timothy J. Moroney , Qianqian Yang , Ian W. Turner , Kevin Burrage
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