Composite Biomarkers Derived from Micro-Electrode Array Measurements and Computer Simulations Improve the Classification of Drug-Induced Channel Block by Eliott Tixier, Eliott Tixier, Fabien Raphel, Fabien Raphel, Damiano Lombardi, Damiano Lombardi, Jean-Frédéric Gerbeau, Jean-Frédéric Gerbeau

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POD-Enhanced Deep Learning-Based Reduced Order Models for the Real-Time Simulation of Cardiac Electrophysiology in the Left Atrium by Stefania Fresca, Andrea Manzoni, Luca Dedè, Alfio Quarteroni, Alfio Quarteroni

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Mechanotransduction caused by a point force in the extracellular space by Bradley John Roth

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Estimation of Activation Times in Cardiac Tissue Using Graph Based Methods by Wallman, M, Smith, N, Rodriguez, B

“…The bidomain and monodomain equations are well established as the standard set of equations for the simulation of cardiac electrophysiological behaviour. …”

The simplified Kirchhoff network model (SKNM): a cell-based reaction–diffusion model of excitable tissue by Karoline Horgmo Jæger, Aslak Tveito

“…Recently, the Kirchhoff Network Model (KNM) was developed as a cell-based counterpart to the bidomain model. In this paper, we aim to demonstrate that KNM can be simplified using the same steps employed to derive the monodomain model from the bidomain model. …”
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A comparison of discrete and continuum models of cardiac electrophysiology by Bruce, D

“…The bidomain equations are derived from the discrete equations using a mathematical technique known as homogenisation. …”

An open source HPC-enabled model of cardiac defibrillation of the human heart by Bernabeu Llinares, M

“…The advances include the development of novel computational and numerical techniques for the solution of the bidomain equations in large-scale high performance computing resources. …”

Chaste: Incorporating a Novel Multiscale Spatial and Temporal Algorithm into a Large Scale Open Source Library by Bernabeu, M, Bordas, R, Pathmanathan, P, Pitt−Francis, J, Cooper, J, Garny, A, Gavaghan, D, Rodriguez, B, Southern, J, Whiteley, J

“…Whiteley has developed a numerical algorithm for solving the bidomain equations that uses the multi-scale (MS) nature of the physiology modelled to enhance computational efficiency. …”

CHASTE: incorporating a novel multi-scale spatial and temporal algorithm into a large-scale open source library. by Bernabeu, M, Bordas, R, Pathmanathan, P, Pitt-Francis, J, Cooper, J, Garny, A, Gavaghan, D, Rodriguez, B, Southern, J, Whiteley, J

“…Whiteley has developed a numerical algorithm for solving the bidomain equations that uses the multi-scale (MS) nature of the physiology modelled to enhance computational efficiency. …”

Modeling and simulation of hypothermia effects on cardiac electrical dynamics. by Youssef Belhamadia, Justin Grenier

“…The simplification of the proposed heat-bidomain model to the heat-monodomain model is provided. …”
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From Millimeters to Micrometers; Re-introducing Myocytes in Models of Cardiac Electrophysiology by Karoline Horgmo Jæger, Andrew G. Edwards, Wayne R. Giles, Wayne R. Giles, Aslak Tveito

“…The present gold standard of numerical simulation for cardiac electrophysiology is based on the bidomain model. In the bidomain model, the extracellular (E) space, the cell membrane (M) and the intracellular (I) space are all assumed to be present everywhere in the tissue. …”
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Scalable parallel preconditioners for an open source cardiac electrophysiology simulation package by Bernabeu, M, Kay, D

“…The numerical solution of the bidomain equations is a fundamental tool in the field of computational cardiac electrophysiology. …”

Modulation of shock-end virtual electrode polarisation as a direct result of 3D fluorescent photon scattering. by Bishop, M, Rodriguez, B, Trayanova, N, Gavaghan, D

“…This leads directly to a significantly modulated optical signal response with respect to that predicted by the bidomain simulations, distorting epicardial virtual electrode polarization produced at shock-end. …”

Modulation of shock-end virtual electrode polarisation as a direct result of 3D fluorescent photon scattering. by Bishop, M, Rodriguez, B, Trayanova, N, Gavaghan, D

“…This leads directly to a significantly modulated optical signal response with respect to that predicted by the bidomain simulations, distorting epicardial virtual electrode polarization produced at shock-end. …”

Refining the Eikonal Model to Reproduce the Influence of Atrial Tissue Geometry on Conduction Velocity by Skupien Nils, Barrios Espinosa Cristian, Dössel Olaf, Loewe Axel

“…To tackle this issue, a regression model is created based on biophysically detailed bidomain simulation data. This regression formula calculates the conduction velocity dependent on the thickness and curvature of the heart wall. …”
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Modelling and simulation of phenotypic variability in cardiac tissue and application to stem cell-derived cardiomyocytes by Bowler, L

“…While tissue containing regions of distinct cell types can be modelled using the bidomain equations, this approach is not computationally efficient when the cells are well-mixed. …”

Toward a More Efficient Implementation of Antifibrillation Pacing. by Dan Wilson, Jeff Moehlis

“…We devise a methodology to determine an optimal pattern of inputs to synchronize firing patterns of cardiac cells which only requires the ability to measure action potential durations in individual cells. In numerical bidomain simulations, the resulting synchronizing inputs are shown to terminate spiral waves with a higher probability than comparable inputs that do not synchronize the cells as strongly. …”
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role of photon scattering in optical signal distortion during arrhythmia and defibrillation by Bishop, M, Rodriguez, B, Qu, F, Efimov, I, Gavaghan, D, Trayanova, N

“…A three-dimensional realistic bidomain rabbit ventricular model was combined with a model of photon transport. …”

A Numerical Method for Coupled Cardiac Electro-Mechanical Simulations by Whiteley, J, Pathmanathan, P, Simos, T

“…This coupled electro-mechanical system is usually modelled by coupling a model of tissue deformation with a tissue level model of cardiac electrophysiology such as the bidomain equations [1]. One difficulty with computing a numerical solution of this coupled system is numerical stability [3, 7]. …”

Representation of multiple cellular phenotypes within tissue-level simulations of cardiac electrophysiology by Gavaghan, D, Bowler, L, Mirams, G, Whiteley, J

“…Instead, we model the electrophysiology of well-mixed cells by using homogenisation to derive an extension to the commonly used monodomain or bidomain equations. These new equations permit spatial variations in the distribution of the different subtypes of cells and will reduce the computational demands of solving the governing equations. …”