numerical guide to the solution of the bidomain equations of cardiac electrophysiology by Pathmanathan, P, Bernabeu, M, Bordas, R, Cooper, J, Garny, A, Pitt−Francis, J, Whiteley, J, Gavaghan, D

Modelling the effect of gap junctions on tissue−level cardiac electrophysiology by Bruce, D, Pathmanathan, P, Whiteley, J

Modelling the effect of gap junctions on tissue–level cardiac electrophysiology by Bruce, D, Pathmanathan, P, Whiteley, J

A numerical guide to the solution of the bidomain equations of cardiac electrophysiology by Pathmanathan, P, Bernabeu, M, Bordas, R, Cooper, J, Garny, A, Pitt-Francis, J, Whiteley, J, Gavaghan, D

A numerical guide to the solution of the bidomain equations of cardiac electrophysiology by Pathmanathan, P, Bernabeu, M, Bordas, R, Cooper, J, Garny, A, Pitt−Francis, J, Whiteley, J, Gavaghan, D

A numerical guide to the solution of the bi-domain equations of cardiac electrophysiology. by Pathmanathan, P, Bernabeu, M, Bordas, R, Cooper, J, Garny, A, Pitt-Francis, J, Whiteley, J, Gavaghan, D

Computational modelling of cardiac electrophysiology: Explanation of the variability of results from different numerical solvers by Pathmanathan, P, Bernabeu, M, Niederer, SA, Gavaghan, D, Kay, D

“…A recent verification study compared 11 large-scale cardiac electrophysiology solvers on an unambiguously defined common problem. …”

Computational modelling of cardiac electrophysiology: explanation of the variability of results from different numerical solvers. by Pathmanathan, P, Bernabeu, M, Niederer, SA, Gavaghan, D, Kay, D

“…A recent verification study compared 11 large-scale cardiac electrophysiology solvers on an unambiguously defined common problem. …”

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

“…This tension is a result of biochemical reactions that occur as part of cardiac electrophysiology. 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]. …”

A numerical method for cardiac mechanoelectric simulations. by Pathmanathan, P, Whiteley, J

“…Much effort has been devoted to developing numerical techniques for solving the equations that describe cardiac electrophysiology, namely the monodomain equations and bidomain equations. …”

A Numerical Method for Cardiac Mechanoelectric Simulations by Pathmanathan, P, Whiteley, J

“…Much effort has been devoted to developing numerical techniques for solving the equations that describe cardiac electrophysiology, namely the monodomain equations and bidomain equations. …”

Uncertainty and variability in models of the cardiac action potential: Can we build trustworthy models? by Johnstone, R, Chang, E, Bardenet, R, de Boer, T, Gavaghan, D, Pathmanathan, P, Clayton, R, Mirams, G

“…<p>Cardiac electrophysiology models have been developed for over 50 years, and now include detailed descriptions of individual ion currents and sub-cellular calcium handling. …”

Chaste: an open source C++ library for computational physiology and biology by Mirams, G, Arthurs, C, Bernabeu, M, Bordas, R, Cooper, J, Corrias, A, Davit, Y, Dunn, S, Fletcher, A, Harvey, D, Marsh, M, Osborne, J, Pathmanathan, P, Pitt−Francis, J, Southern, J, Zemzemi, N, Gavaghan, D

“…Code development has been driven by two initial applications: cardiac electrophysiology and cancer development. A large number of cardiac electrophysiology studies have been enabled and performed, including high-performance computational investigations of defibrillation on realistic human cardiac geometries. …”

Chaste: an open source C++ library for computational physiology and biology by Mirams, G, Arthurs, C, Bernabeu, M, Bordas, R, Cooper, J, Corrias, A, Davit, Y, Dunn, S, Fletcher, A, Harvey, D, Marsh, M, Osborne, J, Pathmanathan, P, Pitt-Francis, J, Southern, J, Zemzem, N, Gavaghan, D

“…Code development has been driven by two initial applications: cardiac electrophysiology and cancer development. A large number of cardiac electrophysiology studies have been enabled and performed, including high-performance computational investigations of defibrillation on realistic human cardiac geometries. …”

Chaste: an open source C++ library for computational physiology and biology by Mirams, G, Arthurs, C, Bernabeu, M, Bordas, R, Cooper, J, Corrias, A, Davit, Y, Dunn, S, Fletcher, A, Harvey, D, Marsh, M, Osborne, J, Pathmanathan, P, Pitt-Francis, J, Southern, J, Zemzemi, N, Gavaghan, D

“…Code development has been driven by two initial applications: cardiac electrophysiology and cancer development. A large number of cardiac electrophysiology studies have been enabled and performed, including high-performance computational investigations of defibrillation on realistic human cardiac geometries. …”

CARDIAC ELECTROMECHANICS: THE EFFECT OF CONTRACTION MODEL ON THE MATHEMATICAL PROBLEM AND ACCURACY OF THE NUMERICAL SCHEME by Pathmanathan, P, Chapman, S, Gavaghan, D, Whiteley, J

“…All contraction models are dependent on cardiac electrophysiology but can also be dependent on the stretch and stretch rate in the fibre direction. …”

Stimulus protocol determines the most computationally efficient preconditioner for the bidomain equations. by Bernabeu, M, Pathmanathan, P, Pitt-Francis, J, Kay, D

“…The efficient solution of the bidomain equations is a fundamental tool in the field of cardiac electrophysiology. When choosing a finite element discretization of the coupled system, one has to deal with the solution of a large, highly sparse system of linear equations. …”

Uncertainty and variability in models of the cardiac action potential: Can we build trustworthy models? by Johnstone, R, Chang, E, Bardenet, R, de Boer, T, Gavaghan, D, Pathmanathan, P, Clayton, R, Mirams, G

“…Cardiac electrophysiology models have been developed for over 50 years, and now include detailed descriptions of individual ion currents and sub-cellular calcium handling. …”

CARDIAC ELECTROMECHANICS: THE EFFECT OF CONTRACTION MODEL ON THE MATHEMATICAL PROBLEM AND ACCURACY OF THE NUMERICAL SCHEME by Pathmanathan, P, Chapman, S, Gavaghan, D, Whiteley, J

“…All contraction models are dependent on cardiac electrophysiology but can also be dependent on the stretch and stretch rate in the fibre direction. …”

Chaste: A test-driven approach to software development for biological modelling by Pitt-Francis, J, Pathmanathan, P, Bernabeu, M, Bordas, R, Cooper, J, Fletcher, A, Mirams, G, Murray, P, Osborne, J, Walter, A, Chapman, S, Garny, A, van Leeuwen, I, Maini, P, Rodriguez, B, Waters, S, Whiteley, J, Byrne, H, Gavaghan, D

“…Use of Chaste in two application areas are described in this paper: cardiac electrophysiology and intestinal crypt dynamics. Solution method: Coupled multi-physics with PDE, ODE and discrete mechanics simulation. …”