Models of cardiac tissue electrophysiology: progress, challenges and open questions

RH Clayton, O Bernus, EM Cherry, H Dierckx… - Progress in biophysics …, 2011 - Elsevier
Models of cardiac tissue electrophysiology are an important component of the Cardiac
Physiome Project, which is an international effort to build biophysically based multi-scale …

Integrated heart—coupling multiscale and multiphysics models for the simulation of the cardiac function

A Quarteroni, T Lassila, S Rossi… - Computer Methods in …, 2017 - Elsevier
Mathematical modeling of the human heart and its function can expand our understanding of
various cardiac diseases, which remain the most common cause of death in the developed …

[图书][B] Mathematical cardiac electrophysiology

PC Franzone, LF Pavarino, S Scacchi - 2014 - books.google.com
This book covers the main mathematical and numerical models in computational
electrocardiology, ranging from microscopic membrane models of cardiac ionic channels to …

Verification of computational models of cardiac electro‐physiology

P Pathmanathan, RA Gray - International journal for numerical …, 2014 - Wiley Online Library
For computational models of cardiac activity to be used in safety‐critical clinical decision‐
making, thorough and rigorous testing of the accuracy of predictions is required. The field of …

A graduate introduction to numerical methods

RM Corless, N Fillion - AMC, 2013 - Springer
This book is designed to be used by mathematicians, engineers, and computer scientists as
a graduate-level introduction to numerical analysis and its methods. Readers are expected …

[图书][B] Optimal control of partial differential equations

A Manzoni, A Quarteroni, S Salsa - 2021 - Springer
This is a book on Optimal Control Problems (OCPs): how to formulate them, how to set up a
suitable mathematical framework for their analysis, how to approximate them numerically …

Adaptive macro finite elements for the numerical solution of monodomain equations in cardiac electrophysiology

EA Heidenreich, JM Ferrero, M Doblaré… - Annals of biomedical …, 2010 - Springer
Many problems in Biology and Engineering are governed by anisotropic reaction–diffusion
equations with a very rapidly varying reaction term. This usually implies the use of very fine …

Performance evaluation of GPU parallelization, space‐time adaptive algorithms, and their combination for simulating cardiac electrophysiology

R Sachetto Oliveira, B Martins Rocha… - … journal for numerical …, 2018 - Wiley Online Library
The use of computer models as a tool for the study and understanding of the complex
phenomena of cardiac electrophysiology has attained increased importance nowadays. At …

[图书][B] Adaptive numerical solution of PDEs

P Deuflhard, M Weiser - 2012 - books.google.com
This book deals with the general topic “Numerical solution of partial differential equations
(PDEs)” with a focus on adaptivity of discretizations in space and time. By and large …

Multilevel additive Schwarz preconditioners for the Bidomain reaction-diffusion system

LF Pavarino, S Scacchi - SIAM Journal on Scientific Computing, 2008 - SIAM
Multilevel additive Schwarz methods are analyzed and studied numerically for the
anisotropic cardiac Bidomain model in three dimensions. This is the most complete model to …