Mathematical Cardiac Electrophysiology

"This book aims to present recent mathematical and numerical advances in cardiac electrophysiology, in a comprehensive manner and with a special emphasis on large-scale numerical simulations. ... the presentation is as clear as possible, which makes the book a valuable resource for graduate students and researchers in electrophysiology and cardiology, not only for the amount and quality of the material reviewed, but also for the quality of the presentation." (Paul Georgescu, zbMATH 1318.92002, 2015)

• 1 Basic cardiac anatomy and electrocardiology.- 2 Mathematical models of cellular bioelectrical activity.- 3 Mathematical models of cardiac cells arrangements: the Bidomain model.- 4 Reduced macroscopic models: the Monodomain and Eikonal models.- 5 Anisotropic cardiac sources.- 6 The Inverse problem of Electrocardiology.- 7 Numerical methods for the Bidomain and reduced models.- 8 Parallel solvers for the Bidomain system.- 9 Simulation studies of cardiac bioelectrical activity.- 10 Appendix A: Cardiac simulation projects, software, libraries.