By Piero Colli Franzone,Luca F. Pavarino,Simone Scacchi
This ebook covers the most mathematical and numerical versions in computational electrocardiology, starting from microscopic membrane versions of cardiac ionic channels to macroscopic bidomain, monodomain, eikonal versions and cardiac resource representations. those complicated multiscale and nonlinear versions describe the cardiac bioelectrical task from the telephone point to the physique floor and are hired in either the direct and inverse difficulties of electrocardiology. The booklet additionally covers complex numerical innovations had to successfully perform large-scale cardiac simulations, together with time and house discretizations, decoupling and operator splitting suggestions, parallel finite point solvers. those innovations are hired in 3D cardiac simulations illustrating the excitation mechanisms, the anisotropic results on excitation and repolarization wavefronts, the morphology of electrograms in general and pathological tissue and a few reentry phenomena. the final goal of the publication is to provide carefully the mathematical and numerical foundations of computational electrocardiology, illustrating the present study advancements during this fast-growing box mendacity on the intersection of mathematical body structure, bioengineering and computational biomedicine. This e-book is addressed to graduate scholar and researchers within the box of utilized arithmetic, medical computing, bioengineering, electrophysiology and cardiology.