This book covers the main mathematical and numerical models in computational electrocardiology
ranging from microscopic membrane models of cardiac ionic channels to macroscopic bidomain
monodomain eikonal models and cardiac source representations. These advanced multiscale and
nonlinear models describe the cardiac bioelectrical activity from the cell level to the body
surface and are employed in both the direct and inverse problems of electrocardiology. The book
also covers advanced numerical techniques needed to efficiently carry out large-scale cardiac
simulations including time and space discretizations decoupling and operator splitting
techniques parallel finite element solvers. These techniques are employed in 3D cardiac
simulations illustrating the excitation mechanisms the anisotropic effects on excitation and
repolarization wavefronts the morphology of electrograms in normal and pathological tissue and
some reentry phenomena. The overall aim of the book is to present rigorously the mathematical
and numerical foundations of computational electrocardiology illustrating the current research
developments in this fast-growing field lying at the intersection of mathematical physiology
bioengineering and computational biomedicine. This book is addressed to graduate student and
researchers in the field of applied mathematics scientific computing bioengineering
electrophysiology and cardiology.
