Mathematical Cardiac Electrophysiology VOL 13 1st Edition by Piero Colli Franzone, Luca Franco Pavarino, Simone Scacchi 3319048007 978-3319048000

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ISBN 10: 3319048007

ISBN 13: 978-3319048000

Author: Piero Colli Franzone, Luca Franco Pavarino, Simone Scacchi

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.

Mathematical Cardiac Electrophysiology VOL 13 1st Table of contents:

Basic Cardiac Anatomy and Electrocardiology

Mathematical Models of Cellular Bioelectrical Activity

Mathematical Models of Cardiac Cells Arrangements: The Bidomain Model

Reduced Macroscopic Models: The Monodomain and Eikonal Models

Anisotropic Cardiac Sources

The Inverse Problem of Electrocardiology

Numerical Methods for the Bidomain and Reduced Models

Parallel Solvers for the Bidomain System

Simulation Studies of Cardiac Bioelectrical Activity

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