Title
Mathematical cardiac electrophysiology [electronic resource] / Piero Colli Franzone, Luca Franco Pavarino, Simone Scacchi.
ISBN
9783319048017 electronic book
3319048015 electronic book
9783319048000
3319048007
Published
Cham : Springer, 2014.
Language
English
Description
1 online resource (xiv, 397 pages) : illustrations (some color).
Item Number
10.1007/978-3-319-04801-7 doi
Call Number
QP112.5.E46 C65 2014eb
Dewey Decimal Classification
612.1/71
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed December 1, 2014).
Series
MS&A (Series) ; volume 13.
Available in Other Form
Print version: 9783319048000
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.
