Mathematical Cardiac Electrophysiology

• Main Authors: Colli Franzone, Piero (Author), Pavarino, Luca Franco (Author), Scacchi, Simone (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: MS&A, Modeling, Simulation and Applications, 13
• Subjects: Mathematics.; Computer mathematics.; Biomedical engineering.; Computational Mathematics and Numerical Analysis.; Biomedical Engineering.; Biomedicine general.

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 de...

Table of Contents:

• 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.