Mathematical Cardiac Electrophysiology

Piero Colli Franzone, Luca Franco Pavarino, Simone Scacchi (Autoren)

Buch | Hardcover

XIV, 397 Seiten

2014 | 2014
Springer International Publishing (Verlag)
978-3-319-04800-0 (ISBN)

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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.

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.

"This book aims to present recent mathematical and numerical advances in cardiac electrophysiology, in a comprehensive manner and with a special emphasis on large-scale numerical simulations. ... the presentation is as clear as possible, which makes the book a valuable resource for graduate students and researchers in electrophysiology and cardiology, not only for the amount and quality of the material reviewed, but also for the quality of the presentation." (Paul Georgescu, zbMATH 1318.92002, 2015)

Erscheint lt. Verlag	11.11.2014
Reihe/Serie	MS&A
Zusatzinfo	XIV, 397 p. 138 illus., 78 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	783 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Medizin / Pharmazie ► Physiotherapie / Ergotherapie ► Orthopädie
Schlagworte	cardiac reaction-diffusion equations • Computational electrocardiology • mathematical and numerical modeling of the heart • parallel and scalable numerical solvers
ISBN-10	3-319-04800-7 / 3319048007
ISBN-13	978-3-319-04800-0 / 9783319048000
Zustand	Neuware