Mathematical Cardiac Electrophysiology

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

State-of-the-art modeling in the fast-growing field of computational electrocardiology

Rigorous presentation of the mathematical foundations and numerical treatment of current cardiac models

Up-to-date coverage of the relevant research projects and literature

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2014
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	MS&A
Inhalt:	xiv 397 S. 60 s/w Illustr. 78 farbige Illustr. 397 p. 138 illus. 78 illus. in color.
ISBN-13:	9783319048000
ISBN-10:	3319048007
Sprache:	Englisch
Herstellernummer:	86339699
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Colli Franzone, Piero Scacchi, Simone Pavarino, Luca Franco
Hersteller:	Springer International Publishing Springer International Publishing AG MS&A
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 28 mm
Von/Mit:	Piero Colli Franzone (u. a.)
Erscheinungsdatum:	11.11.2014
Gewicht:	0,787 kg

Artikel-ID: 105230626