Piero Colli Franzone & Luca Franco Pavarino 
Mathematical Cardiac Electrophysiology [PDF ebook] 

Ajutor

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.

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Cuprins

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.

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Limba Engleză ● Format PDF ● Pagini 397 ● ISBN 9783319048017 ● Mărime fișier 19.2 MB ● Editura Springer International Publishing ● Oraș Cham ● Țară CH ● Publicat 2014 ● Descărcabil 24 luni ● Valută EUR ● ID 3554499 ● Protecție împotriva copiilor DRM social

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