By Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi

This e-book covers the most mathematical and numerical types in computational electrocardiology, starting from microscopic membrane versions of cardiac ionic channels to macroscopic bidomain, monodomain, eikonal types and cardiac resource representations. those complex multiscale and nonlinear versions describe the cardiac bioelectrical job from the mobilephone point to the physique floor and are hired in either the direct and inverse difficulties of electrocardiology. The publication additionally covers complicated numerical suggestions had to successfully perform large-scale cardiac simulations, together with time and house discretizations, decoupling and operator splitting suggestions, parallel finite aspect solvers. those options are hired in 3D cardiac simulations illustrating the excitation mechanisms, the anisotropic results on excitation and repolarization wavefronts, the morphology of electrograms in common and pathological tissue and a few reentry phenomena. the final objective of the ebook is to give carefully the mathematical and numerical foundations of computational electrocardiology, illustrating the present study advancements during this fast-growing box mendacity on the intersection of mathematical body structure, bioengineering and computational biomedicine. This ebook is addressed to graduate pupil and researchers within the box of utilized arithmetic, clinical computing, bioengineering, electrophysiology and cardiology.

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