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

ISBN-10: 3319048007

ISBN-13: 9783319048000

ISBN-10: 3319354906

ISBN-13: 9783319354903

This booklet covers the most mathematical and numerical versions in computational electrocardiology, starting from microscopic membrane versions of cardiac ionic channels to macroscopic bidomain, monodomain, eikonal types and cardiac resource representations. those complicated multiscale and nonlinear versions describe the cardiac bioelectrical job from the cellphone point to the physique floor and are hired in either the direct and inverse difficulties of electrocardiology. The e-book additionally covers complex numerical ideas had to successfully perform large-scale cardiac simulations, together with time and house discretizations, decoupling and operator splitting suggestions, parallel finite point solvers. those strategies 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 target of the publication is to offer carefully the mathematical and numerical foundations of computational electrocardiology, illustrating the present examine advancements during this fast-growing box mendacity on the intersection of mathematical body structure, bioengineering and computational biomedicine. This ebook is addressed to graduate scholar and researchers within the box of utilized arithmetic, clinical computing, bioengineering, electrophysiology and cardiology.

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Mathematical Cardiac Electrophysiology (MS&A) by Piero Colli Franzone,Luca F. Pavarino,Simone Scacchi


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