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This volume is a selection of contributions offered by friends,
collaborators, past students in memory of Enrico Magenes. The first
part gives a wide historical perspective of Magenes' work in his
50-year mathematical career; the second part contains original
research papers, and shows how ideas, methods, and techniques
introduced by Magenes and his collaborators still have an impact on
the current research in Mathematics.
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.
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.
This volume is a selection of contributions offered by friends,
collaborators, past students in memory of Enrico Magenes. The first
part gives a wide historical perspective of Magenes' work in his
50-year mathematical career; the second part contains original
research papers, and shows how ideas, methods, and techniques
introduced by Magenes and his collaborators still have an impact on
the current research in Mathematics.
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