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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.

Mathematics --- Human biochemistry --- Computer. Automation --- medische biochemie --- biochemie --- informatica --- externe fixatie (geneeskunde --- wiskunde --- Computer science --- Biomedical engineering. --- Medicine. --- Computational Mathematics and Numerical Analysis. --- Biomedical Engineering and Bioengineering. --- Biomedicine, general. --- Mathematics.

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The book comprises contributions by some of the most respected scientists in the field of mathematical modeling and numerical simulation of the human cardiocirculatory system. It covers a wide range of topics, from the assimilation of clinical data to the development of mathematical and computational models, including with parameters, as well as their efficient numerical solution, and both in-vivo and in-vitro validation. It also considers applications of relevant clinical interest. This book is intended for graduate students and researchers in the field of bioengineering, applied mathematics, computer, computational and data science, and medicine wishing to become involved in the highly fascinating task of modeling the cardiovascular system.

Electrocardiography --- ECG --- EKG --- Electrocardiograms --- Electrodiagnosis --- Heart --- Mathematical models. --- Diseases --- Diagnosis --- Electric properties --- Computer science --- Computer science. --- Biology --- Cardiovascular system. --- Computational Mathematics and Numerical Analysis. --- Math Applications in Computer Science. --- Computer Appl. in Life Sciences. --- Cardiovascular Biology. --- Mathematics. --- Data processing. --- Circulatory system --- Vascular system --- Blood --- Informatics --- Science --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Circulation --- Mathematics --- Computer mathematics. --- Computer science—Mathematics. --- Bioinformatics . --- Computational biology . --- Bioinformatics --- Bio-informatics --- Biological informatics --- Information science --- Computational biology --- Systems biology --- Data processing