Mathematical Cardiac Electrophysiology

Author : Piero Colli Franzone
Publisher : Springer
ISBN 13 : 3319048015
Total Pages : 410 pages
Book Rating : 4.17/5 ( download)

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Download or read book Mathematical Cardiac Electrophysiology written by Piero Colli Franzone and published by Springer. This book was released on 2014-10-30 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Piero Colli Franzone
Publisher : Springer
ISBN 13 : 9783319048024
Total Pages : 397 pages
Book Rating : 4.23/5 ( download)

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Download or read book Mathematical Cardiac Electrophysiology written by Piero Colli Franzone and published by Springer. This book was released on 2014-11-02 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Boris Ja. Kogan
Publisher : Springer Science & Business Media
ISBN 13 : 0387766863
Total Pages : 236 pages
Book Rating : 4.67/5 ( download)

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Download or read book Introduction to Computational Cardiology written by Boris Ja. Kogan and published by Springer Science & Business Media. This book was released on 2009-12-09 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Computational Cardiology provides a comprehensive, in-depth treatment of the fundamental concepts and research challenges involved in the mathematical modeling and computer simulation of dynamical processes in the heart, under normal and pathological conditions. About this textbook: - Presents descriptions of models used in both biology and medicine for discovering the mechanisms of heart function and dysfunction on several physiological scales across different species. - Provides several examples throughout the textbook and exercises at the end which facilitate understanding of basic concepts and introduces, for implementation, treated problems to parallel supercomputers. Introduction to Computational Cardiology serves as a secondary textbook or reference book for advanced-level students in computer science, electrical engineering, biomedical engineering, and cardiac electrophysiology. It is also suitable for researchers employing mathematical modeling and computer simulations of biomedical problems.

Author :
Publisher :
ISBN 13 : 9780857298713
Total Pages : 497 pages
Book Rating : 4.12/5 ( download)

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Download or read book Basic Electrocardiology written by and published by . This book was released on 2012 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Pullan Andrew
Publisher : World Scientific Publishing Company
ISBN 13 : 9813106565
Total Pages : 448 pages
Book Rating : 4.67/5 ( download)

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Download or read book Mathematically Modelling The Electrical Activity Of The Heart: From Cell To Body Surface And Back Again written by Pullan Andrew and published by World Scientific Publishing Company. This book was released on 2005-09-07 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on modelling the electrical activity of the heart is an attempt to describe continuum based modelling of cardiac electrical activity from the cell level to the body surface (the forward problem), and back again (the inverse problem). Background anatomy and physiology is covered briefly to provide a suitable context for understanding the detailed modelling that is presented herein. The questions of what is mathematical modelling and why one would want to use mathematical modelling are addressed to give some perspective to the philosophy behind our approach. Our view of mathematical modelling is broad — it is not simply about obtaining a solution to a set of mathematical equations, but includes some material on aspects such as experimental and clinical validation.

Author : Andrew J. Pullan
Publisher : World Scientific
ISBN 13 : 9812563733
Total Pages : 446 pages
Book Rating : 4.36/5 ( download)

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Download or read book Mathematically Modelling the Electrical Activity of the Heart written by Andrew J. Pullan and published by World Scientific. This book was released on 2005 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on modelling the electrical activity of the heart is an attempt to describe continuum based modelling of cardiac electrical activity from the cell level to the body surface (the forward problem), and back again (the inverse problem). Background anatomy and physiology is covered briefly to provide a suitable context for understanding the detailed modelling that is presented herein. The questions of what is mathematical modelling and why one would want to use mathematical modelling are addressed to give some perspective to the philosophy behind our approach. Our view of mathematical modelling is broad ? it is not simply about obtaining a solution to a set of mathematical equations, but includes some material on aspects such as experimental and clinical validation.

Author : Alfio Quarteroni
Publisher : Cambridge University Press
ISBN 13 : 110848039X
Total Pages : 291 pages
Book Rating : 4.90/5 ( download)

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Download or read book Mathematical Modelling of the Human Cardiovascular System written by Alfio Quarteroni and published by Cambridge University Press. This book was released on 2019-05-09 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addresses the mathematical and numerical modelling of the human cardiovascular system, from patient data to clinical applications.

Author : Frank B. Sachse
Publisher : Springer
ISBN 13 : 3540259260
Total Pages : 364 pages
Book Rating : 4.68/5 ( download)

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Download or read book Computational Cardiology written by Frank B. Sachse and published by Springer. This book was released on 2005-01-12 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to computer-based modeling in cardiology, by taking an educational point of view, and by summarizing knowledge from several, commonly considered delimited areas of cardiac research in a consistent way. First, the foundations and numerical techniques from mathematics are provided, with a particular focus on the finite element and finite differences methods. Then, the theory of electric fields and continuum mechanics is introduced with respect to numerical calculations in anisotropic biological media. In addition to the presentation of digital image processing techniques, the following chapters deal with particular aspects of cardiac modeling: cardiac anatomy, cardiac electro physiology, cardiac mechanics, modeling of cardiac electro mechanics. This book was written for researchers in modeling and cardiology, for clinical cardiologists, and for advanced students.

Author : Daniele Boffi
Publisher : Springer
ISBN 13 : 3319966499
Total Pages : 243 pages
Book Rating : 4.96/5 ( download)

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Download or read book Mathematical and Numerical Modeling of the Cardiovascular System and Applications written by Daniele Boffi and published by Springer. This book was released on 2018-11-03 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Peter Spector
Publisher : John Wiley & Sons
ISBN 13 : 1118905490
Total Pages : 133 pages
Book Rating : 4.94/5 ( download)

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Download or read book Understanding Clinical Cardiac Electrophysiology written by Peter Spector and published by John Wiley & Sons. This book was released on 2016-05-16 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the fast paced world of clinical training, students are often inundated with the what of electrophysiology without the why. This new text is designed to tell the story of electrophysiology so that the seemingly disparate myriad observations of clinical practice come into focus as a cohesive and predictable whole. Presents a unique, conceptually-guided approach to understanding the movement of electrical current through the heart, the impact of various disease states and the positive effect of treatment Reviews electrophysiologic principles and the analytic tools which, when combined with a firm grasp of EP mechanisms, allow the reader to think through any situation Presents the mathematics necessary for the practice of cardiac electrophysiology in an accessible and understandable manner Contains accompanying video clips, including computer simulations showing the flow of electrical current through the heart, which help explain and visualise concepts discussed in the text Includes helpful chapter summaries and full color illustrations aid comprehension