Mathematical Cardiac Electrophysiology


Mathematical Cardiac Electrophysiology
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Mathematical Cardiac Electrophysiology


Mathematical Cardiac Electrophysiology
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Author : Piero Colli Franzone
language : en
Publisher: Springer
Release Date : 2014-10-30

Mathematical Cardiac Electrophysiology written by Piero Colli Franzone and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-30 with Mathematics categories.


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.



Mathematical Cardiac Electrophysiology


Mathematical Cardiac Electrophysiology
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Author : Piero Colli Franzone
language : en
Publisher: Springer
Release Date : 2014-11-02

Mathematical Cardiac Electrophysiology written by Piero Colli Franzone and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-02 with Mathematics categories.


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.



Introduction To Computational Cardiology


Introduction To Computational Cardiology
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Author : Boris Ja. Kogan
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-09

Introduction To Computational Cardiology written by Boris Ja. Kogan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-09 with Computers categories.


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.



Basic Electrocardiology


Basic Electrocardiology
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Author : Peter W. Macfarlane
language : en
Publisher: Springer
Release Date : 2011-12-08

Basic Electrocardiology written by Peter W. Macfarlane and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-08 with Medical categories.


New edition of the classic complete reference book for cardiologists and trainee cardiologists on the theory and practice of electrocardiography, one of the key modalities used for evaluating cardiology patients and deciding on appropriate management strategies.



Mathematically Modelling The Electrical Activity Of The Heart


Mathematically Modelling The Electrical Activity Of The Heart
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Author : Andrew J. Pullan
language : en
Publisher: World Scientific
Release Date : 2005

Mathematically Modelling The Electrical Activity Of The Heart written by Andrew J. Pullan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Medical categories.


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.



Mathematical And Numerical Modeling Of The Cardiovascular System And Applications


Mathematical And Numerical Modeling Of The Cardiovascular System And Applications
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Author : Daniele Boffi
language : en
Publisher: Springer
Release Date : 2018-11-03

Mathematical And Numerical Modeling Of The Cardiovascular System And Applications written by Daniele Boffi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-03 with Mathematics categories.


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.



Mathematical Modelling Of The Human Cardiovascular System


Mathematical Modelling Of The Human Cardiovascular System
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Author : Alfio Quarteroni
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-09

Mathematical Modelling Of The Human Cardiovascular System written by Alfio Quarteroni and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-09 with Mathematics categories.


Addresses the mathematical and numerical modelling of the human cardiovascular system, from patient data to clinical applications.



Understanding Clinical Cardiac Electrophysiology


Understanding Clinical Cardiac Electrophysiology
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Author : Peter Spector
language : en
Publisher: John Wiley & Sons
Release Date : 2016-05-16

Understanding Clinical Cardiac Electrophysiology written by Peter Spector and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-16 with Medical categories.


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



Mathematically Modelling The Electrical Activity Of The Heart


Mathematically Modelling The Electrical Activity Of The Heart
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Author : Andrew Pullan
language : en
Publisher:
Release Date : 2005

Mathematically Modelling The Electrical Activity Of The Heart written by Andrew Pullan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.




Mathematical Approaches To Cardiac Arrhythmias


Mathematical Approaches To Cardiac Arrhythmias
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Author : José Jalife
language : en
Publisher: Computer Science Press, Incorporated
Release Date : 1990

Mathematical Approaches To Cardiac Arrhythmias written by José Jalife and has been published by Computer Science Press, Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Medical categories.