Mathematical Cardiac Electrophysiology
Download Mathematical Cardiac Electrophysiology full books in PDF, epub, and Kindle. Read online free Mathematical Cardiac Electrophysiology ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
| Author | : Piero Colli Franzone |
| Publisher | : Springer |
| Total Pages | : 410 |
| Release | : 2014-10-30 |
| Genre | : Mathematics |
| ISBN | : 3319048015 |
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 |
| Total Pages | : 236 |
| Release | : 2009-12-09 |
| Genre | : Computers |
| ISBN | : 0387766863 |
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 | : Piero Colli Franzone |
| Publisher | : Springer |
| Total Pages | : 397 |
| Release | : 2014-11-02 |
| Genre | : Mathematics |
| ISBN | : 9783319048024 |
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 | : Alfio Quarteroni |
| Publisher | : Cambridge University Press |
| Total Pages | : 291 |
| Release | : 2019-05-09 |
| Genre | : Mathematics |
| ISBN | : 1108570534 |
Mathematical and numerical modelling of the human cardiovascular system has attracted remarkable research interest due to its intrinsic mathematical difficulty and the increasing impact of cardiovascular diseases worldwide. This book addresses the two principal components of the cardiovascular system: arterial circulation and heart function. It systematically describes all aspects of the problem, stating the basic physical principles, analysing the associated mathematical models that comprise PDE and ODE systems, reviewing sound and efficient numerical methods for their approximation, and simulating both benchmark problems and clinically inspired problems. Mathematical modelling itself imposes tremendous challenges, due to the amazing complexity of the cardiovascular system and the need for computational methods that are stable, reliable and efficient. The final part is devoted to control and inverse problems, including parameter estimation, uncertainty quantification and the development of reduced-order models that are important when solving problems with high complexity, which would otherwise be out of reach.
| Author | : Frank B. Sachse |
| Publisher | : Springer |
| Total Pages | : 364 |
| Release | : 2005-01-12 |
| Genre | : Medical |
| ISBN | : 3540259260 |
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 |
| Total Pages | : 243 |
| Release | : 2018-11-03 |
| Genre | : Mathematics |
| ISBN | : 3319966499 |
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 | : Kenneth T Macleod |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 287 |
| Release | : 2013-11-14 |
| Genre | : Medical |
| ISBN | : 190897737X |
This book provides undergraduate and postgraduate students with an accessible and comprehensive overview of the fascinating area of cardiac electrophysiology. Using plain language and well-designed illustrations, it attempts to overcome the preconceptions of the subject as difficult to approach, given the complexity of intricate electrical cellular processes within the human heart. Based on lectures presented to intercalating BSc medical students, this book has been designed with the undergraduate in mind, but offers enough scope to be worthwhile at the postgraduate level.Readers of this book will feel more confident and at ease with electrical concepts and the important physiological mechanisms that govern the initiation and regulation of the heartbeat. This volume intends to bridge that difficult region between basic undergraduate lecture notes and original papers in an approachable way. It will be useful to students studying medicine, physiology, pharmacology, pharmacy and biology, particularly where their curricula includes not only cardiac physiology, but also neurobiology and muscle physiology.
| Author | : David Rosenbaum |
| Publisher | : CRC Press |
| Total Pages | : 675 |
| Release | : 2002-08-13 |
| Genre | : Medical |
| ISBN | : 0824743865 |
Provides an in-depth study of the theoretical and engineering principles behind the methods and technologies used to solve problems in experimental and clinical cardiac electrophysiology. Each chapter gives an extensive description of the principles underlying a simple method or technology and illustrates how it can be applied to solve problems in
| Author | : Callans, David |
| Publisher | : Lippincott Williams & Wilkins |
| Total Pages | : 2034 |
| Release | : 2023-09-19 |
| Genre | : Medical |
| ISBN | : 1975201175 |
Widely regarded as the premier text in this complex field, Josephson’s Clinical Cardiac Electrophysiology, Seventh Edition, provides a thorough understanding of the mechanisms of cardiac arrhythmias and the therapeutic interventions used to treat them. Dr. David J. Callans, personally chosen and trained by Dr. Mark Josephson, provides expert clinical insights and superb illustrations that highlight proven approaches and methods. With its strong focus on physiologic investigation and its role in clinical decision making, this comprehensive text is a must-have reference for cardiology fellows, electrophysiologists, and others in the EP lab.
| Author | : Pullan Andrew |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 448 |
| Release | : 2005-09-07 |
| Genre | : Science |
| ISBN | : 9813106565 |
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.
