Differential Equations For Studies In Computational Electrophysiology
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Differential Equations For Studies In Computational Electrophysiology
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Author : Karoline Horgmo Jæger
language : en
Publisher: Springer Nature
Release Date : 2023-05-27
Differential Equations For Studies In Computational Electrophysiology written by Karoline Horgmo Jæger and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-27 with Mathematics categories.
This open access text aims at giving you the simplest possible introduction to differential equations that are used in models of electrophysiology. It covers models at several spatial and temporal scales with associated numerical methods. The text demonstrates that a very limited number of fundamental techniques can be used to define numerical methods for equations ranging from ridiculously simple to extremely complex systems of partial differential equations. Every method is implemented in Matlab and the codes are freely available online. By using these codes, the reader becomes familiar with classical models of electrophysiology, like the cable equation, the monodomain model, and the bidomain model. But modern models that have just started to gain attention in the field of computational electrophysiology are also presented. If you just want to read one book, it should probably not be this one, but if you want a simple introduction to a complex field, it is worth considering the present text.
Computational Methods In Cardiac Electrophysiology
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Author : Matthijs Cluitmans
language : en
Publisher: Frontiers Media SA
Release Date : 2023-07-06
Computational Methods In Cardiac Electrophysiology written by Matthijs Cluitmans and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-06 with Science categories.
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.
Modeling Mesh Generation And Adaptive Numerical Methods For Partial Differential Equations
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Author : Ivo Babuska
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Modeling Mesh Generation And Adaptive Numerical Methods For Partial Differential Equations written by Ivo Babuska 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 2012-12-06 with Mathematics categories.
With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.
Numerical Solution Of Partial Differential Equations On Parallel Computers
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Author : Are Magnus Bruaset
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-05
Numerical Solution Of Partial Differential Equations On Parallel Computers written by Are Magnus Bruaset 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 2006-03-05 with Mathematics categories.
Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need for precise and computable process descriptions. The scienti?c ?elds of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs). Formulated as such equations, physical laws can become subject to computational and analytical studies. In the computational setting, the equations can be discreti ed for ef?cient solution on a computer, leading to valuable tools for simulation of natural and man-made processes. Numerical so- tion of PDE-based mathematical models has been an important research topic over centuries, and will remain so for centuries to come. In the context of computer-based simulations, the quality of the computed results is directly connected to the model’s complexity and the number of data points used for the computations. Therefore, computational scientists tend to ?ll even the largest and most powerful computers they can get access to, either by increasing the si e of the data sets, or by introducing new model terms that make the simulations more realistic, or a combination of both. Today, many important simulation problems can not be solved by one single computer, but calls for parallel computing.
Statistical Atlases And Computational Models Of The Heart Imaging And Modelling Challenges
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Author : Oscar Camara
language : en
Publisher: Springer
Release Date : 2013-04-03
Statistical Atlases And Computational Models Of The Heart Imaging And Modelling Challenges written by Oscar Camara and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-03 with Computers categories.
This book constitutes the thoroughly refereed post-conference proceedings of the Third International Workshop on Statistical Atlases and Computational Models of the Heart: Imaging and Modelling Challenges, STACOM 2012, held in conjunction with MICCAI 2012, in Nice, France, in October 2012. The 42 revised full papers were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on CFD challenge, DE-MRI segmentation challenge, LV landmark detection challenge, motion tracking analysis challenge, and regular papers.
Simula Research Laboratory
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Author : Aslak Tveito
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-22
Simula Research Laboratory written by Aslak Tveito 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 2009-10-22 with Mathematics categories.
When researchers gather around lunch tables, at conferences, or in bars, there are some topics that are more or less compulsory. The discussions are about the ho- less management of the university or the lab where they are working, the lack of funding for important research, politicians’ inability to grasp the potential of a p- ticularly promising ?eld, and the endless series of committees that seem to produce very little progress. It is common to meet excellent researchers claiming that they have almost no time to do research because writing applications, lecturing, and - tending to committee work seem to take most of their time. Very few ever come into a position to do something about it. With Simula we have this chance. We were handed a considerable annual grant and more or less left to ourselves to do whatever we thought would produce the best possible results. We wanted to create a place where researchers could have the time and conditions necessary to re?ect over dif?cult problems, uninterrupted by mundane dif?culties; where doctoral students could be properly supervised and learn the craft of research in a well-organized and professional manner; and where entrepreneurs could ?nd professional support in developing their research-based - plications and innovations.
Dynamical Systems Pdes And Networks For Biomedical Applications Mathematical Modeling Analysis And Simulations
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Author : André H. Erhardt
language : en
Publisher: Frontiers Media SA
Release Date : 2023-02-15
Dynamical Systems Pdes And Networks For Biomedical Applications Mathematical Modeling Analysis And Simulations written by André H. Erhardt and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-15 with Science categories.
Simulating Normal And Arrhythmic Dynamics From Sub Cellular To Tissue And Organ Level
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Author : Hans Dierckx
language : en
Publisher: Frontiers Media SA
Release Date : 2019-10-04
Simulating Normal And Arrhythmic Dynamics From Sub Cellular To Tissue And Organ Level written by Hans Dierckx and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-04 with categories.
Advances In Biomechanics And Tissue Regeneration
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Author : Mohamed H. Doweidar
language : en
Publisher: Academic Press
Release Date : 2019-08-13
Advances In Biomechanics And Tissue Regeneration written by Mohamed H. Doweidar and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-13 with Science categories.
Advances in Biomechanics and Tissue Regeneration covers a wide range of recent development and advances in the fields of biomechanics and tissue regeneration. It includes computational simulation, soft tissues, microfluidics, the cardiovascular system, experimental methods in biomechanics, mechanobiology and tissue regeneration. The state-of-the-art, theories and application are presented, making this book ideal for anyone who is deciding which direction to take their future research in this field. In addition, it is ideal for everyone who is exploring new fields or currently working on an interdisciplinary project in tissue biomechanics. - Combines new trends in biomechanical modelling and tissue regeneration - Offers a broad scope, covering the entire field of tissue biomechanics - Contains perspectives from engineering, medicine and biology, thus giving a holistic view of the field