Modeling Excitable Tissue

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Modeling Excitable Tissue

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Author : Aslak Tveito
language : en
Publisher: Springer Nature
Release Date : 2020-10-30

Modeling Excitable Tissue written by Aslak Tveito and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-30 with Mathematics categories.

This open access volume presents a novel computational framework for understanding how collections of excitable cells work. The key approach in the text is to model excitable tissue by representing the individual cells constituting the tissue. This is in stark contrast to the common approach where homogenization is used to develop models where the cells are not explicitly present. The approach allows for very detailed analysis of small collections of excitable cells, but computational challenges limit the applicability in the presence of large collections of cells.

Concurrency Graphs And Models

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Author : Pierpaolo Degano
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-06-03

Concurrency Graphs And Models written by Pierpaolo Degano 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 2008-06-03 with Computers categories.

This Festschrift volume, pubished in honor of Ugo Montanari on the occasion of his 65th birthday, contains 43 papers, written by friends and colleagues, all leading scientists in their own right, who congregated at a celebratory symposium held on June 12, 2008, in Pisa. The volume consists of seven sections, six of which are dedicated to the main research areas to which Ugo Montanari has contributed: Graph Transformation; Constraint and Logic Programming; Software Engineering; Concurrency; Models of Computation; and Software Verification. Each of these six sections starts with an introductory paper giving an account of Ugo Montanari’s contribution to the area and describing the papers in the section. The final section consists of a number of papers giving a laudation of Ugo Montanari’s numerous achievements.

Modelling Organs Tissues Cells And Devices

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Author : Socrates Dokos
language : en
Publisher: Springer
Release Date : 2017-03-08

Modelling Organs Tissues Cells And Devices written by Socrates Dokos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-08 with Technology & Engineering categories.

This book presents a theoretical and practical overview of computational modeling in bioengineering, focusing on a range of applications including electrical stimulation of neural and cardiac tissue, implantable drug delivery, cancer therapy, biomechanics, cardiovascular dynamics, as well as fluid-structure interaction for modelling of organs, tissues, cells and devices. It covers the basic principles of modeling and simulation with ordinary and partial differential equations using MATLAB and COMSOL Multiphysics numerical software. The target audience primarily comprises postgraduate students and researchers, but the book may also be beneficial for practitioners in the medical device industry.

Digital Human Modeling

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Author : Vincent D. Duffy
language : en
Publisher: Springer
Release Date : 2007-08-24

Digital Human Modeling written by Vincent D. Duffy and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-24 with Computers categories.

This book constitutes the refereed proceedings of the First International Conference on Digital Human Modeling, DHM 2007, held in Beijing, China in July 2007. The papers thoroughly cover the thematic area of digital human modeling, addressing the following major topics: shape and movement modeling and anthropometry, building and applying virtual humans, medical and rehabilitation applications, as well as industrial and ergonomic applications.

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.

Modeling Biological Systems

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Author : James W. Haefner
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-05-06

Modeling Biological Systems written by James W. Haefner 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 2005-05-06 with Science categories.

I Principles 1 1 Models of Systems 3 1. 1 Systems. Models. and Modeling . . . . . . . . . . . . . . . . . . . . 3 1. 2 Uses of Scientific Models . . . . . . . . . . . . . . . . . . . . . . . . 4 1. 3 Example: Island Biogeography . . . . . . . . . . . . . . . . . . . . . 6 1. 4 Classifications of Models . . . . . . . . . . . . . . . . . . . . . . . . 10 1. 5 Constraints on Model Structure . . . . . . . . . . . . . . . . . . . . . 12 1. 6 Some Terminology . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1. 7 Misuses of Models: The Dark Side . . . . . . . . . . . . . . . . . . . 13 1. 8 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2 The Modeling Process 17 2. 1 Models Are Problems . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2. 2 Two Alternative Approaches . . . . . . . . . . . . . . . . . . . . . . 18 2. 3 An Example: Population Doubling Time . . . . . . . . . . . . . . . . 24 2. 4 Model Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 2. 5 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 3 Qualitative Model Formulation 32 3. 1 How to Eat an Elephant . . . . . . . . . . . . . . . . . . . . . . . . . 32 3. 2 Forrester Diagrams . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 3. 3 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 3. 4 Errors in Forrester Diagrams . . . . . . . . . . . . . . . . . . . . . . 44 3. 5 Advantages and Disadvantages of Forrester Diagrams . . . . . . . . . 44 3. 6 Principles of Qualitative Formulation . . . . . . . . . . . . . . . . . . 45 3. 7 Model Simplification . . . . . . . . . . . . . . . . . . . . . . . . . . 47 3. 8 Other Modeling Problems . . . . . . . . . . . . . . . . . . . . . . . . 49 viii Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3. 9 Exercises 53 4 Quantitative Model Formulation: I 4. 1 From Qualitative to Quantitative . . . . . . . . . . . . . . . . . Finite Difference Equations and Differential Equations 4. 2 . . . . . . . . . . . . . . . . 4. 3 Biological Feedback in Quantitative Models . . . . . . . . . . . . . . . . . . . . . . . . . . 4. 4 Example Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4. 5 Exercises 5 Quantitative Model Formulation: I1 81 . . . . . . . . . . . . . . . . . . . . . . . . . . . 5. 1 Physical Processes 81 . . . . . . . . . . . . . . . 5. 2 Using the Toolbox of Biological Processes 89 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5. 3 Useful Functions 96 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5. 4 Examples 102 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5. 5 Exercises 104 6 Numerical Techniques 107 . . . . . . . . . . . . . . . . . . . . . . . 6. 1 Mistakes Computers Make 107 . . . . . . . . . . . . . . . . . . . . . . . . . . 6. 2 Numerical Integration 110 . . . . . . . . . . . . . . . . 6. 3 Numerical Instability and Stiff Equations 115 . . . . . . . . . . . . . .

Automation Theory And Modeling Of Biological Systems

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Author : Tsetlin
language : en
Publisher: Academic Press
Release Date : 1974-02-08

Automation Theory And Modeling Of Biological Systems written by Tsetlin and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-02-08 with Technology & Engineering categories.

Automation Theory and Modeling of Biological Systems

Structure And Function In Excitable Cells

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Author : Donald Cheng
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Structure And Function In Excitable Cells written by Donald Cheng 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 2013-11-11 with Science categories.

This book is a collection of up-to-date research reviews dealing with various aspects of the structure and function of excitable cells. Its overall objective is to further the search for a better understanding of the mechanism of excitation on a structural and physicochemical basis. The chapters are written by active investigators from a variety of disciplines, repre senting many different points of view. Their complementary fields of expertise give this book the rare feature of extraordinary breadth. Excitability is a fundamental property of many biological systems. The mechanisms by which nerve impulses are initiated and propagated, and by which rhythmical activities are produced in nerve, muscle, and cardiac cells, can be fully elucidated only when the process of excitation is derived from fundamental principles applied to known structural forms, at both the macroscopic and the molecular level. The problems of excitation are complex, requiring knowledge of many aspects of cells, including their morphology, elec trobiology, chemical physics, and biochemistry.

Functional Imaging And Modeling Of The Heart

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Author : Alejandro F. Frangi
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-05-31

Functional Imaging And Modeling Of The Heart written by Alejandro F. Frangi 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 2005-05-31 with Computers categories.

This book constitutes the refereed proceedings of the Third International Workshop on Functional Imaging and Modeling of the Heart, FIMH 2005, held in Barcelona, Spain in June 2005. The 47 revised full papers presented were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on modeling of the heart: anatomy extraction and description; electro-physiology and electro- and magnetography; modeling of the cardiac mechanisms and functions; and cardiac motion estimation.

Biomathematics Modelling And Simulation

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Author : Jagadis Chandra Misra
language : en
Publisher: World Scientific
Release Date : 2006-09-01

Biomathematics Modelling And Simulation written by Jagadis Chandra Misra and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-01 with Science categories.

This book on modelling and simulation in biomathematics will be invaluable to researchers who are interested in the emerging areas of the field. Graduate students in related areas as well as lecturers will also find it beneficial. Some of the chapters have been written by distinguished experts in the field.