Modeling Excitable Tissue
The EMI Framework
Editors: Tveito, Aslak, Mardal, Kent-Andre, Rognes, Marie E. (Eds.)
Free Preview- This is a brief text that is accessible for a large audience with a background in computational mathematics
- The text introduces a state-of-the-art approach to simulation of excitable cells
- Software is available for all the models presented in the text
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- About this book
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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.
- About the authors
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Kent-Andre Mardal is a professor of mechanics at the University of Oslo and an adjunct research scientist at Simula Research Laboratory. He has published more than 90 scientific publications, including journal papers, two co-authored books and the co-edited the book about the FEniCS project, for which he was a core developer for many years. Research interests include computational modeling of various life science applications and robust, stable and accurate numerical schemes.
Marie E. Rognes is a research professor at Simula Research Laboratory and a founding member of the Young Academy of Norway. She has over 50 scientific publications and has delivered numerous keynote addresses and invited talks, including a TEDx talk. Her research is primarily focused on mathematical and computational modelling of fluid flow in the brain, and this work has been partially funded by an ERC starting grant.
Aslak Tveito is a professor of scientific computing at the University of Oslo, and the CEO of Simula Research Laboratory. He has co-authored three text books, one research monograph and many journal papers on computational physiology. His research interests are related to the use of computational methods to understand the dynamics of collections of excitable cells.
- Table of contents (7 chapters)
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Derivation of a Cell-Based Mathematical Model of Excitable Cells
Pages 1-13
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A Cell-Based Model for Ionic Electrodiffusion in Excitable Tissue
Pages 14-27
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Modeling Cardiac Mechanics on a Sub-Cellular Scale
Pages 28-43
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Operator Splitting and Finite Difference Schemes for Solving the EMI Model
Pages 44-55
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Solving the EMI Equations using Finite Element Methods
Pages 56-69
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Table of contents (7 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Modeling Excitable Tissue
- Book Subtitle
- The EMI Framework
- Editors
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- Aslak Tveito
- Kent-Andre Mardal
- Marie E. Rognes
- Series Title
- Reports on Computational Physiology
- Series Volume
- 7
- Copyright
- 2021
- Publisher
- Springer International Publishing
- Copyright Holder
- The Editor(s) (if applicable) and The Author(s)
- eBook ISBN
- 978-3-030-61157-6
- DOI
- 10.1007/978-3-030-61157-6
- Softcover ISBN
- 978-3-030-61156-9
- Series ISSN
- 2730-7735
- Edition Number
- 1
- Number of Pages
- XVII, 100
- Number of Illustrations
- 25 illustrations in colour
- Topics
