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OverviewThis 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. Full Product DetailsAuthor: Karoline Horgmo Jæger , Aslak TveitoPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 1st ed. 2023 Volume: 14 Weight: 0.232kg ISBN: 9783031308512ISBN 10: 3031308514 Pages: 128 Publication Date: 28 May 2023 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1. Getting Started.- 2. A System of Ordinary Differential Equations.- 3. The Diffusion Equation.- 4. Implicit Numerical Methods.- 5. Improved Accuracy.- 6. A Simple Cable Equation.- 7. Operator Splitting.- 8. Membrane Models.- 9. The Cable Equation.- 10. Spatial Models of Cardiac Electrophysiology.- 11. The Extracellular-Membrane-Intracellular (EMI) Model.- 12. The Poisson-Nernst-Planck (PNP) Model.- Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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