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Differential Equations for Studies in Computational Electrophysiology: Simula SpringerBriefs on Computing, cartea 14

Autor Karoline Horgmo Jæger, Aslak Tveito
en Limba Engleză Paperback – 28 mai 2023
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.

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Specificații

ISBN-13: 9783031308512
ISBN-10: 3031308514
Ilustrații: XV, 128 p. 38 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.21 kg
Ediția:1st ed. 2023
Editura: Springer Nature Switzerland
Colecția Springer
Seriile Simula SpringerBriefs on Computing, Reports on Computational Physiology

Locul publicării:Cham, Switzerland

Cuprins

1. 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.

Caracteristici

This text provides easy access to a field of growing importance It requires only knowledge of basic calculus and linear algebra The text is open access, and the software for all examples of the text is freely available