Differential Equations for Studies in Computational Electrophysiology / by Karoline Horgmo Jæger, Aslak Tveito.

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 fundament...

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Bibliographic Details
Superior document:Reports on Computational Physiology, 14
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TeilnehmendeR:
Place / Publishing House:Cham : : Springer Nature Switzerland :, Imprint: Springer,, 2023.
Year of Publication:2023
Edition:1st ed. 2023.
Language:English
Series:Reports on Computational Physiology, 14
Physical Description:1 online resource (134 pages)
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Table of Contents:
  • 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.