Abstract
The cable equation was first derived to model transport of electrical signals in telegraphic cables. But it later gained enormous popularity as a model of transport of electrical signals along a neuronal axon. In Chapter 9, we will discuss how this equation is derived and how the different terms in the equation come about. But here, we will just take a simple version of the equations for granted and then try to solve them. We will observe that the few techniques we learned above are actually sufficient to solve the non-linear reaction-diffusion equations we consider here.
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Horgmo Jæger, K., Tveito, A. (2023). A Simple Cable Equation. In: Differential Equations for Studies in Computational Electrophysiology. Simula SpringerBriefs on Computing(), vol 14. Springer, Cham. https://doi.org/10.1007/978-3-031-30852-9_6
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DOI: https://doi.org/10.1007/978-3-031-30852-9_6
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Publisher Name: Springer, Cham
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