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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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