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MATLAB for Neuroscientists, 2nd Edition by Nicholas G. Hatsopoulos, Adam Seth Dickey, Tanya I. Baker, Marc D. Benayoun, Michael E. Lusignan, Pascal Wallisch

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Chapter 30

Fitzhugh-Nagumo Model

Traveling Waves

Pascal Wallisch

The purpose of this chapter is to learn how to model traveling waves in an excitable media. This entails the solution of a partial differential equation involving a first derivative in time coordinates and a second derivative in spatial coordinates. You will learn how to compute a second derivative in the MATLAB® software, and use a modification of the Fitzhugh-Nagumo model to generate traveling waves in both one and two dimensions.

Keywords

reaction-diffusion equation; Fitzhugh-Nagumo model; centered second difference; periodic boundary conditions; free boundary conditions; ordinary differential equation solver

30.1 Goals of This Chapter

The purpose of this chapter is to learn how to ...

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