School of Mathematics

Gabriel Lord

Gabriel Lord abstract

School of Mathematical & Computer Sciences, Heriot-Watt University

A numerical method for stochastic travelling waves in neural tissue

A method for computing travelling wave solutions to stochastically forced PDEs is to move to a co-moving frame. A key numerical example was the stochastic Nagumo equation and this technique was further used to examine Baer-Rinzel models of spiny dendritic tissue.We will introduce this method here.Instead of applying the method to PDE based models we examine itsapplication to 1D and 2D neural field equations in the presence ofnoise. We briefly discuss the discretization for the evolution of the integral equation. We then consider the case wherethe wave is frozen. We also illustrate that the numerical solution ofstochastic waved by freezing is compatible with the multilevel MC method.