Summary
We consider the continuous field model of neural populations with the addition of a distribution of transmission speeds. The speed distribution arises as a result of the natural variability of the properties of axons, such as their degree of myelination. We analyze the stability and bifurcations of equilibrium solutions for the resulting field dynamics. Using a perturbation approach, we show that the speed distribution affects the frequency of bifurcating periodic solutions and the phase speed of traveling waves. The theoretical findings are illustrated by numerical calculations.
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Atay, F.M., Hutt, A. (2008). Dynamics of Neural Fields with Distributed Transmission Speeds. In: Deutsch, A., et al. Mathematical Modeling of Biological Systems, Volume II. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4556-4_18
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DOI: https://doi.org/10.1007/978-0-8176-4556-4_18
Publisher Name: Birkhäuser Boston
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