Mathematical Model of Traveling Wave Front Solutions in a Neural Network with a Lateral Excitation Connection Function

Authors

  • Pornpis Yimprayoon Department of Mathematics, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng Saen Campus, Nakhon Pathom 73140, Thailand.
  • Sittipong Ruktamatakul Department of Mathematics, Faculty of Liberal Arts and Science, Kasetsart University, Kamphaeng Saen Campus, Nakhon Pathom 73140, Thailand.

Keywords:

traveling wave front solutions, mathematical modeling, neural network, neural fields, wave front shape

Abstract

The shape of a traveling wave front solution for double continuous layers of nerve cells was considered, involving a mutually inhibitory layer of cells coupled via inhibitory connections to a second layer of cells that provides excitatory feedback connections to the first layer. Results are presented on the qualitative behavior of wave fronts that depends on the threshold parameter and the time scale parameter.

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Published

2012-04-30

How to Cite

Yimprayoon, Pornpis, and Sittipong Ruktamatakul. 2012. “Mathematical Model of Traveling Wave Front Solutions in a Neural Network With a Lateral Excitation Connection Function”. Agriculture and Natural Resources 46 (2). Bangkok, Thailand:325-33. https://li01.tci-thaijo.org/index.php/anres/article/view/242813.

Issue

Vol. 46 No. 2 (2012): March-April

Section

Research Article

License

online 2452-316X print 2468-1458/Copyright © 2022. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/),
production and hosting by Kasetsart University of Research and Development Institute on behalf of Kasetsart University.