Neural fields with sigmoidal firing rates : approximate solutions

  title={Neural fields with sigmoidal firing rates : approximate solutions},
  author={Stephen Coombes and Helmut Schmidt},
Many tissue level models of neural networks are written in the language of nonlinear integro-differential equations. Analytical solutions have only been obtained for the special case that the nonlinearity is a Heaviside function. Thus the pursuit of even approximate solutions to such models is of interest to the broad mathematical neuroscience community. Here we develop one such scheme, for stationary and travelling wave solutions, that can deal with a certain class of smoothed Heaviside… CONTINUE READING


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