Synaptic Formation Rate as a Control Parameter in a Model for the Ontogenesis of Retinotopy

  • Authors:

  • Junmei Zhu

  • Affiliations:

  • Frankfurt Institute for Advanced Studies, Johann Wolfgang Goethe University, Frankfurt, Germany 60438

  • Venue:
  • ICANN '08 Proceedings of the 18th international conference on Artificial Neural Networks, Part II
  • Year:
  • 2008

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Abstract

We study the shape of patterns formed under different values of a control parameter in a model system for the ontogenesis of retinotopy proposed by Häussler and von der Malsburg. Guided by linear modes, their eigenvalues and nonlinear interactions, a few deciding values of the synaptic formation rate 茂戮驴are chosen, under which final states are obtained using computer simulations of the full dynamics. We find that a precise topographic mapping can only be developed under a very narrow range of 茂戮驴close to its critical value. The allowed range of 茂戮驴is relaxed if the system is equipped with a proper structure, presumably by evolution.