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 α 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 α close to its critical value. The allowed range of α is relaxed if the system is equipped with a proper structure, presumably by evolution.
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Zhu, J. (2008). Synaptic Formation Rate as a Control Parameter in a Model for the Ontogenesis of Retinotopy. In: Kůrková, V., Neruda, R., Koutník, J. (eds) Artificial Neural Networks - ICANN 2008. ICANN 2008. Lecture Notes in Computer Science, vol 5164. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87559-8_48
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DOI: https://doi.org/10.1007/978-3-540-87559-8_48
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