A mathematical model of activity-dependent, anatomical segregation induced by competition for neurotrophic support

Biological cybernetics
T Elliott, N R Shadbolt

Abstract

Mathematical or computational models of activity-dependent neural competition typically impose competition in anatomically fixed networks by the use of synaptic normalisation, for which there is very little experimental support. Recent experimental evidence, however, strongly implicates neurotrophic factors in neural plasticity and competition, in addition to their well-known potent effects on neurite outgrowth and synaptogenesis. We therefore present a simple, mathematical model of anatomical segregation induces by activity-dependent competition for a limited supply of a neurotrophic factor provided by target cells to afferents. We extract the behaviour of the model in various regimes, in which the neurotrophic factor is either in critical supply or in abundant supply, by a combination of analytical and numerical methods, and study the effects of correlations in afferent inputs on competition. We apply the model to three different systems: ocular dominance column formation; elimination of polyneuronal innervation at the vertebrate neuromuscular junction; trigeminal brain stem whisker-related structure formation. Several classes of related predictions emerge, including the prediction that kittens reared with strabismus should r...Continue Reading

Citations

Jul 10, 2004·Journal of Physiology, Paris·Peter Dayan
Mar 29, 2003·Neural Networks : the Official Journal of the International Neural Network Society·Philip T. Quinlan
Jun 25, 1999·Proceedings. Biological Sciences·A van Ooyen, D J Willshaw
Nov 6, 1998·Neural Computation·T Elliott, N R Shadbolt
Dec 17, 2009·PLoS Computational Biology·Keith B GodfreyNicholas V Swindale
Dec 7, 2007·PLoS Computational Biology·Keith B Godfrey, Nicholas V Swindale

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