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A Probabilistic Model for Establishment of Neuron Polarity
Khanin, Konstantin; Khanin, Raya
Keyword(s): probabilistic model; neuron specification
Abstract: The main aim of this paper is to present a simple probabilistic model for the early stage of neuron growth: the specification on an axon out of several initially similar neurites. The model is a Markov process with competition between the growing neurites, wherein longer objects have more chances to grow, and parameter a determines the intensity of the competition. For a > 1 the model provides results which are qualitatively similar to the experimental ones, i.e. selection of one rapidly elongating axon out of several neurites while other less successful neurites stop growing at some random time. Rigorous mathematical proofs are given. Notes: Raya Khanin, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK.
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