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Long-time behaviour in a model of microtubule growth.

Hryniv, O. and Menshikov, M. (2010) 'Long-time behaviour in a model of microtubule growth.', Advances in applied probability., 42 (1). pp. 268-291.


We study a continuous-time stochastic process on strings made of two types of particle, whose dynamics mimic the behaviour of microtubules in a living cell; namely, the strings evolve via a competition between (local) growth/shrinking as well as (global) hydrolysis processes. We give a complete characterization of the phase diagram of the model, and derive several criteria of the transient and recurrent regimes for the underlying stochastic process.

Item Type:Article
Keywords:Microtubule, Transcience, Recurrence, Phase transition, Birth-and-death process.
Full text:(AM) Accepted Manuscript
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Date accepted:No date available
Date deposited:21 February 2014
Date of first online publication:March 2010
Date first made open access:No date available

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