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.
|Keywords:||Microtubule, Transcience, Recurrence, Phase transition, Birth-and-death process.|
|Full text:||(AM) Accepted Manuscript|
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|Publisher Web site:||http://dx.doi.org/10.1239/aap/1269611153|
|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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