Hryniv, O. and Menshikov, M. (2010) 'Long-time behaviour in a model of microtubule growth.', Advances in applied probability., 42 (1). pp. 268-291.
Abstract
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 |
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Keywords: | Microtubule, Transcience, Recurrence, Phase transition, Birth-and-death process. |
Full text: | (AM) Accepted Manuscript Download PDF (321Kb) |
Status: | Peer-reviewed |
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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