Dr Ostap Hryniv ostap.hryniv@durham.ac.uk
Associate Professor
Long-time behaviour in a model of microtubule growth
Hryniv, O.; Menshikov, M.
Authors
M. Menshikov
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.
Citation
Hryniv, O., & Menshikov, M. (2010). Long-time behaviour in a model of microtubule growth. Advances in Applied Probability, 42(1), 268-291. https://doi.org/10.1239/aap/1269611153
Journal Article Type | Article |
---|---|
Publication Date | Mar 1, 2010 |
Deposit Date | Feb 26, 2011 |
Publicly Available Date | Feb 21, 2014 |
Journal | Advances in Applied Probability |
Print ISSN | 0001-8678 |
Electronic ISSN | 1475-6064 |
Publisher | Applied Probability Trust |
Peer Reviewed | Peer Reviewed |
Volume | 42 |
Issue | 1 |
Pages | 268-291 |
DOI | https://doi.org/10.1239/aap/1269611153 |
Keywords | Microtubule, Transcience, Recurrence, Phase transition, Birth-and-death process. |
Files
Accepted Journal Article
(328 Kb)
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