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Long-time behaviour in a model of microtubule growth

Hryniv, O.; Menshikov, M.

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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 Mar 28, 2024
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.

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