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Stochastic Model of Microtubule Dynamics

Hryniv, Ostap; Martínez Esteban, Antonio

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Authors

Antonio Martínez Esteban



Abstract

We introduce a continuous time stochastic process on strings made of two types of particle, whose dynamics mimics that of microtubules in a living cell. The long term behaviour of the system is described in terms of the velocity v of the string end. We show that v is an analytic function of its parameters and study its monotonicity properties. We give a complete characterisation of the phase diagram of the model and derive several criteria of the growth ( v>0v>0 ) and the shrinking ( v<0v<0 ) regimes of the dynamics.

Citation

Hryniv, O., & Martínez Esteban, A. (2017). Stochastic Model of Microtubule Dynamics. Journal of Statistical Physics, 169(1), 203-222. https://doi.org/10.1007/s10955-017-1855-2

Journal Article Type Article
Acceptance Date Aug 2, 2017
Online Publication Date Aug 28, 2017
Publication Date Oct 1, 2017
Deposit Date Sep 18, 2017
Publicly Available Date Aug 28, 2018
Journal Journal of Statistical Physics
Print ISSN 0022-4715
Electronic ISSN 1572-9613
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 169
Issue 1
Pages 203-222
DOI https://doi.org/10.1007/s10955-017-1855-2
Public URL https://durham-repository.worktribe.com/output/1344836

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