Dr Ostap Hryniv ostap.hryniv@durham.ac.uk
Associate Professor
Stochastic Model of Microtubule Dynamics
Hryniv, Ostap; Martínez Esteban, Antonio
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 |
Files
Accepted Journal Article
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Copyright Statement
The final publication is available at Springer via https://doi.org/10.1007/s10955-017-1855-2.
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