Stochastic Model of Microtubule Dynamics

Hryniv, Ostap; Martínez Esteban, Antonio

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