Hryniv, Ostap and Martínez Esteban, Antonio (2017) 'Stochastic model of microtubule dynamics.', Journal of statistical physics., 169 (1). pp. 203-222.
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.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (409Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1007/s10955-017-1855-2 |
| Publisher statement: | The final publication is available at Springer via https://doi.org/10.1007/s10955-017-1855-2. |
| Date accepted: | 02 August 2017 |
| Date deposited: | 18 September 2017 |
| Date of first online publication: | 28 August 2017 |
| Date first made open access: | 28 August 2018 |
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