Hryniv, Ostap and Martínez Esteban, Antonio (2017) 'Stochastic model of microtubule dynamics.', Journal of statistical physics., 169 (1). pp. 203-222.
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.
|Full text:||(AM) Accepted Manuscript|
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|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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