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Long-Time Behaviour in a Model of Microtubule Growth
Published online by Cambridge University Press: 01 July 2016
Abstract
We study a continuous-time stochastic process on strings made of two types of particle, whose dynamics mimic the behaviour of microtubules in a living cell; namely, the strings evolve via a competition between (local) growth/shrinking as well as (global) hydrolysis processes. We give a complete characterization of the phase diagram of the model, and derive several criteria of the transient and recurrent regimes for the underlying stochastic process.
MSC classification
- Type
- General Applied Probability
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- Copyright © Applied Probability Trust 2010