Long time behaviour in a model of microtubule growth
Probability
2010-02-01 v1
Abstract
We study a continuous time stochastic process on strings made of two types of particles, whose dynamics mimics 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.
Cite
@article{arxiv.1001.5469,
title = {Long time behaviour in a model of microtubule growth},
author = {O. Hryniv and M. Menshikov},
journal= {arXiv preprint arXiv:1001.5469},
year = {2010}
}
Comments
To appear in Advances in Applied Probability