Physical Review Letters · 2012 · 82 citations · 48 references
Length regulation of microtubules (MTs) is essential for many cellular processes. Molecular motors like kinesin-8, which move along MTs and also act as depolymerases, are known as key players in MT dynamics. However, the regulatory mechanisms of length control remain elusive. Here, we investigate a stochastic model accounting for the interplay between polymerization kinetics and motor-induced depolymerization. We determine the dependence of MT length and variance on rate constants and motor concentration. Moreover, our analyses reveal how collective phenomena lead to a well-defined MT length.
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Dynamic instability of microtubule growth
Tim Mitchison, Marc W. Kirschner · Nature · 1984 · 3.3K citations
Phase transitions and critical phenomena
D. P. Landau · Computing in Science & Engineering · 1999 · 1.1K citations