Dynamics of Microtubule Instabilities

Details Dynamics of Microtubule Instabilities Dynamics of Microtubule Instabilities

2007-03-14

arxiv.org/abs/q-bio/0703032v3

J. Stat. Mech. (2007) L05004

Biology

Quantitative Biology

Quantitative Methods

4 pages, 4 figures, for submission to JSTAT, short version of q-bio.QM/0703001. Slight revisions in response to referee commen

Scientific paper

10.1088/1742-5468/2007/05/L05004

We investigate the dynamics of an idealized model of microtubule growth that evolves by: (i) attachment of guanosine triphosphate (GTP) at rate lambda, (ii) conversion of GTP to guanosine diphosphate (GDP) at rate 1, and (iii) detachment of GDP at rate mu. As a function of these rates, a microtubule can grow steadily or its length can fluctuate wildly. For mu=0, we find the exact tubule and GTP cap length distributions, and power-law length distributions of GTP and GDP islands. For mu=infinity, we argue that the time between catastrophes, where the microtubule shrinks to zero length, scales as exp(lambda). We also find the phase boundary between a growing and shrinking microtubule.

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