dorsal/arxiv
View SchemaDynamics of Microtubule Instabilities
| Authors | T. Antal, P. L. Krapivsky, S. Redner |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0703032 |
| URL | https://arxiv.org/abs/q-bio/0703032 |
| DOI | 10.1088/1742-5468/2007/05/L05004 |
| Journal | J. Stat. Mech. (2007) L05004 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
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.
{
"annotation_id": "4fe27b72-3366-4bfb-955d-a890d55232a1",
"date_created": "2026-03-02T18:01:35.440000Z",
"date_modified": "2026-03-02T18:01:35.440000Z",
"file_hash": "d36e1e882d44d1ea07814e18cde28234b4d7d1580e22894f82758191e056d99a",
"private": false,
"record": {
"abstract": "We investigate the dynamics of an idealized model of microtubule growth that\nevolves by: (i) attachment of guanosine triphosphate (GTP) at rate lambda, (ii)\nconversion of GTP to guanosine diphosphate (GDP) at rate 1, and (iii)\ndetachment of GDP at rate mu. As a function of these rates, a microtubule can\ngrow steadily or its length can fluctuate wildly. For mu=0, we find the exact\ntubule and GTP cap length distributions, and power-law length distributions of\nGTP and GDP islands. For mu=infinity, we argue that the time between\ncatastrophes, where the microtubule shrinks to zero length, scales as\nexp(lambda). We also find the phase boundary between a growing and shrinking\nmicrotubule.",
"arxiv_id": "q-bio/0703032",
"authors": [
"T. Antal",
"P. L. Krapivsky",
"S. Redner"
],
"categories": [
"q-bio.QM",
"cond-mat.stat-mech",
"physics.bio-ph",
"q-bio.BM"
],
"doi": "10.1088/1742-5468/2007/05/L05004",
"journal_ref": "J. Stat. Mech. (2007) L05004",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Dynamics of Microtubule Instabilities",
"url": "https://arxiv.org/abs/q-bio/0703032"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "802f5a83-e6f7-46eb-8a39-3e69b1edbafc",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}