A first principle (3+1) dimensional model for microtubule polymerization
| dc.creator | Rezania, Vahid | |
| dc.creator | Tuszynski, Jack | |
| dc.date | 2008-10-22 | |
| dc.date.accessioned | 2026-06-02T21:47:49Z | |
| dc.description | In this paper we propose a microscopic model to study the polymerization of microtubules (MTs). Starting from fundamental reactions during MT's assembly and disassembly processes, we systematically derive a nonlinear system of equations that determines the dynamics of microtubules in 3D. %coexistence with tubulin dimers in a solution. We found that the dynamics of a MT is mathematically expressed via a cubic-quintic nonlinear Schrodinger (NLS) equation. Interestingly, the generic 3D solution of the NLS equation exhibits linear growing and shortening in time as well as temporal fluctuations about a mean value which are qualitatively similar to the dynamic instability of MTs observed experimentally. By solving equations numerically, we have found spatio-temporal patterns consistent with experimental observations. | |
| dc.description | 12 pages, 2 figures. Accepted in Physics Letters A | |
| dc.identifier | https://arxiv.org/abs/0810.4099 | |
| dc.identifier | http://arxiv.org/abs/0810.4099 | |
| dc.identifier | Physics Letters A 372 (2008) 7051--7056 | |
| dc.identifier | doi:10.1016/j.physleta.2008.10.038 | |
| dc.identifier.uri | https://demo.dspace.org/handle/10673/2576 | |
| dc.subject | Quantitative Methods | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Biomolecules | |
| dc.title | A first principle (3+1) dimensional model for microtubule polymerization | |
| dc.type | text |