From a quantum mechanical description of the assembly processes in microtubules to their semiclassical nonlinear dynamics
| dc.contributor.author | Rezania, Vahid | |
| dc.contributor.author | Tuszynski, Jack A. | |
| dc.date.accessioned | 2014-10-15 | |
| dc.date.accessioned | 2022-05-27T01:13:18Z | |
| dc.date.available | 2022-05-27T01:13:18Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | In this paper a quantum mechanical description of the assembly/disassembly process for microtubules is proposed. We introduce creation and annihilation operators that raise or lower the microtubule length by a tubulin layer. Following that, the Hamiltonian and corresponding equations of motion are derived that describe the dynamics of microtubules. These Heisenberg-type equations are then transformed to semi-classical equations using the method of coherent structures. The latter equations are very similar to the phenomenological equations that describe dynamic instability of microtubules in a tubulin solution. | |
| dc.format.extent | 223.07 kb | |
| dc.format.mimetype | ||
| dc.identifier.citation | Rezania, V., & Tuszynski, J. (2007). From a quantum mechanical description of the assembly processes in microtubules to their semiclassical nonlinear dynamics. Quantum Biosystems, 1(1), 1–20. Retrieved from http://www.quantumbiosystems.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14078/177 | |
| dc.language | English | |
| dc.language.iso | en | |
| dc.rights | Attribution-NonCommercial-NoDerivs (CC BY-NC-ND) | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | microtubules | |
| dc.title | From a quantum mechanical description of the assembly processes in microtubules to their semiclassical nonlinear dynamics | en |
| dc.type | Article | |
| dspace.entity.type |
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