dorsal/arxiv
View SchemaFrom a quantum mechanical description of the assembly processes in microtubules to their semiclassical nonlinear dynamics
| Authors | Vahid Rezania, Jack Tuszynski |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0703050 |
| URL | https://arxiv.org/abs/q-bio/0703050 |
| Journal | Quantum Biosystems (2007) Vol. 1, 1 - 20 |
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.
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"abstract": "In this paper a quantum mechanical description of the assembly/disassembly\nprocess for microtubules is proposed. We introduce creation and annihilation\noperators that raise or lower the microtubule length by a tubulin layer.\nFollowing that, the Hamiltonian and corresponding equations of motion are\nderived that describe the dynamics of microtubules. These Heisenberg-type\nequations are then transformed to semi-classical equations using the method of\ncoherent structures. The latter equations are very similar to the\nphenomenological equations that describe dynamic instability of microtubules in\na tubulin solution.",
"arxiv_id": "q-bio/0703050",
"authors": [
"Vahid Rezania",
"Jack Tuszynski"
],
"categories": [
"q-bio.CB",
"q-bio.BM",
"q-bio.NC"
],
"journal_ref": "Quantum Biosystems (2007) Vol. 1, 1 - 20",
"title": "From a quantum mechanical description of the assembly processes in microtubules to their semiclassical nonlinear dynamics",
"url": "https://arxiv.org/abs/q-bio/0703050"
},
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