From a quantum mechanical description of the assembly processes in microtubules to their semiclassical nonlinear dynamics

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dc.creatorRezania, Vahid
dc.creatorTuszynski, Jack
dc.date2007-03-22
dc.date.accessioned2026-07-07T08:02:26Z
dc.date.available2026-07-07T08:02:26Z
dc.descriptionIn 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.description20 pages, no figures, to appear in Quantum Biosystems
dc.identifierhttps://arxiv.org/abs/q-bio/0703050
dc.identifierhttp://arxiv.org/abs/q-bio/0703050
dc.identifierQuantum Biosystems (2007) Vol. 1, 1 - 20
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129231
dc.subjectCell Behavior
dc.subjectBiomolecules
dc.subjectNeurons and Cognition
dc.titleFrom a quantum mechanical description of the assembly processes in microtubules to their semiclassical nonlinear dynamics
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