From a quantum mechanical description of the assembly processes in microtubules to their semiclassical nonlinear dynamics
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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.
20 pages, no figures, to appear in Quantum Biosystems
20 pages, no figures, to appear in Quantum Biosystems
Keywords
Cell Behavior, Biomolecules, Neurons and Cognition