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

Vahid Rezania; Jack Tuszynski

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

Vahid Rezania·Jack Tuszynski

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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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Vahid Rezania, Jack Tuszynski. 2007-03-22. From a quantum mechanical description of the assembly processes in microtubules to their semiclassical nonlinear dynamics. https://arxiv.org/abs/q-bio/0703050

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