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

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

2007-03-22

arxiv.org/abs/q-bio/0703050v1

Quantum Biosystems (2007) Vol. 1, 1 - 20

Biology

Quantitative Biology

Cell Behavior

20 pages, no figures, to appear in Quantum Biosystems

Scientific paper

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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