From a quantum mechanical description of the assembly processes in microtubules to their semiclassical nonlinear dynamics
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.
Rezania, V., & Tuszynski, J. (2007). From a quantum mechanical description of the assembly processes in microtubules to their semiclassical nonlinear dynamics. Quantum Biosystems, 1(1), 1–20. Retrieved from http://www.quantumbiosystems.org
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