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

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 نشر من قبل Vahid Rezania
 تاريخ النشر 2007
  مجال البحث علم الأحياء
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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.



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