用势函数求解与时间无关的薛定谔方程求微管的离子流密度
Finding the Ion Current Density of Microtubules by defining a potential function for the same and Solving the time independent Schrodinger Equation
摘要：
在本文中，我们建立了基于二聚体分辨结构的微管模型。首先研究了单体的基本结构组成，然后计算了单体的静电势函数。随后，由于二聚体的环的单个单体内部的势函数被获得。考虑到微管B晶体结构中原纤-原丝与单体相互作用的势，我们得到了双阱势壁。量子力学上，由于隧道效应，离子可以穿过这个壁。我们求解了与时间无关的薛定谔方程，计算了离子流的传输效率，并将其用于离子流密度的计算。
英文摘要：
In this paper, we model a microtubule based on its dimer resolution structure. First, the fundamental structural components were studied and then electrostatic potential function for a single monomer was calculated. Subsequently, the potential function inside a single monomer due to a ring of dimers was obtained. Considering the potential due to protofilament-protofilament interaction with a monomer in a B crystal structure of a microtubule, we obtain a double well potential wall. Quantum mechanically the ions can pass through this wall because of the Tunnelling effect. We solve the time independent Schrodinger Equation, calculate the transmission efficiency of ion flow and use the latter in the calculation of ion current density.
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