Rubinow S I, Blum J J
Biophys J. 1980 Apr;30(1):137-47. doi: 10.1016/S0006-3495(80)85082-X.
A theoretical model of intra-axonal transport is proposed that presupposes a carrier system moving down the axon in a distal direction. Protein and particle transport is achieved by their reversible association with the distally moving carriers. Mathematical equations representing the concentrations of moving carriers and proteins and/or particles within the axon at any position and time are proposed. Analysis of the equations demonstrates that a traveling wave solution for the particle concentration (an experimental fact) is possible provided the chemical interaction between particles and carriers exhibits positive cooperativity. The phase velocity of the wave solution is interpreted as the observed velocity of the intra-axonal transport, known to be independent of position of observation. In addition, the theory predicts a spectrum of transport velocities for different proteins, in agreement with observations. The velocity of a given protein is dependent on its affinity to the carrier.
提出了一种轴突内运输的理论模型,该模型预先假定存在一个沿轴突向远端移动的载体系统。蛋白质和颗粒的运输是通过它们与向远端移动的载体的可逆结合来实现的。提出了表示轴突内任何位置和时间移动载体以及蛋白质和/或颗粒浓度的数学方程。对方程的分析表明,只要颗粒与载体之间的化学相互作用表现出正协同性,颗粒浓度的行波解(一个实验事实)就是可能的。波解的相速度被解释为观察到的轴突内运输速度,已知该速度与观察位置无关。此外,该理论预测了不同蛋白质的运输速度谱,与观察结果一致。给定蛋白质的速度取决于其对载体的亲和力。