论文标题
快速和慢速轴突运输：基于货物和分子电动机耦合动力学的统一方法
The fast and the slow axonal transport: a unified approach based on cargo and molecular motors coupled dynamics
论文作者
论文摘要
观察到的大差异的起源与沿轴突微管传达的速率的速率仍然是文献中争论的问题。有证据表明，某些神经退行性疾病可能是由对相关运输过程的干扰引起的。在此激励的情况下，我们采用了一个模型来研究某些货物的迁移率，这些货物与拥挤的微管上的分子电动机相结合。对于某些初始和边界条件，我们使用特征方法对汉堡类型的方程式解决，这是由平均场方法引起的原始显微镜随机模型。数值探索了非扰动限制的扩展。在这种情况下，我们能够弄清条件下，仅通过更改所考虑的轨道上的电动机数量，尺寸的平均速度可能与数量级不同。然后，我们讨论将这些理论预测与有关轴突传输的可用实验数据联系起来的可能性。
The origins of the large differences observed to the rates with which the diverse particles are conveyed along axonal microtubules are still a matter of debate in the literature. There is evidence that certain neurodegenerative diseases may be triggered by disturbances to the related transport processes. Motivated by this, we employ a model to investigate the mobility properties of certain cargoes which dynamics are coupled with that of molecular motors on crowded microtubules. For certain initial and boundary conditions, we use the method of characteristics to resolve perturbatively the pair of equations of the Burgers type resulting from a mean-field approach to the original microscopic stochastic model. Extensions to the non-perturbative limits are explored numerically. In this context, we were able to figure out conditions under which cargos average velocities may differ up to orders of magnitude just by changing the number of motors on the considered track. We then discuss possibilities to connect these theoretical predictions with available experimental data about axon transport.
