A model of intracellular transport of particles in an axon
A model of intracellular transport of particles in an axon
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DOI：
10.1007/s00285-004-0285-3
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发表时间：
2005-08-01
影响因子：
1.9
通讯作者：
Craciun, G
中科院分区：
文献类型：
--
作者：
Friedman, A;Craciun, G
在本文中，我们建立了细胞器和囊泡沿着神经细胞轴突的细胞内运输模型。这些颗粒在运动蛋白的帮助下通过沿着微管的行进运动和通过扩散交替运动。该模型涉及一个退化的扩散方程组。我们证明了一个最大值原理，并建立了唯一解的存在性和行为。数值结果表明，如何输运的质量依赖于模型的相关参数。
In this paper we develop a model of intracellular transport of cell organelles and vesicles along the axon of a nerve cell. These particles are moving alternately by processive motion along a microtubule with the aid of motor proteins, and by diffusion. The model involves a degenerate system of diffusion equations. We prove a maximum principle and establish existence and behavior of a unique solution. Numerical results show how the transportation of mass depends on the relevant parameters of the model.