A model of intracellular transport of particles in an axon

被引：45

作者：

Friedman, A ^{[1
]}

Craciun, G ^{[1
]}

机构：

[1] Ohio State Univ, Math Biosci Inst, Columbus, OH 43210 USA

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 2005年 / 51卷 / 02期

关键词：

intracellular transport; nerve cell; processive motor proteins; diffusion; maximum principle;

D O I：

10.1007/s00285-004-0285-3

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：217 / 246

页数：30

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