| Literature DB >> 16012805 |
Avner Friedman1, Gheorghe Craciun.
Abstract
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.Mesh：
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Year: 2005 PMID： 16012805 DOI： 10.1007/s00285-004-0285-3
Source DB: PubMed Journal: J Math Biol ISSN： 0303-6812 Impact factor: 2.259