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. 2005 Aug;51(2):217-46.
doi: 10.1007/s00285-004-0285-3. Epub 2005 Jul 13.

A model of intracellular transport of particles in an axon

Avner Friedman  1 , Gheorghe Craciun
Affiliations

A model of intracellular transport of particles in an axon

Avner Friedman et al. J Math Biol. 2005 Aug.

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.

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