Journal
JOURNAL OF MATHEMATICAL BIOLOGY
Volume 51, Issue 2, Pages 217-246Publisher
SPRINGER
DOI: 10.1007/s00285-004-0285-3
Keywords
intracellular transport; nerve cell; processive motor proteins; diffusion; maximum principle
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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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