A model of intracellular transport of particles in an axon.

نویسندگان

  • Avner Friedman
  • Gheorghe Craciun
چکیده

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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عنوان ژورنال:
  • Journal of mathematical biology

دوره 51 2  شماره 

صفحات  -

تاریخ انتشار 2005