A model of intracellular transport of particles in an axon |
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Authors: | Avner Friedman Gheorghe Craciun |
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Affiliation: | (1) Mathematical Biosciences Institute, The Ohio State University, 231 W 18th Avenue, Columbus, OH, 43210 |
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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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Keywords: | 35E99 35J70 92C35 |
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