A model of intracellular transport of particles in an axon.
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.
Friedman
Avner
A
Mathematical Biosciences Institute, The Ohio State University, 231 W 18th Avenue, Columbus, OH 43210, USA. afriedman@mbi.ohio-state.edu
Craciun
Gheorghe
G
D001370:Axonal Transport / Q000502:physiology*; D001369:Axons / Q000378:metabolism*; D016547:Kinesins / Q000378:metabolism; D008870:Microtubules / Q000378:metabolism; D008959:Models, Neurological; D009716:Numerical Analysis, Computer-Assisted; D015388:Organelles / Q000378:metabolism
D016547:Kinesins