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Recent Mathematical Models of Axonal Transport

In: Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology

Author

Listed:
  • Chuan Xue

    (Ohio State University, Department of Mathematics)

  • Gregory Jameson

    (Ohio State University, Biophysics Graduate Program)

Abstract

An axon is a long thin projection of a neuron that allows for rapid electrochemical communications with other cells over long distances. Axonal transport refers to the stochastic, bidirectional movement of organelles and proteins along cytoskeletal polymers inside an axon, powered by molecular motor proteins. The movement from the cell body to the axon terminal is called anterograde transport and the movement in the opposite direction is called retrograde transport. Axonal transport is a vital process for the axon to survive and maintain its regular shape. Mathematical models have been developed to help understand how cargoes are transported inside an axon and how impairment of axonal transport affects cargo distribution. In this chapter, we review recent mathematical models of axonal transport and discuss open problems in this area.

Suggested Citation

  • Chuan Xue & Gregory Jameson, 2017. "Recent Mathematical Models of Axonal Transport," Springer Books, in: David Holcman (ed.), Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology, pages 265-285, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-62627-7_12
    DOI: 10.1007/978-3-319-62627-7_12
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