MODELING OF ORGANELLE ENTRY IN AN AXON AND DENDRITE
Abstract
The purpose of this paper is to develop a mathematical description of cargo transport in the entrance regions of axons and dendrites. The model accounts for the difference in microtubule (MT) orientation between axons and dendrites: axons have a uniform MT polarity orientation while dendrites have a mixed MT polarity orientation. Because of that, cargos pulled by dynein motors can enter dendrites but cannot enter axons. It is thus assumed that cargos are targeted to axons by associating them with kinesin motors and cargos are targeted to dendrites by associating them with dynein motors. Analytical solutions of the developed equations describing cargo concentrations in the entrance regions of axons and dendrites are obtained.