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Directed intermittent search model of microtubule cargo transport

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Introduction

Microtubule motor driven transport has been implicated in many critical processes in neurons. Examples include mRNA transport in dendrites and mitochondria transport in axons. We present a model of microtubule cargo transport that builds upon previous models by accounting for delivery of the cargo to the correct target. Using random search theory [1], we derive equations for the probability that a motor driven cargo moving along a one-dimensional track will find its target. We also derive equations for the average time to find the target, called the mean first passage time or mfpt. We then utilize a model reduction to approximate the governing system of hyperbolic master equations to a standard Fokker-Plank equation. The accuracy of our reduction can be verified by comparison to Monte-Carlo simulations. Using this reduction, we can consider a detailed biophysical model of bidirectional motor transport, known at the tug-of-war model, within the random search model. We conclude by proposing a model for ATP dependent transitions between search-oriented behavior and directed-transport-oriented behavior.

References

  1. 1.

    Bressloff PC, Newby J: Directed intermittent search for hidden targets. New J Phys.

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Author information

Correspondence to Jay M Newby.

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Open Access This article is published under license to BioMed Central Ltd. This is an Open Access article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Newby, J.M., Bressloff, P.C. Directed intermittent search model of microtubule cargo transport. BMC Neurosci 10, P24 (2009) doi:10.1186/1471-2202-10-S1-P24

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Keywords

  • Master Equation
  • Model Reduction
  • Random Search
  • Search Model
  • Correct Target