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Directed intermittent search model of microtubule cargo transport
BMC Neuroscience volume 10, Article number: P24 (2009)
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 , 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.
Bressloff PC, Newby J: Directed intermittent search for hidden targets. New J Phys.
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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
- Master Equation
- Model Reduction
- Random Search
- Search Model
- Correct Target