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    Stochastic models of intracellular transport

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    Type
    Article
    Authors
    Bressloff, Paul C.
    Newby, Jay M.
    KAUST Grant Number
    KUK-C1-013-4
    Date
    2013-01-09
    Permanent link to this record
    http://hdl.handle.net/10754/599736
    
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    Abstract
    The interior of a living cell is a crowded, heterogenuous, fluctuating environment. Hence, a major challenge in modeling intracellular transport is to analyze stochastic processes within complex environments. Broadly speaking, there are two basic mechanisms for intracellular transport: passive diffusion and motor-driven active transport. Diffusive transport can be formulated in terms of the motion of an overdamped Brownian particle. On the other hand, active transport requires chemical energy, usually in the form of adenosine triphosphate hydrolysis, and can be direction specific, allowing biomolecules to be transported long distances; this is particularly important in neurons due to their complex geometry. In this review a wide range of analytical methods and models of intracellular transport is presented. In the case of diffusive transport, narrow escape problems, diffusion to a small target, confined and single-file diffusion, homogenization theory, and fractional diffusion are considered. In the case of active transport, Brownian ratchets, random walk models, exclusion processes, random intermittent search processes, quasi-steady-state reduction methods, and mean-field approximations are considered. Applications include receptor trafficking, axonal transport, membrane diffusion, nuclear transport, protein-DNA interactions, virus trafficking, and the self-organization of subcellular structures. © 2013 American Physical Society.
    Citation
    Bressloff PC, Newby JM (2013) Stochastic models of intracellular transport. Rev Mod Phys 85: 135–196. Available: http://dx.doi.org/10.1103/RevModPhys.85.135.
    Sponsors
    This work was supported in part by the National Science Foundation (No. DMS-1120327) and by Award No. KUK-C1-013-4 made by King Abdullah University of Science and Technology (KAUST).
    Publisher
    American Physical Society (APS)
    Journal
    Reviews of Modern Physics
    DOI
    10.1103/RevModPhys.85.135
    ae974a485f413a2113503eed53cd6c53
    10.1103/RevModPhys.85.135
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