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    Perturbation analysis of spontaneous action potential initiation by stochastic ion channels

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    Type
    Article
    Authors
    Keener, James P.
    Newby, Jay M.
    KAUST Grant Number
    KUK-C1-013-4
    Date
    2011-07-25
    Permanent link to this record
    http://hdl.handle.net/10754/599172
    
    Metadata
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    Abstract
    A stochastic interpretation of spontaneous action potential initiation is developed for the Morris-Lecar equations. Initiation of a spontaneous action potential can be interpreted as the escape from one of the wells of a double well potential, and we develop an asymptotic approximation of the mean exit time using a recently developed quasistationary perturbation method. Using the fact that the activating ionic channel's random openings and closings are fast relative to other processes, we derive an accurate estimate for the mean time to fire an action potential (MFT), which is valid for a below-threshold applied current. Previous studies have found that for above-threshold applied current, where there is only a single stable fixed point, a diffusion approximation can be used. We also explore why different diffusion approximation techniques fail to estimate the MFT. © 2011 American Physical Society.
    Citation
    Keener JP, Newby JM (2011) Perturbation analysis of spontaneous action potential initiation by stochastic ion channels. Phys Rev E 84. Available: http://dx.doi.org/10.1103/PhysRevE.84.011918.
    Sponsors
    This publication was based on work supported in part by the National Science Foundation (DMS-0718036) and by Award No KUK-C1-013-4 made by King Abdullah University of Science and Technology (KAUST).
    Publisher
    American Physical Society (APS)
    Journal
    Physical Review E
    DOI
    10.1103/PhysRevE.84.011918
    PubMed ID
    21867224
    ae974a485f413a2113503eed53cd6c53
    10.1103/PhysRevE.84.011918
    Scopus Count
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