Perturbation analysis of spontaneous action potential initiation by stochastic ion channels

Handle URI:
http://hdl.handle.net/10754/599172
Title:
Perturbation analysis of spontaneous action potential initiation by stochastic ion channels
Authors:
Keener, James P.; Newby, Jay M.
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.
Publisher:
American Physical Society (APS)
Journal:
Physical Review E
KAUST Grant Number:
KUK-C1-013-4
Issue Date:
Jul-2011
DOI:
10.1103/PhysRevE.84.011918
PubMed ID:
21867224
Type:
Article
ISSN:
1539-3755; 1550-2376
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).
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Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorKeener, James P.en
dc.contributor.authorNewby, Jay M.en
dc.date.accessioned2016-02-25T13:54:15Zen
dc.date.available2016-02-25T13:54:15Zen
dc.date.issued2011-07en
dc.identifier.citationKeener 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.en
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.pmid21867224en
dc.identifier.doi10.1103/PhysRevE.84.011918en
dc.identifier.urihttp://hdl.handle.net/10754/599172en
dc.description.abstractA 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.en
dc.description.sponsorshipThis 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).en
dc.publisherAmerican Physical Society (APS)en
dc.titlePerturbation analysis of spontaneous action potential initiation by stochastic ion channelsen
dc.typeArticleen
dc.identifier.journalPhysical Review Een
dc.contributor.institutionUniversity of Utah, Salt Lake City, United Statesen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-4en
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