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A perturbation analysis of spontaneous action potential initiation by stochastic ion channels

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 quasi-stationary perturbation method. Using the fact that the activating ionic channel’s random openings and closings are fast relative to other processes, we d...

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Publisher:
American Physical Society
Publication date:
2011-01-01
UUID:
uuid:8f6067d2-792e-445f-a06d-eb6743d5341e
Local pid:
oai:eprints.maths.ox.ac.uk:1392
Deposit date:
2011-09-20

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