Explicit asymptotic results for open times in ion channel models

Valeri Stefanov, G.F. Yeo

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)


    The dynamical aspects of single channel gating can be modelled by a Markov renewal process, with states aggregated into two classes corresponding to the receptor channel being open or closed, and with brief sojourns in either class not detected. This paper is concerned with the relation between the amount of time, for a given record, in which the channel appears to be open compared to the amount in which it is actually open and the difference in their proportions; this may be used to obtain information on the unobserved actual process from the observed one. Results, with extensions, on exponential families have been applied to obtain relevant generating functions and asymptotic normal distributions, including explicit forms for the parameters. Numerical results are given as illustration in special cases.
    Original languageEnglish
    Pages (from-to)947-964
    JournalAdvances in Applied Probability
    Issue number4
    Publication statusPublished - 1997


    Dive into the research topics of 'Explicit asymptotic results for open times in ion channel models'. Together they form a unique fingerprint.

    Cite this