The distributions of the apparent open times and shut times in a single channel record when brief events cannot be detected

@article{Hawkes1990TheDO,
  title={The distributions of the apparent open times and shut times in a single channel record when brief events cannot be detected},
  author={Alan G. Hawkes and Assad Jalali and David Colquhoun},
  journal={Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences},
  year={1990},
  volume={332},
  pages={511 - 538}
}
  • A. Hawkes, A. Jalali, D. Colquhoun
  • Published 15 September 1990
  • Mathematics
  • Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences
The openings and shuttings of individual ion channel molecules can be described by a Markov process with discrete states in continuous time. The predicted distributions of the durations of open times, shut times, bursts of openings, etc., are all described, in principle, by mixtures of exponential densities. In practice it is usually found that some of the open times, and/or shut times, are too short to be detected reliably. If a fixed dead-time r is assumed then it is possible to define, as an… 
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Asym ptotic distributions of apparen t open times and shut times in a single channel record allowing for the omission of b rief events
The openings and shuttings of individual ion channel molecules can be described by a Markov process with discrete states in continuous time. The predicted distributions of the durations of open
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The openings and shuttings of individual ion channel molecules can be modelled in terms of an underlying Markov process with discrete states in continuous time. In practice, some of the open times,
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Continuous-time Markov chain models have been widely considered for the gating behaviour of a single ion channel. In such models the state space is usually partitioned into two classes, designated
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A new model for time interval omission in single ion channel analysis is presented and it is shown that complete information concerning the observed process is contained in an embedded semi-Markov sequence, and an explicit expression is derived for the Laplace-Stieltjes transform of its associated semi- Markov kernel.
Poisson sampling-based inference for single ion channel data with time interval omission
TLDR
An alternative approach to parameter estimation based on Poisson sampling is presented and a simulated homogeneous Poisson process is superimposed onto the channel record and inference is based on the numbers of points in successive open and closed sojourns, rather than on theSojourn times themselves.
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Abstract The openings and closures of a single ion channel in a biological membrane are often modelled by a finite statespace continuous time Markov chain, whose states are aggregated into two
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