How to allow for missed short shuttings and openings: UCL summer school talk 9

This is talk 9 from the UCL summer school: Analysis and interpretation of single ion channel records and macroscopic currents using matrix methods.
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References
Two files referred to in the talk
Mathcad worksheet (interactives calculations but requires Mathcad (download in zip file)
www.onemol.org....
TIObursts.pdf (non-interactive printout of the Mathcad worksheet) : www.onemol.org....
If no link is given, copies of the full text can be downloaded at www.onemol.org.... (experimental papers) or from www.onemol.org.... (theory papers).
Colquhoun, D., & Sakmann, B. (1985). Fast events in single-channel currents activated by acetylcholine and its analogues at the frog muscle end-plate. J. Physiol. (Lond), 369, 501-557. Available at www.onemol.org....
Burzomato, V., Beato, M., Groot-Kormelink, P. J., Colquhoun, D., & Sivilotti, L. G. (2004). Single-Channel Behavior of Heteromeric {alpha}1{beta} Glycine Receptors: An Attempt to Detect a Conformational Change before the Channel Opens. Journal of Neuroscience, 24(48), 10924-10940. Retrieved from www.jneurosci.o... Available at www.onemol.org....
Hawkes, A. G., Jalali, A., & Colquhoun, D. (1990). The distributions of the apparent open times and shut times in a single channel record when brief events can not be detected. Philosophical Transactions of the Royal Society London A, 332, 511-538. Available at www.onemol.org....
Hawkes, A. G., Jalali, A., & Colquhoun, D. (1992). Asymptotic distributions of apparent open times and shut times in a single channel record allowing for the omission of brief events. Philosophical Transactions of the Royal Society London B, 337, 383-404. Available at www.onemol.org....
Jalali, A., & Hawkes, A. G. (1992). Generalised eigenproblems arising in aggregated Markov processes allowing for time interval omission. Advances in Applied Probability, 24, 302-321. Available at www.onemol.org....
The example used to illustrate the case if one open state and one shut state is Figure 19 in this paper.
Colquhoun, D., Hatton, C. J., & Hawkes, A. G. (2003). The quality of maximum likelihood estimates of ion channel rate constants. J Physiol. (Lond. ), 547(Pt 3), 699-728. Retrieved from www.ncbi.nlm.ni... Available at www.onemol.org....
More details about how to impose resolution on the idealised list of open and shut times are given in section 5.2 of this paper
Colquhoun, D., & Sigworth, F. J. (1995). Fitting and statistical analysis of single-channel records. In B. Sakmann & E. Neher (Eds.), Single Channel Recording (pp. 483-587). New York: Plenum Press. Available at www.onemol.org....
Colquhoun, D., & Hawkes, A. G. (1995a). The principles of the stochastic interpretation of ion channel mechanisms. In B. Sakmann & E. Neher (Eds.), Single Channel Recording (pp. 397-482). New York: Plenum Press. Available at: www.onemol.org....
Colquhoun, D., & Hawkes, A. G. (1995b). A Q-matrix Cookbook. How to Write Only One Program to Calculate the Single-Channel and Macroscopic Predictions for Any Kinetic Mechanism
In B. Sakmann & E. Neher (Eds.), Single Channel Recording (pp. 589-633). New York: Plenum Press.
Available at www.onemol.org....