Estimating single-channel kinetic parameters from idealized patch-clamp data containing missed events

Biophysical Journal

Volumn 70, Issue 1, 1996, Pages 264-280

  Qin, Feng ^a   Auerbach, Anthony ^a   Sachs, Frederick ^a  

^a UNIVERSITY AT BUFFALO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; CALCULATION; MATHEMATICAL ANALYSIS; MEMBRANE CHANNEL; MEMBRANE TRANSPORT; PATCH CLAMP; TRANSPORT KINETICS;

EID: 0030061670     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0006-3495(96)79568-1     Document Type: Article

References (41)

1. Akaike, H. 1974. A new look at the statistical model identification. IEEE Trans. Autom. Control AC-19:716-723.
2. Albertsen, A., and U. Hansen. 1994. Estimation of kinetic rate constants from multi-channel recordings by a direct fit of the time series. Biophys. J. 67:1393-1403.
3. Auerbach, A. 1993. A statistical analysis of acetylcholine receptor activation in Xenopus myocytes: stepwise versus concerted models of gating. J. Physiol. 461:339-378.
4. Ball, F. G., and M. S. P. Sansom. 1988. Aggregated Markov processes incorporating time interval omission. Adv. Appl Prob. 20:546-572.
5. Ball, F. G., and M. S. P. Sansom. 1989. Ion-channel gating mechanisms: model identification and parameter estimation from single channel recordings. Proc. R. Soc. Lond. B. 236:385-416.
6. Blatz, A. L., and K. L. Magleby. 1986a. Correcting single channel data for missed events. Biophys. J. 49:967-980.
7. Blatz, A. L., and K. L. Magleby. 1986b. Quantitative description of three modes of activity of fast chloride channels from rat skeletal muscle. J. Physiol. 378:141-174.
8. Chay, T. R. 1988. Kinetic modeling for the channel gating process from single channel patch clamp data. J. Theor. Biol. 132:449-468.
9. Chung, S. H., J. B. Moore, L. G. Xia, L. S. Premkumar, and P. W. Gage. 1990. Characterization of single channel currents using digital signal processing techniques based on hidden Markov models. Proc. R. Soc. Lond B. 329:265-285.
10. Colquhoun, D., and A. G Hawkes. 1977. Relaxation and fluctions of membrane currents that flow through drug-operated channels. Phil. Trans. R. Soc. Lond. B. 199:231-262.
11. Colquhoun, D., and A. G. Hawkes. 1981. On the stochastic properties of single ion channels. Proc. R. Soc. Lond. B. 211:205-235.
12. Colquhoun, D., and A. G. Hawkes. 1983. The principles of the stochastic interpretation of ion-channel mechanisms. In Single-Channel Recording. B. Sakmann and E. Neher, editors. Plenum Press, New York. 135-174.
13. Colquhoun, D., and F. J. Sigworth. 1983. Fitting and statistical analysis of single channel records. In Single-Channel Recording. B. Sakmann and E. Neher, editors. Plenum Press, New York. 191-264.
14. Cox, D. R., and H. D. Miller. 1965. The Theory of Stochastic Processes. Methuen, London.
15. Crouzy, S. C., and F. J. Sigworth. 1990. Yet another approach to the dwell-time omission problem of single-channel analysis. Biophys. J. 58:731-743.
16. Draber, S., and R. Schultze. 1994. Detection of jumps in single-channel data containing subconductance levels. Biophys. J. 67:1404-1413.
17. Fletcher, R. 1981. Practical Methods of Optimization. John Wiley & Sons, Chichester, UK.
18. Fredkin, D. R., M. Montal, and J. A. Rice. 1985. Identification of aggregated Markovian models: application to the nicotinic acetylcholine receptor. In Proceedings of the Berkeley Conference in Honor of Jerzy Neymann and Jack Kiefer. L. M. LeCam and R. A. Olshen, editors. Wadsworth, Belmont, CA. 269-289.
19. Fredkin, D. R., and J. A. Rice. 1992a. Maximum likelihood estimation and identification directly from single-channel recordings. Proc. R. Soc. Lond. B. 239:125-132.
20. Fredkin, D. R., and J. A. Rice. 1992b. Bayesian restoration of single-channel patch clamp recordings. Biometrics. 48:427-448.
21. Golub, G. H., and C. F. Van Loan. 1989. Matrix Computations. Johns Hopkins University Press, Baltimore.
22. Hawkes, A. G., A. Jalali, and D. Colquhoun. 1992. Asymptotic distributions of apparent open times and shut times in a single channel record allowing for the omission of brief events. Phil. Trans. R. Soc. Lond. B. 337:383-404.
23. Horn, R., and K. Lange. 1983. Estimating kinetic constants from single channel data. Biophys. J. 43:207-223.
24. Huang, L. M. 1984. Gating kinetics of batrachotoxin-modified sodium channels in neuroblastoma cells determined from single-channel measurements. Biophys. J. 45:313-322.
25. Kendall, M. G., and A. Stuart. 1977. The Advanced Theory of Statistics. Griffin, London.
26. Lauger, P. 1988. Internal motions in proteins and gating kinetics of ionic channels. Biophys. J. 53:877-884
27. Magleby, K. L., and B. S. Pallotta. 1983. Calcium dependence of open and shut interval distributions from calcium-activated potassium channels in cultured rat muscle. J. Physiol. 344:585-604.
28. Magleby, K. L., and D. S. Weiss. 1990. Estimating kinetic parameters for single channels with simulation: a general method that resolves the missed event problem and accounts for noise. Biophys. J. 58.1411-1426.
29. + channels in rat skeletal muscle. J. Physiol. 443:739-777.
30. Milne, R. K., G. F. Yeo, R. O. Edeson, and B. W. Madsen. 1988. Stochastic modeling of a single ion channel: an alternating renewal approach with application to limited time resolution. Proc. R. Soc Lond. B. 233 247-292.
31. Neher, E., and B. Sakmann. 1992 The patch clamp technique Sci. Am 266:28-35
32. Nijenhuis, A., and H. S. Wilf. 1978. Combinatorial Algorithms Academic Press, New York.
33. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery. 1992. Numerical Recipes in C. Cambridge University Press, Cambridge, UK.
34. Qin, F., J. L. Chen, A. Auerbach, and F. Sachs. 1994. Extracting kinetic parameters using hidden Markov techniques. Biophys. J. 66:A392
35. Rabiner, L. R., J. G. Wilpon, and B. H. Juang. 1986. A segmentai k-means training procedure for connected word recognition. AT & T Tech. J. 65:21-31.
36. Roux, B., and R. Sauve. 1985. A general solution to the time interval omission problem applied to single channel analysis. Biophys. J. 48: 149-158.
37. Sachs, F., J. Neil, and N. Barkakati. 1982. The automated analysis of data from single ionic channels. Pflugers Arch. 395:331-340.
38. Sine, S. M., K. Ohno, C. Bouzat, A. Auerbach, M. Milone, J. N. Pruitt, and A. G. Engel. 1995. Mutation of the acetylcholine receptor a-subunit causes a slow-channel myasthenic syndrome by enhancing agonist binding affinity. Neuron. In press.
39. Vandenberg, C. A., and F. Bezanilla. 1991 A sodium channel gating model based on single channel, macroscopic ionic, and gating currents in the squid giant axon. Biophys J. 60.1511-1533.
40. Walsh, J. L., and F. J. Sigworth. 1992. Extraction of single channel current from correlated noise via a hidden Markov model. Ph.D. dissertation Yale University, New Haven, CT
41. Weiss, D , and K. Magleby. 1992. Voltage-dependent gating mechanism for single fast chloride channels from rat skeletal muscle. J. Physiol. 453:279-306.