Estimation of ion channel kinetics from fluctuations of macroscopic currents

Biophysical Journal

Volumn 93, Issue 1, 2007, Pages 74-91

  Moffatt, Luciano ^a  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

ION CHANNEL;

ACCURACY; ALGORITHM; ANALYTICAL ERROR; ARTICLE; CORRELATION ANALYSIS; ION CONDUCTANCE; KINETICS; MAXIMUM LIKELIHOOD METHOD; RELIABILITY; SIMULATION; STIMULATION; WHITE NOISE;

EID: 34447289354     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1529/biophysj.106.101212     Document Type: Article

References (32)

1. Hille, B. 2001. Ion Channels of Excitable Membranes. Sinauer, Sunderland, MA.
2. Hodgkin, A. L., and A. F. Huxley. 1952. A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. 117:500-544.
3. Hamill, O. P., A. Marty, E. Neher, B. Sakmann, and F. J. Sigworth. 1981. Improved patch-clamp techniques for high-resolution current recording from cells and cell-free membrane patches. Pflugers Arch. 391:85-100.
4. Colquhoun, D., and B. Sakmann. 1981. Fluctuations in the microsecond time range of the current through single acetylcholine receptor ion channels. Nature. 294:464-466.
5. Colquhoun, D., and A. G. Hawkes. 1981. On the stochastic properties of single ion channels. Proc. R. Soc. Lond. B Biol. Sci. 211:205-235.
6. Colquhoun, D., and A. G. Hawkes. 1982. On the stochastic properties of bursts of single ion channel openings and of clusters of bursts. Philos. Trans. R. Soc. Lond. B Biol. Sci. 300:1-59.
7. Colquhoun, D., and A. G. Hawkes. 1977. Relaxation and fluctuations of membrane currents that flow through drug-operated channels. Proc. R. Soc. Lond. B Biol. Sci. 199:231-262.
8. Sigworth, F. J., and S. M. Sine. 1987. Data transformations for improved display and fitting of single-channel dwell time histograms. Biophys. J. 52:1047-1054.
9. Milne, R. K., G. F. Yeo, B. W. Madsen, and R. O. Edeson. 1989. Estimation of single channel kinetic parameters from data subject to limited time resolution. Biophys. J. 55:673-676.
10. Venkataramanan, L., and F. J. Sigworth. 2002. Applying hidden Markov models to the analysis of single ion channel activity. Biophys. J. 82:1930-1942.
11. Qin, F., A. Auerbach, and F. Sachs. 1996. Estimating single-channel kinetic parameters from idealized patch-clamp data containing missed events. Biophys. J. 70:264-280.
12. Qin, F., A. Auerbach, and F. Sachs. 1997. Maximum likelihood estimation of aggregated Markov processes. Proc. Biol. Sci. 264:375-383.
13. Qin, F., A. Auerbach, and F. Sachs. 2000. A direct optimization approach to hidden Markov modeling for single channel kinetics. Biophys. J. 79:1915-1927.
14. Qin, F., A. Auerbach, and F. Sachs. 2000. Hidden Markov modeling for single channel kinetics with filtering and correlated noise. Biophys. J. 79:1928-1944.
15. Horn, R., and K. Lange. 1983. Estimating kinetic constants from single channel data. Biophys. J. 43:207-223.
16. Fredkin, D. R., and J. A. Rice. 1992. Maximum likelihood estimation and identification directly from single-channel recordings. Proc. Biol. Sci. 249:125-132.
17. Shanno, D. F. 1970. Conditioning of quasi-Newton methods for function minimization. Math. Comput. 24:647-656.
18. Rabiner, L. R. 1989. A tutorial on hidden Markov models and selected applications in speech recognition. Proc. IEEE. 77:257-286.
19. Milescu, L. S., G. Akk, and F. Sachs. 2005. Maximum likelihood estimation of ion channel kinetics from macroscopic currents. Biophys. J. 88:2494-2515.
20. Celentano, J. J., and A. G. Hawkes. 2004. Use of the covariance matrix in directly fitting kinetic parameters: application to GABAA receptors. Biophys. J. 87:276-294.
21. Baum, L. E., and T. Petrie. 1966. Statistical inference for probabilistic functions of finite state Markov Chains. Ann. Math. Stat. 37:1554-1563.
22. Baum, L. E., T. Petrie, G. Soules, and N. Weiss. 1970. A maximization technique occurring in the statistical analysis of probabilistic functions of Markov chains. Ann. Math. Stat. 41:164-171.
23. Becker, J. D., J. Honerkamp, J. Hirsch, U. Frobe, E. Schlatter, and R. Greger. 1994. Analyzing ion channels with hidden Markov models. Pflugers Arch. 426:328-332.
24. Colquhoun, D., C. J. Hatton, and A. G. Hawkes. 2003. The quality of maximum likelihood estimates of ion channel rate constants. J. Physiol. 547:699-728.
25. Cannon, R. C., and G. D'Alessandro. 2006. The ion channel inverse problem: neuroinformatics meets biophysics. PLoS Comput. Biol. 2:0862-0869.
26. Neher, E., and C. F. Stevens. 1977. Conductance fluctuations and ionic pores in membranes. Annu. Rev. Biophys. Bioeng. 6:345-381.
27. Sigworth, F. J. 1981. Interpreting power spectra from nonstationary membrane current fluctuations. Biophys. J. 35:289-300.
28. Ball, F. G., S. S. Davies, and M. S. Sansom. 1990. Single-channel data and missed events: analysis of a two-state Markov model. Proc. Biol. Sci. 242:61-67.
29. 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.
30. 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.
31. Blatz, A. L., and K. L. Magleby. 1986. Correcting single channel data for missed events. Biophys. J. 49:967-980.
32. 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. Philos. Trans. R. Soc. Lond. B Biol. Sci. 337:383-404.