Using independent open-to-closed transitions to simplify aggregated Markov models of ion channel gating kinetics

Proceedings of the National Academy of Sciences of the United States of America

Volumn 102, Issue 18, 2005, Pages 6326-6331

  Bruno, William J ^a   Yang, Jin ^a   Pearson, John E ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Canonical topology; Detailed balance; Rank; Systems identification

Indexed keywords

ION CHANNEL;

ALGORITHM; ARTICLE; CANONICAL ANALYSIS; CHANNEL GATING; CONDUCTANCE; ION TRANSPORT; KINETICS; PRIORITY JOURNAL; PROBABILITY; SIGNAL TRANSDUCTION;

ALGORITHMS; ION CHANNEL GATING; KINETICS; MARKOV CHAINS; MODELS, STATISTICAL; SIGNAL TRANSDUCTION;

EID: 18144410993     PISSN: 00278424     EISSN: None     Source Type: Journal    
DOI: 10.1073/pnas.0409110102     Document Type: Article

References (32)

1. Berridge, M. J., Lipp, P. & Bootman, M. D. (2000) Nat. Rev. Mol. Cell Biol. 1, 11-21.
2. Irvine, D. J., Purbhoo, M. A., Krogsgaard, M. & Davis, M. M. (2002) Nature 419, 845-849.
3. Li, Q. J., Dinner, A. R., Qi, S. Y., Irvine, D. J., Huppa, J. B., Davis, M. M. & Chakraborty, A. K. (2004) Nat. Immunol. 5, 791-799.
4. Dalemans, W., Barbry, P., Champigny, G., Jallat, S., Dott, K., Dreyer, D., Crystal, R. G., Pavirani, A., Lecocq, J. P. & Lazdunski, M. (1991) Nature 354, 526-528.
5. Burgess, D. L., Joncs, J. M., Meisler, M. H. & Noebels, J. L. (1997) Cell 88, 385-392.
6. McCarthy, T. V., Quane, K. A. & Lynch, P. J. (2000) Hum. Mutat. 15, 410-417.
7. Neher, E. & Sakmann, B. (1976) Nature 260, 799-802.
8. Colquhoun, D. & Hawkes, A. G. (1981) Proc. R. Soc. London B 211, 205-236.
9. Colquhoun, D. & Hawkes, A. G. (1982) Philos. Trans. R. Soc. London B 300, 1-59.
10. Fredkin, D. R., Montal, M. & Rice, J. A. (1985) Proceedings of the Berkeley Conference in Honor of Jerzy Neyman and Jack Kiefer, eds. Le Cam, L. M. & Olshen, R. A. (Wadsworth, Belmont, CA), pp. 269-289.
11. Fredkin, D. R. & Rice, J. A. (1986) J. Appl. Probability 23, 208-214.
12. Bauer, R. J., Bowman, B. F. & Kenyon, J. L. (1987) Biophys. J. 52, 961-978.
13. Qin, F., Auerbach, A. & Sachs, F. (2000) Biophys. J. 79, 1915-1927.
14. Grosman, C., Salamone, F. N., Sine, S. M. & Auerbach, A. (2000) J. Gen. Physiol. 116, 327-339.
15. Rosales, R. A., Fill, M. & Escobar, A. L. (2004) J. Gen. Physiol. 123, 533-553.
16. Popescu, G. & Auerbach, A. (2003) Nat. Neurosci. 6, 476-483.
17. Kienker, P. (1989) Proc. R. Soc. London B 236, 269-309.
18. Larget, B. (1998) J. Appl. Probability 35, 313-324.
19. Qin, F., Auerbach, A. & Sachs, F. (1997) Proc. R. Soc. London B 264, 375-383.
20. Balasubramanian, V. (1993) Equivalence and Reduction of Hidden Markov Models (MIT, Cambridge, MA), Technical Report AITR-1370.
21. Hotelling, H. (1935) J. Educ. Psychol. 26, 139-142.
22. Wold, H. (1985) Partial Least Squares, eds. Kotz, S. & Johnson, N. L. (Wiley, New York), Vol. 6, pp. 581-591.
23. Finkelstein, A. & Peskin, C. S. (1984) Biophys. J. 46, 549-558.
24. Song, L. & Magleby, K. L. (1994) Biophys. J. 67, 91-104.
25. Wagner, M. & Timmer, J. (2000) Biophys. J. 79, 2918-2924.
26. Rothberg, B. S. & Magleby, K. L. (2001) Biophys. J. 80, 3025-3026.
27. The, Y.-K., Wagner, M. & Timmer, J. (2002) Biophys. J. 82, 2275-2276.
28. Kijima, S. & Kijima, H. (1987) J. Theor. Biol. 128, 423-434.
29. Rothberg, B. S. & Magleby, K. L. (1999) J. Gen. Physiol. 114, 93-124.
30. Colquhoun, D., Hatton, C. J. & Hawkes, A. G. (2003) J. Physiol. (London) 547, 699-728.
31. Fraiman, D. & Dawson, S. P. (2004) Cell Calcium 35, 403-413.
32. Flomenbom, O., Klafter, J. & Szabo, A. (2005) Biophys. J., in press.