Hill coefficient for estimating the magnitude of cooperativity in gating transitions of voltage-dependent ion channels

Biophysical Journal

Volumn 87, Issue 2, 2004, Pages 822-830

  Yifrach, Ofer ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ION CHANNEL; VOLTAGE GATED POTASSIUM CHANNEL;

ARTICLE; CHANNEL GATING; EMPIRICISM; ENZYME BINDING; ENZYME SUBSTRATE; HILL REACTION; REACTION ANALYSIS; SENSITIVITY ANALYSIS;

EID: 4143078013     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1529/biophysj.104.040410     Document Type: Article

References (33)

1. Adair, G. S., A. V. Bock, and H. Field, Jr. 1925. The hemoglobin system. VI. The oxygen dissociation curve of hemoglobin. J. Biol. Chem. 63:529-545.
2. + channel. Neuron. 16:1169-1177.
3. Almers, W. 1978. Gating currents and charge movements in excitable membranes. Rev. Physiol. Biochem. Pharmacol. 82:96-190.
4. Bezanilla, F. 2000. The voltage sensor in voltage-dependent ion channels. Physiol. Rev. 80:555-592.
5. Edelstein, S. J. 1971. Extensions of the allosteric model for haemoglobin. Nature. 230:224-227.
6. Hill, A. V. 1910. The possible effects of the aggregation of the molecules of haemoglobin on its oxygen dissociation curve. J. Physiol. (Lond.). 40:IV-VII.
7. + channels. J. Gen. Physiol. 106:1053-1068.
8. 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.
9. Islas, L. D., and F. J. Sigworth. 1999. Voltage sensitivity and gating charge in Shaker and Shab family potassium channels. J. Gen. Physiol. 114:723-742.
10. Karlin, A. 1967. On the application of "plausible model" of allosteric proteins to the receptor for acetylcholine. J. Theoret. Biol. 16:306-320.
11. Kirschner, K., E. Gallego, I. Schuster, and D. Goodall. 1971. Co-operative binding of nicotinamide-adenine dinucleotide to yeast glyceraldehyde-3-phosphate dehydrogenase. I. Equilibrium and temperature-jump studies at pH 8-5 and 40°C. J. Mol. Biol. 58:29-50.
12. Koshland, D. E., Jr., G. Nemethy, and D. Filmer. 1966. Comparison of experimental binding data and theoretical models in proteins containing subunits. Biochemistry, 5:365-385.
13. Levitzki, A. 1978. Quantitative Aspects of Allosteric Mechanisms. Springer-Verlag, Berlin, Germany.
14. + channel. Nature, 353:752-756.
15. MacKinnon, R. 1991. Determination of the subunit stoichiometry of a voltage-activated potassium channel. Nature. 350:232-235.
16. + channels. Proc. Natl. Acad. Sci. USA. 88:2931-2935.
17. Monod, J., J. Wyman, and J.-P. Changeux. 1965. On the nature of allosteric transitions: a plausible model. J. Mol. Biol. 12:88-118.
18. Noda, M., S. Shimizu, T. Tanabe, T. Takai, T. Kayano, T. Ikeda, H. Takahashi, H. Nakayama, Y. Kanaoka, and N. Minamino. 1984. Primary structure of Electrophorus electricus sodium channel deduced from cDNA sequence. Nature. 312:121-127.
19. Papazian, D. M., L. C. Timpe, Y. N. Jan, and L. Y. Jan. 1991. Alteration of voltage-dependence of Shaker potassium channel by mutations in the S4 sequence. Nature. 349:305-310.
20. Rubin, M. M., and J. P. Changeux. 1966. On the nature of allosteric transitions: implications of non-exclusive ligand binding. J. Mol. Biol. 21:265-274.
21. Schoppa, N. E., K. McCormack, M. A. Tanouye, and F. J. Sigworth. 1992. The size of gating charge in wild-type and mutant Shaker potassium channels. Science. 255:1712-1715.
22. Schoppa, N. E., and F. J. Sigworth. 1998. Activation of Shaker potassium channels. III. An activation gating model for wild-type and V2 mutant channels. J. Gen. Physiol. 111:313-342.
23. + channel. Neuron. 16:1159-1167.
24. Sigg, D., and F. Bezanilla. 1997. Total charge movement per channel: The relation between gating charge displacement and the voltage sensitivity of activation. J. Gen. Physiol. 109:27-39.
25. Sigworth, F. J. 1994. Voltage gating of ion channels. Q. Rev. Biophys. 27:1-40.
26. Smith-Maxwell, C. J., J. L. Ledwell, and R. W. Aldrich. 1998a. Role of the S4 in cooperativity of voltage-dependent potassium channel activation. J. Gen. Physiol. 111:399-420.
27. Smith-Maxwell, C. J., J. L. Ledwell, and R. W. Aldrich. 1998b. Uncharged S4 residues and cooperativity in voltage-dependent potassium channel activation. J. Gen. Physiol. 111:421-439.
28. Stuhmer, W., F. Conti, H. Suzuki, X. D. Wang, M. Noda, N. Yahagi, H. Kubo, and S. Numa. 1989. Structural parts involved in activation and inactivation of the sodium channel. Nature. 339:597-603.
29. Tanabe, T., H. Takeshima, A. Mikami, V. Flockerzi, H. Takahashi, K. Kangawa, M. Kojima, H. Matsuo, T. Hirose, and S. Numa. 1987. Primary structure of the receptor for calcium channel blockers from skeletal muscle. Nature. 328:313-318.
30. Tytgat, J., and P. Hess. 1992. Evidence for cooperative interactions in potassium channel gating. Nature. 359:420-423.
31. Yellen, G. 1998. The moving parts of voltage-gated ion channels. Q. Rev. Biophys. 31:239-295.
32. + channel. Cell. 111:231-239.
33. Zagotta, W. N., T. Hoshi, and R. W. Aldrich. 1994. Shaker potassium channel gating III: Evaluation of kinetic models for activation. J. Gen. Physiol. 103:321-362.