Skip to main content
Biophysical Journal logoLink to Biophysical Journal
. 1989 Feb;55(2):383–385. doi: 10.1016/S0006-3495(89)82817-6

Fractal models, Markov models, and channel kinetics.

O B McManus 1, C E Spivak 1, A L Blatz 1, D S Weiss 1, K L Magleby 1
PMCID: PMC1330483  PMID: 2469488

Full text

PDF
383

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Blatz A. L., Magleby K. L. Correcting single channel data for missed events. Biophys J. 1986 May;49(5):967–980. doi: 10.1016/S0006-3495(86)83725-0. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Blatz A. L., Magleby K. L. Quantitative description of three modes of activity of fast chloride channels from rat skeletal muscle. J Physiol. 1986 Sep;378:141–174. doi: 10.1113/jphysiol.1986.sp016212. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. Colquhoun D., Hawkes A. G. On the stochastic properties of single ion channels. Proc R Soc Lond B Biol Sci. 1981 Mar 6;211(1183):205–235. doi: 10.1098/rspb.1981.0003. [DOI] [PubMed] [Google Scholar]
  4. Colquhoun D., Sakmann B. Fast events in single-channel currents activated by acetylcholine and its analogues at the frog muscle end-plate. J Physiol. 1985 Dec;369:501–557. doi: 10.1113/jphysiol.1985.sp015912. [DOI] [PMC free article] [PubMed] [Google Scholar]
  5. Frauenfelder H., Parak F., Young R. D. Conformational substates in proteins. Annu Rev Biophys Biophys Chem. 1988;17:451–479. doi: 10.1146/annurev.bb.17.060188.002315. [DOI] [PubMed] [Google Scholar]
  6. Golowasch J., Kirkwood A., Miller C. Allosteric effects of Mg2+ on the gating of Ca2+-activated K+ channels from mammalian skeletal muscle. J Exp Biol. 1986 Sep;124:5–13. doi: 10.1242/jeb.124.1.5. [DOI] [PubMed] [Google Scholar]
  7. Hahin R. Removal of inactivation causes time-invariant sodium current decays. J Gen Physiol. 1988 Sep;92(3):331–350. doi: 10.1085/jgp.92.3.331. [DOI] [PMC free article] [PubMed] [Google Scholar]
  8. Hamill O. P., Bormann J., Sakmann B. Activation of multiple-conductance state chloride channels in spinal neurones by glycine and GABA. 1983 Oct 27-Nov 2Nature. 305(5937):805–808. doi: 10.1038/305805a0. [DOI] [PubMed] [Google Scholar]
  9. Horn R., Korn S. J. Model selection: reliability and bias. Biophys J. 1989 Feb;55(2):379–381. doi: 10.1016/S0006-3495(89)82816-4. [DOI] [PMC free article] [PubMed] [Google Scholar]
  10. Horn R., Vandenberg C. A. Statistical properties of single sodium channels. J Gen Physiol. 1984 Oct;84(4):505–534. doi: 10.1085/jgp.84.4.505. [DOI] [PMC free article] [PubMed] [Google Scholar]
  11. Kerry C. J., Ramsey R. L., Sansom M. S., Usherwood P. N. Glutamate receptor channel kinetics: the effect of glutamate concentration. Biophys J. 1988 Jan;53(1):39–52. doi: 10.1016/S0006-3495(88)83064-9. [DOI] [PMC free article] [PubMed] [Google Scholar]
  12. Korn S. J., Horn R. Statistical discrimination of fractal and Markov models of single-channel gating. Biophys J. 1988 Nov;54(5):871–877. doi: 10.1016/S0006-3495(88)83023-6. [DOI] [PMC free article] [PubMed] [Google Scholar]
  13. Liebovitch L. S., Fischbarg J., Koniarek J. P., Todorova I., Wang M. Fractal model of ion-channel kinetics. Biochim Biophys Acta. 1987 Jan 26;896(2):173–180. doi: 10.1016/0005-2736(87)90177-5. [DOI] [PubMed] [Google Scholar]
  14. Liebovitch L. S., Sullivan J. M. Fractal analysis of a voltage-dependent potassium channel from cultured mouse hippocampal neurons. Biophys J. 1987 Dec;52(6):979–988. doi: 10.1016/S0006-3495(87)83290-3. [DOI] [PMC free article] [PubMed] [Google Scholar]
  15. Liebovitch L. S. Testing fractal and Markov models of ion channel kinetics. Biophys J. 1989 Feb;55(2):373–377. doi: 10.1016/S0006-3495(89)82815-2. [DOI] [PMC free article] [PubMed] [Google Scholar]
  16. Läuger P. Internal motions in proteins and gating kinetics of ionic channels. Biophys J. 1988 Jun;53(6):877–884. doi: 10.1016/S0006-3495(88)83168-0. [DOI] [PMC free article] [PubMed] [Google Scholar]
  17. Magleby K. L., Pallotta B. S. Calcium dependence of open and shut interval distributions from calcium-activated potassium channels in cultured rat muscle. J Physiol. 1983 Nov;344:585–604. doi: 10.1113/jphysiol.1983.sp014957. [DOI] [PMC free article] [PubMed] [Google Scholar]
  18. McManus O. B., Blatz A. L., Magleby K. L. Inverse relationship of the durations of adjacent open and shut intervals for C1 and K channels. Nature. 1985 Oct 17;317(6038):625–627. doi: 10.1038/317625a0. [DOI] [PubMed] [Google Scholar]
  19. McManus O. B., Blatz A. L., Magleby K. L. Sampling, log binning, fitting, and plotting durations of open and shut intervals from single channels and the effects of noise. Pflugers Arch. 1987 Nov;410(4-5):530–553. doi: 10.1007/BF00586537. [DOI] [PubMed] [Google Scholar]
  20. McManus O. B., Magleby K. L. Kinetic states and modes of single large-conductance calcium-activated potassium channels in cultured rat skeletal muscle. J Physiol. 1988 Aug;402:79–120. doi: 10.1113/jphysiol.1988.sp017195. [DOI] [PMC free article] [PubMed] [Google Scholar]
  21. McManus O. B., Weiss D. S., Spivak C. E., Blatz A. L., Magleby K. L. Fractal models are inadequate for the kinetics of four different ion channels. Biophys J. 1988 Nov;54(5):859–870. doi: 10.1016/S0006-3495(88)83022-4. [DOI] [PMC free article] [PubMed] [Google Scholar]
  22. Millhauser G. L., Salpeter E. E., Oswald R. E. Diffusion models of ion-channel gating and the origin of power-law distributions from single-channel recording. Proc Natl Acad Sci U S A. 1988 Mar;85(5):1503–1507. doi: 10.1073/pnas.85.5.1503. [DOI] [PMC free article] [PubMed] [Google Scholar]

Articles from Biophysical Journal are provided here courtesy of The Biophysical Society

RESOURCES