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. 1990 Mar;57(3):681–684. doi: 10.1016/S0006-3495(90)82588-1

Percolation model of ionic channel dynamics.

W Doster 1, W Schirmacher 1, M Settles 1
PMCID: PMC1280766  PMID: 1689594

Abstract

The nonexponential closed-time distributions observed for ionic channels have been explained recently by quasi-one-dimensional models of structural diffusion (Millhauser, G. L., E. E. Salpeter, and R. E. Oswald. 1988. Proc. Natl. Acad. Sci. USA. 85: 1503-1507; Condat, C. A., and J. Jäckle. 1989. Biophys. J. 55: 915-925; Levitt, D. G. 1989. Biophys. J. 55: 489-498). We generalize this treatment by allowing for more complex trajectories using percolation theory. We assume that the gating transition depends on marginally connected conformational states leading to the observed spread in time scales.

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Selected References

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  1. Ansari A., Berendzen J., Bowne S. F., Frauenfelder H., Iben I. E., Sauke T. B., Shyamsunder E., Young R. D. Protein states and proteinquakes. Proc Natl Acad Sci U S A. 1985 Aug;82(15):5000–5004. doi: 10.1073/pnas.82.15.5000. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Careri G., Giansanti A., Rupley J. A. Proton percolation on hydrated lysozyme powders. Proc Natl Acad Sci U S A. 1986 Sep;83(18):6810–6814. doi: 10.1073/pnas.83.18.6810. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. Catterall W. A. Structure and function of voltage-sensitive ion channels. Science. 1988 Oct 7;242(4875):50–61. doi: 10.1126/science.2459775. [DOI] [PubMed] [Google Scholar]
  4. Condat C. A., Jäckle J. Closed-time distribution of ionic channels. Analytical solution to a one-dimensional defect-diffusion model. Biophys J. 1989 May;55(5):915–925. doi: 10.1016/S0006-3495(89)82890-5. [DOI] [PMC free article] [PubMed] [Google Scholar]
  5. Englander S. W., Kallenbach N. R. Hydrogen exchange and structural dynamics of proteins and nucleic acids. Q Rev Biophys. 1983 Nov;16(4):521–655. doi: 10.1017/s0033583500005217. [DOI] [PubMed] [Google Scholar]
  6. 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]
  7. Iben IE, Braunstein D, Doster W, Frauenfelder H, Hong MK, Johnson JB, Luck S, Ormos P, Schulte A, Steinbach PJ. Glassy behavior of a protein. Phys Rev Lett. 1989 Apr 17;62(16):1916–1919. doi: 10.1103/PhysRevLett.62.1916. [DOI] [PubMed] [Google Scholar]
  8. Levitt D. G. Continuum model of voltage-dependent gating. Macroscopic conductance, gating current, and single-channel behavior. Biophys J. 1989 Mar;55(3):489–498. doi: 10.1016/S0006-3495(89)82842-5. [DOI] [PMC free article] [PubMed] [Google Scholar]
  9. Levitt M. Molecular dynamics of native protein. II. Analysis and nature of motion. J Mol Biol. 1983 Aug 15;168(3):621–657. doi: 10.1016/s0022-2836(83)80306-4. [DOI] [PubMed] [Google Scholar]
  10. 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]
  11. 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]
  12. 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]
  13. McGee R., Jr, Sansom M. S., Usherwood P. N. Characterization of a delayed rectifier K+ channel in NG108-15 neuroblastoma X glioma cells: gating kinetics and the effects of enrichment of membrane phospholipids with arachidonic acid. J Membr Biol. 1988 Apr;102(1):21–34. doi: 10.1007/BF01875350. [DOI] [PubMed] [Google Scholar]
  14. McManus O. B., Spivak C. E., Blatz A. L., Weiss D. S., Magleby K. L. Fractal models, Markov models, and channel kinetics. Biophys J. 1989 Feb;55(2):383–385. doi: 10.1016/S0006-3495(89)82817-6. [DOI] [PMC free article] [PubMed] [Google Scholar]
  15. 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]
  16. 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]

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