Capacitance fluctuations causing channel noise reduction in stochastic Hodgkin-Huxley systems

Physical Biology

Volumn 3, Issue 4, 2006, Pages 248-254

  Schmid, G ^a   Goychuk, I ^a   Hanggi P ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ION CHANNEL;

ARTICLE; CELL MEMBRANE POTENTIAL; CHANNEL GATING; ELECTRIC CAPACITANCE; ELECTRIC CURRENT; HODGKIN HUXLEY EQUATION; MOLECULAR DYNAMICS; NOISE REDUCTION; PRIORITY JOURNAL; SPIKE; STATISTICAL ANALYSIS; STOCHASTIC MODEL;

EID: 34247514466     PISSN: 14783967     EISSN: 14783975     Source Type: Journal    
DOI: 10.1088/1478-3975/3/4/002     Document Type: Article

References (49)

1. Hodgkin A L and Huxley A F 1952 A quantitative description of membrane current and its application to conduction and excitation in nerve J. Physiol. 117 500
2. Lecar H and Nossal R 1971 Theory of threshold fluctuations in nerves Biophys. J. 11 1048
3. White J A, Rubinstein J T and Kay A R 2000 Channel noise in neurons Trends Neurosci. 23 131
4. Koch K 1999 Biophysics of Computation: Informational Processing in Single Neurons (New York: Oxford University Press)
5. van Rossum M C W, O'Brien B J and Smith R G 2003 Effects of noise on the spike timing precision of retinal ganglion cells J. Neurophys. 89 2406
6. Skaugen E and Walløe L 1979 Firing behavior in a stochastic nerve membrane model based upon the Hodgkin-Huxley equtions Acta Physiol. Scand. 107 343
7. Clay J R and DeFelice L J 1983 Relationship between membrane excitability and single channel open-close kinetics Biophys. J. 42 151
8. Strassberg A F and DeFelice L J 1993 Limitations of the Hodgkin-Huxley formalism-effects of single-channel kinetics on transmembrane voltage dynamics Neural Comput. 5 843
9. DeFelice L J and Isaac A 1993 Chaotic states in a random world-relationship between the nonlinear differential-equations of excitability and the stochastic properties of ion channels J. Stat. Phys. 70 339
10. Fox R F and Lu Y 1994 Emergent collective behavior in large numbers of globally coupled independently stochastic ion channels Phys. Rev. E 49 3421
11. Chow C C and White J A 1996 Spontaneous action potentials due to channel fluctuations Biophys. J. 71 3013
12. Schneidman E, Freedman B and Segev I 1998 Ion channel stochasticity may be critical in determining the reliability and precision of spike timing Neuronal Comput. 10 1679
13. Bezrukov S M and Vodyanoy I 1995 Noise-induced enhancement of signal-transduction across voltage-dependent ion channels Nature 378 362
14. Bezrukov S M and Vodyanoy I 1997 Signal transduction across alamethicin ion channels in the presence of noise Biophys. J. 73 2456
15. Schmid G, Goychuk I and Hänggi P 2001 Stochastic resonance as a collective property of ion channel assemblies Europhys. Lett. 56 22
16. Jung P and Shuai J W 2001 Optimal sizes of ion channel clusters Europhys. Lett. 56 29
17. Gammaitoni L, Hänggi P, Jung P and Marchesoni F 1998 Stochastic resonance Rev. Mod. Phys. 70 223
18. Hänggi P 2002 Stochastic resonance in biology-how noise can enhance detection of weak signals and help improve biological information processing Chem. Phys. Chem. 3 285
19. Shuai J W and Jung P 2003 Optimal ion channel clustering for intracellular calcium signaling Proc. Natl Acad. Sci. 100 506
20. Ginzburg S L and Pustovoit M A 2003 Bursting dynamics of a model neuron induced by intrinsic channel noise Fluct. Noise Lett. L 3 265
21. Schmid G, Goychuk I, Hänggi P, Zeng S and Jung P 2004 Stochastic resonance and optimal clustering for assemblies of ion channels Fluct. Noise Lett. 4 L33
22. Gong Y B, Wang M S, Hou Z H and Xin H W 2005 Optimal spike coherence and synchronization on complex Hodgkin-Huxley neuron networks Chem. Phys. Chem. 6 1042
23. Shuai J W and Jung P 2006 The dynamics of small excitable ion channel clusters Chaos 16 026104
24. Ya P L and Qian S L 2006 Implicit and explicit internal signal stochastic resonance in calcium ion oscillations Chem. Phys. Lett. 417 498
25. Schmid G, Goychuk I and Hänggi P 2003 Channel noise and synchronization in excitable membranes Physica A 325 165
26. Schmid G, Goychuk I and Hänggi P 2004 Effect of channel block on the spiking activity of excitable membranes in a stochastic Hodgkin-Huxley model Phys. Biol. 1 61
27. Hille B 2001 Ionic Channels of Excitable Membranes 3rd edn (Sunderland, MA: Sinauer Associates)
28. Armstrong C M and Bezanilla F 1973 Currents related to movement of gating particles of sodium channels Nature 242 459
29. Keynes R D and Rojas E 1973 Characteristics of sodium gating current in squid giant axon J. Physiol. 233 28P
30. Armstrong C M and Bezanilla F 1974 Charge movement associated with opening and closing of activation gates of Na channels J. Gen. Physiol. 63 533
31. Hodgkin A 1975 Optimum density of sodium channels in an unmyelinated nerve Philos. Trans. R. Soc. Lond. 270 297
32. Adrian R H 1975 Conduction-velocity and gating current in squid giant-axon Proc. R. Soc. 189 81
33. Hudspeth A J, Choe Y, Mehta A D and Martin P 2000 Putting ion channels to work: mechanoelectrical transduction, adaptation, and amplification by hair cells Proc. Natl Acad. Sci. 97 11765
34. Nossal R J and Lecar H 1991 Molecular and Cell Biophysics (Redwood City, CA: Addison-Wesley)
35. Adair R K 2004 Optimum ion channel properties in the squid giant axon Phys. Rev. E 69 042902
36. Sangrey T D, Friesen W O and Levy W B 2004 Analysis of the optimal channel density of the squid giant axon using a reparameterized Hodgkin-Huxley model J. Neurophysiol. 91 2541
37. Hänggi P 1980 Langevin description of Markovian integro-differential master-equations Z. Phys. B 36 271
38. Hänggi P 1981 Langevin description of Markov master-equations: II. Noise correlations Z. Phys. B 43 269
39. Hänggi P and Thomas H 1982 Stochastic processes-time evolution, symmetries and linear response Phys. Rep. 88 207 see in section 6.2
40. Zwanzig R 2001 A chemical Langevin equation with non-Gaussian noise J. Phys. Chem. B 105 6472
41. Hänggi P and Jung P 1995 Colored noise in dynamical-systems Adv. Chem. Phys. 89 239
42. Goychuk I and Hänggi P 2002 Ion channel gating: a first-passage time analysis of the Kramers type Proc. Natl Acad. Sci. 99 3552
43. Goychuk I and Hänggi P 2003 The role of conformational diffusion in ion channel gating Physica A 325 9
44. Hassard B 1978 Bifurcation of periodic-solutions of Hodgkin-Huxley model for squid giant-axon J. Theor. Biol. 71 401
45. Rinzel J and Miller R N 1980 Numeric-calculation of stable and unstable periodic-solutions to the Hodgkin-Huxley equations Math. Biosci. 49 27
46. Press W H, Teukolsky S A, Vetterling W T and Flannery B P 1992 Numerical Recipes in C 2nd edn (Cambridge: Cambridge University Press)
47. Pikovsky A S and Kurths J 1997 Coherence resonance in a noise-driven excitable system Phys. Rev. Lett. 78 775
48. Lindner B, Garcia-Ojalvo J, Neiman A and Schimansky-Geier L 2004 Effects of noise in excitable systems Phys. Rep. 392 321
49. Diba K, Lester H A and Koch Ch 2004 Intrinsic noise in cultured hippocampal neurons: experiment and modeling J. Neurosci. 24 9723