An interactive two-state model for cell membrane potassium and sodium ion channels in electric fields using the pair approximation

Physica A: Statistical Mechanics and its Applications

Volumn 351, Issue 2-4, 2005, Pages 417-426

  Erdem, Riza ^a   Ekiz, Cesur ^a  

^a GAZIOSMANPASA UNIVERSITY   (Turkey)

Author keywords

Cell membrane potassium and sodium ion channels; Interactive two state model; Pair approximation; Squid giant axon; Trans membrane conductance

Indexed keywords

APPROXIMATION THEORY; BIOLOGICAL MEMBRANES; CELLS; ELECTRIC CONDUCTANCE; ELECTRIC FIELD EFFECTS; MATHEMATICAL MODELS; SODIUM DEPOSITS;

CELL MEMBRANE POTASSIUM AND SODIUM ION CHANNELS; INTERACTIVE TWO-STATE MODEL; PAIR APPROXIMATION; SQUID GIANT AXON; TRANS-MEMBRANE CONDUCTANCE;

POTASSIUM;

EID: 16344390403     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.02.005     Document Type: Article

References (42)

1. A.L. Hodgkin, and A.F. Huxley J. Physiol. 116 1952 424
2. A.L. Hodgkin, and A.F. Huxley J. Physiol. 116 1952 449
3. A.L. Hodgkin, and A.F. Huxley J. Physiol. 116 1952 473
4. A.L. Hodgkin, and A.F. Huxley J. Physiol. 116 1952 497
5. A.L. Hodgkin, and A.F. Huxley J. Physiol. 117 1952 500
6. W. Rall E.R. Kandel Handbook of Physiology, the Nervous System 1977 American Physiological Society Bethesda, USA
7. T.F. Weiss Cellular Biophysics: Electrical Properties 1996 The MIT Press Cambridge
8. A.V. Holdan, and M. Yoda Biol. Cybern. 42 1981 29
9. K. Aihara, and G. Matsumoto Biophys. J. 41 1983 87
10. I. Laboriau, and II. SIAM J. Math. Anal. 20 1989 1
11. C. Meunier Biol. Cybern. 67 1992 461
12. S. Doi, and S. Kumagai Biophysical Neural Networks 2001 Mary Ann Liebert
13. M. Özer Chinese J. Phys. 41 2003 206
14. M. Özer, and R. Erdem NeuroReport 14 2003 1071
15. M. Özer, and R. Erdem Physica A 331 2004 51
16. M. Özer, R. Erdem, and I. Provaznik NeuroReport 15 2004 335
17. M. Özer NeuroReport 15 2004 1451
18. R. Erdem, and C. Ekiz Phys. Lett. A 331 2004 28
19. A.M. Correa, F. Bezanilla, and R. Latorre Biophys. J. 61 1992 1332
20. C. Polk, and E. Postow Handbook of Biological Effects of Electromagnetic Fields 1996 CRC Press Boca Raton, FL
21. J.D. Bond, and N.C. Wyeth M. Blank E. Findl Mechanistic Approaches to Interactions of Electromagnetic Fields with Living Systems 1987 Plenum Press New York
22. Y.S. Yang, C.J. Thompson, V. Anderson, and A.W. Wood Physica A 268 1999 424
23. R. Kikuchi Phys. Rev. 81 1951 988
24. R. Kikuchi Phys. Rev. B 22 1980 3784
25. P.H.E. Meijer, M. Keskin, and E. Bodegom J. Stat. Phys. 45 1986 215
26. M. Keskin, and P.H.E. Meijer J. Chem. Phys. 85 1986 7324
27. A. Erdinç, and M. Keskin Physica A 307 2002 453
28. T. Balcerzak Physica A 317 2003 213
29. J. Ni, and B. Gu Phys. Lett. A 259 1999 164
30. S. Shinnomoto, and T. Morita Physica A 127 1984 141
31. F. Aguilera-Granja, and R. Kikuchi Physica A 182 1992 331
32. F. Aguilera-Granja, and R. Kikuchi Physica A 189 1992 81
33. F. Aguilera-Granja, and R. Kikuchi Physica A 189 1992 108
34. B. Alberts, D. Bray, J. Lewis, M. Raff, K. Roberts, and J.D. Watson Molecular Biology of the Cell 1994 Garland Publishing New York
35. B. Hille Ionic Channels of Excitable Membranes 1992 Sinauer Associates Sunderland, MA
36. R. Plonsey, and R.C. Barr Bioelectricity A Quantitative Approach 1988 Plenum Press New York, USA
37. T. Morita J. Phys. Soc. Japan 12 1957 1060
38. R. Kikuchi J. Chem. Phys. 60 1974 1071
39. A.C. Guyton Textbook of Medical Physiology 1991 W.B. Saunders Company Philadelphia, PA, USA
40. C.M. Armstrong, and F. Bezanilla J. Gen. Physiol. 63 1974 533
41. R.D. Keynes, and E. Rojans J. Physiol. (London) 239 1974 393
42. F. Conti, L.J. De Feice, and E. Wanke J. Physiol. (London) 248 1975 45