Noise-assisted spike propagation in myelinated neurons

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 79, Issue 1, 2009, Pages

  Ochab Marcinek, Anna ^a,b   Schmid, Gerhard ^a   Goychuk, Igor ^a   Hänggi, Peter ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

^b JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

STOCHASTIC MODELS;

ELECTRIC COUPLINGS; FINITE NUMBERS; HODGKIN-HUXLEY MODELS; INTRINSIC NOISE; ION CHANNELS; MYELINATED AXONS; OPTIMUM NUMBERS; SIGNAL PROPAGATION; SPIKE PROPAGATION; SUB THRESHOLDS;

NEURONS;

EID: 59249083335     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.011904     Document Type: Article

References (34)

1. C. Koch, Biophysics of Computation, Information Processing in Single Neurons (Oxford University Press, New York, 1999).
2. J. Keener and J. Sneyd, Mathematical Physiology (Springer, New York, 2001).
3. S. B. Laughlin, R. R. de Ruyter van Steveninck, and J. C. Anderson, Nat. Neurosci. 1, 36 (1998); 10.1038/236
4. S. B. Laughlin and T. J. Sejnowski, Science 301, 1870 (2003). 10.1126/science.1089662
5. S. M. Bezrukov and L. B. Kish, Smart Mater. Struct. 11, 800 (2002). 10.1088/0964-1726/11/5/327
6. H. Lecar and R. Nossal, Biophys. J. 11, 1048 (1971);
7. H. Lecar and R. Nossal, Biophys. J. 11, 1068 (1971).
8. F. Sagués, J. M. Sancho, and J. García-Ojalvo, Rev. Mod. Phys. 79, 829 (2007). 10.1103/RevModPhys.79.829
9. B. Lindner, J. García-Ojalvo, A. Neiman, and L. Schimansky-Geier, Phys. Rep. 392, 321 (2004). 10.1016/j.physrep.2003.10.015
10. G. Schmid, I. Goychuk, and P. Hänggi, Europhys. Lett. 56, 22 (2001). 10.1209/epl/i2001-00482-6
11. P. Jung and J. W. Shuai, Europhys. Lett. 56, 29 (2001). 10.1209/epl/i2001-00483-y
12. S. Zeng, Y. Tang, and P. Jung, Phys. Rev. E 76, 011905 (2007); 10.1103/PhysRevE.76.011905
13. S. Zeng and P. Jung, Phys. Rev. E 71, 011910 (2005). 10.1103/PhysRevE.71. 011910
14. D. Hennig and L. Schimansky-Geier, Physica A 387, 967 (2008). 10.1016/j.physa.2007.10.028
15. D. Hennig and L. Schimansky-Geier, Phys. Rev. E 76, 026208 (2007). 10.1103/PhysRevE.76.026208
16. E. Glatt, M. Gassel, and F. Kaiser, Europhys. Lett. 81, 40004 (2008). 10.1209/0295-5075/81/40004
17. E. M. Izhikevich, Int. J. Bifurcation Chaos Appl. Sci. Eng. 10, 1171 (2000). 10.1142/S0218127400000840
18. A. L. Hodgkin and A. F. Huxley, J. Physiol. (London) 117, 500 (1952).
19. It is worth noticing that in our model study we use parameters for the squid giant axon. In realistic nodes of Ranvier, the sodium ion channel density is larger at least by a factor of 10 than that of the potassium ion channels. A physiologically more realistic model is left for a separate study.
20. I. Goychuk and P. Hänggi, Proc. Natl. Acad. Sci. U.S.A. 99, 3552 (2002). 10.1073/pnas.052015699
21. C. C. Chow and J. A. White, Biophys. J. 71, 3013 (1996).
22. H. C. Tuckwell, J. Theor. Biol. 127, 427 (1987). 10.1016/S0022-5193(87) 80140-6
23. R. F. Fox and Y. N. Lu, Phys. Rev. E 49, 3421 (1994). 10.1103/PhysRevE.49.3421
24. P. Hänggi and H. Thomas, Phys. Rep. 88, 207 (1982); 10.1016/0370-1573(82)90045-X
25. see Sec. 6.2.
26. G. Schmid, I. Goychuk, and P. Hänggi, Phys. Biol. 3, 248 (2006). 10.1088/1478-3975/3/4/002
27. P. Hänggi and H. Thomas, Phys. Rep. 88, 207 (1982); 10.1016/0370-1573(82)90045-X
28. see Sec. 2.4.
29. K. Aihara, G. Matsumoto, and Y. Ikegaya, J. Theor. Biol. 109, 249 (1984). 10.1016/S0022-5193(84)80005-3
30. G. Schmid, I. Goychuk, and P. Hänggi, Physica A 325, 165 (2003). 10.1016/S0378-4371(03)00195-X
31. F. J. Sigworth, J. Physiol. (London) 307, 97 (1980).
32. F. Conti and E. Wanke, Q. Rev. Biophys. 8, 451-506 (1975).
33. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998). 10.1103/RevModPhys.70.223
34. P. Hänggi, ChemPhysChem 3, 285 (2002). 10.1002/1439-7641(20020315)3: 3<285::AID-CPHC285>3.0.CO;2-A