Modeling the effects of channel noise in neurons: A study based on dissipative stochastic mechanics

Fluctuation and Noise Letters

Volumn 6, Issue 2, 2006, Pages

  Güler, Marifi ^a  

^a EASTERN MEDITERRANEAN UNIVERSITY   (Turkey)

Author keywords

Bursting; Channel noise; Modeling channel noise; Rose Hindmarsh; Stochastic ion channels

Indexed keywords

EID: 33646477134     PISSN: 02194775     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219477506003239     Document Type: Article

References (24)

1. J. A. White, J. T. Rubinstein and A. R. Kay, Channel noise in neurons, Trends. Neurosci. 23(3) (2000) 131-137.
2. J. Rubinstein, Threshold fluctuations in N sodium channel model of the node of Ranvier, Biophys. J. 68 (1995) 779-785.
3. C. C. Chow and J. A. White, Spontaneous action potentials due to channel fluctuations, Biophys, J. 71 (1996) 3013-3021.
4. G. Schmid, I. Goychuk and P. Hänggi, Stochastic resonance and optimal clustering for assemblies of ion channels, Fluct. Noise Lett. 4 (2004) L33-L42.
5. S. L. Ginzburg and M. A. Pustovoit, Bursting dynamics of a model neuron induced by intrinsic channel noise, Fluct. Noise Lett. 3 (2003) L265-L274.
6. H. A. Braun et al., Noise-induced impulse pattern modifications at different dynamical period-one situations in a computer model of temperature encoding, BioSystems 62 (2001) 99-112.
7. J. A. White, R. Klink, A. Alonso and A. R. Kay, Noise from voltage-gated ion channels may influence neuronal dynamics in the entorhinal cortex, J. Neurophysiol. 80 (1998) 262-269.
8. U. Feudel, A. Neiman, X. Pei, W. Wojtenek, H. A. Braun and M. T. Huber, Homoclinic bifurcations in a Hodgkin-Huxley model of thermally sensitive neurons, Chaos 10 (2000) 231-239.
9. P. F. Rowat and R. C. Elson, State-dependent effects of Na channel noise on neuronal burst generation, J. Comput. Neurosci. 16 (2004) 87-112.
10. O. V. Sosnovtseva, S. D. Postnova, E. Mosekilde and H. A. Braun, Inter-pattern transitions in a noisy bursting cell, Fluct. Noise Lett. 4 (2004) L521-L533.
11. R. K. Snider, J. F. Kabara, B. R. Roig and A. B. Bonds, Burst firing and modulation of functional connectivity in cat striate cortex, J. Neurophysiol. 80 (1998) 730-744.
12. M. Güler, A model with an intrinsic property of learning higher order correlations, Neural Networks 14 (2001) 495-504.
13. J. L. Hindmarsh and R. M. Rose, A model of neuronal bursting using three coupled first order differential equations, Proc. Roy. Soc. Lond. B 221 (1984) 87-102.
14. E. Nelson, Derivation of the Schrödinger equation from Newtonian mechanics, Phys. Rev. 150 (1966) 1079-1085.
15. E. Nelson, Dynamical Theories of Brownian Motion (Princeton University Press, Princeton, NJ, 1967).
16. B. Skagerstam, Stochastic mechanics and dissipative forces, J. Math. Phys. 18 (1977) 308-311.
17. R. W. Hasse, Microscopic derivation of quantum fluctuations in nuclear reactions, Nucl. Phys. A 318 (1979) 480-506.
18. R. Zwanzig, Nonequilibrium Statistical Mechanics (Oxford University Press, Oxford, 2001).
19. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1999).
20. H. Hofmann and P. J. Siemens, On the dynamics of statistical fluctuations in heavy ion collisions, Nucl. Phys. A 275 (1977) 464-486.
21. A. B. Neiman and D. F. Russell, Stochastic dynamics of electroreceptors in paddlefish, Fluct. Noise Lett. 4 (2004) L139-L149.
22. S. Wu, W. Ren, K. He and Z. Huang, Burst and coherence resonance in Rose-Hindmarsh model induced by additive noise, Phys. Lett. A 279 (2001) 347-354.
23. H. D. A. Abarbanel, R. Huerta, M. I. Rabinovich, N. F. Rulkov, P. F. Rowat and A. I. Selverston, Synchronized action of synaptically coupled chaotic model neurons, Neural Comput. 8 (1996) 1567-1602.
24. M. Güler and C. Ergün, On the effect of the stimulus on the synchronization of coupled Rose-Hindmarsh neurons, in Proc. IEEE-INNS-ENNS Int. Joint Conf. on Neural Networks, (Como, Italy, 2000) III 127-132.