Stochastic and coherence resonance in an in silico neural model

Annals of Biomedical Engineering

Volumn 32, Issue 5, 2004, Pages 732-743

  Chiu, Alan W L ^a   Bardakjian, Berj L ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

CA3 neural model; Chaos control; Coherence resonance; Coupled nonlinear oscillators; Electric field coupling; Gap junctional coupling; Gaussian white noise; Hippocampal neurons; Stochastic resonance; Super gamma rhythms; Theta rhythms

Indexed keywords

ELECTRIC POTENTIAL; RESONANCE; SEMICONDUCTOR JUNCTIONS; SENSITIVITY ANALYSIS; SILICA; STOCHASTIC CONTROL SYSTEMS;

CA3 NEURAL MODEL; COHERENCE RESONANCE; COUPLED NONLINEAR OSCILLATORS; ELECTRIC FIELD COUPLING; GAP JUNCTIONAL COUPLING; GAUSSIAN WHITE NOISE; HIPPOCAMPAL NEURONS; STOCHASTIC RESONANCE; SUPER GAMMA RHYTHMS; THETA RHYTHMS;

NEUROLOGY;

ACTION POTENTIAL; ADAPTATION; ANIMAL; ARTICLE; BIOLOGICAL MODEL; BIOLOGICAL RHYTHM; COMPARATIVE STUDY; COMPUTER SIMULATION; EVALUATION; FEEDBACK SYSTEM; HIPPOCAMPUS; NERVE CELL; NERVE CELL NETWORK; PHYSIOLOGY; RAT; STATISTICAL MODEL; STATISTICS; SYNAPTIC TRANSMISSION; VALIDATION STUDY;

ACTION POTENTIALS; ADAPTATION, PHYSIOLOGICAL; ANIMALS; BIOLOGICAL CLOCKS; COMPUTER SIMULATION; FEEDBACK; HIPPOCAMPUS; MODELS, NEUROLOGICAL; MODELS, STATISTICAL; NERVE NET; NEURONS; RATS; STOCHASTIC PROCESSES; SYNAPTIC TRANSMISSION;

EID: 3042828432     PISSN: 00906964     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:ABME.0000030238.50895.f0     Document Type: Article

References (64)

1. Avoli, M., M. d'Antuono, J. Louvel, R. Kohling, G. Biagini, R. Pumain, G. D'Arcangelo, and V. Tancredi. Network and pharmacological mechanisms leading to epileptiform synchronization. Prog. Neurobiol. 68:167-207, 2002.
2. Bardakjian, B. L., R. Aschebrenner-Scheibe, J. L. Perez-Velazquez, and P. Carlen. Transmembrane voltage oscillations in CA3 neurons. IEEE 17th Annu. Conf. EMBS 17:1503-1504, 1995.
3. Bardakjian, B. L., and N. E. Diamant. A mapped clock oscillator model for transmembrane electrical rhythmic activity in excitable cells. J. Theor. Biol. 166:225-235, 1994.
4. Bardakjian, B. L., T. Y. El-Sharkawy, and N. E. Diamant, On a population of coupled synthesized relaxation oscillators representing biological rhythms. IEEE Trans. Biomed. Eng. BME-30:696-701, 1983.
5. Bardakjian, B. L., T. Y. El-Sharkawy, and N. E. Diamant, Interaction of coupled nonlinear oscillators having different intrinsic resting levels. J. Theor. Biol. 106:9-23, 1984.
6. Bardakjian, B. L., and M. M. Lau. The refractory properties of mapped clock oscillators representing smooth muscle electrical oscillations. Prog. Clin. Biol. Res. 327:627-634, 1990.
7. Bardakjian, B. L., S. K. Sarna, and N. E. Diamant. Composite synthesized relaxation oscillators: Application to modeling of colonic electrical control and response activity. J. Gastrointest. Motil. 2:109-116, 1990.
8. Basar, E., C. Basar-Eroglu, S. Karakas, and M. Schumann. Oscillatory brain theory: A new trend in neuroscience. IEEE EMBS Mag. 18:56-66, 1999.
9. Benzi, R., S. Sutera, and A. Vulpiani. The mechanism of stochastic resonance. J. Phys. A14:L453-L457, 1981.
10. Bezrukov, S. M., and I. Vodyanoy. Noise-induced enhancement of signal transduction across voltage-dependent ion channels. Nature 378:362-364, 1995.
11. 2+ model of epileptiform activity. J. Neurophysiol. 82:2262-2270, 1999.
12. Bulsara, A., and G. Schmera. Stochastic resonance in globally coupled interacting oscillators. Phys. Rev. E 47:3734, 1993.
13. Buzsáki, G., D. L. Buhl, K. D. Harris, J. Csicsvari, B. Czéh, and A. Morozov. Hippocampal network patterns of activity in the mouse. Neuroscience 116:201-211, 2003.
14. Chay, T. R. Bursting excitable cell models by a slow calcium current. J. Theor. Biol. 142:305-315, 1990.
15. Chik, D. T. W., Y. Wang, and Z. D. Wang. Stochastic resonance in a Hodgkin-Huxley neuron in the absence of external noise. Phys. Rev. E 64:021913, 2001.
16. Chiu, A. W. L., and B. L. Bardakjian. Control of state transitions in an in-silico model of epilepsy using small perturbations. IEEE Trans. Biomed. Eng. 2004 (in press).
17. Collins, J. J., T. T. Imhoff, and P. Grigg, Noise-enhanced information transmission in rate SAl cutaneous mechanoreceptors via aperiodic stochastic resonance. J. Neurophysiol. 76:642-645, 1996.
18. D'Aguanno, A., B. L. Bardakjian, and P. L. Carlen. A system model for investigating passive electrical properties of neurons. Biophys. J. 55:1169-1182, 1989.
19. Douglas, J. K., L. Wilkens, E. Pantazelou, and F. Moss. Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance. Nature 365:337-340, 1993.
20. Durand, D. M., and W. C. Stacey. Stochastic and coherence resonance in hippocampal neurons. Int. Conf. IEEE Eng. Med. Biol. Soc. 18:1179.
21. Ermentrout, G. B., and N. Kopell. Frequency plateaus in a chain of weakly coupled oscillators. SIAM J. Math. Anal. 15:215-237, 1984.
22. Fisahn, A., F. G. Pike, E. H. Buhl, and O. Paulsen. Cholinergic induction of network oscillation at 40Hz in the hippocampus in vitro. Nature 394:186-189, 1998.
23. Fitzhugh, R. Impulses and physiological states in the theoretical models of nerve membrane. Biophys. J. 1:445-466, 1961.
24. Gammaitoni, L., M. Martinelli, L. Pardi, and S. Santucci. Noise induced phenomena in electron paramagnetic resonance systems. Mod. Phys. Lett. B 6:197, 1992.
25. Gluckman, B. J., T. I. Netoff, E. J. Neel, W. L. Ditto, M. L. Spano, and S. J. Schiff. Stochastic resonance in a neuronal network from mammalian brain. Phys. Rev. Lett. 77:4098-4101, 1996.
26. Grasman, J. The mathematical modeling of entrained biological oscillators. Bull. Math. Biol. 46:407-422, 1984.
27. Han, S. K., T. G. Yim, D. E. Postnov, and O. V. Sosnovtseva. Interacting coherence resonance oscillators. Phys. Rev. Lett. 83:1771-1774, 1999.
28. Harris, K. D., D. A. Henze, H. Hirase, X. Leinekugel, G. Dragoi, A. Czurkó, and G. Buzsáki. Spike train dynamics predicts theta-related phase precession in hippocampal pyramidal cells. Nature 417:738-741, 2002.
29. Hasselmo, M. E., C. Bodelon, and B. P. Wyble. A proposed function for hippocampal theta rhythm: Separate phases of encoding and retrieval enhance reversal of prior learning. Neural Comput. 14:793-817, 2002.
30. Hodgkin, A. L., and A. F. Huxley. A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. 117:500, 1952.
31. Horikawa, Y. Coherence resonance with multiple peaks in a coupled FilzHugh-Nagumo model. Phys. Rev. E 64:031905, 2001.
32. Jefferys, J., R. Traub, and M. Whittington. Neuronal networks for induced 40 Hz rhythms. Trends Neurosci. 19:202-208, 1996.
33. Joliot, M., U. Ribary, and R. Llinás. Human oscillatory brain activity near 40 Hz coexists with cognitive temporal binding. Proc. Natl. Acad. Sci. U.S.A. 91:11748-11751, 1994.
34. Khosravani, H., P. L. Carlen, and J. L. Ferez-Velazquez. The control of seizure-like activity in rat hippocampal slice. Biophys. J. 84:687-695, 2003.
35. Kopell, N., and G. B. Ermentrout. Subcellular oscillations and bursting. Math. Biosci. 78:265-291, 1986.
36. Lai, Y. C., and Z. Liu. Noise-enhanced temporal regularity in coupled chaotic oscillators. Phys. Rev. E 64:066202, 2001.
37. Lee, S. G., A. Neiman, and S. Kim. Coherence resonance in a Hodgkin-Huxley neuron. Phys. Rev. E 57:3292-3297, 1998.
38. Levin, J. E., and J. P. Miller. Broadband neural encoding in the cricket cereal sensory system enhanced by stochastic resonance. Nature 380:165-168, 1996.
39. Llinás, R. R., A. Grace, and Y. Yarom. In vitro neurons in mammalian cortical layer 4 exhibit intrinsic oscillatory activity in the 10- to 50-Hz frequency range. Proc. Nat. Acad. Sci. U.S.A. 88:897-901, 1991.
40. Llinás, R. R., E. Leznik, and F. J. Urbano. Temporal binding via cortical coincidence detection of specific and nonspecific thalamocortical inputs: A voltage-dependent dye-imaging study in mouse brain slices. Proc. Natl. Acad. Sci. 99:449-454, 2002.
41. Mantegna, R., and B. Spagnolo. Stochastic resonance in a tunnel diode. Phys. Rev. E 49:R1792, 1994.
42. McNamara, B., K. Wiesenfeld, and R. Roy. Observation of stochastic resonance in a ring laser. Phys. Rev. Lett. 60:2626, 1988.
43. Pavlidis, T. Biological Oscillators: Their Mathematical Analysis. New York: Academic Press, 1973.
44. Perez-Velazquez, J. L., H. Khosravani, A. Lozano, B. L. Bardakjian, P. L. Carlen, and R. Wennberg. Type III intermittency in human partial epilepsy. Eur. J. Neurosci. 11:2571-2576, 1999.
45. + channel at various temperatures. Biophys. J. 66:1844-1852, 1994.
46. Plant, R. E., and M. Kim. Mathematical description of a bursting pacemaker neuron by a modification of the Hodgkin-Huxley equations. Biophys. J. 16:227-244, 1976.
47. Plesser, H. E., and W. Gerstner. Noise in integrate-and-fire neurons: From stochastic input to escape rates. Neural Comput. 12:367-384, 2000.
48. Plesser, H. E., and S. Tanaka. Stochastic resonance in a model neuron with reset. Phys. Lett. A 225:228-234, 1997.
49. Rinzel, J. A formal classification of bursting mechanisms in excitable systems. In: Mathematical Topics in Population Biology, Morphogenesis, and Neurosciences, Vol. 71, edited by E. Teramoto and M. Yamaguti New York: Springer-Verlag, 1987, pp. 267-281.
50. Sherman, A., and J. Rinzel. Model for synchronization of pancreatic β-cells by gap junction coupling. Biophys. J. 59:547-559, 1991.
51. Shinohara, Y., T. Kanamaru, H. Suzuki, T. Horita, and K. Aihara. Array-enhanced coherence resonance and forced dynamics in coupled FitzHugh-Nagumo neurons with noise. Phys. Rev. E 65:051906, 2002.
52. Spano, M. L., M. Wun-Fogle, and W. L. Ditto. Experimental observation of stochastic resonance in a magnetoelastic ribbon. Phys. Rev. A 46:R5253, 1992.
53. Stacey, W. C., and D. M. Durand. Stochastic resonance improves signal detection in hippocampal cal neurons. J. Neurophysiol., 83:1394-1402, 2000.
54. Stacey, W. C., and D. M. Durand. Synaptic noise improves detection of subthreshold signals in hippocampal CA1 neurons. J. Neurophysiol. 86:1104-1112, 2001.
55. Stacey, W. C., and D. M. Durand. Noise and coupling affect signal detection and bursting in a simulated physiological neural network. J. Neurophysiol. 88:2598-2611, 2002.
56. Sun, M., M. L. Scheuer, and R. J. Sclabassi. Extraction and analysis of early ictal activity in subdural electroencephalogram. Ann. Biomed. Eng. 29:878-886, 2001.
57. Tanabe, S., and K. Pakdaman. Noise-enhanced neuronal reliability. Phys. Rev. E 64:041904, 2001.
58. Vemuri, G., and R. Roy. Stochastic resonance in a bistable ring laser. Phys. Rev. A 39:4668, 1989.
59. Walleczek, J. (editor). Self-Organized Biological Dynamics and Nonlinear Control. New York: Cambridge University Press, 2000.
60. Wang, Y., D. T. W. Chik, and Z. D. Wang. Coherence resonance and noise-induced synchronization in globally coupled Hodgkin-Huxley neurons. Phys. Rev. E 61:740-746, 2000.
61. Whittington, M. A., R. D. Traub, H. J. Faulkner, I. M. Stanford, and J. G. R. Jefferys. Recurrent excitatory postsynaptic potentials induced by synchronized fast cortical oscillations. Proc. Natl. Acad. Sci. 94:12198-12203, 1997.
62. Wilkens, L. A., D. F. Russell, X. Pei, and C. Gurgens. Paddlefish rostrum functions and an electrosensory antenna. Proc. R. Soc. (Lond.) 264:1723-1729, 1998.
63. Winfree, T. A. The Geometry of Biological Time. New York: Springer-Verlag, 1980.
64. Winfree, T. A. Electrical instability in cardiac muscle: Phase singularities and rotors. J. Theor. Biol. 138:353-405, 1989.