Noise-driven neocortical interaction: A simple generation mechanism for complex neuron spiking

Acta Biotheoretica

Volumn 48, Issue 2, 2000, Pages 149-171

  Stoop, R ^a   Schindler, K ^a   Bunimovich, L A ^b  

^a Institute of Neuroinformatics Zurich   (Switzerland)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL; ARTICLE; ARTIFICIAL NEURAL NETWORK; BRAIN MAPPING; CULTURE TECHNIQUE; ELECTROENCEPHALOGRAPHY; EVOKED RESPONSE; NEOCORTEX; NERVE CELL NETWORK; PHYSIOLOGY; PYRAMIDAL NERVE CELL; RAT; SOMATOSENSORY CORTEX; SYNAPTIC TRANSMISSION;

ANIMALS; BRAIN MAPPING; CULTURE TECHNIQUES; ELECTROENCEPHALOGRAPHY; EVOKED POTENTIALS; NEOCORTEX; NERVE NET; NEURAL NETWORKS (COMPUTER); PYRAMIDAL CELLS; RATS; SOMATOSENSORY CORTEX; SYNAPTIC TRANSMISSION;

ANIMALIA;

EID: 0033940685     PISSN: 00015342     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1002769218797     Document Type: Article

References (46)

1. Abeles, M. (1982). Local Cortical Circuits. Berlin: Springer.
2. Argyris, J., G. Faust and M. Haase (1995). Die Erforschung des Chaos. Braunschweig: Vieweg.
3. Arieli, A., A. Sterkin, A. Grinvald and A. Aertsen (1996). Dynamics of ongoing activity: Explanation of the large variability in evoked cortical responses. Science 273: 1868-1871.
4. Baesens, C., J. Guckenheimer, S. Kim and R.S. MacKey (1991). Three coupled oscillators: mode-locking, global bifurcations and toroidal chaos. Physica D 49: 387-475.
5. Bernasconi, C., K. Schindler, R. Stoop and R. Douglas (1999). Complex response to periodic inhibition in simple and detailed neuronal models. Neural Computation 11: 67-74.
6. Bunimovich, L.A. (1995). Coupled map lattices: one step forward and two steps back. Physica D 86: 248-255.
7. Bunimovich, L.A. and Ya.G. Sinai (1988). Space-time chaos in coupled map lattices. Nonlinearity 1: 491-516.
8. Bunimovich, L.A. and S. Ventakagiri (1997). On one mechanism of transition to chaos in lattice dynamical systems. In: R. Stoop and G. Radons, eds. Exact Approaches to Irregular Systems. Physics Reports 290: 81-100.
9. Buzsáki, G., and J.J. Chrobak (1995). Temporal structure in spatially organized neuronal ensembles: a role for interneuronal networks. Current Opinion in Neurobiology 5: 504-510.
10. Cornfeld, I.P., S.V. Fomin and Ya.G. Sinai (1982). Ergodic Theory. Berlin: Springer.
11. Degn, H., A.V. Holden and L.F. Olsen eds. (1987). Chaos in Biological Systems. New York: Plenum.
12. Douglas, R., M. Mahowald, K. Martin and K. Stratford (1996). The role of synapses in cortical computation. The Journal of Neurocytology 25: 893-911.
13. Gaspard, P. and X.-J. Wang (1988). Sporadicity: Between periodic and chaotic dynamical behaviors. Proceedings of the National Academy of Sciences USA 85: 4591-4595.
14. Glass, L., M. Guevara, J. Belair and A. Shrier (1984). Global bifurcations of a periodically forced biological oscillator. Physical Review A 29: 1348-1357.
15. Glass, L. and M. Mackey (1988). From Clocks to Chaos. Princeton: Princeton University Press.
16. Hansel, D. and H. Sompolinski (1996). Chaos and synchrony in a model of a hypercolumn in visual cortex. The Journal of Computational Neuroscience 3: 7-12.
17. Hayaishi, H. and S. Ishizuka (1995). Chaotic responses of the hippocampal CA3 region to a mossy fiber stimulation in vitro. Brain Research 686: 194-206.
18. an der Heiden, F. (1980). Analysis of Neural Networks. Berlin: Springer.
19. Hines, M. (1989). A program for simulation of nerve equations with branching geometries. International Journal of Biomedical Computation 24: 55-68.
20. Hines, M. (1993). The Neuron Simulation Program. In Skrzypek, J., ed., Neural Network Simulation Environments. Amsterdam: Kluwer.
21. Hunter, J.D., J.G. Milton, P.J. Thomas and J. Cowan (1998). Resonance effect for neural spike time reliability. Journal of Neurophysiology 80: 1427-1438.
22. Jensen, R.V. (1998). Synchronization in randomly driven nonlinear oscillators. Physical Review E 58: 6907-6910.
23. Losson, J. and M. Mackey (1994). Statistical cycling in coupled map lattices. Physical Review E 50: 843-856 (and further references given therein).
24. Lyubich, M. Yu (1997). Almost Every Real Quadratic Map is Either Regular or Stochastic. Preprint SUNYSB IMS.
25. Mackey, M.C. and U. an der Heiden (1984). The dynamics of recurrent inhibition. Journal of Mathematical Biology 19: 211-225.
26. de Melo, W. and S. van Strien (1993). One-dimensional dynamics. Berlin: Springer.
27. Ott, E., C. Grebogi and J.A. Yorke (1990). Controlling chaos. Physical Review Letters 64: 1196-1199.
28. Pasemann, F. (1993). Discrete dynamics of two neuron networks. Open Systems and Information Dynamics 2: 49-66.
29. Pasemann, F. (1995a). Characterization of periodic attractors in neural ring networks. Neural Networks 8: 421-429;
30. Pasemann, F. (1995b). Controlling chaos. Physical Review Letters 64: 1196-1199.
31. Peinke, J., J. Parisi, O.E. Roessler and R. Stoop (1992). Encounter with Chaos. Berlin: Springer.
32. Reyes, A.D. and E.E. Fetz, (1993a). Two modes of interspike shortening by brief transient depolarizations in cat neocortical neurons. Journal of Neurophysiology 69: 1661-1672.
33. Reyes, A.D. and E.E. Fetz (1993b). Effects of transient depolarizing potentials on the firing rate of cat neocortical neurons. Journal of Neurophysiology 69: 1673-1683.
34. Schiff, St.J., K. Jerger, D.H. Duong, T. Chang, M.L. Spano and W.L. Ditto (1994). Controlling chaos in the brain. Nature 370: 615-620.
35. Schindler, K., C. Bernasconi, R. Stoop, P. Goodman and R. Douglas (1997). Chaotic spike patterns evoked by periodic inhibition in rat cortical neurons. Zeitung für Naturforschung 52a: 509-512.
36. Schindler, K., R. Stoop, C. Bernasconi, P. Goodman and R. Douglas (2000). Phase-locking induced by periodic inhibition of neocortical neurons, to appear (contains detailed experimental aspects, see also: Schindler, K.. Phil. Dr. Dissertation. University of Zurich. In preparation (1999)).
37. Schindler, K., R. Stoop, C. Bernasconi, P. Goodman and R. Douglas (2000). Phase-locking induced by periodic inhibition of neocortical neurons, to appear (contains detailed experimental aspects, see also: Schindler, K.. Phil. Dr. Dissertation. University of Zurich. In preparation (1999)).
38. Sinai, Ya.G., ed. (1989). Dynamical Systems, Vol. 2, Enzyclopedia of Modern Mathematics. Berlin: Springer.
39. Stoop, R. (1995a). Thermodynamic approach to deterministic diffusion of mixed enhanced-dispersive type. Physical Review E 52: 2216-2219.
40. Stoop, R. (1995b). The diffusion-related entropy function: the enhanced case. Europhysics Letters 29: 433-438.
41. Stoop, R. and W.-H. Steeb (1997). Chaotic family with smooth Lyapunov dependence. Physical Review E 55: 7763-7766.
42. Stoop, R. and P.F. Meier (1988). Evaluation of Lyapunov exponents and scaling functions from time series. Journal of the Optical Society of America B 5: 1037-1045.
43. Stoop, R., K. Schindler and P. Goodman (1999). Chaotic firing of cortical neurons upon inhibitory periodic stimulation. In M.Barbi and S.Chillemi, eds. Chaos and Noise in Biological Systems, Ischia 1997. Singapore: World Scientific.
44. Wang, X.-J. and J. Rinzel (1993). Spindle rythmicity in the recticularis thalamic nucleus. Neuroscience 93: 899-904.
45. Wilson, H.R. and J.D. Cowan (1972). Excitatory and inhibitory interactions in localized populations of model neurons. Biophysical Journal 12: 1-24.
46. Yarom, Y. (1991). Rhythmogenesis in a hybrid system - Interconnecting an olivary neuron to an analog network of coupled oscillators. Neuroscience 44: 263-275.