Chaos and synchrony in a model of a hypercolumn in visual cortex

Journal of Computational Neuroscience

Volumn 3, Issue 1, 1996, Pages 7-34

  Hansel, D ^a   Sompolinsky, H ^b  

^a ECOLE POLYTECHNIQUE   (France)

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICS; MEAN FIELD THEORY; NEURAL NETWORKS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

CORTEXES; CORTICAL NEURONS; CURRENT INJECTIONS; ELECTRICAL INPUTS; HYPERCOLUMNS; IN-VIVO; PARAMETER REGIMES; SPIKE TRAIN; SUPRATHRESHOLD; VISUAL CORTEXES;

NEURONS;

ARTICLE; BRAIN CORTEX; MATHEMATICAL MODEL; NEGATIVE FEEDBACK; NERVE CELL; NERVE CELL NETWORK; POTASSIUM CURRENT; PRIORITY JOURNAL; SIMULATION; SPIKE; SYNAPSE; VISUAL CORTEX; VOLTAGE CLAMP;

EID: 0029983705     PISSN: 09295313     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00158335     Document Type: Article

References (60)

1. Abeles M (1991) Corticonics: Neural Circuits of the Cerebral Cortex. Cambridge University Press, Cambridge.
2. Amit DJ, Brunel N (1995) Global spontaneous activity and local structured (learned) delay activity in cortex. Preprint.
3. Anderson PW, Stein DL (1984) Broken symmetry, emergent properties, dissipative structures, life and its origin: Are they related? In: FE Yates, ed. Self-Organizing Systems: The Emergence of Order. Plenum Press, New York.
4. Bair W, Koch C, Newsome W, Britten K (1994) Power spectrum analysis of bursting cells in Area MT in the behaving monkey. J. Neurosc. 14:2870-2892.
5. Ben-Yishai R, Lev Bar-Or R, Sompolinsky H (1994) Theory of orientation tuning in visual cortex. Proc. Natl. Acad. Sci. (USA) (in press).
6. Berge P, Pomeau Y, Vidal C (1984) Order within Chaos: Towards a Deterministic Approach to Turbulence. Johny Wiley and Hermann, Paris.
7. Bernander Ö, Koch C, Usher M (1994) The effect of synchronized inputs at the single neuron level. Neural Comp. 6:622-641.
8. Burns BD, Webb AC (1976) The spontaneous activity of neurons in the cat's cerebral cortex. Proc. R. Soc. Lond. B 194:211-213.
9. Bush P, Douglas R (1991) Synchronization of bursting action potential discharge in a model network of neocortical neurons. Neural Comp. 3:19-30.
10. Celebrini S, Thorpe S, Trotter Y, Imbert M (1993) Visual Neurosc. 10:811-825.
11. Chapman B, Zahs KR, Stryker MP (1991) Relation of cortical cell orientation selectivity to alignment of receptive fields of the geniculocortical afferents that arborize within a single orientation column in ferret visual cortex. J. Neurosci. 11:1347-1358.
12. Connor JA, Walter D, McKown R (1977) Neural repetitive firing: Modifications of the Hodgkin-Huxley axon suggested by experimental results from crustacean axons. Biophys. J. 18:81-102.
13. Connors BW, Gutnick MJ, Prince DA (1982) Electrophysiological properties of neocortical neurons in vitro. J. Neurophysiol. 48:1302-1320.
14. Dean AF (1981) The variability of discharge of simple cells in cat striate cortex. Exp. Brain Res. 44:437-440.
15. Douglas RJ, Mahowald MA, Martin KAC (1994) Hybrid analog-digital architectures for neuromorphic systems.
16. Eckhorn R, Reitboeck HJ, Arndt M, Dicke P (1990) Feature linking among distributed assemblies: Simulations and results from cat visual cortex. Neural Comp. 2:292-306.
17. Engel AK, Konig P, Kreiter AK, Singer W (1991) Interhemispheric synchronization of oscillatory neuronal responses in cat visual cortex. Science 252:1177-1180.
18. Ernst U, Pawelzik K, Geisel T (1995) Synchronization induced by temporal delays in pulse coupled oscillators. Phys. Rev. Lett. 74:1570-1573.
19. Fetz E, Toyama K, Smith W (1991) Synaptic interactions between cortical neurons. In: A Peters, EG Jones, eds. Cerebral Cortex. Plenum Press, New York. Vol. 9, pp. 1-80.
20. Fregnac Y, Bringuier V, Baranyi A (1994) Oscillatory neuronal activity in visual cortex: A critical re-evaluation. In: G Buzsaki, R Llinas, W Singer, A Berthoz, Y Christen, eds. Temporal Coding in the Brain: Research and Perspectives in Neurosciences. Springer-Verlag, Berlin.
21. Freiwald W (1993) Dynamik lokaler synchronisationen: eine elektrophysiologische untersuchung mit stereotetroden im visuellen system der säugetiere. Diplomarbeit, Tubingen.
22. Georgopoulos AP, Lurito JT, Petrides M, Schwartz AB, Massey JT (1989) Mental rotation of the neuronal population vector. Science 243:234-236.
23. Georgopoulos AP, Taira M, Lukashin A (1993) Cognitive neurophysiology of the motor cortex. Science 260:47-52.
24. Ginzburg I, Sompolinsky H (1994) Theory of correlations in stochastic neural networks. Phys. Rev. E 50:3171-3191.
25. Gochin PM, Miller EK, Gross CG, Gerstein GL (1991) Functional interactions among neurons in inferior temporal cortex of the awake macaque. Exp. Brain Res. 84:505-516.
26. Gray CM, König P, Engel AK, Singer W (1989) Oscillatory responses in cat visual cortex exhibit intercolumnar synchronization which reflects global stimulus properties. Nature 338:334-337.
27. Gustafsson B, Galvan M, Grafe P, Wigstrom H (1982) Transient outward current in mammalian central neuron blocked by 4-aminopyridine. Nature 299:252-254.
28. Hansel D, Sompolinsky H (1992) Synchronization and computation in a chaotic neural network. Phys. Rev. Lett. 68:718-721.
29. Hansel D, Mato G, Meunier C (1995) Synchrony in excitatory neural networks. Neural Comp. 7:307-337.
30. Hodgkin AL, Huxley AF (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol (London) 117:500-544.
31. Hubel DH, Wiesel TN (1962) Receptive fields, binocular interaction and functional architecture in the cat's visual cortex. J. Physiol. Lond 160:106-154.
32. König P, Engel AK, Roelfsema PR, Singer W (1995) How precise is neuronal synchronization. Neural Comp. 7:469-486.
33. Krüger J, Aiple F (1988) Multimicroelectrode investigation of monkey striate cortex: Spike train correlations in the infragranular layers. J. Neurophysiol. 60:798-827.
34. Llinas RR (1988) The intrinsic electrophysiology properties of mammalian neurons: Insights into central nervous system function. Science 242:1654-1664.
35. Lukashin AV, Georgopoulos AP (1994) Directional operations in the motor cortex modeled by a neural network of spiking neurons. Biol. Cybern. 71:79-85.
36. Martin KAC (1988)From single cells to simple circuits in the cerebral cortex. Q. J. Exp. Physiol. 73:637-702.
37. Mason A, Nicoll A, Stratford K (1991) Synaptic transmission between individual pyramidal neurons of the rat visual cortex in vitro. J. Neurosc. 11:72-84.
38. Murthy VN, Fetz EE (1994) Effects of input synchrony on the firing rate of a three-conductance cortical neuron model. Neural Comp. 6:1111-1126.
39. Noda H, Adey WR (1970) Firing variability in cat association cortex during sleep and wakefulness. Brain Res. 18:513-526.
40. Nowak LG, Munk MHJ, Nelson JI, James AC, Bullier J. (1995) The structural basis of cortical synchronization. I. Three types of interhemispheric coupling. J. Neurophysiol. 74:2379-2400.
41. The structural basis of cortical synchronization. II. Effects of cortical lesions. J. Neurophysiol. 74:2401-2414.
42. Rush ME, Rinzel J (1994) The potassium A-current, low firing rates and rebound excitation in Hodgkin-Huxley models. Bulletin of Mathematical Biology 57:899-929.
43. Schiller PH, Finlay BL, Volmann SF (1976) Short-term response variability of monkey striate neurons. Brain Res. 105:347-349.
44. Shadlen MN, Newsome WT (1994) Noise, neural codes and cortical organization. Current Opinion in Neurobiol. 4:569-579.
45. Shepard RN, Metzler J (1971) Mental rotation of three-dimensional objects. Science 171:701-703.
46. Shevelev IA, Sharaev GA, Lazareva NA, Novikova RV, Tikhomirov AS (1993) Dynamics of orientation tuning in the cat striate cortex neurons. Neuroscience 56:865-876.
47. Sillito AM, Kemp JA, Milson JA, Berardi N (1980) A re-evaluation of the mechanisms underlying simple cell orientation selectivity. Brain Res. 194:517-520.
48. Softky W, Koch C (1993) The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSP's. J. Neurosc. 13:334-350.
49. Somers DC, Nelson SB, Sur M (1995) An emergent model of orientation selectivity in cat visual cortical simple cells. J. Neurosc. 15:5448-5465.
50. Stafstrom CE, Schwindt PC, Crill WE (1982) Negative slope conductance due to a persistent subthreshold sodium current in cat neocortical neurons in vitro. Brain Res. 236:221-226.
51. + currents in hippocampal pyramidal neurons. Seminars in The Neurosciences 5:79-92.
52. Tolhurst DJ, Movshon JA, Dean AF (1983) The statistical reliability of signals in single neurons in cat and monkey visual cortex. Vision Res. 23:775-786.
53. Ts'o DY, Gilbert CD, Wiesel TN (1986) Relationship between horizontal interactions and functional architecture in cat striate cortex as revealed by cross-correlation analysis. J. Neurophysiol. 6:1160-1170.
54. Tsodyks M, Sejnowski T (1995) Rapid state switching in balanced cortical network models. Network 6:111-124.
55. Tsumoto T, Eckart W, Creutzfeldt OD (1979) Modification of orientation sensitivity of cat visual cirtex neurons by removal of GABA-mediated inhibition. Exp. Brain Res. 34:351-363.
56. Usher M, Stemmler M, Koch C, Olami Z (1994) Network amplification of local fluctuations causes high spike rate variability, fractal firing patterns and oscillatory local field potentials. Neural Computation 6:795-836.
57. Van Vreeswijk C, Abbott LF, Ermentrout GB (1995) Inhibition, not excitation synchronizes coupled neurons. J. Comp. Neurosci. 1:313-321.
58. Van Vreeswijk C, Sompolinsky H (1995) Theory of randomly connected networks with excitation-inhibition balance. Abstract in Cortical Dynamics. Jerusalem.
59. Vogels R, Spileers W, Orban GA (1989) The response variability of striate cortical neurons in the behaving monkey. Exp. Brain Res. 77:432-436.
60. Woergotter F, Koch C (1991) A detailed model of the primary visual pathway in the cat: Comparison of afferent excitatory and intracortical inhibitory connection schemes for orientation selectivity. J. Neurosc. 11:1959-1979.