Alternating oscillatory and stochastic states in a network of spiking neurons

References

• Abeles M. Local Cortical Circuits. Springer, Berlin 1982
   Google Scholar
• Amit D J, Evans M R, Abeles M. Attractor neural networks with biological probe records. Network 1990; 1: 381–405
   Web of Science ®Google Scholar
• Bush P C, Douglas R J. Synchonization of bursting action potential discharge in a model network of neocortical neurons. Neural Comput. 1991; 3: 19–30
   PubMedGoogle Scholar
• Deppisch J, Pawelzik K, Geisel T. Uncovering the synchronization dynamics from correlated neuronal activity quantifies assembly formation. Biol. Cybern. 1993, submitted
   Web of Science ®Google Scholar
• Eckhorn R, Bauer R, Jordan W, Brosch M, Kruse W, Munk M, Reitboeck H J. Coherent oscillations: a mechanism of feature linking in the visual cortex?. Biol. Cybern. 1988; 60: 121–30
   PubMed Web of Science ®Google Scholar
• Eckhorn R, Reitboeck H J, Arndt M, Dicke P. Feature linking via synchronization among distributed assemblies: simulations of results from cat visual cortex. Neural Comput. 1990; 2: 293–307
   Web of Science ®Google Scholar
• Engel A K, König P, Gray C M, Singer W. Stimulus-dependent neuronal oscillations in cat visual cortex: inter-columnar interaction as determined by cross-correlation analysis. Eur. J. Neurosci. 1990; 2: 588–606
   PubMed Web of Science ®Google Scholar
• Engel A K, Kreiter A K, König P, Singer W. Synchronization of oscillatory neuronal responses between striate and extrastriate visual cortical areas of the cat. Proc. Natl Acad. Sci. 1991a; 88: 6048–52
   PubMed Web of Science ®Google Scholar
• Engel A K, König P, Kreiter A K, Singer W. Interhemispheric synchronization of oscillatory neuronal responses in cat visual cortex. Science 1991b; 252: 1177–9
   PubMed Web of Science ®Google Scholar
• Gray C M, Singer W. Stimulus-specific neuronal oscillations in cat visual cortex: a cortical functional unit. Soc. Neurosci. 1987, Abstracts 13.404.3
   Google Scholar
• Gray C M, Singer W. Stimulus-specific neuronal oscillations in orientation columns of cat visual cortex. Proc. Natl Acad. Sci. 1989; 86: 1698–702
   PubMed Web of Science ®Google Scholar
• Gray C M, Engel A K, König P, Singer W. Stimulus-dependent neuronal oscillations in cat visual cortex: receptive field properties and feature dependence. Eur. J. Neurosc. 1990; 2: 607–19
   PubMed Web of Science ®Google Scholar
• Gray C M, Engel A K, König P, Singer W. Synchronization of oscillatory neuronal responses in cat striate cortex: temporal properties. Vis. Neurosc. 1992; 8: 337–47
   PubMed Web of Science ®Google Scholar
• Gray C M, König P, Engel A K, Singer W. Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature 1989; 338: 334–7
   PubMed Web of Science ®Google Scholar
• Hansel D, Sompolinsky H. Synchronization and computation in a chaotic neural network. Phys. Rev. Lett. 1992; 68: 718–21
   PubMed Web of Science ®Google Scholar
• Koch C, Schuster H-G. A simple network showing burst synchronization without frequency locking. Advances in Neural Information Processing Systems. Morgan Kaufmann, San Mateo, CA 1992; vol 4: 117–24
   Google Scholar
• König P, Schillen T. Stimulus-dependent assembly formation of oscillatory responses: I. Synchronization. Neural Comput. 1991; 3: 155–66
   PubMedGoogle Scholar
• MacGregor R J, McMullen T. Computer simulations of diffusely-connected neuronal populations. Biol. Cybern. 1978; 28: 121–27
   PubMed Web of Science ®Google Scholar
• MacGregor R J, Oliver R M. A model for repetitive firing in neurons. Kybernetik 1974; 16: 53–64
   PubMedGoogle Scholar
• MacGregor R J, Palasek R L. Computer simulations of rhythmic oscillations on neuron pools. Kybernetik 1974; 16: 79–86
   PubMedGoogle Scholar
• Mitzdorf U. Current source-density method and application in cat cerebral cortex: investigation of evoked potentials and EEE phenomena. Physiol. Rev. 1985; 65: 37–100
   PubMed Web of Science ®Google Scholar
• Niebur E, Kammen D, Koch C. Phase-locking in 1-D and 2-D networks of oscillating neurons. Nonlinear Dynamics and Neuronal Networks, H-G Schuster. VCH p, Weinheim 1991; 173
   Google Scholar
• Pawelzik K, Bauer H-U, Geisel T (1993a) Switching between predictable and unpredictable states in data from cat visual cortex. Proc. CNS, San Francisco, 1992, J Bower, F Eeckman. Kluwer, Dordrecht, at press
   Google Scholar
• Pawelzik K, Bauer H-U, Deppisch J, Geisel T. How oscillatory neuronal responses reflect bistability and switching of the hidden assembly dynamics. Advances in Neural Information Processing Systems. Morgan Kaufmann, San Mateo, CA 1993b; vol 5, at press
   Google Scholar
• Schillen T, König P. Stimulus-dependent assembly formation of oscillatory responses: II. Desynchronization. Neural Comput. 1991; 3: 167–78
   PubMedGoogle Scholar
• Schuster H-G. Nonlinear Dynamics. VCH, Weinheim 1988
   Google Scholar
• Schuster H G, Wagner P. A model for neuronal oscillations in the visual cortex: 1. mean-field theory and derivation of the phase equations. Biol. Cybern. 1990a; 64: 77–82
   PubMed Web of Science ®Google Scholar
• Schuster H G, Wagner P. A model for neuronal oscillations in the visual cortex: 2. phase description of the feature dependent synchronization. Biol. Cybern. 1990b; 64: 83–5
   PubMed Web of Science ®Google Scholar
• Sompolinsky H, Golomb D, Kleinfeld D. Cooperative dynamics in visual processing. Phys. Rev. A 1991; 43: 6990–7011
   PubMed Web of Science ®Google Scholar
• Sporns O, Gally J A, Reeke Jr G N, Edelman G M. Reentrant signaling among simulated neuronal groups leads to coherency in their oscillatory activity. Proc. Natl Acad. Sci. 1989; 86: 7265–9
   PubMed Web of Science ®Google Scholar
• Tanaka K. Cross-correlation analysis of geniculostriate neuronal relationships in cats. J. Neurophys. 1983; 49: 1303–17
   PubMed Web of Science ®Google Scholar
• van der Malsburg C. The correlation theory of brain function. Internal Report. 81-2, Max-Planck-Institute for Biophysical Chemistry, GöttingenFederal Republic of Germany 1981
   Google Scholar
• Wang D, Buhmann J, van der Malsburg C. Pattern segmentation in associative memory. Neural Comput. 1990; 2: 94–106
   Google Scholar
• Wilson H R, Cowan J D. Excitatory and inhibitiory interactions in localized populations of model neurons. Biophys. J. 1972; 12: 1–24
   PubMed Web of Science ®Google Scholar