Synchronized oscillations in the visual cortex — a synergetic model

We present an oscillator network model for the synchronization of oscillatory neuronal activity underlying visual processing. The single neuron is modeled by means of a limit cycle oscillator with an eigenfrequency corresponding to visual stimulation. The eigenfrequency may be time dependent. The mutual coupling strengths are unsymmetrical and activity dependent, and they scatter within the network. Synchronized clusters (groups) of neurons emerge in the network due to the visual stimulation. The different clusters correspond to different visual stimuli. There is no limitation of the number of stimuli. Distinct clusters do not perturb each other, although the coupling strength between all model neurons is of the same order of magnitude. Our analysis is not restricted to weak coupling strength. The scatter of the couplings causes shifts of the cluster frequencies. The model's behavior is compared with the experimental findings. The coupling mechanism is extended in order to model the influence of bicucullin upon the neural network. We additionally investigate repulsive couplings, which lead to constant phase differences between clusters of the same frequency. Finally, we consider the problem of selective attention from the viewpoint of our model.

[1]  E. Fetz,et al.  Coherent 25- to 35-Hz oscillations in the sensorimotor cortex of awake behaving monkeys. , 1992, Proceedings of the National Academy of Sciences of the United States of America.

[2]  W. Singer,et al.  Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties , 1989, Nature.

[3]  Toshio Aoyagi,et al.  A model for feature linking via collective oscillations in the primary visual cortex , 2004, Biological Cybernetics.

[4]  D Marr,et al.  Early processing of visual information. , 1976, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[5]  W. Singer,et al.  Oscillatory Neuronal Responses in the Visual Cortex of the Awake Macaque Monkey , 1992, The European journal of neuroscience.

[6]  Peter König,et al.  Binding by temporal structure in multiple feature domains of an oscillatory neuronal network , 1994, Biological Cybernetics.

[7]  Hermann Haken,et al.  Synchronization in networks of limit cycle oscillators , 1996 .

[8]  R. Eckhorn,et al.  Coherent oscillations: A mechanism of feature linking in the visual cortex? , 1988, Biological Cybernetics.

[9]  Prof. Dr. Valentino Braitenberg,et al.  Anatomy of the Cortex , 1991, Studies of Brain Function.

[10]  S. Yoshizawa,et al.  An Active Pulse Transmission Line Simulating Nerve Axon , 1962, Proceedings of the IRE.

[11]  C. von der Malsburg,et al.  Am I Thinking Assemblies , 1986 .

[12]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1990 .

[13]  Professor Dr. Dr. h.c. Hermann Haken,et al.  Synergetic Computers and Cognition , 1991, Springer Series in Synergetics.

[14]  Ch. von der Malsburg,et al.  A neural cocktail-party processor , 1986, Biological Cybernetics.

[15]  Professor Moshe Abeles,et al.  Local Cortical Circuits , 1982, Studies of Brain Function.

[16]  M. Abeles.  Local Cortical Circuits: An Electrophysiological Study , 1982 .

[17]  Yoshiki Kuramoto,et al.  Chemical Oscillations, Waves, and Turbulence , 1984, Springer Series in Synergetics.

[18]  W. Singer,et al.  Stimulus‐Dependent Neuronal Oscillations in Cat Visual Cortex: Inter‐Columnar Interaction as Determined by Cross‐Correlation Analysis , 1990, The European journal of neuroscience.

[19]  Sompolinsky,et al.  Cooperative dynamics in visual processing. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[20]  D. Hubel,et al.  Receptive fields of single neurones in the cat's striate cortex , 1959, The Journal of physiology.

[21]  Donald O. Walter,et al.  Mass action in the nervous system , 1975 .

[22]  Stephen Grossberg,et al.  Synchronized oscillations during cooperative feature linking in a cortical model of visual perception , 1991, Neural Networks.

[23]  Hiroshi Shimizu,et al.  Pattern Recognition Based on Holonic Information Dynamics: Towards Synergetic Computers , 1985 .

[24]  W. Singer,et al.  The formation of cooperative cell assemblies in the visual cortex. , 1990, The Journal of experimental biology.

[25]  T. M. Mayhew,et al.  Anatomy of the Cortex: Statistics and Geometry. , 1991 .

[26]  R. FitzHugh.  Impulses and Physiological States in Theoretical Models of Nerve Membrane. , 1961, Biophysical journal.

[27]  H. Schuster,et al.  A model for neuronal oscillations in the visual cortex , 1990, Biological Cybernetics.

[28]  R. Eckhorn,et al.  High frequency (60-90 Hz) oscillations in primary visual cortex of awake monkey. , 1993, Neuroreport.

[29]  R. Eckhorn,et al.  Stimulus-Specific Synchronization in Cat Visual Cortex and Its Possible Role in Visual Pattern Recognition , 1990 .

[30]  R. Plant,et al.  Bifurcation and resonance in a model for bursting nerve cells , 1981, Journal of mathematical biology.

[31]  P. Dicke,et al.  Feature linking via stimulus-evoked oscillations: experimental results from cat visual cortex and functional implications from a network model , 1989, International 1989 Joint Conference on Neural Networks.

[32]  Reinhard Eckhorn,et al.  Stimulus-Specific Synchronizations in the Visual Cortex: Linking of Local Features Into Global Figures? , 1991 .

[33]  Professor Dr. Guy A. Orban.  Neuronal Operations in the Visual Cortex , 1983, Studies of Brain Function.

[34]  Anne Treisman,et al.  Properties, Parts, and Objects , 1986 .

[35]  W. Singer,et al.  Stimulus-specific neuronal oscillations in orientation columns of cat visual cortex. , 1989, Proceedings of the National Academy of Sciences of the United States of America.

[36]  V. S. Ramachandran,et al.  Perception of shape from shading , 1988, Nature.

[37]  P. Milner.  A model for visual shape recognition. , 1974, Psychological review.