Skip to main content
Log in

Synchronized oscillations in the visual cortex — a synergetic model

  • Original Papers
  • Published:
Biological Cybernetics Aims and scope Submit manuscript

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Abeles M (1982) Local cortical circuits. An electrophysiological study. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Braitenberg V, Schüz A (1991) Anatomy of the cortex. Statistics and geometry. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Chawanya T, Aoyagi T, Nishikawa I, Okuda K, Kuramoto Y (1993) A model for feature linking via collective oscillations in the primary visual cortex. Biol Cybern 68:483–490

    Google Scholar 

  • Eckhorn R (1991) Stimulus-specific synchronisations in the visual cortex: linking of local features into global features? In: Krüger J (eds) Neuronal cooperativity. Springer, Berlin Heidelberg New York, pp 184–224

    Google Scholar 

  • Eckhorn R, Reitboeck HJ (1990) Stimulus-specific synchronization in cat visual cortex and its possible role in visual pattern recognition. In: Haken H, Stadler M (eds) Synergetics of cognition. Springer, Berlin Heidelberg New York, pp 99–111

    Google Scholar 

  • Eckhorn R, Bauer R, Jordan W, Brosch M, Kruse W, Munk M, Reitboeck HJ (1988a) Coherent oscillations: a mechanism of feature linking in the visual cortex? Biol Cybern 60:121–130

    Google Scholar 

  • Eckhorn R, Bauer R, Brosch M, Jordan W, Kruse W, Munk M (1988b) Functionally related modules of cat visual cortex show stimulusevoked coherent oscillations: a multiple electrode study. Invest Ophthalmol Vis Sci 29:331

    Google Scholar 

  • Eckhorn R, Reitboeck HJ, Arndt M, Dicke P (1989) Feature linking via stimulus-evoked oscillations: experimental results from cat visual cortex and functional implications from a network model. Neural Networks, Conference on Neural Networks, Washington, Abstr Vol I:723–730

    Google Scholar 

  • Eckhorn R, Dicke P, Kruse W, Reitboeck HJ (1990) Stimulus-related facilitation and synchronization among visual cortical areas: experiments and models. In: Schuster HG, Singer W (eds) Nonlinear Dynamics and neural networks. VCH, Weinheim

    Google Scholar 

  • Eckhorn R, Frien A, Bauer R, Woelbern T, Kehr H (1993) High frequency (60–90 Hz) oscillations in primary visual cortex of awake monkey. NeuroReport 4:243–246

    Google Scholar 

  • Engel AK, König P, Gray CM, Singer W (1990a) Synchronization of oscillatory responses: a mechanism for stimulus-dependent assembly formation in cat visual cortex. In: Eckmiller R, Hartmann G, Hauske G (eds) Parallel processing in neural systems and computers. Elsevier (North Holland), Amsterdam

    Google Scholar 

  • Engel AK, König P, Gray CM, Singer W (1990b) Stimulus-dependent neuronal oscillations in cat visual cortex: inter-columnar interaction as determined by cross-correlation analysis. Eur J Neurosci 2:588–606

    Google Scholar 

  • FitzHugh R (1961) Impulses and physiological states in theoretical models of nerve membrane. Biophys J 1:445–466

    Google Scholar 

  • Freeman WJ (1975) Mass action in the nervous system. Academic Press, New York

    Google Scholar 

  • Gray CM, Singer W (1987) Stimulus specific neuronal oscillations in the cat visual cortex: a cortical functional unit. Soc Neurosci 13:404.3

    Google Scholar 

  • Gray CM, Singer W (1989) Stimulus-specific neuronal oscillations in orientation columns of cat visual cortex. Proc Natl Acad Sci USA 86:1698–1702

    Google Scholar 

  • Gray CM, König P, Engel AK, Singer W (1989) Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature 338:334–337

    Google Scholar 

  • Grossberg S, Somers D (1991) Synchronized oscillations during cooperative feature linking in a cortical model of visual perception. Neural Networks 4:453–466

    Google Scholar 

  • Haken H (1991) Synergetic computers and cognition. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Hodgkin AL, Huxley AF (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol 117:500–544

    Google Scholar 

  • Hubel DH, Wiesel TN (1959) Receptive fields of single neurones in the cat's striate cortex. J Physiol 148:574–591

    Google Scholar 

  • Kreiter A, Singer W (1992) Oscillatory neuronal responses in the visual cortex of the awake macaque monkey. Eur J Neurosci 4:369–375

    Google Scholar 

  • Kuramoto Y (1984) Chemical oscillations, waves, and turbulence. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Livingstone MS (1991) Visually-evoked oscillations in monkey striate cortex. Soc Neurosci Abstr 17:73.3

    Google Scholar 

  • Malsburg C von der (1986) Am I thinking assemblies? In: Palm G, Aertsen A (eds) Brain theory. Springer, Berlin Heidelberg New York, pp 161–176

    Google Scholar 

  • Malsburg C von der, Schneider W (1986) A neural cocktail-party processor. Biol Cybern 54:29–40

    Google Scholar 

  • Marr D (1976) Early processing of visual information. Philos Trans R Soc Lond [Biol] 275:483–524

    Google Scholar 

  • Milner PM (1974) A model for visual shape recognition. Psychol Rev 86:521–535

    Google Scholar 

  • Murray JD (1990) Mathematical biology. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Murthy VN, Fetz EE (1992) Coherent 25–35 Hz oscillations in the sensorimotor cortex of the awake behaving monkey. Proc Natl Acad Sci USA 89:5670–5674

    Google Scholar 

  • Nagumo JS, Arimoto S, Yoshizawa S (1962) An active pulse transmission line simulating nerve axon. Proc IRE 50:2061–2071

    Google Scholar 

  • Neuenschwander S, Varela FJ (1990) Sensory-triggered oscillatory activity in the avian tectum. Soc Neurosci Abstr 16:47.6

    Google Scholar 

  • Orban GA (1984) Neuronal operations in the visual cortex. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Plant RE (1981) Bifurcation and resonance in a model for bursting nerve cells. J Math Biol 11:15–32

    Google Scholar 

  • Ramachandran VS (1988) Perception of shape from shading. Nature 331:163–166

    Google Scholar 

  • Schanze T, Eckhorn R, Baumgarten H (1990) Properties of stimulusinduced oscillatory events in cat visual cortex. In: Elsner N, Roth G (eds) Brain, perception and cognition. Thieme, Stuttgart

    Google Scholar 

  • Scheibel AB (1981) The problem of selective attention: a possible structural substrate. In: Pompeiano O, Ajmone Marsan C (eds) Brain mechanisms of perceptual awareness and purposeful behavior. Raven, New York

    Google Scholar 

  • Schillen TB, König P (1994) Binding by temporal structure in multiple feature domains of an oscillatory neuronal network. Biol Cybern 70:397–405

    Google Scholar 

  • Schuster HG, Wagner P (1990a) A model for neuronal oscillations in the visual cortex. 1. Mean-field theory and derivation of the phase equations. Biol Cybern 64:77–82

    Google Scholar 

  • Schuster HG, Wagner P (1990b) A model for neuronal oscillations in the visual cortex. 2. Phase description of the feature dependent synchronization. Biol Cybern 64:83–85

    Google Scholar 

  • Shimizu H, Yamaguchi Y, Tsuda I, Yano M (1986) Pattern recognition based on holonic information dynamics: towards synergetic computers. In: Haken H (eds) Complex systems-operational approaches. Springer, Berlin Heidelberg New York, pp 225–240

    Google Scholar 

  • Singer W (1989) Search for coherence: a basic principle of cortical self-organization. Concepts Neurosci 1:1–26

    Google Scholar 

  • Singer W (1991) The formation of cooperative cell assemblies in the visual cortex. In: Krüger J (eds) Neuronal cooperativity. Springer, Berlin Heidelberg New York, pp 165–183

    Google Scholar 

  • Sompolinsky H, Golomb D, Kleinfeld D (1991) Cooperative dynamics in visual processing. Phys Rev A 43:6990–7011

    Google Scholar 

  • Tass P, Haken H (1995) Synchronization in networks of coupled limit cycle-oscillators. Z Phys B (in press)

  • Treisman A (1986) Properties, parts and objects. In: Boff K, Kaufman L, Thomas I (eds) Handbook of perception and human performances. Wiley, New York, pp 1–70

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tass, P., Haken, H. Synchronized oscillations in the visual cortex — a synergetic model. Biol. Cybern. 74, 31–39 (1996). https://doi.org/10.1007/BF00199135

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00199135

Keywords

Navigation