Advertisement

Orientation Map Emerges in Parallel with the Formation of Receptive Fields in a Feedforward Neurotrophic Model

  • Mona Mathur
  • Basabi Bhaumik
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3316)

Abstract

A feed-forward neurotrophic model has been shown to generate realistic receptive field (RF) profiles for simple cells that show smooth transitions between subregions and fade off gradually at the boundaries [1]. RF development in the neurotrophic model is determined by diffusive cooperation and resource limited competition guided axonal growth and retraction in the geniculocortical pathway. Simple cells developed through the model are selective for orientation (OR) [1] and capture a wide range of spatial frequency properties of cortical cells [2]. Here, we show that the development of spatial receptive structure of the cells through the phenomena of competition and cooperation is also accompanied with formation of an orientation map (ORmap). Once these maps appear they remain stable.

Keywords

Visual Cortex Receptive Field Cortical Cell Synaptic Strength Simple Cell 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Bhaumik, B., Mathur, M.: A Cooperation and Competition Based Simple cell Receptive Field Model and Study of Feed-forward Linear and Nonlinear Contributions to orientation selectivity. Journal of Computational Neuroscience 14, 211–227 (2003)CrossRefGoogle Scholar
  2. 2.
    Mathur, M., Bhaumik, B.: Study of Spatial frequency selectivity and its spatial organization in the visual cortex through a feedforward model. In: Computational Neuroscience Meeting (CNS), Baltimore, MD, USA (2004)Google Scholar
  3. 3.
    Chapman, B., Stryker, M.P., Bonhoeffer, T.: Development of orientation preference maps in ferret primary visual cortex. Journal of Neuroscience 16, 6443–6453 (1996)Google Scholar
  4. 4.
    Sur, M., Leamey, C.A.: Development and plasticity of cortical areas and networks Nature Reviews Neuroscience.  2, 251–262 (2001)Google Scholar
  5. 5.
    Erwin, E., Obermayer, K., Schulten, K.: Models of orientation and ocular dominance columns in visual cortex: a critical comparison. Neural Computation 7, 425–468 (1995)CrossRefGoogle Scholar
  6. 6.
    Wörgötter, F.: Comparing different modeling approaches of visual cortical cell characteristics. In: Cerebral Cortex, vol. 13, Kluwer Academic, Plenum Publishers, New York (1999)Google Scholar
  7. 7.
    Miller, K.D.: A model for the development of simple cell receptive fields and the ordered arrangement of orientation columns through activity-dependent competition between ON and OFF center inputs. Journal of Neuroscience 14, 409–441 (1994)Google Scholar
  8. 8.
    Stetter, A., Müller, A., Lang, E.W.: Neural network model for the coordinated formation of orientation preference and orientation selectivity maps. Physical Review E 50(5), 4167–4181 (1994)CrossRefGoogle Scholar
  9. 9.
    Miyashita, M., Tanaka, S.: A mathematical model for the self-organization of orientation columns in the visual cortex. NeuroReport 3, 69–72 (1992)CrossRefGoogle Scholar
  10. 10.
    Miller, K.D.: Equivalence of a sprouting-and-retraction model and correlation-based plasticity models of neural development. Neural Computation 10, 529–547 (1998)CrossRefGoogle Scholar
  11. 11.
    Elliott, T., Shadbolt, N.R.: Competition for Neurotrophic factors: Ocular dominance Columns. Journal of Neuroscience 18(15), 5850–5858 (1998)Google Scholar
  12. 12.
    Cellerino, A., Maffei, L.: The action of neurotrophins in the development and plasticity of the visual cortex. Progress in Neurobiology 49, 53–71 (1996)Google Scholar
  13. 13.
    McAllister, A.K., Katz, L.C., Donald, C.: Neurotrophins and synaptic plasticity. Annual Review Neuroscience 22, 295–318 (1999)CrossRefGoogle Scholar
  14. 14.
    Purves, D.: Neural activity and the growth of the brain. Cambridge University Press, Cambridge (1994)Google Scholar
  15. 15.
    Rasmussen, C.E., Willshaw, D.J.: Presynaptic and postsynaptic competition in models for the development of neuromuscular connections. Biol. Cybernetics 68, 409–419 (1993)CrossRefGoogle Scholar
  16. 16.
    Willshaw, D.J.: The establishment and the subsequent elimination of polyneural innervation of developing muscle: theoretical considerations. Proc. R. Soc. B 212, 233–252 (1981)CrossRefGoogle Scholar
  17. 17.
    Bonhoeffer, T., Grinvald, A.: Iso-orientation domains in cat visual cortex are arranged in pinwheel-like patterns. Nature 353, 429–431 (1991)CrossRefGoogle Scholar
  18. 18.
    Niebur, E., Wörgötter, F.: Design Principle of Columnar Organization in Visual Cortex. Neural Computation 6, 602–614 (1994)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Mona Mathur
    • 1
  • Basabi Bhaumik
    • 2
  1. 1.Advanced Systems LaboratoryST MicroelectronicsNoidaIndia
  2. 2.Department of Electrical EngineeringIndian Institute of TechnologyNew DelhiIndia

Personalised recommendations