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.
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References
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)
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)
Chapman, B., Stryker, M.P., Bonhoeffer, T.: Development of orientation preference maps in ferret primary visual cortex. Journal of Neuroscience 16, 6443–6453 (1996)
Sur, M., Leamey, C.A.: Development and plasticity of cortical areas and networks Nature Reviews Neuroscience. 2, 251–262 (2001)
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)
Wörgötter, F.: Comparing different modeling approaches of visual cortical cell characteristics. In: Cerebral Cortex, vol. 13, Kluwer Academic, Plenum Publishers, New York (1999)
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)
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)
Miyashita, M., Tanaka, S.: A mathematical model for the self-organization of orientation columns in the visual cortex. NeuroReport 3, 69–72 (1992)
Miller, K.D.: Equivalence of a sprouting-and-retraction model and correlation-based plasticity models of neural development. Neural Computation 10, 529–547 (1998)
Elliott, T., Shadbolt, N.R.: Competition for Neurotrophic factors: Ocular dominance Columns. Journal of Neuroscience 18(15), 5850–5858 (1998)
Cellerino, A., Maffei, L.: The action of neurotrophins in the development and plasticity of the visual cortex. Progress in Neurobiology 49, 53–71 (1996)
McAllister, A.K., Katz, L.C., Donald, C.: Neurotrophins and synaptic plasticity. Annual Review Neuroscience 22, 295–318 (1999)
Purves, D.: Neural activity and the growth of the brain. Cambridge University Press, Cambridge (1994)
Rasmussen, C.E., Willshaw, D.J.: Presynaptic and postsynaptic competition in models for the development of neuromuscular connections. Biol. Cybernetics 68, 409–419 (1993)
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)
Bonhoeffer, T., Grinvald, A.: Iso-orientation domains in cat visual cortex are arranged in pinwheel-like patterns. Nature 353, 429–431 (1991)
Niebur, E., Wörgötter, F.: Design Principle of Columnar Organization in Visual Cortex. Neural Computation 6, 602–614 (1994)
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© 2004 Springer-Verlag Berlin Heidelberg
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Mathur, M., Bhaumik, B. (2004). Orientation Map Emerges in Parallel with the Formation of Receptive Fields in a Feedforward Neurotrophic Model. In: Pal, N.R., Kasabov, N., Mudi, R.K., Pal, S., Parui, S.K. (eds) Neural Information Processing. ICONIP 2004. Lecture Notes in Computer Science, vol 3316. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30499-9_12
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DOI: https://doi.org/10.1007/978-3-540-30499-9_12
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