Abstract
We present a technique for the analysis of pattern formation by a class of models for the formation of ocular dominance stripes in the striate cortex of some mammals. The method, which employs the adiabatic approximation to derive a set of ordinary differential equations for patterning modes, has been successfully applied to reaction-diffusion models for striped patterns [1]. Models of ocular dominance stripes have been studied [2,3] by computation, or by linearization of the model equations. These techniques do not provide a rationale for the origin of the stripes. We show here that stripe formation is a non-linear property of the models. Our analysis indicates that stripe selection is closely linked to a property in the dynamics of the models which arises from a symmetry between ipsilateral and contralateral synapses to the visual cortex of a given hemisphere.
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References
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© 1993 Springer Science+Business Media New York
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Lyons, M.J., Harrison, L.G. (1993). Non-linear Analysis of Models for Biological Pattern Formation: Application to Ocular Dominance Stripes. In: Eeckman, F.H. (eds) Neural Systems: Analysis and Modeling. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3560-7_3
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DOI: https://doi.org/10.1007/978-1-4615-3560-7_3
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