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A developmental model of ocular dominance column formation on a growing cortex
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11538_2005_9055_OnlinePDF.pdf | Accepted version | 2.38 MB | Adobe PDF | View/Open |
Title: | A developmental model of ocular dominance column formation on a growing cortex |
Authors: | Oster, AM Bressloff, PC |
Item Type: | Journal Article |
Abstract: | We derive an activity-based developmental model of ocular dominance column formation in primary visual cortex that takes into account cortical growth. The resulting evolution equation for the densities of feedforward afferents from the two eyes exhibits a sequence of pattern forming instabilities as the size of the cortex increases. We use linear stability analysis to investigate the nature of the transitions between successive patterns in the sequence. We show that these transitions involve the splitting of existing ocular dominance (OD) columns, such that the mean width of an OD column is approximately preserved during the course of development. This is consistent with recent experimental observations of postnatal growth in cat. |
Issue Date: | Jan-2006 |
Date of Acceptance: | 13-Apr-2005 |
URI: | http://hdl.handle.net/10044/1/107601 |
DOI: | 10.1007/s11538-005-9055-7 |
ISSN: | 0092-8240 |
Publisher: | Springer |
Start Page: | 73 |
End Page: | 98 |
Journal / Book Title: | Bulletin of Mathematical Biology |
Volume: | 68 |
Issue: | 1 |
Copyright Statement: | Copyright © 2006 Springer-Verlag. This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s11538-005-9055-7 |
Publication Status: | Published |
Online Publication Date: | 2006-02-15 |
Appears in Collections: | Applied Mathematics and Mathematical Physics Mathematics |