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Mathematical Medicine and Biology Advance Access originally published online on March 1, 2006
Mathematical Medicine and Biology 2006 23(2):79-99; doi:10.1093/imammb/dql003
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© The author 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Development of regular cellular spacing in the retina: theoretical models

Stephen J. Eglen**

Department for Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK

** Email: S.J.Eglen{at}damtp.cam.ac.uk

During development of the nervous system, neurons should be appropriately positioned to enable them to make the right functional contacts. Neurons do not immediately migrate to their correct location, but instead regular arrangements gradually emerge from randomly arranged cell populations. This phenomenon has been studied often in the retina, due to its relatively simple layered organisation. In this review, I highlight the principal mechanisms that are thought to be involved, and how mathematical modelling has helped to further our understanding of the role of these processes upon mosaic formation. Three developmental mechanisms are studied in detail, namely, lateral migration, cell fate and cell death. As a case study, I then consider which mechanisms might be involved in the formation of retinal ganglion cell mosaics.

Received on 18 May 2005. accepted on 29 September 2005.


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