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Journal of Mathematical Biology

, Volume 54, Issue 5, pp 597–622 | Cite as

A mechanism for morphogen-controlled domain growth

  • R. E. BakerEmail author
  • P. K. Maini
Article

Abstract

Many developmental systems are organised via the action of graded distributions of morphogens. In the Drosophila wing disc, for example, recent experimental evidence has shown that graded expression of the morphogen Dpp controls cell proliferation and hence disc growth. Our goal is to explore a simple model for regulation of wing growth via the Dpp gradient: we use a system of reaction-diffusion equations to model the dynamics of Dpp and its receptor Tkv, with advection arising as a result of the flow generated by cell proliferation. We analyse the model both numerically and analytically, showing that uniform domain growth across the disc produces an exponentially growing wing disc.

Keywords

Drosophila Domain growth Morphogen gradient Mathematical model 

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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Centre for Mathematical BiologyMathematical InstituteOxfordUK
  2. 2.Max Planck Institute for Mathematics in the SciencesLeipzigGermany

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