Baker, Ruth E. and Maini, P. K. (2007) A mechanism for morphogen-controlled domain growth. Journal of Mathematical Biology, 54 (5). pp. 597-622.
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.
|Uncontrolled Keywords:||Drosophila,Domain growth, Morphogen gradient,Mathematical model|
|Subjects:||A - C > Biology and other natural sciences|
|Research Groups:||Centre for Mathematical Biology|
|Deposited By:||Philip Maini|
|Deposited On:||03 Apr 2007|
|Last Modified:||20 Jul 2009 14:22|
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