Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 355, Issue 2-4, Pages 427-438Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2005.03.014
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Morphogen patterns are viewed as being affected by epithelial sheet geometry in early development. As the total area of the (closed) sheet changes, the changing geometry acts back in turn to change the rnorphogen pattern. A number of constraints are given on the functional form of the Gauss and Mean curvatures, considered as functions of the morphogen concentrations and their derivatives. It is shown that the constraints are sufficient to motivate a convincing dependence of the two curvatures on the morphogen concentrations. (c) 2005 Elsevier B.V. All rights reserved.
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