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Interaction of morphogens with geometry

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  • Cummings, F.W.

Abstract

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 morphogen 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.

Suggested Citation

  • Cummings, F.W., 2005. "Interaction of morphogens with geometry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 427-438.
    • Handle: RePEc:eee:phsmap:v:355:y:2005:i:2:p:427-438
    DOI: 10.1016/j.physa.2005.03.014
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    References listed on IDEAS

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    1. Cummings, F.W, 2004. "A model of morphogenesis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 339(3), pages 531-547.
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