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A model of morphogenesis

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  • Cummings, F.W

Abstract

A new model is presented of a patterning mechanism in animals. It is argued that the ‘Wnt’ signaling pathway often acts in binary conjunction with a variety of other pathways to produce complex patterning. This patterning follows while involving little of the detailed biochemistry of either of the two pathways involved. The patterns arise spontaneously from a state of zero pattern activation upon achieving a specified (epithelial) sphere radius. Gastrulation follows from the simplest solution, and assuming a simplest form for the coupling of the Gauss and Mean curvatures to the morphogens. Numerical solutions are presented, and predictions of the model are discussed.

Suggested Citation

  • Cummings, F.W, 2004. "A model of morphogenesis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 339(3), pages 531-547.
    • Handle: RePEc:eee:phsmap:v:339:y:2004:i:3:p:531-547
    DOI: 10.1016/j.physa.2004.04.047
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    References listed on IDEAS

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    1. Cummings, F.W., 2005. "Interaction of morphogens with geometry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 427-438.

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