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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. Karl Willert & Jeffrey D. Brown & Esther Danenberg & Andrew W. Duncan & Irving L. Weissman & Tannishtha Reya & John R. Yates & Roel Nusse, 2003. "Wnt proteins are lipid-modified and can act as stem cell growth factors," Nature, Nature, vol. 423(6938), pages 448-452, May.
    2. J. B. Gurdon & P.-Y. Bourillot, 2001. "Morphogen gradient interpretation," Nature, Nature, vol. 413(6858), pages 797-803, October.
    3. Sandrine Etienne-Manneville & Alan Hall, 2002. "Rho GTPases in cell biology," Nature, Nature, vol. 420(6916), pages 629-635, December.
    4. Colin Jamora & Ramanuj DasGupta & Pawel Kocieniewski & Elaine Fuchs, 2003. "Erratum: Links between signal transduction, transcription and adhesion in epithelial bud development," Nature, Nature, vol. 424(6951), pages 974-974, August.
    5. Osamu Tetsu & Frank McCormick, 1999. "β-Catenin regulates expression of cyclin D1 in colon carcinoma cells," Nature, Nature, vol. 398(6726), pages 422-426, April.
    6. Jussi Taipale & Philip A. Beachy, 2001. "The Hedgehog and Wnt signalling pathways in cancer," Nature, Nature, vol. 411(6835), pages 349-354, May.
    7. Christof Niehrs, 2001. "Solving a sticky problem," Nature, Nature, vol. 413(6858), pages 787-788, October.
    8. Athula H. Wikramanayake & Melanie Hong & Patricia N. Lee & Kevin Pang & Christine A. Byrum & Joanna M. Bince & Ronghui Xu & Mark Q. Martindale, 2003. "An ancient role for nuclear β-catenin in the evolution of axial polarity and germ layer segregation," Nature, Nature, vol. 426(6965), pages 446-450, November.
    9. Colin Jamora & Ramanuj DasGupta & Pawel Kocieniewski & Elaine Fuchs, 2003. "Links between signal transduction, transcription and adhesion in epithelial bud development," Nature, Nature, vol. 422(6929), pages 317-322, March.
    10. Olga Speck & Sarah C. Hughes & Nicole K. Noren & Rima M. Kulikauskas & Richard G. Fehon, 2003. "Moesin functions antagonistically to the Rho pathway to maintain epithelial integrity," Nature, Nature, vol. 421(6918), pages 83-87, January.
    11. George von Dassow & Eli Meir & Edwin M. Munro & Garrett M. Odell, 2000. "The segment polarity network is a robust developmental module," Nature, Nature, vol. 406(6792), pages 188-192, July.
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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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