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A Comparison of Reaction Diffusion and Mechanochemical Models for Limb Development

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Part of the book series: NATO ASI Series ((NSSA,volume 205))

Abstract

Several theoretical models have been proposed to attempt to elucidate the underlying mechanisms involved in the spatial patterning of skeletal elements in the limb. Here, I briefly compare two such models - reaction diffusion (RD) and mechanochemical (MC) - and highlight their properties and predictions.

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References

  • P. Alberch and E. Gale, Size dependency during the development of the amphibian foot. Colchicine induced digital loss and reduction, J. Embryol. exp. Morphol. 76, 177–197 (1983).

    PubMed  CAS  Google Scholar 

  • P.K. Maini and M. Solursh, Cellular mechanisms of pattern formation in the developing limb, Int. Rev. Cytology (to appear).

    Google Scholar 

  • G.F. Oster, J.D. Murray, and A.K. Harris, Mechanical aspects of mesenchymal morphogenesis, J. Embryol. exp. Morphol. 78, 83125 (1983).

    Google Scholar 

  • G.F. Oster, J.D. Murray, and P.K. Maini, A model for chondrogenic condensations in the developing limb: the role of extracellular matrix and cell tractions, J. Embryol. exp. Morphol. 89, 93–112 (1985).

    PubMed  CAS  Google Scholar 

  • G.F. Oster, N. Shubin, J.D. Murray, and P. Alberch, Evolution and morphogenetic rules. The shape of the vertebrate limb in ontogeny and phylogeny, Evolution 45, 862–884 (1988).

    Article  Google Scholar 

  • G.F. Oster and J.D. Murray, Pattern formation models and developmental constraints, in J.P. Trinkaus Anniversary Volume 1989 (in press).

    Google Scholar 

  • A. M. Turing, The chemical basis of morphogenesis, Phil. Trans. Roy. Soc. Lond. B237, 37–72 (1952).

    Article  CAS  Google Scholar 

  • L. Wolpert, Positional information and the spatial pattern of cellular differentiation, J. Theor. Biol. 25, 1–47 (1969).

    Article  PubMed  CAS  Google Scholar 

  • L. Wolpert, Positional information and pattern formation, Phil. Trans. Roy. Soc. Lond. B295, 441–450 (1981).

    Article  Google Scholar 

  • L. Wolpert and A. Hornbruch, Double anterior chick limb buds and models for cartilage rudiment specification, Development 109, 961–966 (1990).

    PubMed  CAS  Google Scholar 

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© 1991 Springer Science+Business Media New York

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Maini, P. (1991). A Comparison of Reaction Diffusion and Mechanochemical Models for Limb Development. In: Hinchliffe, J.R., Hurle, J.M., Summerbell, D. (eds) Developmental Patterning of the Vertebrate Limb. NATO ASI Series, vol 205. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3310-8_23

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  • DOI: https://doi.org/10.1007/978-1-4615-3310-8_23

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6457-3

  • Online ISBN: 978-1-4615-3310-8

  • eBook Packages: Springer Book Archive

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