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Pattern Formation in Tissue Interaction Models

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Frontiers in Mathematical Biology

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 100))

Abstract

Embryogenesis depends on a series of processes which generate specific patterns at each stage of development. For example, gastrulation, chondrogenesis, formation of scale, feather and hair primordia all involve major symmetry breaking. These ubiquitous spatial pattern formation requirements depend on specific pattern generation mechanisms which are still unknown. They are the subject of much research both theoretical and experimental. In the case of integumental patterns, for example, we do not in general even know when in development the pattern is actually formed. This was the key question studied by Murray et al. (1990) in a recent theoretical and experimental paper on alligator (Alligator missippiensis) stripes.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, FS-20, University of Washington, Seattle, WA, 98195, USA

    J. D. Murray

  2. Centre for Mathematical Biology, Mathematical Institute, 24-29 St. Giles’, Oxford, OX1 3LB, England

    G. C. Cruywagen & P. K. Maini

Authors
  1. J. D. Murray
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  2. G. C. Cruywagen
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  3. P. K. Maini
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Editor information

Editors and Affiliations

  1. Ecology & Evolutionary Biology, Princeton University, Princeton, New Jersey, 08544-1003, USA

    Simon A. Levin

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© 1994 Springer-Verlag Berlin Heidelberg

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Murray, J.D., Cruywagen, G.C., Maini, P.K. (1994). Pattern Formation in Tissue Interaction Models. In: Levin, S.A. (eds) Frontiers in Mathematical Biology. Lecture Notes in Biomathematics, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50124-1_5

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  • DOI: https://doi.org/10.1007/978-3-642-50124-1_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-50126-5

  • Online ISBN: 978-3-642-50124-1

  • eBook Packages: Springer Book Archive

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