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A reaction–diffusion wave on the skin of the marine angelfish Pomacanthus

Abstract

IN 1952, Turing proposed a hypothetical molecular mechanism, called the reaction–diffusion system1, which can develop periodic patterns from an initially homogeneous state. Many theoretical models based on reaction–diffusion have been proposed to account for patterning phenomena in morphogenesis2–4, but, as yet, there is no conclusive experimental evidence for the existence of such a system in the field of biology5–8. The marine angelfish, Pomacanthus has stripe patterns which are not fixed in their skin. Unlike mammal skin patterns, which simply enlarge proportionally during their body growth, the stripes of Pomacanthus maintain the spaces between the lines by the continuous rearrangement of the patterns. Although the pattern alteration varies depending on the conformation of the stripes, a simulation program based on a Turing system can correctly predict future patterns. The striking similarity between the actual and simulated pattern rearrangement strongly suggests that a reaction–diffusion wave is a viable mechanism for the stripe pattern of Pomacanthus.

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References

  1. 1

    Turing, A. M. Phil. Trans. R. Soc. B237, 37–72 (1952).

    Article  Google Scholar 

  2. 2

    Kauffman, S. A. in Pattern Formation (eds Malacinsky, G. M. & Bryant, S.) 73–102 (Macmillan, New York, 1984).

    Google Scholar 

  3. 3

    Meinhardt, H. Models of Biological Pattern Formation (Academic, London, 1982).

    Google Scholar 

  4. 4

    Murray, J. D. Scient. Am. 258, 80–87 (1988).

    Article  Google Scholar 

  5. 5

    Winfree, A. T. Nature 352, 568–569 (1991).

    Article  ADS  Google Scholar 

  6. 6

    Lengyel, I. & Epstein, I. R. Science 251, 650–652 (1991).

    CAS  Article  ADS  Google Scholar 

  7. 7

    Ouyang, Q. & Swinney, H. L. Nature 352, 610–612 (1991).

    Article  ADS  Google Scholar 

  8. 8

    Pool, R. Science 251, 627 (1991).

    CAS  Article  ADS  Google Scholar 

  9. 9

    Dawes, E. A. Quantitative Problems in Biology (Longman, London, 1956).

    Google Scholar 

  10. 10

    Bunning, E. & Sagromsky, H. Z. Naturf. B3, 203–216 (1948).

    Article  Google Scholar 

  11. 11

    Lacalli, T. C. Phil. Trans. R. Soc. B294, 547–588 (1981).

    Article  Google Scholar 

  12. 12

    Meinhardt, H. Rep. Progr. Phys. 55, 797–849 (1992).

    Article  ADS  Google Scholar 

  13. 13

    Segel, L. A. & Jackson, J. L. J. theor. Biol 37, 545–549 (1972).

    CAS  Article  Google Scholar 

  14. 14

    Wigglesworth, V. B. J. exp. Biol. 17, 180–200 (1940).

    Google Scholar 

  15. 15

    Meinhardt, H. Development (suppl.) 107, 169–180 (1989).

    PubMed  Google Scholar 

Download references

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Kondo, S., Asai, R. A reaction–diffusion wave on the skin of the marine angelfish Pomacanthus. Nature 376, 765–768 (1995). https://doi.org/10.1038/376765a0

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