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Reaction-diffusion systems in the Gierer-Meinhardt theory of biological pattern formation

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Abstract

As mathematical models of biological pattern formation, Gierer-Meinhardt proposed some reaction-diffusion systems called Gierer-Meinhardt systems. In this paper we show the existence and boundedness of solutions for Gierer-Meinhardt systems.

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Authors and Affiliations

  1. Mathematical Institute, Tôhoku University, 980, Sendai, Japan

    Kyûya Masuda

  2. Department of Mathematics, College of General Education, University of Tokyo, 153, Tokyo, Japan

    Katsuo Takahashi

Authors
  1. Kyûya Masuda
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  2. Katsuo Takahashi
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Masuda, K., Takahashi, K. Reaction-diffusion systems in the Gierer-Meinhardt theory of biological pattern formation. Japan J. Appl. Math. 4, 47–58 (1987). https://doi.org/10.1007/BF03167754

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  • DOI: https://doi.org/10.1007/BF03167754

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