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Turing patterns on a sphere

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN: 1063-651X, Vol: 60, Issue: 4, Page: 4588-4592
1999
  • 129
    Citations
  • 0
    Usage
  • 64
    Captures
  • 5
    Mentions
  • 1
    Social Media
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Metrics Details

  • Citations
    129
  • Captures
    64
  • Mentions
    5
    • References
      5
      • Wikipedia
        5
  • Social Media
    1
    • Shares, Likes & Comments
      1
      • Facebook
        1

Article Description

We address the problem of pattern formation on the surface of a sphere using Turing equations. By considering a generic reaction-diffusion model, we numerically investigate the patterns formed under different conditions on the parameter values. Our results show that a closed surface with curvature, as a sphere, imposes geometrical restrictions on the shape of the pattern. This is important in some biological systems where curvature plays an important role in guiding chemical, biochemical, and embryological processes. © 1999 The American Physical Society.

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