Pattern formation in spatially heterogeneous Turing reaction – diffusion models

@inproceedings{Page2003PatternFI,
  title={Pattern formation in spatially heterogeneous Turing reaction – diffusion models},
  author={Karen Page and Philip K. Maini and Nicholas A. M. Monk},
  year={2003}
}
The Turing reaction–diffusion model [Phil. Trans. R. Soc. 237 (1952) 37–72] for self-organised spatial pattern formation has been the subject of a great deal of study for the case of spatially homogeneous parameters. The case of parameters which vary spatially has received less attention. Here, we show that a simple step function heterogeneity in a kinetic parameter can lead to spatial pattern formation outside the classical Turing space parameter regime for patterning. This reduces the… CONTINUE READING
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References

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Morphogens

  • J.-P. Vincent, J. Briscoe
  • Curr. Biol. 11
  • 2001
1 Excerpt

Fringe

  • K. D. Irvine
  • Notch, and making developmental boundaries, Curr…
  • 1999
3 Excerpts

Mathematical models in embryology: the selection

  • K. M. Page
  • regulation and speed of formation of patterns, D…
  • 1999
1 Excerpt

Boundary-driven instability

  • P. K. Maini, M. R. Myerscough
  • Appl. Math. Lett. 10
  • 1997
1 Excerpt

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