Pattern formation in spatially heterogeneous Turing reaction – diffusion models

  title={Pattern formation in spatially heterogeneous Turing reaction – diffusion models},
  author={Karen Page and Philip K. Maini and Nicholas A. M. Monk},
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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