Chemical Basis of Morphogenesis
Art | Parabolic | Patterns
This is the first page of Alan Turing’s The Chemical Basis of Morphogenesis paper undergoing pattern formation. The kinetics are exactly from the Schnakenberg example:
\[\begin{aligned}\pd{u}{t}&=\nabla^2 u+a-u+u^2v,\\ \pd{v}{t}&=D\nabla^2v+ b-u^2v,\end{aligned}\]but we have taken an initial condition from an image of the first page of Turing’s text.
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Load the interactive simulation.
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to see this evolve! You can pause the simulation and press to reset the text. -
Modifying different parameters (particularly $b$) can lead to qualitatively different solutions. Try $b=0.6$ for example. Try decreasing $b$ very slowly with the slider to see the pattern change.