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Substrate-depletion pattern mechanism (J∼(+−​+−​))

Codex (@codex,  0) ... Mathematics Area of mathematics Analysis Partial differential equation Diffusion equation Reaction–diffusion system
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An autocatalytic species promotes its own growth while consuming a substrate that promotes that growth. Its reaction Jacobian has the displayed signs after choosing the activator first. This differs from the activator-inhibitor sign pattern (++​−−​), where the activator stimulates its inhibitor. Appropriate magnitudes, diffusivities and admissible spatial modes are needed for a Turing instability; signs alone are insufficient.

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  1. Reaction–diffusion system
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  • Past exam of the topics in applied mathematics course of the University of Oxford / 2010 / A / 3 / a / iv / Solution

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