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Some analytical results about a simple reaction-diffusion system for morphogenesis.

F Rothe
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Abstract

The reaction-diffusion system considered involves only one nonlinear term and is a gradient system. In a bifurcation analysis for the equilibrium states, the global existence of infinitely many solution branches can be shown by the method of Ljusternik-Schnirelmann. Their stability is studied. Using a Ljapunov functional it can be shown that the solutions of the time-dependent system converge to the equilibrium states.

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Cell DifferentiationDiffusionMathematicsModels, BiologicalModels, ChemicalMorphogenesisTime FactorsJournal Article

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F Rothe. 1979-05-15. Some analytical results about a simple reaction-diffusion system for morphogenesis.. https://doi.org/10.1007/bf00275155

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