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Wavelength selection mechanism in the Gierer-Meinhardt model

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Publication:1114613
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DOI10.1007/BF02458442zbMath0662.92004OpenAlexW4252044672MaRDI QIDQ1114613

Ekkehard Mueller, Kazuaki Tarumi

Publication date: 1989

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02458442


zbMATH Keywords

activator-inhibitor modellarge systemspattern selectionactivator-substrate modelGierer-Meinhardt modelsmarginal stability hypothesispattern-generating mechanismsreaction-diffusion schemes


Mathematics Subject Classification ID

Biophysics (92C05) General biology and biomathematics (92B05)


Related Items

Asymptotic analysis of a chemotactic model of bacteria colonies ⋮ Pattern formation in spatially heterogeneous Turing reaction-diffusion models ⋮ Analysis of propagating pattern in a chemotaxis system



Cites Work

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  • Pattern sensitivity to boundary and initial conditions in reaction- diffusion models
  • Pattern propagation in nonlinear dissipative systems
  • Pattern formation in morphogenesis. Analytical treatment of the Gierer- Meinhardt model on a sphere
  • A nonlinear treatment of the protocell model by a boundary layer approximation
  • The chemical basis of morphogenesis
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