Models for cell differentiation and generation of polarity in diffusion- governed morphogenetic fields

DOI10.1007/BF02459528zbMath0317.92016OpenAlexW4242317506WikidataQ52864519 ScholiaQ52864519MaRDI QIDQ1222108

A. Babloyantz, Jacques Hiernaux

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1007/bf02459528

Mathematics Subject Classification ID

General biology and biomathematics (92B05) Stability of control systems (93D99)

Related Items (17)

Formation and deformation of patterns through diffusion ⋮ Effect of preassigned gradient on pattern formation and morphogenesis during embryogenesis ⋮ A cascading development model for amphibian embryos ⋮ A simple system of reaction-diffusion equations describing morphogenesis: Asymptotic behavior ⋮ Transition from polar to duplicate patterns ⋮ Morphogen pattern formation and development in growth ⋮ A bifurcation analysis of pattern formation in a diffusion governed morphogenetic field ⋮ A mathematical model for pattern formation in biological systems ⋮ Nonlinear reaction-diffusion models for interacting populations ⋮ Analytical treatment of pattern formation in the Gierer-Meinhardt model of morphogenesis ⋮ Turing's theory in morphogenesis ⋮ Pattern formation in a delay equation with diffusion ⋮ On modelling pattern formation by activator-inhibitor systems ⋮ Mathematical analysis of an activation-inhibition system in a discrete field ⋮ Activation-inhibition model for branching of a filamentous organism ⋮ Apparition de motifs géométriques dans une membrane enzymatique ⋮ Pattern formation and morphogenesis: A reaction-diffusion model

Cites Work

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• Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions
• Topics in stability and bifurcation theory
• Dissipative Structures, Catastrophes, and Pattern Formation: A Bifurcation Analysis
• The chemical basis of morphogenesis

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