Bifurcations of nonlinear reaction-diffusion systems in prolate spheroids

DOI10.1007/BF00305761zbMath0506.92001OpenAlexW4238221934WikidataQ113908889 ScholiaQ113908889MaRDI QIDQ1837122

Axel Hunding

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf00305761

zbMATH Keywords

pattern formationreaction-diffusion systemscytokinesismorphogenesismitosisprolate spheroidsprepatterns

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Stability in context of PDEs (35B35) Applications to the sciences (65Z05) Bifurcations in context of PDEs (35B32) General biology and biomathematics (92B05)

Related Items

Aspects of growth and form, Effect of preassigned gradient on pattern formation and morphogenesis during embryogenesis, Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development, A numerical study of the formation of spatial patterns in twospotted spider mites, Bifurcations of nonlinear reaction-diffusion systems in oblate spheroids, Simulation of waves in calcium models with 3D spherical geometry

Uses Software

• zeroin

Cites Work

• Synergetics. An introduction. Nonequilibrium phase transitions and self- organization in physics, chemistry and biology. 2nd enl. ed
• Two Efficient Algorithms with Guaranteed Convergence for Finding a Zero of a Function
• The chemical basis of morphogenesis
• Eigenvalues and Eigenfunctions of the Spheroidal Wave Equation
• On Spheroidal Wave Functions of Order Zero
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item