Spontaneous pattern formation in spherical nonlinear reaction–diffusion systems: Selection rules favor the bipolar ‘‘mitosis’’ pattern
- 1 July 1981
- journal article
- letter
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 75 (1) , 486-488
- https://doi.org/10.1063/1.441844
Abstract
It is shown analytically, by means of bifuration theory, that the bipolar mitosis prepattern may arise directly from the homogeneous state.(AIP)Keywords
This publication has 9 references indexed in Scilit:
- A field description of the cleavage process in embryogenesisJournal of Theoretical Biology, 1980
- Dissipative structures in reaction–diffusion systems: Numerical determination of bifurcations in the sphereThe Journal of Chemical Physics, 1980
- Secondary bifurcations in spherical reaction-diffusion systemsChemical Physics, 1980
- Bifurcation analysis of nonlinear reaction–diffusion systems: Dissipative structures in a sphereThe Journal of Chemical Physics, 1978
- Spatial structures in dissipative systemsThe Journal of Chemical Physics, 1974
- Iterations, perturbations and multiplicities for nonlinear bifurcation problemsArchive for Rational Mechanics and Analysis, 1972
- Self‐Oscillations in Glycolysis 1. A Simple Kinetic ModelEuropean Journal of Biochemistry, 1968
- Symmetry Breaking Instabilities in Dissipative Systems. IIThe Journal of Chemical Physics, 1968
- The chemical basis of morphogenesisPhilosophical Transactions of the Royal Society of London. B, Biological Sciences, 1952