Computer simulation of Turing structures in the chlorite-iodide-malonic acid system
- 1 February 1996
- journal article
- Published by IOP Publishing in Physica Scripta
- Vol. 53 (2) , 243-251
- https://doi.org/10.1088/0031-8949/53/2/014
Abstract
The emergence, growth and stabilization of stationary concentration patterns in a continuously fed chemical reaction-diffusion system are studied through numerical simulation of the Lengyel-Epstein model. This model represents a key to understanding the recently obtained Turing structures in the chlorite-iodide-malonic acid system. Using the supply of iodine as a control parameter, the regularity of the hexagonal patterns that develop from the noise inflicted homogeneous steady state is examined. In the region where they are both stable, the competition between Hopf oscillations and Turing stripes is studied by following the propagation of a front connecting the two modes. Finally, examples are given for the types of structures that can develop when a gradient in feed concentration is applied to the system.Keywords
This publication has 33 references indexed in Scilit:
- Mathematical BiologyPublished by Springer Nature ,1989
- Chemical WavesScience, 1988
- Sustained chemical waves in an annular gel reactor: a chemical pinwheelNature, 1987
- Hydrodynamic Instabilities and the Transition to TurbulencePublished by Springer Nature ,1985
- Positional information and pattern formationPhilosophical Transactions of the Royal Society of London. B, Biological Sciences, 1981
- On pattern formation mechanisms for lepidopteran wing patterns and mammalian coat markingsPhilosophical Transactions of the Royal Society of London. B, Biological Sciences, 1981
- Fluctuations near nonequilibrium phase transitions to nonuniform statesPhysical Review A, 1980
- Spiral Waves of Chemical ActivityScience, 1972
- Positional information and the spatial pattern of cellular differentiationJournal of Theoretical Biology, 1969
- On Symmetry-Breaking Instabilities in Dissipative SystemsThe Journal of Chemical Physics, 1967