Journal ArticleDOI
Symmetry Breaking Instabilities in Dissipative Systems. II
Ilya Prigogine,René Lefever +1 more
TLDR
The thermodynamic theory of symmetry breaking instabilities in dissipative systems is presented in this article, where several kinetic schemes which lead to an unstable behavior are indicated, and the role of diffusion is studied in more detailed way.Abstract:
The thermodynamic theory of symmetry breaking instabilities in dissipative systems is presented. Several kinetic schemes which lead to an unstable behavior are indicated. The role of diffusion is studied in a more detailed way. Moreover we devote some attention to the problem of occurrence of time order in dissipative systems. It is concluded that there exists now a firm theoretical basis for the understanding of chemical dissipative structures. It may therefore be stated that a theoretical basis also exists for the understanding of structural and functional order in chemical open systems.read more
Citations
More filters
Journal ArticleDOI
Sniffers, buzzers, toggles and blinkers: dynamics of regulatory and signaling pathways in the cell
TL;DR: This work has demonstrated that molecular regulatory networks can be accurately modeled in mathematical terms and shed light on the design principles of biological control systems and make predictions that have been verified experimentally.
Journal ArticleDOI
Pattern formation by local self-activation and lateral inhibition.
Hans Meinhardt,Alfred Gierer +1 more
TL;DR: By computer simulations, the theory accounts for much of the regulatory phenomena observed, including signalling to regenerate removed parts, and the resulting pattern is, to a large extent, independent of the details provided by initial conditions and inducing signals.
Journal ArticleDOI
Dissipative structure: an explanation and an ecological example.
Lee A. Segel,Julius L. Jackson +1 more
TL;DR: This study suggests that diffusive instabilities should also be sought in ecological interactions by presenting an example of their occurrence when cooperating prey interact with predators.
Journal ArticleDOI
Metabolic regulation and mathematical models
TL;DR: This chapter discusses different types of models and the methods of modeling, which are useful for the deduction of the essential relations in metabolism that constitute a characteristic dynamic structure.
References
More filters
Journal ArticleDOI
The Chemical Basis of Morphogenesis
TL;DR: In this article, it is suggested that a system of chemical substances, called morphogens, reacting together and diffusing through a tissue, is adequate to account for the main phenomena of morphogenesis.
Journal ArticleDOI
On symmetry-breaking instabilities in dissipative systems
Ilya Prigogine,Grégoire Nicolis +1 more
TL;DR: In this paper, the authors investigate the possibility of an instability in purely dissipative systems involving chemical reactions and transport processes such as diffusion, but no hydrodynamic motion, and demonstrate that for well defined values of the constraints such as the chemical affinities of the over-all reactions and the constants involved, such systems can indeed become unstable.