Ads
related to: reaction diffusion system
Search results
Results From The WOW.Com Content Network
A reaction–diffusion system can be solved by using methods of numerical mathematics. There exist several numerical treatments in research literature. [43] [20] [44] Numerical solution methods for complex geometries are also proposed.
The parameters depend on the physical system under consideration. In the context of fish skin pigmentation, the associated equation is a three field reaction–diffusion one in which the linear parameters are associated with pigmentation cell concentration and the diffusion parameters are not the same for all fields. [9]
The theory, which can be called a reaction–diffusion theory of morphogenesis, has become a basic model in theoretical biology. [2] Such patterns have come to be known as Turing patterns. For example, it has been postulated that the protein VEGFC can form Turing patterns to govern the formation of lymphatic vessels in the zebrafish embryo. [3]
A chemical computer, also called a reaction-diffusion computer, Belousov–Zhabotinsky (BZ) computer, or gooware computer, is an unconventional computer based on a semi-solid chemical "soup" where data are represented by varying concentrations of chemicals. [1] The computations are performed by naturally occurring chemical reactions.
Theoretically, the reaction resembles the ideal Turing pattern, a system that emerges qualitatively from solving the reaction diffusion equations for a reaction that generates both a reaction inhibitor and a reaction promoter, of which the two diffuse across the medium at different rates. [15]
Simulation of the Brusselator as reaction diffusion system in two spatial dimensions Simulation [1] of the reaction-diffusion system of the Brusselator with reflective border conditions. The Brusselator is a theoretical model for a type of autocatalytic reaction.
Reaction–diffusion systems, used for chemical systems, gas-discharges and semiconductors. [43] The evolution of the state vector q(x, t) describing the concentration of the different reactants is determined by diffusion as well as local reactions:
Hantz reactions are a class of pattern-forming precipitation reactions in gels implementing a reaction–diffusion system.The precipitation patterns are forming as a reaction of two electrolytes: a highly concentrated "outer" one diffuses into a hydrogel, while the "inner" one is dissolved in the gel itself.