The Gray-Scott Reaction Diffusion Model displays the spatial concentration of chemical species U and V under the influence of the reaction U+2V->3V and V->P. The simulation models this reaction in an open system with a constant addition of U and removal of V due to a flow rate f and with the removal of V by the reaction V->P with reaction rate k. Combining this autocatalytic process with diffusion results in pattern formation that depends on the f and k rates and on the U and V diffusivities Du and Dv. This reaction diffusion system has a surprising variety of spatiotemporal patterns when starting in the initial state U=1 and V=0 except for a square grid at the center where U=1/2 and V=1/4.
The Gray-Scott Reaction Diffusion Model was developed using the Easy Java Simulations (EJS) modeling tool. It is distributed as a ready-to-run (compiled) Java archive. Double clicking the jar file will run the program if Java is installed. You can modify this simulation if you have EJS installed by right-clicking within the map and selecting "Open Ejs Model" from the pop-up menu item.
Please note that this resource requires
at least version 1.6 of
Gray Scott Reaction Diffusion Source Code
The source code zip archive contains an EJS-XML representation of the Gray Scott Reaction Diffusion Model. Unzip this archive in your EJS workspace to compile and run this model using EJS. download 44kb .zip
Last Modified: May 26, 2012
%0 Computer Program %A Christian, Wolfgang %D May 26, 2012 %T Gray Scott Reaction Diffusion Model %8 May 26, 2012 %U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12017&DocID=2872
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