Team:IPN-UNAM-Mexico/Modeling/ThirdAp

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Month-icon.pngThird approach: Spatial model

Afterward we described as ordinary differential equations the time change of the concentrations of PAI and AI based on the kinetic law equations, being x PAI and y AI


Eq6.png


Here all the constants are sums or products of kinetic constants.


With this system of differential equations describing the kinetic basis of the reaction and diffusion we proceeded to make a qualitative analysis of its behavior as a 2x2 system of equations using [http://en.wikipedia.org/wiki/Grapher Grapher].


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From this analysis we can see simply by looking at its vectorial field that it behaves as the system:


Eq7.png


We wanted to check if this equations as chemical kinetics into a system of the reaction-diffusion dynamics can produce spatiotemporal patterns; to do this we made a simulation using [http://www.comsol.com/ ComsolMultipysics] as previously described


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