"
Team:IPN-UNAM-Mexico/Modeling/ThirdAp
From 2009.igem.org
(New page: {{Template:IPN-UNAM-Mexico}} == 50pxThird approach: Spatial model == Afterward we described as ordinary differential equations the time change of the concentra...) |
m (→50pxThird approach: Spatial model) |
||
| Line 15: | Line 15: | ||
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]. | 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]. | ||
| + | |||
| + | [[Image:Eq2x2.png|400px|center]] | ||
[[Image:Img05.png|700px|center]] | [[Image:Img05.png|700px|center]] | ||
Revision as of 23:31, 21 October 2009
Third 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
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].
From this analysis we can see simply by looking at its vectorial field that it behaves as the system:
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
