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Team:IPN-UNAM-Mexico/Modeling
From 2009.igem.org
Modelling
Introduction: Developing an Activator-Inhibitor network
First approach: Classical model with estimated diffusion constants
Second approach: Activator-Inhibitor dynamics on a single cell
Third approach: Spatial model
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
References
References
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