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Team:Osaka/Modeling
From 2013.igem.org
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<h class="iwakiri2">iGEM Osaka Theory Group have made mathematical models to understand how colony patterns look like.</h> | <h class="iwakiri2">iGEM Osaka Theory Group have made mathematical models to understand how colony patterns look like.</h> | ||
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<p class="iwakiri">Syuichi Iwakiri built differential equations to describe the movement of E.coli and nutrition.</p> | <p class="iwakiri">Syuichi Iwakiri built differential equations to describe the movement of E.coli and nutrition.</p> | ||
<p class="iwakiri">And Hiroki Nishiyama did simulations of the equations.</p> | <p class="iwakiri">And Hiroki Nishiyama did simulations of the equations.</p> | ||
Revision as of 01:42, 28 September 2013
Syuichi Iwakiri built differential equations to describe the movement of E.coli and nutrition.
And Hiroki Nishiyama did simulations of the equations.
In the equation on the picture , A means the number of type A-Ecoli , B means the number of type B-Ecoli ,
and N means the concentration of nutrition.
The first partial differential equation of A has 3 factors.
The first one is the diffusion of A , the second one is the growth of A ,
and the third one is the transition from A to B. The transition happens only when N he second partial differential equation of B has 2 factors. The first one is the diffusion of B , and the second one is the transition from A to B. The third partial differential equation of N has 3 factors. The first one is the diffusion of N , and the second one is the consume by A , the third one is the virtual consume by B (b is the consume rate and c is the produce rate). The Theory Group have discovered a unique patterns , for example , a fractal pattern and cross-like pattern. We show several patterns that we got from the simulations below. The gif files show how the number of A type bacterias(Z-axia) develop in 2D area(X-Y plate).
