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Team:Osaka/Modeling
From 2013.igem.org
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<img src="https://static.igem.org/mediawiki/2013/4/42/Mode-top2.png" style="position:absolute; width:600px; top:200px; left:50%; margin-left:-300px; z-index:30000;"> | <img src="https://static.igem.org/mediawiki/2013/4/42/Mode-top2.png" style="position:absolute; width:600px; top:200px; left:50%; margin-left:-300px; z-index:30000;"> | ||
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<p id="iwakiri">iGEM Osaka Theory Group have made mathematical models to understand how colony patterns look like.</p> | <p id="iwakiri">iGEM Osaka Theory Group have made mathematical models to understand how colony patterns look like.</p> | ||
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<p id="iwakiri">for example , a fractal pattern and cross-like pattern.</p> | <p id="iwakiri">for example , a fractal pattern and cross-like pattern.</p> | ||
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<img src="https://static.igem.org/mediawiki/2013/0/0d/Siki.jpg" style="position:absolute; width:600px; top:200px; left:50%; margin-left:-300px; z-index:30000;"> | <img src="https://static.igem.org/mediawiki/2013/0/0d/Siki.jpg" style="position:absolute; width:600px; top:200px; left:50%; margin-left:-300px; z-index:30000;"> | ||
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Revision as of 13:21, 27 September 2013
iGEM Osaka Theory Group have made mathematical models to understand how colony patterns look like.
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.
