Team:Osaka/Modeling

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 is smaller than No.

The 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-axis) develop in 2D area(X-Y plate).