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Team:Kyoto/GSDD/Modelling
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==Numerical calculation== | ==Numerical calculation== | ||
We run below program in mathematica for four cases, and plot each result. | We run below program in mathematica for four cases, and plot each result. | ||
| + | [[Image:source.png|740px|center|Fig.?]] | ||
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==Result== | ==Result== | ||
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グラフ | グラフ | ||
軸の説明 | 軸の説明 | ||
| + | [[Image:500.png|740px|center|Fig.1]] | ||
| + | [[Image:800.png|740px|center|Fig.1]] | ||
| + | [[Image:1000.png|740px|center|Fig.1]] | ||
| + | [[Image:1200.png|740px|center|Fig.1]] | ||
==Discussion== | ==Discussion== | ||
Revision as of 21:08, 21 October 2009
Modeling
Recently, many biologists try to grasp biological systems behavior with computational and mathematical approach. But, when we make a model, in its process, we are apt to lose our sight about what kind things we want to grasp with those approach. So this time firstly we set our position to be clear.
Problem
We considered the accuracy of Timer vector. It is supposed that when the length of repetitive sequence is short, the length of DNA cut off in each replication varies from cell to cell, and as a result, the fluctuation affects on the dynamics of the population, and the accuracy of our timer is reduced. We wondered if we make repetitive sequence of lacI binding site longer, the fluctuation among population is reduced and the accuracy increase. To confirm this, we simulated the time development of cell population.
Assumption
We assume following conditions.
- The length decreased in each DNA replication varies from 15 to 185 bps with uniform randomness.
- Each cell division is synchronized with all other cell’s division.
- There is no cell to cell interaction and the life duration only depends on the behavior of Timer vector.
- Each cell’s division is synchronized with other cell’s division.
Numerical calculation
We run below program in mathematica for four cases, and plot each result.
Result
グラフ 軸の説明
Discussion
As the result shows, by making repetitive sequences longer, the fluctuation becomes smaller and the time-developing behavior of cell population is averaged. Then we concluded our assumption is certain.
