Difference between revisions of "Team:Tokyo Tech/Project/Modeling2"
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| − | <h1>Calculation of the concentration of Chloramphenicol(未定)</h1> | + | <h1><font size="6px">Calculation of the concentration of Chloramphenicol(未定)</font></h1> |
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<h2 class="content2">contents</h2> | <h2 class="content2">contents</h2> | ||
<h3 class="link"><a href="#Introduction">1. Introduction</a></h3> | <h3 class="link"><a href="#Introduction">1. Introduction</a></h3> | ||
| − | <h3 class="link"><a href="#Equations"> | + | <h3 class="link"><a href="#Equations">2. Equations</a></h3> |
<h3 class="link"><a href="#Result">3. Result</a></h3> | <h3 class="link"><a href="#Result">3. Result</a></h3> | ||
<h3 class="link"><a href="#Reference">4. Reference</a></h3> | <h3 class="link"><a href="#Reference">4. Reference</a></h3> | ||
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<p class="text">Prisoner A and B have the different growth rate because prisoner A and B produce the different protein. <br>The difference of the growth rate causes the problem that the replicated payoff matrix is asymmetric. The graph shown in Fig.4-2-1-1. | <p class="text">Prisoner A and B have the different growth rate because prisoner A and B produce the different protein. <br>The difference of the growth rate causes the problem that the replicated payoff matrix is asymmetric. The graph shown in Fig.4-2-1-1. | ||
</p> | </p> | ||
| − | < | + | <div align="center"><img src="https://static.igem.org/mediawiki/2015/3/33/Tokyo_Tech_modeling2_4.png"><br><h4 align="center" class="fig">Fig.4-2-1-1. </h4></div> |
<p class="text">We tried to solve this problem in this way of experimenting the different concentration of Chloramphenicol in prisoner A and B. We calculated this optimized concentration of prisoner A and B by modeling.</p> | <p class="text">We tried to solve this problem in this way of experimenting the different concentration of Chloramphenicol in prisoner A and B. We calculated this optimized concentration of prisoner A and B by modeling.</p> | ||
<p></p> | <p></p> | ||
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<h2 id="Equations" class="smalltitle">2. Equations</h2> | <h2 id="Equations" class="smalltitle">2. Equations</h2> | ||
<p class="text">We constructed the following model for this modeling.<br>The equations for production of CmR from AHL are the following (1), (2)</p> | <p class="text">We constructed the following model for this modeling.<br>The equations for production of CmR from AHL are the following (1), (2)</p> | ||
| − | <p> | + | <p align="center"><img src="https://static.igem.org/mediawiki/2015/1/1e/Tokyo_Tech_modeling2_1.PNG"></p> |
<p class="text">Then, the equation for the leakage of CmR is the following (3).</p> | <p class="text">Then, the equation for the leakage of CmR is the following (3).</p> | ||
| − | <p> | + | <p align="center"><img src="https://static.igem.org/mediawiki/2015/4/48/Tokyo_Tech_modeling2_2_.PNG"></p> |
<p class="text">The equations for optical density of prisoner A and B in four damages are the following (4) ～ (11).</p> | <p class="text">The equations for optical density of prisoner A and B in four damages are the following (4) ～ (11).</p> | ||
| − | <p> | + | <p align="center"><img src="https://static.igem.org/mediawiki/2015/0/04/Tokyo_Tech_modeling2_3.PNG"></p> |
<p></p> | <p></p> | ||
<p class="text">We determined the concentration of Chloramphenicol for prisoner A as the error of optical density of prisoner A and B in 4 damages after 8 hours fallen in±10% in this case the concentration of Chloramphenicol for prisoner B is 75µg/mL.</p> | <p class="text">We determined the concentration of Chloramphenicol for prisoner A as the error of optical density of prisoner A and B in 4 damages after 8 hours fallen in±10% in this case the concentration of Chloramphenicol for prisoner B is 75µg/mL.</p> | ||
| − | <h2 id=" | + | <h2 id="Result" class="smalltitle">3. Result</h2> |
| − | + | <p class="text">In the case that the concentration of Chloramphenicol for prisoner A is 65µg/mL, the maximum absolute value of error of optical density of prisoner A and B in 4 damages is 8.1%. It can meet the conditions described in <a href="#Equations">2</a>.</p> | |
<p></p> | <p></p> | ||
<p class="text"> | <p class="text"> | ||
We showed the graph of optical density after 8 hours to Fig.4-2-3-1.</p> | We showed the graph of optical density after 8 hours to Fig.4-2-3-1.</p> | ||
| − | < | + | <div align="center"><img src="https://static.igem.org/mediawiki/2015/6/66/Tokyo_Tech_modeling2_5.png"><br><h4 align="center" class="fig">Fig.4-2-3-1. </h4></div> |
<h2 id="Reference" class="smalltitle">6. Reference</h2> | <h2 id="Reference" class="smalltitle">6. Reference</h2> | ||
Latest revision as of 02:44, 15 September 2015
Calculation of the concentration of Chloramphenicol(未定)
1. Introduction
Prisoner A and B have the different growth rate because prisoner A and B produce the different protein.
The difference of the growth rate causes the problem that the replicated payoff matrix is asymmetric. The graph shown in Fig.4-2-1-1.
Fig.4-2-1-1.
We tried to solve this problem in this way of experimenting the different concentration of Chloramphenicol in prisoner A and B. We calculated this optimized concentration of prisoner A and B by modeling.
2. Equations
We constructed the following model for this modeling.
The equations for production of CmR from AHL are the following (1), (2)
Then, the equation for the leakage of CmR is the following (3).
The equations for optical density of prisoner A and B in four damages are the following (4) ～ (11).
We determined the concentration of Chloramphenicol for prisoner A as the error of optical density of prisoner A and B in 4 damages after 8 hours fallen in±10% in this case the concentration of Chloramphenicol for prisoner B is 75µg/mL.
3. Result
In the case that the concentration of Chloramphenicol for prisoner A is 65µg/mL, the maximum absolute value of error of optical density of prisoner A and B in 4 damages is 8.1%. It can meet the conditions described in 2.
We showed the graph of optical density after 8 hours to Fig.4-2-3-1.
Fig.4-2-3-1.
6. Reference
ここにコピペ。