Team:Tokyo Tech/Modeling/Overview

From 2014.igem.org

(Difference between revisions)
 
(32 intermediate revisions not shown)
Line 26: Line 26:
        <li><a href="https://2014.igem.org/Team:Tokyo_Tech/Experiment/C4HSL-dependent_3OC12HSL_production" style="width:400px; margin-left:-135px;">C4HSL-dependent 3OC12HSL production</a></li>
        <li><a href="https://2014.igem.org/Team:Tokyo_Tech/Experiment/C4HSL-dependent_3OC12HSL_production" style="width:400px; margin-left:-135px;">C4HSL-dependent 3OC12HSL production</a></li>
        <li><a href="https://2014.igem.org/Team:Tokyo_Tech/Experiment/3OC12HSL-dependent_C4HSL_production" style="width:400px; margin-left:-135px;">3OC12HSL-dependent C4HSL production</a></li>
        <li><a href="https://2014.igem.org/Team:Tokyo_Tech/Experiment/3OC12HSL-dependent_C4HSL_production" style="width:400px; margin-left:-135px;">3OC12HSL-dependent C4HSL production</a></li>
-
        <li><a href="https://2014.igem.org/Team:Tokyo_Tech/Experiment/Symbiosis_confirmation_by_co-culture" style="width:400px; margin-left:-135px;">Symbiosis confirmation by co-culture </a></li>
+
        <li><a href="https://2014.igem.org/Team:Tokyo_Tech/Experiment/Symbiosis_confirmation_by_co-culture" style="width:400px; margin-left:-135px;">Mutualism Confirmation ~Co-culture Assay~</a></li>
 
 
  </ul>
  </ul>
Line 83: Line 83:
                 <tr>
                 <tr>
                    
                    
-
                     <td><p class="info-24"><a href="#1">1. Mathematical model</a></p>
+
                     <td><p class="info-24"><a href="#1">1. Mathematical Model</a></p>
                         <p class="info-18"><a href="#1.1">1.1 Introduction</a></p>
                         <p class="info-18"><a href="#1.1">1.1 Introduction</a></p>
-
                         <p class="info-18"><a href="#1.2">1.2 Cell population</a></p>
+
                         <p class="info-18"><a href="#1.2">1.2 Cell Population</a></p>
-
                         <p class="info-18"><a href="#1.3">1.3 Signaling molecules</a></p>
+
                         <p class="info-18"><a href="#1.3">1.3 Signaling Molecules</a></p>
                         <p class="info-18"><a href="#1.4">1.4 Bank</a></p>
                         <p class="info-18"><a href="#1.4">1.4 Bank</a></p>
                         <p class="info-18"><a href="#1.5">1.5 Company</a></p>
                         <p class="info-18"><a href="#1.5">1.5 Company</a></p>
Line 93: Line 93:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><p class="info-24"><a href="#2">2. Story simulation details</a></p>
+
                   <td><p class="info-24"><a href="#2">2. Story Simulation Details</a></p>
-
                       <p class="info-18"><a href="#2.1">2.1 Company and Customer co-culture simulation</a></p>
+
                       <p class="info-18"><a href="#2.1">2.1 Company and Customer Co-culture Simulation</a></p>
                       <p class="info-18"><a href="#2.2">2.2 Introduction of Bank</a></p>
                       <p class="info-18"><a href="#2.2">2.2 Introduction of Bank</a></p>
-
                       <p class="info-18"><a href="#2.3">2.3 Economic wave</a></p>
+
                       <p class="info-18"><a href="#2.3">2.3 Economic Wave</a></p>
                   </td>
                   </td>
                 </tr>
                 </tr>
Line 112: Line 112:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><h2>1. Mathematical model</h2></td>
+
                   <td><h2>1. Mathematical Model</h2></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 126: Line 126:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Fig4-1-1-1-1.png"><img src="https://static.igem.org/mediawiki/2014/f/fa/Tokyo_Tech_Fig4-1-1-1-1.png" width="333" height="222" /></a></div></td>
+
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Fig4-1-1-1-1.png"><img src="https://static.igem.org/mediawiki/2014/f/fa/Tokyo_Tech_Fig4-1-1-1-1.png" width="450" /></a></div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><strong>Fig. 4-1-1-1-1. </strong>Genetic circuit design</div></td>
+
                   <td><div align="center"><strong>Fig. 4-1-1-1. </strong>Genetic Circuit Design</div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 138: Line 138:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><strong>Fig. 4-1-1-1-2.</strong> Corresponding mathematical model</div></td>
+
                   <td><div align="center"><strong>Fig. 4-1-1-2.</strong> Corresponding Mathematical Model</div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 147: Line 147:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><h3 class="head">・Table 4-1-1-1-1 Meaning of parameters</h3></td>
+
                   <td><h3 class="head">・Table 4-1-1-1 Meaning of parameters</h3></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 165: Line 165:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><h1>1.2 Cell population</h1></td>
+
                   <td><h1>1.2 Cell Population</h1></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 174: Line 174:
                     <blockquote>
                     <blockquote>
                       <blockquote>
                       <blockquote>
-
                         <div align="center"><strong>Fig. 4-1-1-2-1.</strong> Equations for cell population                      </div>
+
                         <div align="center"><strong>Fig. 4-1-1-3.</strong> Equations for cell population                      </div>
                       </blockquote>
                       </blockquote>
                     </blockquote>
                     </blockquote>
Line 183: Line 183:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><p class="info-18">The equations above describe how cells grow in the culture. Equation (1), (2), (3) describe populations of Bank, Company, and Customer for each of them. All first terms of the equations are considered carrying capacity. Second terms of (2) and (3) describe the effect of chloramphenicol and chloramphenicol resistance gene. Note that in second terms <a href="https://2014.igem.org/File:Tokyo_Tech_Cm.png"><img width="114" height="19" src="https://static.igem.org/mediawiki/2014/c/c9/Tokyo_Tech_Cm.png" alt="说明: Macintosh HD:Users:takuya:Documents:iGEM:projectBank:wiki_modeling:equations:equationsForBank1005chlorampheicol.jpg" /></a> are set to 0 once the value becomes minus.</p></td>
+
                   <td><p class="info-18">The equations above describe how cells grow in the culture. Equation (1), (2), (3) describe the populations of Bank, Company, and Customer . All first terms of the equations are considered carrying capacity. Second terms of (2) and (3) describe the effect of chloramphenicol and chloramphenicol resistance gene. Note that in second terms <a href="https://2014.igem.org/File:Tokyo_Tech_Cm.png"><img width="114" height="19" src="https://static.igem.org/mediawiki/2014/c/c9/Tokyo_Tech_Cm.png" alt="说明: Macintosh HD:Users:takuya:Documents:iGEM:projectBank:wiki_modeling:equations:equationsForBank1005chlorampheicol.jpg" /></a> are set to 0 once the value becomes minus.</p></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 189: Line 189:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><h1>1.3 Signaling molecules</h1></td>
+
                   <td><h1>1.3 Signaling Molecules</h1></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 198: Line 198:
                     <blockquote>
                     <blockquote>
                       <blockquote>  
                       <blockquote>  
-
                         <div align="center"><strong> Fig. 4-1-1-3-1. </strong>Equations for signaling molecules                      </div>
+
                         <div align="center"><strong> Fig. 4-1-1-4. </strong>Equations for signaling molecules                      </div>
                       </blockquote>
                       </blockquote>
                     </blockquote>
                     </blockquote>
Line 207: Line 207:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><p class="info-18">These equations describe concentrations of C4HSL and 3OC12HSL.<br />
+
                   <td><p class="info-18">These equations describe the concentrations of C4HSL and 3OC12HSL.<br />
-
                   First and Second terms of (4) describe production of C4HSL from RhlI in Bank and Customers cells. Third term is meant for decomposition of C4HSL by AiiA in Bank cell. Fourth term is for degradation of C4HSL.</p>
+
                   First and Second terms of (4) describe the  production of C4HSL from RhlI in Bank and Customers cells. Third term is meant for the decomposition of C4HSL by AiiA in Bank cell. Fourth term is for the degradation of C4HSL.</p>
-
                   <p class="info-18">Same goes on for 3OC12HSL. First term describes the production of 3OC12HSL from LasI in Company. Second term is for decomposition of 3OC12HSL by AiiA in Bank cell. Third term is for degradation of 3OC12HSL.</p></td>
+
                   <p class="info-18">Same goes on for 3OC12HSL. First term describes the production of 3OC12HSL from LasI in Company. Second term is for the decomposition of 3OC12HSL by AiiA in Bank cell. Third term is for the degradation of 3OC12HSL.</p></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 221: Line 221:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><strong>Fig. 4-1-1-4-1.</strong> Equations for Bank</div></td>
+
                   <td><div align="center"><strong>Fig. 4-1-1-5.</strong> Equations for Bank</div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 227: Line 227:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td class="info-18"><p class="info-18">Bank has two states changing during the cultivation. (6) and (7) describe Distribution state. LacI represses the translation of TetR as described in first term of (8). RhlI will distribute C4HSL which represents money. On the other hand, (8) and (9) describe Collection state. TetR represses LacI. AiiA decomposes C4HSL. </p>
+
                   <td class="info-18"><p class="info-18">Bank switches to two states during the cultivation. (6) and (7) describe the Distribution state. LacI represses the translation of TetR as described in first term of (8). RhlI will distribute C4HSL which represents money. On the other hand, (8) and (9) describe the Collection state. TetR represses LacI. AiiA decomposes C4HSL. </p>
                   <p class="info-18">In order to achieve the state switching depend on the concentration of C4HSL, TetR and AiiA are regulated not only by LacI, but also by C4HSL. This makes the system be able to switch depends on the concentration of C4HSL.</p></td>
                   <p class="info-18">In order to achieve the state switching depend on the concentration of C4HSL, TetR and AiiA are regulated not only by LacI, but also by C4HSL. This makes the system be able to switch depends on the concentration of C4HSL.</p></td>
                 </tr>
                 </tr>
Line 237: Line 237:
                 </tr></table><table width="900" border="0">
                 </tr></table><table width="900" border="0">
                 <tr>
                 <tr>
-
                   <td width="890"><p align="center" class="info-18"><a href="https://2014.igem.org/File:Tokyo_Tech_Fig4-1-1-5-1.png"><img src="https://static.igem.org/mediawiki/2014/d/d3/Tokyo_Tech_Fig4-1-1-5-1.png" width="500" height="104" /></a></p></td>
+
                   <td width="890"><p align="center" class="info-18"><a href="https://2014.igem.org/File:Tokyo_Tech_Fig4-1-1-61.png"><img src="https://static.igem.org/mediawiki/2014/3/3b/Tokyo_Tech_Fig4-1-1-61.png" width="500" height="104" /></a></p></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><strong>Fig. 4-1-1-5-1.</strong> Equations for Company</div></td>
+
                   <td><div align="center"><strong>Fig. 4-1-1-6.</strong> Equations for Company</div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 255: Line 255:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><p align="center" class="info-18"><a href="https://2014.igem.org/File:Tokyo_Tech_Fig4-1-1-6-1.png"><img src="https://static.igem.org/mediawiki/2014/1/17/Tokyo_Tech_Fig4-1-1-6-1.png" width="500" height="103" /></a></p></td>
+
                   <td><p align="center" class="info-18"><a href="https://2014.igem.org/File:Tokyo_Tech_Fig4-1-1-6-1.png"><img src="https://static.igem.org/mediawiki/2014/1/17/Tokyo_Tech_Fig4-1-1-6-1.png" width="500" /></a></p></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><strong>Fig. 4-1-1-6-1.</strong> Equations for Customer</div></td>
+
                   <td><div align="center"><strong>Fig. 4-1-1-7.</strong> Equations for Customer</div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 270: Line 270:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><h2>2. Story simulation details</h2></td>
+
                   <td><h2>2. Story Stimulation details</h2></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 279: Line 279:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td class="info-18"><p class="info-18">The system which includes only Company and Customer was simulated before our experiments. From the analysis we performed, we noticed that strength levels of Prhl and Plux promoters should be equally strong as shown in Fig. 4-1-2-1-1.(Detail analysis is shown in other modeling page.)</p></td>
+
                   <td class="info-18"><p class="info-18">The system which includes only Company and Customer was simulated before our experiments. From the analysis we performed, we noticed that strength levels of Prhl and Plux promoters should be equally strong as shown in Fig. 4-1-2-1.(Detailed analysis is shown in another modeling page.)</p></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Fig4-1-2-1-2.png"><img src="https://static.igem.org/mediawiki/2014/7/78/Tokyo_Tech_Fig4-1-2-1-2.png" width="300" height="276" /></a></div></td>
+
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Fig4-1-2-2.png"><img src="https://static.igem.org/mediawiki/2014/6/61/Tokyo_Tech_Fig4-1-2-2.png" width="400" /></a></div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><strong>Fig. 4-1-2-1-1.</strong> Company and Customer growth dependency of Prhl and Plux promoters strength levels</div></td>
+
                   <td><div align="center"><strong>Fig. 4-1-2-1.</strong> Company and Customer growth dependency of Prhl and Plux promoters strength levels</div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 292: Line 292:
                 <tr>
                 <tr>
                   <td><p class="info-18">When the strength levels of Prhl and Plux promoters are in the red area, Company and Customer can grow well. Otherwise when strength levels are in the blue area, either Company or Customer cannot grow well. </p>
                   <td><p class="info-18">When the strength levels of Prhl and Plux promoters are in the red area, Company and Customer can grow well. Otherwise when strength levels are in the blue area, either Company or Customer cannot grow well. </p>
-
                   <p class="info-18">With the optimized parameter values, Company and Customer grows well as shown in Fig. 4-1-2-1-1. </p></td>
+
                   <p class="info-18">With the optimized parameter values, Company and Customer can  grow well as shown in Fig. 4-1-2-2. </p></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Fig4-1-2-1-3.png"><img src="https://static.igem.org/mediawiki/2014/5/5f/Tokyo_Tech_Fig4-1-2-1-3.png" width="300" height="223" /></a></div></td>
+
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Fig4-1-2-1-3.png"><img src="https://static.igem.org/mediawiki/2014/5/5f/Tokyo_Tech_Fig4-1-2-1-3.png" width="400" /></a></div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><strong>Fig. 4-1-2-1-2.</strong> Company and Customer can grow well with optimized parameters</div></td>
+
                   <td><div align="center"><strong>Fig. 4-1-2-2.</strong> Company and Customer can grow well with optimized parameters</div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 310: Line 310:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><p class="info-18">Company and Customer cannot grow well with less initial amounts than previous simulation as shown in Fig. 4-1-2-2-1.</p></td>
+
                   <td><p class="info-18">Company and Customer cannot grow well with less initial amounts than previous simulation as shown in Fig. 4-1-2-3.</p></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_TechFig4-1-2-2-1.png"><img src="https://static.igem.org/mediawiki/2014/3/33/Tokyo_TechFig4-1-2-2-1.png" width="300" height="225" /></a></div></td>
+
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Company_and_Customer_cannot_grow_with_less_initial_amounts.png"><img src="https://static.igem.org/mediawiki/2014/7/78/Tokyo_Tech_Company_and_Customer_cannot_grow_with_less_initial_amounts.png" width="400" /></a></div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><strong>Fig. 4-1-2-2-1.</strong> Company and Customer cannot grow with less initial amounts</div></td>
+
                   <td><div align="center"><strong>Fig. 4-1-2-3.</strong> Company and Customer cannot grow with less initial amounts</div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 322: Line 322:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><p class="info-18">But once we add the Bank to the system, they can grow well with the C4HSL produced by the Bank as shown in Fig. 4-1-2-2-2.</p></td>
+
                   <td><p class="info-18">But once we added the Bank to our system, they can grow well with the C4HSL produced by the Bank as shown in Fig. 4-1-2-4.</p></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Fig4-1-2-2-2.png"><img src="https://static.igem.org/mediawiki/2014/6/6d/Tokyo_Tech_Fig4-1-2-2-2.png" width="300" height="223" /></a></div></td>
+
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Fig4-1-2-4.png"><img src="https://static.igem.org/mediawiki/2014/8/8e/Tokyo_Tech_Fig4-1-2-4.png" width="400"/></a></div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><strong>Fig. 4-1-2-2-2.</strong> Addition of Bank make the system grow well</div></td>
+
                   <td><div align="center"><strong>Fig. 4-1-2-4.</strong> Addition of Bank make the system grow well</div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 334: Line 334:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><p class="info-18">Along with the growth of the system, Bank eventually changes its state from distribution state to collection state. This is shown in Fig. 4-1-2-2-3.</p></td>
+
                   <td><p class="info-18">Along with the growth of the system, Bank eventually changes its state from distribution state to collection state. This is shown in Fig. 4-1-2-5.</p></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Fig4-1-2-2-3.png"><img src="https://static.igem.org/mediawiki/2014/0/09/Tokyo_Tech_Fig4-1-2-2-3.png" width="270" height="202" /></a></div></td>
+
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Bank_changes_its_state.png"><img src="https://static.igem.org/mediawiki/2014/thumb/d/dc/Tokyo_Tech_Bank_changes_its_state.png/800px-Tokyo_Tech_Bank_changes_its_state.png" width="400" /></a></div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><strong>Fig. 4-1-2-2-3.</strong> Bank changes its state from Distribution State to Collection State</div></td>
+
                   <td><div align="center"><strong>Fig. 4-1-2-5.</strong> Bank changes its state from Distribution State to Collection State</div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 346: Line 346:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><p class="info-18">RhlI is expressed mainly in Distribution State. And AiiA is expressed mainly in collection state. Fig. 4-1-2-2-3 shows the Bank was first in Distribution State and in the following changed to Collection State.</p></td>
+
                   <td><p class="info-18">As shown in Fig. 4-1-2-5, C4HSL concentration increases, RhlI concentration follows the blue line in the figure, lastly RhlI won't be expressed. On the other hand, when the C4HSL concentration decreases, RhlI concentration follows the green line in the figure, results in high expression of RhlI.</p></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 359: Line 359:
                 <tr>
                 <tr>
                   <td><p class="info-18">With the advice from entrepreneurs, we introduced economic wave to our system. Detail is shown in Economic Wave page in the modeling.</p>
                   <td><p class="info-18">With the advice from entrepreneurs, we introduced economic wave to our system. Detail is shown in Economic Wave page in the modeling.</p>
-
                   <p class="info-18">Once the economic wave is introduced to our system, Company and Customer cannot grow well because of the recession during the economic wave. This is shown in Fig. 4-1-2-3-1. </p></td>
+
                   <p class="info-18">Once the economic wave is introduced to our system, Company and Customer cannot grow well because of the recession during the economic wave. This is shown in Fig. 4-1-2-6. </p></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Fig4-1-2-3-1.png"><img src="https://static.igem.org/mediawiki/2014/c/cd/Tokyo_Tech_Fig4-1-2-3-1.png" width="300" height="224" /></a></div></td>
+
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Company_and_Customer_can_not_survive_2.png"><img src="https://static.igem.org/mediawiki/2014/e/e4/Tokyo_Tech_Company_and_Customer_can_not_survive_2.png" width="400"/></a></div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><strong>Fig. 4-1-2-3-1.</strong> Company and Customer cannot grow with economic wave</div></td>
+
                   <td><div align="center"><strong>Fig. 4-1-2-6.</strong> Company and Customer cannot grow with economic wave</div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 371: Line 371:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><p class="info-18">As in the real economy, we also introduced Bank to this system. The result was different depending on the harshness of the economic wave. If the economic wave is moderate, then the Bank can help Company and Customer to grow well even in the presence of economic wave. This is shown in Fig. 4-1-2-3-2.</p></td>
+
                   <td><p class="info-18">As in the real economy, we also introduced Bank to this system. The result was different depending on the harshness of the economic wave. If the economic wave is moderate, then the Bank can help Company and Customer grow well even in the presence of economic wave. This is shown in Fig. 4-1-2-7.</p></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Fig4-1-2-3-2.png"><img src="https://static.igem.org/mediawiki/2014/f/f1/Tokyo_Tech_Fig4-1-2-3-2.png" width="300" height="224" /></a></div></td>
+
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Company_and_Customer_can_not_survive_3.png"><img src="https://static.igem.org/mediawiki/2014/e/ef/Tokyo_Tech_Company_and_Customer_can_not_survive_3.png" width="400" /></a></div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><strong>Fig. 4-1-2-3-2.</strong> Bank can help Company and Customer even in the presence of economic wave</div></td>
+
                   <td><div align="center"><strong>Fig. 4-1-2-7.</strong> Bank can help Company and Customer even in the presence of economic wave</div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
Line 383: Line 383:
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><p class="info-18">But if the economic wave is harsher than the previous one, then Bank cannot help Company and Customer enough. The result is shown in Fig. 4-1-2-3-3.</p></td>
+
                   <td><p class="info-18">But if the economic wave is harsh, then Bank cannot help Company and Customer enough. The result is shown in Fig. 4-1-2-8.</p></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Fig4-1-2-3-3.png"><img src="https://static.igem.org/mediawiki/2014/c/c4/Tokyo_Tech_Fig4-1-2-3-3.png" width="300" height="225" /></a></div></td>
+
                   <td><div align="center"><a href="https://2014.igem.org/File:Tokyo_Tech_Company_and_Customer_can_not_survive_1.png"><img src="https://static.igem.org/mediawiki/2014/1/12/Tokyo_Tech_Company_and_Customer_can_not_survive_1.png" width="400" /></a></div></td>
                 </tr>
                 </tr>
                 <tr>
                 <tr>
-
                   <td><div align="center"><strong>Fig. 4-1-2-3-3.</strong> Bank cannot help Company and Customer enough in the presence of harsh economic wave</div></td>
+
                   <td><div align="center"><strong>Fig. 4-1-2-8.</strong> Bank cannot help Company and Customer enough in the presence of harsh economic wave</div></td>
                 </tr>
                 </tr>
               </table>
               </table>

Latest revision as of 03:58, 18 October 2014

Tokyo_Tech

Modeling

Overview
 
Contents
 

1. Mathematical Model

1.1 Introduction

1.2 Cell Population

1.3 Signaling Molecules

1.4 Bank

1.5 Company

1.6 Customer

2. Story Simulation Details

2.1 Company and Customer Co-culture Simulation

2.2 Introduction of Bank

2.3 Economic Wave

 
 

1. Mathematical Model

1.1 Introduction

Since our genetic circuit is complex, it is very difficult to predict the system’s behavior intuitively. Thus we constructed mathematical models to predict the behavior.

Fig. 4-1-1-1. Genetic Circuit Design
 
Fig. 4-1-1-2. Corresponding Mathematical Model
 
 

・Table 4-1-1-1 Meaning of parameters

 
 

Detailed designs are shown below.

1.2 Cell Population

Fig. 4-1-1-3. Equations for cell population
 

The equations above describe how cells grow in the culture. Equation (1), (2), (3) describe the populations of Bank, Company, and Customer . All first terms of the equations are considered carrying capacity. Second terms of (2) and (3) describe the effect of chloramphenicol and chloramphenicol resistance gene. Note that in second terms 说明: Macintosh HD:Users:takuya:Documents:iGEM:projectBank:wiki_modeling:equations:equationsForBank1005chlorampheicol.jpg are set to 0 once the value becomes minus.

1.3 Signaling Molecules

Fig. 4-1-1-4. Equations for signaling molecules
 

These equations describe the concentrations of C4HSL and 3OC12HSL.
First and Second terms of (4) describe the production of C4HSL from RhlI in Bank and Customers cells. Third term is meant for the decomposition of C4HSL by AiiA in Bank cell. Fourth term is for the degradation of C4HSL.

Same goes on for 3OC12HSL. First term describes the production of 3OC12HSL from LasI in Company. Second term is for the decomposition of 3OC12HSL by AiiA in Bank cell. Third term is for the degradation of 3OC12HSL.

1.4 Bank

Fig. 4-1-1-5. Equations for Bank
 

Bank switches to two states during the cultivation. (6) and (7) describe the Distribution state. LacI represses the translation of TetR as described in first term of (8). RhlI will distribute C4HSL which represents money. On the other hand, (8) and (9) describe the Collection state. TetR represses LacI. AiiA decomposes C4HSL.

In order to achieve the state switching depend on the concentration of C4HSL, TetR and AiiA are regulated not only by LacI, but also by C4HSL. This makes the system be able to switch depends on the concentration of C4HSL.

1.5 Company

Fig. 4-1-1-6. Equations for Company
 

In the presence of C4HSL, LasI and CmR will be expressed.

1.6 Customer

Fig. 4-1-1-7. Equations for Customer
 

In the presence of 3OC12HSL, RhlI and CmR will be expressed.

2. Story Stimulation details

2.1 Company and Customer co-culture simulation

The system which includes only Company and Customer was simulated before our experiments. From the analysis we performed, we noticed that strength levels of Prhl and Plux promoters should be equally strong as shown in Fig. 4-1-2-1.(Detailed analysis is shown in another modeling page.)

Fig. 4-1-2-1. Company and Customer growth dependency of Prhl and Plux promoters strength levels
 

When the strength levels of Prhl and Plux promoters are in the red area, Company and Customer can grow well. Otherwise when strength levels are in the blue area, either Company or Customer cannot grow well.

With the optimized parameter values, Company and Customer can grow well as shown in Fig. 4-1-2-2.

Fig. 4-1-2-2. Company and Customer can grow well with optimized parameters
 

2.2 Introduction of Bank

Company and Customer cannot grow well with less initial amounts than previous simulation as shown in Fig. 4-1-2-3.

Fig. 4-1-2-3. Company and Customer cannot grow with less initial amounts
 

But once we added the Bank to our system, they can grow well with the C4HSL produced by the Bank as shown in Fig. 4-1-2-4.

Fig. 4-1-2-4. Addition of Bank make the system grow well
 

Along with the growth of the system, Bank eventually changes its state from distribution state to collection state. This is shown in Fig. 4-1-2-5.

Fig. 4-1-2-5. Bank changes its state from Distribution State to Collection State
 

As shown in Fig. 4-1-2-5, C4HSL concentration increases, RhlI concentration follows the blue line in the figure, lastly RhlI won't be expressed. On the other hand, when the C4HSL concentration decreases, RhlI concentration follows the green line in the figure, results in high expression of RhlI.

 

2.3 Economic wave

With the advice from entrepreneurs, we introduced economic wave to our system. Detail is shown in Economic Wave page in the modeling.

Once the economic wave is introduced to our system, Company and Customer cannot grow well because of the recession during the economic wave. This is shown in Fig. 4-1-2-6.

Fig. 4-1-2-6. Company and Customer cannot grow with economic wave
 

As in the real economy, we also introduced Bank to this system. The result was different depending on the harshness of the economic wave. If the economic wave is moderate, then the Bank can help Company and Customer grow well even in the presence of economic wave. This is shown in Fig. 4-1-2-7.

Fig. 4-1-2-7. Bank can help Company and Customer even in the presence of economic wave
 

But if the economic wave is harsh, then Bank cannot help Company and Customer enough. The result is shown in Fig. 4-1-2-8.

Fig. 4-1-2-8. Bank cannot help Company and Customer enough in the presence of harsh economic wave