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+ | <div id='cssmenu'> | ||
+ | <ul> | ||
+ | <li><img src="https://static.igem.org/mediawiki/2017/5/55/HBUT-logo2.png" height="45"/></li> | ||
+ | <li><a href='https://2017.igem.org/Team:HBUT-China'>HOME</a></li> | ||
+ | <li class='has-sub'><a href='#'>TEAM</a> | ||
+ | <ul> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/Team'>Team</a></li> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/Collaborations'>Collaborations</a></li> | ||
+ | </ul> | ||
+ | </li> | ||
+ | <li class='has-sub'><a href='javascript:;'>PROJECT</a> | ||
+ | <ul> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/Description'>Description</a></li> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/Design'>Design</a></li> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/Experiments'>Experiments</a></li> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/Notebook'>Notebook</a></li> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/InterLab'>InterLab</a></li> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/Model'>Model</a></li> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/Results'>Results</a></li> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/Demonstrate'>Demonstrate</a></li> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/Attributions'>Attributions</a></li> | ||
+ | </ul> | ||
+ | </li> | ||
+ | <li class='has-sub'><a href='javascript:;'>PARTS</a> | ||
+ | <ul> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/Parts'>Parts</a></li> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/Basic_Parts'>Basic Parts</a></li> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/Composite_Parts'>Composite Parts</a></li> | ||
+ | </ul> | ||
+ | </li> | ||
+ | <li><a href='https://2017.igem.org/Team:HBUT-China/SAFETY'>SAFETY</a></li> | ||
+ | <li class='has-sub'><a href='javascript:;'>HUMAN PRACTICES </a> | ||
+ | <ul> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/Silver_HP'>Silver HP</a></li> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/Integrated_and_Gold'>Integrated and Gold</a></li> | ||
+ | <li ><a href='https://2017.igem.org/Team:HBUT-China/Public_Engagement'>Public Engagement</a></li> | ||
+ | </ul> | ||
+ | </li> | ||
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− | < | + | <div class="oneByOne_item"> |
− | < | + | <a href="javascript:;"><img src="https://static.igem.org/mediawiki/2017/5/55/HBUT-logo2.png" width="300" class="wp1_3 slide1_bot"/></a> |
− | + | <span class="txt1">Nickel ion!</span> | |
− | < | + | <span class="txt2">Heavy metal pollutants!</span> |
− | + | <span class="txt3 short">For this year¡¯s iGEM Competition, our team will be focusing on putting forward a biological approach to detect nickel ions as a heavy metal contaminant in the natural environment</span> | |
− | </ | + | </div> |
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− | + | <span class="txt1 blue txt_right2">In order to achieve this goal, we use a nickel-sensitive repressive promoter (pncrA)</span> | |
− | </ | + | <span class="txt1 blue txt_right2">In the absence of nickel ions, the repressor protein (NcrB) binds to the promoter, preventing the expression of the subsequent gene</span> |
− | + | </div> | |
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+ | --> | ||
+ | <div class="content-main"> | ||
+ | <div class="container"> | ||
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+ | <div class="col-lg-2"></div> | ||
+ | <div class="col-lg-8 project-desc" id="contentbox"> | ||
+ | <div class="page-header"> | ||
+ | <h1>Demonstrate</h1> | ||
+ | </div> | ||
+ | <h5>We analyzed the experimental data through modeling.</h5> | ||
+ | <small class="bigtitle">1.Assumptions:</small> | ||
+ | <h5>We made four assumptions in order to simplify some of the aspects of the model. Many similar assumptions have been made in the literature.</h5> | ||
+ | <p>The degradation of and other substances are linear.</p> | ||
+ | <p>Each cell has the same state.</p> | ||
+ | <p>The reaction in the process satisfies the first-order kinetic reaction.</p> | ||
+ | <small class="bigtitle">2. Transcription Repression and Release Repression</small> | ||
+ | <div align="center" style="margin:10px 0;"> | ||
+ | <img src="https://static.igem.org/mediawiki/2017/5/5f/Hbut-demon-1.png" alt="this is a photo"> | ||
+ | </div> | ||
+ | <div align="center" style="margin:10px 0;"> | ||
+ | <img src="https://static.igem.org/mediawiki/2017/f/fd/Hbut-demon-2.png" alt="this is a photo"> | ||
+ | </div> | ||
+ | <div align="center" style="margin:10px 0;"> | ||
+ | <img src="https://static.igem.org/mediawiki/2017/d/db/Hbut-demon-3.png" alt="this is a photo"> | ||
+ | </div> | ||
+ | <div align="center" style="margin:10px 0;"> | ||
+ | <img src="https://static.igem.org/mediawiki/2017/a/a7/Hbut-demon-4.png" alt="this is a photo"> | ||
+ | </div> | ||
+ | <h5>Using the assumption about the first-order kinetic reaction,</h5> | ||
+ | <h5>Give:</h5> | ||
+ | <div align="center" style="margin:10px 0;"> | ||
+ | <img src="https://static.igem.org/mediawiki/2017/b/b3/Hbut-demon-5.png" alt="this is a photo"> | ||
+ | </div> | ||
+ | |||
+ | <small class="bigtitle">3. Quasi-steady-state Approximation (QSSA)</small> | ||
+ | <h5>Ordinary differential equations are too difficult to be solved, in order to get the solution of the equations, quasi-steady-state approximation is necessary.</h5> | ||
+ | <h5>We use the approximate conditions as little as possible and try to make the quasi steady state of matter consistent with the actual situation.</h5> | ||
+ | |||
+ | <div align="center" style="margin:10px 0;"> | ||
+ | <img src="https://static.igem.org/mediawiki/2017/4/4a/Hbut-demon-6.png" alt="this is a photo"> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <h5>According to the formula’s deformation and derivation, </h5> | ||
+ | <h5>gives:</h5> | ||
+ | <div align="center" style="margin:10px 0;"> | ||
+ | <img src="https://static.igem.org/mediawiki/2017/5/5c/Hbut-demon-7.png" alt="this is a photo"> | ||
+ | </div> | ||
+ | |||
− | < | + | <small class="bigtitle">4. Incomplete Repression</small> |
+ | <h5>Under incomplete repression, the bacteria express red fluorescent proteins without the presence of nickel ions.</h5> | ||
+ | <h5>The incomplete repression of promoters is a major issue in our fluorescence system. This issue was particularly observed in following diagram.</h5> | ||
+ | <h5>The common formulation of the Hill equation is as follows:</h5> | ||
+ | <div align="center" style="margin:10px 0;"> | ||
+ | <img src="https://static.igem.org/mediawiki/2017/3/30/Hbut-demon-8.png" alt="this is a photo"> | ||
+ | </div> | ||
+ | <h5>Consequently, we modeled incomplete repression by using the ratio of occupied promoter concentration to total promoter concentration.</h5> | ||
+ | <div align="center" style="margin:10px 0;"> | ||
+ | <img src="https://static.igem.org/mediawiki/2017/a/a9/Hbut-demon-9.png" alt="this is a photo"> | ||
+ | </div> | ||
− | < | + | <h5>In view of the fact that is difficult to be measured and have same trend to , we used the concentration of nickel ions to approximate the equation.</h5> |
− | + | <div align="center" style="margin:10px 0;"> | |
− | <h5> | + | <img src="https://static.igem.org/mediawiki/2017/9/95/Hbut-demon-10.png" alt="this is a photo"> |
− | + | </div> | |
− | < | + | <h5>So, the fluorescence intensity can be obtained without considering the cytotoxicity of Nickel Ions:</h5> |
− | + | <div align="center" style="margin:10px 0;"> | |
− | </ | + | <img src="https://static.igem.org/mediawiki/2017/9/9d/Hbut-demon-11.png" alt="this is a photo"> |
+ | </div> | ||
+ | <h5>The para meters for the production function are:</h5> | ||
+ | <h5><i>A</i>-basal expression level of promoter</h5> | ||
+ | <h5><i>B</i>-maximal expression level of promoter</h5> | ||
+ | <h5><i>K<sub>d</sub></i>-half maximal effective concentration of N-Ni</h5> | ||
+ | <h5><i>n</i>-Hill coefficient for induction. </h5> | ||
+ | <h5>Added Variable, The differential equation of was updated by:</h5> | ||
+ | <div align="center" style="margin:10px 0;"> | ||
+ | <img src="https://static.igem.org/mediawiki/2017/3/3b/Hbut-demon-12.png" alt="this is a photo"> | ||
+ | </div> | ||
+ | <h5>The solution of this differential equation is as follows:</h5> | ||
+ | <div align="center" style="margin:10px 0;"> | ||
+ | <img src="https://static.igem.org/mediawiki/2017/2/22/Hbut-demon-13.png" alt="this is a photo"> | ||
+ | </div> | ||
+ | </div> | ||
+ | <div class="col-lg-2"></div> | ||
+ | </div> | ||
+ | <br/><br/><br/><br/> | ||
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− | <div | + | <p>copyright © 2017 IGEM-HBUT-China All rights reserved.</p> |
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Revision as of 09:25, 21 October 2017
Demonstrate
We analyzed the experimental data through modeling.
1.Assumptions:We made four assumptions in order to simplify some of the aspects of the model. Many similar assumptions have been made in the literature.
The degradation of and other substances are linear.
Each cell has the same state.
The reaction in the process satisfies the first-order kinetic reaction.
2. Transcription Repression and Release Repression