Difference between revisions of "Team:SIAT-SCIE/Model"

 
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         <div id="comic">
 
         <div id="comic">
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             <p>
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             <p style="font-family:'Avenir';font-size:23px">
 
                 <img src="https://static.igem.org/mediawiki/2017/b/bb/SIAT-SCIE_modeling.png" alt="comic" />
 
                 <img src="https://static.igem.org/mediawiki/2017/b/bb/SIAT-SCIE_modeling.png" alt="comic" />
 
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             </p>
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        <div id="content">
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            <h3 style="font-family:'Avenir';font-size:23px">Results</h3>
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            <table>
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                <tr>
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                    <th></th>
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                    <th style="text-align:center;font-family:'Avenir';font-size:23px">-IPTG</th>
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                    <th style="text-align:center;font-family:'Avenir';font-size:23px">+IPTG</th>
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                </tr>
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                <tr>
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                    <th style="font-family:'Avenir';font-size:23px">Control</th>
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                    <td style="font-family:'Avenir';font-size:23px">3072</td>
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                    <td style="font-family:'Avenir';font-size:23px">4244</td>
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                </tr>
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                <tr>
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                    <th style="font-family:'Avenir';font-size:23px">UV 5s</th>
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                    <td style="font-family:'Avenir';font-size:23px">4/7(5.5)</td>
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                    <td style="font-family:'Avenir';font-size:23px">15/46(30.5)</td>
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                </tr>
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                <tr>
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                    <th style="font-family:'Avenir';font-size:23px">UV 10s</th>
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                    <td style="font-family:'Avenir';font-size:23px">1/7(4)</td>
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                    <td style="font-family:'Avenir';font-size:23px">11/22(16.5)</td>
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                </tr>
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            </table>
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            <p style="font-family:'Avenir';font-size:23px">
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            So, overall we can see that the control groups have similar clone numbers, while the + IPTG group displays approximately 4 to 5 fold survivability. The induced Dsup protein can help the cell survive high radiation exposure.
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            </p>
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            <br />
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            <img src="https://static.igem.org/mediawiki/2017/e/e2/SIAT-SCIE_model1.jpg" alt="model1" style="width:1000px;margin-left:130px;"/>
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            <p style="font-family:'Avenir';font-size:23px">
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            Due to the limited sample size, we are unable to conduct T-test or similar statistical tests on our data.
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            </p>
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            <br />
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            <p style="font-family:'Avenir';font-size:23px">
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            We have adopted a simpler model to investigate the correspondence between Dsup expression and survival rate.
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            </p>
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            <br />
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            <p style="font-family:'Avenir';font-size:23px">
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                Assume a pair of constants, representing the cell damage rate. (k1 and k2 for – IPTG and + IPTG groups)
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            </p>
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            <p style="font-family:'Avenir';font-size:23px">
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            Let the survival of cells be function S(t), given the cells are under UV light incidence,</p>
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            <img src="https://static.igem.org/mediawiki/2017/b/bc/SIAT-SCIE_model2.png" alt="model2" style="width:200px;margin-left:130px;"/>
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            <p style="font-family:'Avenir';font-size:23px">Solve the equation, we have,</p>
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            <img src="https://static.igem.org/mediawiki/2017/8/86/SIAT-SCIE_model3.png" alt="model3" style="width:200px;margin-left:130px;"/>
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          <p style="font-family:'Avenir';font-size:23px"> Put in the data, we have</p>
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            <img src="https://static.igem.org/mediawiki/2017/2/20/SIAT-SCIE_model4.png" alt="model4" style="width:1000px;margin-left:130px;"/>
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            <p style="font-family:'Avenir';font-size:23px">Solve differential equations in Mathematica, we have</p>
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            <p style="font-family:'Avenir';font-size:23px">
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            k1 = 1.26507</p>
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            <p style="font-family:'Avenir';font-size:23px">
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            k2 =0.95675
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                </p>
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            <p style="font-family:'Avenir';font-size:23px">
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            The Dsup increases the cell resilience to radiation about 25%.</p>
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            <p style="font-family:'Avenir';font-size:23px">
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            Extend time to 20s, we have the following expectations
 +
            </p>
 +
 +
            <p style="font-family:'Avenir';font-size:23px">We noticed the model is somehow inaccurate after extending the UV time to 10s onwards, taking into account the sample size, this is what we can do.
 +
            </p>
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            <p style="font-family:'Avenir';font-size:23px">
 +
            A more accurate analysis is in the PDF file attached.
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            Another complete differential analysis is in another PDF down below.
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            </p>
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             <embed src="https://static.igem.org/mediawiki/2017/3/34/SIAT-SCIE_Modeling.pdf" alt="Modeling" />
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             <embed src="https://static.igem.org/mediawiki/2017/2/24/SIAT-SCIE_Model.pdf" alt="Modeling" />
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            <br/><br/><br/>
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            <p style="font-family:'Avenir';text-align:center; font-size:23px; width:800px;margin-left:225px;color:blue;"><a href="https://static.igem.org/mediawiki/2017/2/24/SIAT-SCIE_Model.pdf" alt="DOWNLOAD PDF"><em>Donwload the pdf</em></a><p style="font-family:'Avenir';font-size:23px";>
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        </div>
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<p style="font-family:'Avenir';text-align:center; font-size:23px; width:800px;margin-left:225px;color:blue;"><a href="https://static.igem.org/mediawiki/2017/3/34/SIAT-SCIE_Modeling.pdf" alt="DOWNLOAD PDF"><em>Donwload an complete analysis</em></a><p style="font-family:'Avenir';font-size:23px";>
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Latest revision as of 03:46, 2 November 2017

comic

Results

-IPTG +IPTG
Control 3072 4244
UV 5s 4/7(5.5) 15/46(30.5)
UV 10s 1/7(4) 11/22(16.5)

So, overall we can see that the control groups have similar clone numbers, while the + IPTG group displays approximately 4 to 5 fold survivability. The induced Dsup protein can help the cell survive high radiation exposure.


model1

Due to the limited sample size, we are unable to conduct T-test or similar statistical tests on our data.


We have adopted a simpler model to investigate the correspondence between Dsup expression and survival rate.


Assume a pair of constants, representing the cell damage rate. (k1 and k2 for – IPTG and + IPTG groups)

Let the survival of cells be function S(t), given the cells are under UV light incidence,

model2

Solve the equation, we have,

model3

Put in the data, we have

model4

Solve differential equations in Mathematica, we have

k1 = 1.26507

k2 =0.95675

The Dsup increases the cell resilience to radiation about 25%.

Extend time to 20s, we have the following expectations

We noticed the model is somehow inaccurate after extending the UV time to 10s onwards, taking into account the sample size, this is what we can do.

A more accurate analysis is in the PDF file attached. Another complete differential analysis is in another PDF down below.

Donwload the pdf

Donwload an complete analysis




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