Difference between revisions of "Team:Shanghai Metropolis/Model"

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<h3>★  ALERT! </h3>
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<p>This page is used by the judges to evaluate your team for the <a href="https://2021.igem.org/Judging/Medals">medal criterion</a> or <a href="https://2021.igem.org/Judging/Awards"> award listed below</a>. </p>
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<p> Delete this box in order to be evaluated for this medal criterion and/or award. See more information at <a href="https://2021.igem.org/Judging/Pages_for_Awards"> Instructions for Pages for awards</a>.</p>
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<h1> Modeling</h1>
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<p>Mathematical models and computer simulations provide a great way to describe the function and operation of Parts and Devices. Synthetic Biology is an engineering discipline, and part of engineering is simulation and modeling to determine the behavior of your design before you build it. Designing and simulating can be iterated many times in a computer before moving to the lab. </p>
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                        </li>
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                    </ul>
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                </div>
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            </li>
  
<p>Please note you can compete for both the Gold Medal criterion #3 and the Best Model prize with this page. </p>
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            <!--Project-->
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                            <a href="https://2021.igem.org/Team:Shanghai_Metropolis/Experiments">Experiments</a>
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                            <a href="https://2021.igem.org/Team:Shanghai_Metropolis/Results">Result</a>
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                            <a href="https://2021.igem.org/Team:Shanghai_Metropolis/ProofOfConcept">Proof of Concept</a>
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                            <a href="https://2021.igem.org/Team:Shanghai_Metropolis/Notebook">Notebook</a>
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                            <a href="https://2021.igem.org/Team:Shanghai_Metropolis/Safety">Safety</a>
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</div>
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<div class="column full_size">
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    <!--图片-->
<h3> Gold Medal Criterion #3</h3>
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    <div class="page-header">
<p>
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        <img src="https://static.igem.org/mediawiki/2021/d/d2/T--Shanghai_Metropolis--bg-1.png" alt="">
Use modeling to gain insight into how your project works or should be implemented. Explain your model's assumptions, data, parameters, and results in a way that anyone could understand.
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        <h1>Modeling</h1>
<br><br>
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    </div>
Please see the <a href="https://2021.igem.org/Judging/Medals">2021 Medals Page</a> for more information.
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</p>
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</div>
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    <!--内容-->
 +
    <div class="content-small">
 +
        <section class="article p-t-54 p-b-54">
 +
            <section>
 +
                <h1 class="title">Purpose</h1>
 +
                <p>Given that GST-VP1-LTB proteins showed weak expression, we needed to optimize the expression conditions
 +
                    in terms of the concentration of IPTG solution and the growth period of <i>E.coli</i>. The amount of
 +
                    protein expression will be integrated with the above two factors, in order to predict the optimal
 +
                    protein expression condition of EV71-VP1 and EV71-VP1-LTB, by the means of modeling.</p>
 +
            </section>
  
<div class="column two_thirds_size">
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            <section>
<h3>Best Model Special Prize</h3>
+
                <h1 class="title">Initial data</h1>
 +
                <p>After transforming pGEX-6P-1-VP1 and pGEX-6P-1-VP1-LTB into E.coli BL21, We harvested the bacteria
 +
                    solution of different concentration at different time(OD<sub>600</sub> =0.5/0.6/0.8/1.0), separated each
 +
                    group into
 +
                    two, and induced each of the two groups with 1mM IPTG and 10mM IPTG respectively. Then we ran the PAGE
 +
                    gel of all the groups and stained the gel with coomassie brilliant blue staining solution. The strongest
 +
                    band in each group corresponded to GST, GST-VP1 and GST-VP1-LTB respectively.</p>
 +
                <div class="img-container">
 +
                    <img src="https://static.igem.org/mediawiki/2021/3/30/T--Shanghai_Metropolis--img_modeling_1.jpg" alt="">
 +
                    <span class="figure">Figure 1: PAGE gel after Coomassie Brilliant Blue staining</span>
 +
                </div>
 +
                <p>To compare the expression of proteins in each group, we used the software <i>ImageJ</i> to quantify the
 +
                    brightness of the selected bands as gray value. We collected the gray values and arranged them into a
 +
                    table.</p>
  
<p>Models and computer simulations provide a great way to describe the functioning and operation of BioBrick Parts and Devices. Synthetic biology is an engineering discipline and part of engineering is simulation and modeling to determine system behavior before building your design. Designing and simulating can be iterated many times in a computer before moving to the lab. This award is for teams who build a model of their system and use it to inform system design or simulate expected behavior before or in conjunction with experiments in the wetlab.
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                <span class="figure">Table 1: Gray value of GST-VP1 and GST-VP1-LTB in all conditions</span>
</p><p>
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                <img src="https://static.igem.org/mediawiki/2021/e/ea/T--Shanghai_Metropolis--img_modeling_2.jpg" alt="">
To compete for the <a href="https://2021.igem.org/Judging/Awards">Best Model prize</a>, please describe your work on this page  and also fill out the description on the <a href="https://2021.igem.org/Judging/Judging_Form">judging form</a>.
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</p>
+
  
</div>
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            </section>
  
 +
            <section>
 +
                <h1 class="title">Model Construction</h1>
 +
                <p>Integrating the results obtained in the table above, we used the software <i>Mat lab</i> to construct a
 +
                    model.</p>
 +
                <p>In order to analyze the experssion factors, we divided the data into four groups in terms of the types of
 +
                    proteins and the concentration of IPTG solution: VP1(1mM IPTG), VP1(10mM IPTG), VP1-LTB(1mM IPTG),
 +
                    VP1-LTB(10mM IPTG). And we took OD<sub>600</sub> of the bacteria solution as the x-axis and the gray
 +
                    value as
 +
                    y-axis.</p>
 +
            </section>
  
<div class="column third_size">
+
            <section>
<div class="highlight decoration_A_full">
+
                <h1 class="title">IPTG = 1mM</h1>
<h3> Inspiration </h3>
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                <p>After trying different types of data equations, such as linear equation, polynomial equation and
<p>You can look at what other teams did to get some inspiration! <br />
+
                    exponential equation, we chose the polynomial equation,
Here are a few examples:</p>
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                    <span>y=p<sub>1</sub>x<sup>3</sup>+p<sub>2</sub>x<sup>2</sup>+p<sub>3</sub>x+p<sub>4</sub></span>
<ul>
+
                    which fits our experiment results the most to
<li><a href="https://2018.igem.org/Team:GreatBay_China/Model">2018 GreatBay China</a></li>
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                    construct the model about the relationship between the OD<sub>600</sub> of our bacteria and the Gray
<li><a href="https://2018.igem.org/Team:Leiden/Model">2018 Leiden</a></li>
+
                    value (the
<li><a href="https://2019.igem.org/Team:IISER_Kolkata/Model">2019 IISER Kolkata</a></li>
+
                    protein expression level).</p>
<li><a href="https://2019.igem.org/Team:Exeter/Model">2019 Exeter</li>
+
<li><a href="https://2019.igem.org/Team:Mingdao/Model">2019 Mingdao</a></li>
+
<li><a href="https://2020.igem.org/Team:Harvard/Model">2020 Harvard</a></li>
+
<li><a href="https://2020.igem.org/Team:Leiden/Model">2020 Leiden</a></li>
+
</ul>
+
</div>
+
</div>
+
  
 +
                <section>
 +
                    <h2 class="title2">1. VP1 Group</h2>
 +
 +
                    <img class="m-t-18" src="https://static.igem.org/mediawiki/2021/d/de/T--Shanghai_Metropolis--img_modeling_3.jpg" alt=""
 +
                        style="width: 50%">
 +
                    <div class="figure">Figure 2. The fitting parameter results of
 +
                        <span>y=p<sub>1</sub>x<sup>3</sup>+p<sub>2</sub>x<sup>2</sup>+p<sub>3</sub>x+p<sub>4</sub></span>
 +
                        model when IPTG=1mM for VP1 group
 +
                    </div>
 +
 +
                    <img class="m-t-18" src="https://static.igem.org/mediawiki/2021/a/a9/T--Shanghai_Metropolis--img_modeling_4.jpg" alt="" style="width: 90%"/>
 +
                    <div class="figure">Figure 3. The fitting curve of
 +
                        <span>y=p<sub>1</sub>x<sup>3</sup>+p<sub>2</sub>x<sup>2</sup>+p<sub>3</sub>x+p<sub>4</sub></span>
 +
                        model when IPTG=1mM for VP1 group
 +
                    </div>
 +
 +
                    <p>As showing above in Figure 2, the fitting degree of the polynomial model reaches 1, which you could
 +
                        also tell from the smooth curve in Figure 3. Based on this model, we could predict the gray value,
 +
                        namely the protein expression level of the engineered strain (VP1) once the OD<sub>600</sub> value
 +
                        (the growth
 +
                        period) is given.</p>
 +
                </section>
 +
 +
                <section>
 +
                    <h2 class="title2">2. VP1-LTB Group</h2>
 +
 +
                    <img class="m-t-18" src="https://static.igem.org/mediawiki/2021/f/f1/T--Shanghai_Metropolis--img_modeling_5.jpg" alt="" style="width: 50%"/>
 +
                    <div class="figure">Figure 4. The fitting parameter results of
 +
                        <span>y=p<sub>1</sub>x<sup>3</sup>+p<sub>2</sub>x<sup>2</sup>+p<sub>3</sub>x+p<sub>4</sub></span>
 +
                        model when IPTG=1mM for VP1-LTB group
 +
                    </div>
 +
 +
                    <img class="m-t-18" src="https://static.igem.org/mediawiki/2021/9/9e/T--Shanghai_Metropolis--img_modeling_6.jpg" alt="" style="width: 90%"/>
 +
                    <div class="figure">Figure 5. The fitting curve of
 +
                        <span>y=p<sub>1</sub>x<sup>3</sup>+p<sub>2</sub>x<sup>2</sup>+p<sub>3</sub>x+p<sub>4</sub></span>
 +
                        model when IPTG=1mM for VP1-LTB group
 +
                    </div>
 +
 +
                    <img class="m-t-18" src="https://static.igem.org/mediawiki/2021/2/26/T--Shanghai_Metropolis--img_modeling_7.jpg" alt="" style="width: 90%"/>
 +
                    <span class="figure">Figure 6. Comparison diagram of the fitting curves of VP1 group and VP1-LTB group when IPTG=1mM</span>
 +
 +
                    <p>For VP1-LTB group when IPTG=1mM, we can predict that the gray value (the protein expression level)
 +
                        could reach the highest when OD<sub>600</sub> is 0.9. According to figure 6, it indicates that LTB
 +
                        could promote the ptotein expression level of the engineered bacteria in the higher OD<sub>600</sub>
 +
                        range (> 0.69), namly the late growth period.</p>
 +
                </section>
 +
            </section>
 +
 +
            <section>
 +
                <h1 class="title">IPTG = 10mM</h1>
 +
                <p>We still use the polynomial equation to fit the relationship between the OD<sub>600</sub> value of the
 +
                    engineered strains ( VP1, VP1-LTB ) and the gray value when IPTG=10mM. The fitting parameter results and
 +
                    the fitting curves are showing below.</p>
 +
 +
                <section>
 +
                    <h2 class="title2">1. VP1 Group</h2>
 +
 +
                    <img class="m-t-18" src="https://static.igem.org/mediawiki/2021/9/9e/T--Shanghai_Metropolis--img_modeling_8.jpg" alt=""
 +
                        style="width: 50%">
 +
                    <div class="figure">Figure 7. The fitting parameter results of
 +
                        <span>y=p<sub>1</sub>x<sup>3</sup>+p<sub>2</sub>x<sup>2</sup>+p<sub>3</sub>x+p<sub>4</sub></span>
 +
                        model when IPTG=10 mM for VP1 group
 +
                    </div>
 +
 +
                    <img class="m-t-18" src="https://static.igem.org/mediawiki/2021/1/1e/T--Shanghai_Metropolis--img_modeling_9.jpg" alt="" style="width: 90%"/>
 +
                    <div class="figure">Figure 8. The fitting curve of
 +
                        <span>y=p<sub>1</sub>x<sup>3</sup>+p<sub>2</sub>x<sup>2</sup>+p<sub>3</sub>x+p<sub>4</sub></span>
 +
                        model when IPTG=1mM for VP1 group
 +
                    </div>
 +
 +
                    <p>According the figure 7 and 8, the polynomial fucntion fits these data quite well with the fitting
 +
                        degress 1. Compared to the decline trend in figure 3, there are a peak (OD<sub>600</sub>=0.9) and a
 +
                        trough (OD<sub>600</sub>=0.64) when the IPTG concentration goes up to 10 mM.</p>
 +
                </section>
 +
 +
                <section>
 +
                    <h2 class="title2">2. VP1-LTB Group</h2>
 +
 +
                    <img class="m-t-18" src="https://static.igem.org/mediawiki/2021/b/b8/T--Shanghai_Metropolis--img_modeling_10.jpg" alt="" style="width: 50%"/>
 +
                    <div class="figure">Figure 9. The fitting parameter results of
 +
                        <span>y=p<sub>1</sub>x<sup>3</sup>+p<sub>2</sub>x<sup>2</sup>+p<sub>3</sub>x+p<sub>4</sub></span>
 +
                        model when IPTG=10mM for VP1-LTB group
 +
                    </div>
 +
 +
                    <img class="m-t-18" src="https://static.igem.org/mediawiki/2021/6/64/T--Shanghai_Metropolis--img_modeling_11.jpg" alt="" style="width: 90%"/>
 +
                    <div class="figure">Figure 10. The fitting curve of
 +
                        <span>y=p<sub>1</sub>x<sup>3</sup>+p<sub>2</sub>x<sup>2</sup>+p<sub>3</sub>x+p<sub>4</sub></span>
 +
                        model when IPTG=10mM for VP1-LTB group
 +
                    </div>
 +
 +
                    <img class="m-t-18" src="https://static.igem.org/mediawiki/2021/1/11/T--Shanghai_Metropolis--img_modeling_12.jpg" alt="" style="width: 90%"/>
 +
                    <span class="figure">Figure 11. Comparison diagram of the fitting curves of VP1 group and VP1-LTB group when IPTG=10mM</span>
 +
 +
                    <p>For VP1-LTB group when IPTG=10mM, the overal trend of the grey value (the protein expression level)
 +
                        is monotonically inceasing by the OD<sub>600</sub> (figure 10). When the concentration od IPTG is 10
 +
                        mM, we could see that basically the gray value of VP1 is higher than that of VP1-LTB group until the
 +
                        OD<sub>600</sub>reaches 0.97. So herein we can draw a similar conclusion that LTB could promote the
 +
                        ptotein expression level of the engineered bacteria in the very late growth period (OD<sub>600</sub>
 +
                        >0.97).
 +
                    </p>
 +
                    <p>According to all the above, we will suggest the optimum stage of our engineered bacteria for the
 +
                        protein expression will be the OD<sub>600</sub> 0.8~0.9. For the concentration of IPTG, it seems not
 +
                        that relevant. For the VP1 group, 10mM could induce the protein more. But for the VP1-LTB group, 1mM
 +
                        could promote much stronger in the late period.</p>
 +
                </section>
 +
            </section>
 +
 +
            <section>
 +
                <h1 class="title">Future Plan</h1>
 +
                <p>However, due to the difficulty of the protein expression in L.casei, we would need to optimize the
 +
                    incubation and electroporation of L.casei or reconstruct the plasmids. In addition, our partner
 +
                    Pro-casei team will continue their development of modifying L. casei.</p>
 +
                <p>If we succeed in stage 2 where the engineered L. casei could express the VP1 protein optimum, it would be
 +
                    more promising that we could reach the next big stage - let the mice take the transformed L.casei via
 +
                    gavage, and then measured the level of anti-VP1-LTB IgG in the serum of the mice and the level of IgA in
 +
                    their feces.</p>
 +
            </section>
 +
        </section>
 +
    </div>
 +
 +
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 +
    <div class="footer">
 +
        <div class="content">
 +
            <hr>
 +
            <span>Email us at: zhixuansong1022@qq.com</span>
 +
            <span>Search‘EV71terminator’ in Wechat to find more about us</span>
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Revision as of 07:38, 22 September 2021

Purpose

Given that GST-VP1-LTB proteins showed weak expression, we needed to optimize the expression conditions in terms of the concentration of IPTG solution and the growth period of E.coli. The amount of protein expression will be integrated with the above two factors, in order to predict the optimal protein expression condition of EV71-VP1 and EV71-VP1-LTB, by the means of modeling.

Initial data

After transforming pGEX-6P-1-VP1 and pGEX-6P-1-VP1-LTB into E.coli BL21, We harvested the bacteria solution of different concentration at different time(OD600 =0.5/0.6/0.8/1.0), separated each group into two, and induced each of the two groups with 1mM IPTG and 10mM IPTG respectively. Then we ran the PAGE gel of all the groups and stained the gel with coomassie brilliant blue staining solution. The strongest band in each group corresponded to GST, GST-VP1 and GST-VP1-LTB respectively.

Figure 1: PAGE gel after Coomassie Brilliant Blue staining

To compare the expression of proteins in each group, we used the software ImageJ to quantify the brightness of the selected bands as gray value. We collected the gray values and arranged them into a table.

Table 1: Gray value of GST-VP1 and GST-VP1-LTB in all conditions

Model Construction

Integrating the results obtained in the table above, we used the software Mat lab to construct a model.

In order to analyze the experssion factors, we divided the data into four groups in terms of the types of proteins and the concentration of IPTG solution: VP1(1mM IPTG), VP1(10mM IPTG), VP1-LTB(1mM IPTG), VP1-LTB(10mM IPTG). And we took OD600 of the bacteria solution as the x-axis and the gray value as y-axis.

IPTG = 1mM

After trying different types of data equations, such as linear equation, polynomial equation and exponential equation, we chose the polynomial equation, y=p1x3+p2x2+p3x+p4 which fits our experiment results the most to construct the model about the relationship between the OD600 of our bacteria and the Gray value (the protein expression level).

1. VP1 Group

Figure 2. The fitting parameter results of y=p1x3+p2x2+p3x+p4 model when IPTG=1mM for VP1 group
Figure 3. The fitting curve of y=p1x3+p2x2+p3x+p4 model when IPTG=1mM for VP1 group

As showing above in Figure 2, the fitting degree of the polynomial model reaches 1, which you could also tell from the smooth curve in Figure 3. Based on this model, we could predict the gray value, namely the protein expression level of the engineered strain (VP1) once the OD600 value (the growth period) is given.

2. VP1-LTB Group

Figure 4. The fitting parameter results of y=p1x3+p2x2+p3x+p4 model when IPTG=1mM for VP1-LTB group
Figure 5. The fitting curve of y=p1x3+p2x2+p3x+p4 model when IPTG=1mM for VP1-LTB group
Figure 6. Comparison diagram of the fitting curves of VP1 group and VP1-LTB group when IPTG=1mM

For VP1-LTB group when IPTG=1mM, we can predict that the gray value (the protein expression level) could reach the highest when OD600 is 0.9. According to figure 6, it indicates that LTB could promote the ptotein expression level of the engineered bacteria in the higher OD600 range (> 0.69), namly the late growth period.

IPTG = 10mM

We still use the polynomial equation to fit the relationship between the OD600 value of the engineered strains ( VP1, VP1-LTB ) and the gray value when IPTG=10mM. The fitting parameter results and the fitting curves are showing below.

1. VP1 Group

Figure 7. The fitting parameter results of y=p1x3+p2x2+p3x+p4 model when IPTG=10 mM for VP1 group
Figure 8. The fitting curve of y=p1x3+p2x2+p3x+p4 model when IPTG=1mM for VP1 group

According the figure 7 and 8, the polynomial fucntion fits these data quite well with the fitting degress 1. Compared to the decline trend in figure 3, there are a peak (OD600=0.9) and a trough (OD600=0.64) when the IPTG concentration goes up to 10 mM.

2. VP1-LTB Group

Figure 9. The fitting parameter results of y=p1x3+p2x2+p3x+p4 model when IPTG=10mM for VP1-LTB group
Figure 10. The fitting curve of y=p1x3+p2x2+p3x+p4 model when IPTG=10mM for VP1-LTB group
Figure 11. Comparison diagram of the fitting curves of VP1 group and VP1-LTB group when IPTG=10mM

For VP1-LTB group when IPTG=10mM, the overal trend of the grey value (the protein expression level) is monotonically inceasing by the OD600 (figure 10). When the concentration od IPTG is 10 mM, we could see that basically the gray value of VP1 is higher than that of VP1-LTB group until the OD600reaches 0.97. So herein we can draw a similar conclusion that LTB could promote the ptotein expression level of the engineered bacteria in the very late growth period (OD600 >0.97).

According to all the above, we will suggest the optimum stage of our engineered bacteria for the protein expression will be the OD600 0.8~0.9. For the concentration of IPTG, it seems not that relevant. For the VP1 group, 10mM could induce the protein more. But for the VP1-LTB group, 1mM could promote much stronger in the late period.

Future Plan

However, due to the difficulty of the protein expression in L.casei, we would need to optimize the incubation and electroporation of L.casei or reconstruct the plasmids. In addition, our partner Pro-casei team will continue their development of modifying L. casei.

If we succeed in stage 2 where the engineered L. casei could express the VP1 protein optimum, it would be more promising that we could reach the next big stage - let the mice take the transformed L.casei via gavage, and then measured the level of anti-VP1-LTB IgG in the serum of the mice and the level of IgA in their feces.