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<section class="content_container" id="mytop"> | <section class="content_container" id="mytop"> | ||
<h2 class="title-h2">Mating pheromone pathway model</h2> | <h2 class="title-h2">Mating pheromone pathway model</h2> | ||
− | <p class="my-content-p">We expected to use mRFP intensity to predict the sweetness based on our system. So we needed an insight into relationship between mRFP and sweetness. But lots of factor can impact the signal output so that we decided to divide our system into two parts, single cell model and yeast growth model. </p> | + | <p class="my-content-p">We expected to use mRFP intensity to predict the sweetness based on our system. So we needed an insight into relationship between mRFP and sweetness. But lots of factor can impact the signal output so that we decided to divide our system into two parts, <b>single cell model</b> and <b>yeast growth model</b>. </p> |
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<h3 class="title-h3">Single cell model</h3> | <h3 class="title-h3">Single cell model</h3> | ||
<h4 class="title-h4">Purpose</h4> | <h4 class="title-h4">Purpose</h4> | ||
− | <p class="my-content-p">To simulate | + | <p class="my-content-p">To simulate RFP intensity under different sweetness, we needed to set a model in a single cell firstly. By establishing this model, we could learn about how the sweetness signal transmit in the in yeast coupling pheromone pathway<sup>[3]</sup>, and know each step of the signal transmit in detail, which provides supports for regulating the signal and improving our bio-meter.</p> |
<h4 class="title-h4">Single cell model:</h4> | <h4 class="title-h4">Single cell model:</h4> | ||
− | <p class="my-content-p">In single cell model, we pay main attention | + | <p class="my-content-p">In single cell model, we pay main attention to the signal transduction in pheromone pathway based on<sup>[4]</sup>.And in order to simulate the signal transduction in mathematical way conveniently, we set some hypothesizes of this model: </p> |
− | <li class="my-content-li2">1. We | + | <li class="my-content-li2">1. We assumed that T1R2/T1R3 receptor does not have synergistic effect when it binds with sweeteners.</li> |
− | <li class="my-content-li2">2. We | + | <li class="my-content-li2">2. We hypothesized that the number of binding sweetener are consistent when binding to T1R2/T1R3 receptor or pheromone receptor.</li> |
− | <li class="my-content-li2">3. We | + | <li class="my-content-li2">3. We supposed that the combining rate and the initial binding concentration of sweetener are as same as pheromone receptor’s.</li> |
− | <li class="my-content-li2">4. There is no influence between | + | <li class="my-content-li2">4. There is no influence between cell growth and protein expression in a single cell.</li> |
− | <li class="my-content-li2">5. Only concern conservation relations of protein concentration in a single cell. The protein involving in the signal transduction is not considers its production or degradation. </li> | + | <li class="my-content-li2">5. Only concern conservation relations of protein concentration in a single cell. The protein involving in the signal transduction is not considers its production or degradation. </li> |
<h4 class="title-h4">Method and discussion </h4> | <h4 class="title-h4">Method and discussion </h4> | ||
<div class="my-content-box"> | <div class="my-content-box"> | ||
− | <img class="formula50" src="https://static.igem.org/mediawiki/2017/ | + | <img class="formula50" src="https://static.igem.org/mediawiki/2017/8/85/T-BIT-China-2017MODEL-16.png" /> |
− | <span>Fig 8. | + | <span>Fig 8. Sweetness testing pathway in Sugar Hunter</span> |
</div> | </div> | ||
− | <p class="my-content-p"> | + | <p class="my-content-p">In order to simulate our project systematically, we divided our whole system into four blocks: (a) the activation of T1R2/T1R3 receptor; (b) the activation of G-protein cycle; (c) the cascade reaction of MAPK; and (d) the expression of RFP. And the simulating process and result of each part were shown below. </p> |
− | + | ||
− | <p class="my-content-p">T1R2/T1R3 receptor | + | <p class="my-content-p">1. The activation of T1R2/T1R3 receptor:</p> |
<div class="my-content-box"> | <div class="my-content-box"> | ||
− | <img class="formula50" src="https://static.igem.org/mediawiki/2017/ | + | <img class="formula50" src="https://static.igem.org/mediawiki/2017/f/fc/T-BIT-China-2017MODEL-17.png" /> |
− | <span>Fig. 9 The | + | <span>Fig. 9 The mechanism of T1R2/T1R3 receptor’s activation</span> |
</div> | </div> | ||
<div class="my-content-box"> | <div class="my-content-box"> | ||
− | <p class="my-content-p"> | + | <p class="my-content-p">In this process, T1R2/T1R3 receptor has four different states. And the receptor transfer between these states under the different sweetener-binding conditions. The equations of this process were shown as follow:</p> |
− | <img class="formula2" src="https://static.igem.org/mediawiki/2017/ | + | <img class="formula2" src="https://static.igem.org/mediawiki/2017/a/a4/T--BIT-China--2017formula_pic1.png" alt=""> |
+ | |||
</div> | </div> | ||
<div class="my-img-box"> | <div class="my-img-box"> | ||
− | <span>(T1R2/3: the T1R2-T1R3 | + | <span>(T1R2/3: the T1R2-T1R3 receptor. All parameters of this part were listed in Table 1)</span> |
</div> | </div> | ||
− | + | ||
<div class="my-img-box" style="justify-content: flex-start;"> | <div class="my-img-box" style="justify-content: flex-start;"> | ||
<table class="table-co"> | <table class="table-co"> | ||
− | <caption>Table | + | <caption>Table 1. The value of parameters in activation of T1R2/T1R3 receptor </caption> |
<thead> | <thead> | ||
<tr> | <tr> | ||
Line 61: | Line 63: | ||
<th>Description</th> | <th>Description</th> | ||
<th>Value</th> | <th>Value</th> | ||
− | + | ||
</tr> | </tr> | ||
</thead> | </thead> | ||
Line 67: | Line 69: | ||
<tr> | <tr> | ||
<td>k<sub>1</sub></td> | <td>k<sub>1</sub></td> | ||
− | <td>Rate constant of sweetness | + | <td>Rate constant of sweetness binding on receptor</td> |
<td>0.0012</td> | <td>0.0012</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>k<sub>2</sub></td> | <td>k<sub>2</sub></td> | ||
− | <td>Rate constant of | + | <td>Rate constant of activated receptor</td> |
<td>0.6</td> | <td>0.6</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>k<sub>3</sub></td> | <td>k<sub>3</sub></td> | ||
− | <td>Rate constant of | + | <td>Rate constant of downregulated receptor</td> |
<td>0.24</td> | <td>0.24</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
Line 87: | Line 89: | ||
<td>Rate constant of receptor degradation</td> | <td>Rate constant of receptor degradation</td> | ||
<td>0.024</td> | <td>0.024</td> | ||
− | + | ||
</tr> | </tr> | ||
</tbody> | </tbody> | ||
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− | <p class="my-content-p">The | + | <p class="my-content-p">The result of T1R2/T1R3 receptor’s activation was shown below(Fig. 10). It demonstrated that T1R2/T1R3 receptor could respond to different concentration of ligand.</p> |
<div class="my-content-box"> | <div class="my-content-box"> | ||
<img class="formula50" src="https://static.igem.org/mediawiki/2017/d/d4/T--BIT-China--2017modeling_pic10.png" /> | <img class="formula50" src="https://static.igem.org/mediawiki/2017/d/d4/T--BIT-China--2017modeling_pic10.png" /> | ||
− | <span>Fig. 10. The | + | <span>Fig. 10. The simulating result of receptor’s activation under the different concentration of ligand</span> |
</div> | </div> | ||
− | + | ||
− | <h4 class="title-h4">G-protein cycle | + | <h4 class="title-h4">2. The activation of G-protein cycle:</h4> |
<div class="my-content-box"> | <div class="my-content-box"> | ||
− | <img class="formula50" src="https://static.igem.org/mediawiki/2017/ | + | <img class="formula50" src="https://static.igem.org/mediawiki/2017/f/fa/T-BIT-China-2017MODEL-18.png" /> |
− | <span>Fig. 11 The | + | <span>Fig. 11 The process of G-protein cycle’s activation</span> |
</div> | </div> | ||
<div class="my-content-box"> | <div class="my-content-box"> | ||
− | <p class="my-content-p">After signal produced, the | + | <p class="my-content-p">After upstream signal was produced, the activated G exchanges GTP in place of GDP<sup>[5]</sup>. Then the G and G<sub>βγ</sub> dimer are dissociated from receptor and then active downstream pathway. Here, we selected the G<sub>βγ</sub> dimer as the output of this part. And the equations of this process were listed as follow: </p> |
− | <img class="formula2" src="https://static.igem.org/mediawiki/2017/ | + | <img class="formula2" src="https://static.igem.org/mediawiki/2017/3/32/T--BIT-China--2017formula_pic2.png" alt=""> |
</div> | </div> | ||
− | + | <p class="my-content-p">(The parameters of this part were listed in Table 2)</p> | |
− | + | ||
− | <p class="my-content-p">The parameters of this part | + | |
<div class="my-img-box" style="justify-content: flex-start;"> | <div class="my-img-box" style="justify-content: flex-start;"> | ||
<table class="table-co"> | <table class="table-co"> | ||
− | <caption>Table 2. The value of | + | <caption>Table 2. The value of parameters in G-protein cycle’s activation</caption> |
<thead> | <thead> | ||
<tr> | <tr> | ||
Line 128: | Line 128: | ||
<th>Description</th> | <th>Description</th> | ||
<th>Value</th> | <th>Value</th> | ||
− | + | ||
</tr> | </tr> | ||
</thead> | </thead> | ||
Line 134: | Line 134: | ||
<tr> | <tr> | ||
<td>k<sub>5</sub></td> | <td>k<sub>5</sub></td> | ||
− | <td>Rate constant of G<sub>αβγ</sub> dissociated</td> | + | <td>Rate constant of G<sub>αβγ</sub>'s dissociated</td> |
<td>0.0036</td> | <td>0.0036</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>k<sub>6</sub></td> | <td>k<sub>6</sub></td> | ||
− | <td>Rate constant of G<sub>αβγ</sub> Synthetized</td> | + | <td>Rate constant of G<sub>αβγ</sub>'s Synthetized</td> |
<td>2000</td> | <td>2000</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>k<sub>7</sub></td> | <td>k<sub>7</sub></td> | ||
− | <td>Rate constant of G<sub>βγ</sub> bind with Ste5</td> | + | <td>Rate constant of G<sub>βγ</sub>'s bind with Ste5</td> |
<td>0.1</td> | <td>0.1</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>k<sub>8</sub></td> | <td>k<sub>8</sub></td> | ||
− | <td>Rate constant of G<sub>βγ</sub> unbind with Ste5</td> | + | <td>Rate constant of G<sub>βγ</sub>'s unbind with Ste5</td> |
<td>5</td> | <td>5</td> | ||
− | + | ||
</tr> | </tr> | ||
</tbody> | </tbody> | ||
Line 163: | Line 163: | ||
− | <p class="my-content-p">The | + | <p class="my-content-p">The result of G-protein cycle’s activation was shown below (Fig. 12). According to the figure, we indicated that our system could transduce upstream signal accurately.</p> |
<div class="my-content-box"> | <div class="my-content-box"> | ||
<img class="formula50" src="https://static.igem.org/mediawiki/2017/6/62/T--BIT-China--2017modeling_pic12.png" /> | <img class="formula50" src="https://static.igem.org/mediawiki/2017/6/62/T--BIT-China--2017modeling_pic12.png" /> | ||
− | <span>Fig. 12. The | + | <span>Fig. 12. The result of G-protein cycle’s activation under the different concentration of ligand</span> |
</div> | </div> | ||
− | + | ||
− | <h4 class="title-h4">The | + | <h4 class="title-h4">The cascade reaction of MAPK:</h4> |
<div class="my-content-box"> | <div class="my-content-box"> | ||
− | <img class="formula50" src="https://static.igem.org/mediawiki/2017/ | + | <img class="formula50" src="https://static.igem.org/mediawiki/2017/9/9d/T-BIT-China-2017MODEL-19.png" /> |
− | <span>Fig. 13 The | + | <span>Fig. 13 The cascade reaction of MAPK</span> |
</div> | </div> | ||
<div class="my-content-box"> | <div class="my-content-box"> | ||
− | <p class="my-content-p"> | + | <p class="my-content-p">All proteins in this part belong to the category of kinase and the signal was transmitted through phosphorylation. Finally, Fus3 activates the expression of Ste12 which was regarded as the output of this part. And all equations in this process were listed as follow:</p> |
− | <img class="formula2" src="https://static.igem.org/mediawiki/2017/ | + | <img class="formula2" src="https://static.igem.org/mediawiki/2017/4/45/T--BIT-China--2017formula_pic3.png" alt=""> |
</div> | </div> | ||
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− | + | <p class="my-content-p">(The parameters of this part were listed in Table 3)</p> | |
− | <p class="my-content-p">The parameters of this part | + | |
<div class="my-img-box" style="justify-content: flex-start;"> | <div class="my-img-box" style="justify-content: flex-start;"> | ||
<table class="table-co"> | <table class="table-co"> | ||
− | <caption>Table 3. The value of | + | <caption>Table 3. The value of parameters in cascade reaction of MAPK</caption> |
<thead> | <thead> | ||
<tr> | <tr> | ||
Line 198: | Line 197: | ||
<th>Description</th> | <th>Description</th> | ||
<th>Value</th> | <th>Value</th> | ||
− | + | ||
</tr> | </tr> | ||
</thead> | </thead> | ||
Line 204: | Line 203: | ||
<tr> | <tr> | ||
<td>k<sub>7</sub></td> | <td>k<sub>7</sub></td> | ||
− | <td>Rate constant of G<sub>βγ</sub> bind with Ste5</td> | + | <td>Rate constant of G<sub>βγ</sub>'s bind with Ste5</td> |
<td>0.1</td> | <td>0.1</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>k<sub>8</sub></td> | <td>k<sub>8</sub></td> | ||
− | <td>Rate constant of G<sub>βγ</sub> unbind with Ste5</td> | + | <td>Rate constant of G<sub>βγ</sub>'s unbind with Ste5</td> |
<td>5</td> | <td>5</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>k<sub>9</sub></td> | <td>k<sub>9</sub></td> | ||
− | <td>Rate constant of Ste11 Phosphorylated</td> | + | <td>Rate constant of Ste11's Phosphorylated</td> |
<td>10</td> | <td>10</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>k<sub>10</sub></td> | <td>k<sub>10</sub></td> | ||
− | <td>Rate constant of Ste7 double Phosphorylated</td> | + | <td>Rate constant of Ste7's double Phosphorylated</td> |
<td>47</td> | <td>47</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>k<sub>11</sub></td> | <td>k<sub>11</sub></td> | ||
− | <td>Rate constant of Fus3 double Phosphorylated</td> | + | <td>Rate constant of Fus3's double Phosphorylated</td> |
<td>345</td> | <td>345</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>k<sub>12</sub></td> | <td>k<sub>12</sub></td> | ||
− | <td>Rate constant of double Phosphorylated Fus3 dissociation.</td> | + | <td>Rate constant of double Phosphorylated Fus3's dissociation.</td> |
<td>140</td> | <td>140</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>k<sub>13</sub></td> | <td>k<sub>13</sub></td> | ||
− | <td>Rate constant of double Phosphorylated Fus3 synthesis.</td> | + | <td>Rate constant of double Phosphorylated Fus3's synthesis.</td> |
<td>260</td> | <td>260</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>k<sub>14</sub></td> | <td>k<sub>14</sub></td> | ||
− | <td>Rate constant of Fus3 dephosphorylated</td> | + | <td>Rate constant of Fus3's dephosphorylated</td> |
<td>50</td> | <td>50</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>k<sub>15</sub></td> | <td>k<sub>15</sub></td> | ||
− | <td>Rate constant of double pp-Fus3 bind with Ste12</td> | + | <td>Rate constant of double pp-Fus3's bind with Ste12</td> |
<td>18</td> | <td>18</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>k<sub>16</sub></td> | <td>k<sub>16</sub></td> | ||
− | <td>Rate constant of double pp-Fus3 unbind with Ste12</td> | + | <td>Rate constant of double pp-Fus3's unbind with Ste12</td> |
<td>10</td> | <td>10</td> | ||
− | + | ||
</tr> | </tr> | ||
</tbody> | </tbody> | ||
Line 269: | Line 268: | ||
− | <p class="my-content-p">The | + | <p class="my-content-p">The result of the cascade reaction of MAPK was shown as follow (Fig. 14).</p> |
<div class="my-content-box"> | <div class="my-content-box"> | ||
<img class="formula50" src="https://static.igem.org/mediawiki/2017/4/4e/T--BIT-China--2017modeling_pic14.png" /> | <img class="formula50" src="https://static.igem.org/mediawiki/2017/4/4e/T--BIT-China--2017modeling_pic14.png" /> | ||
− | <span>Fig. 14 The | + | <span>Fig. 14 The result of Ste12’s activation under the different concentration of ligand</span> |
</div> | </div> | ||
− | <h4 class="title-h4">Expression of mRFP | + | <h4 class="title-h4">4. Expression of mRFP:</h4> |
<div class="my-content-box"> | <div class="my-content-box"> | ||
− | <img class="formula50" src="https://static.igem.org/mediawiki/2017/ | + | <img class="formula50" src="https://static.igem.org/mediawiki/2017/8/80/T-BIT-China-2017MODEL-20.png" /> |
− | <span>Fig. | + | <span>Fig. 15 The process of RFP’s expression</span> |
</div> | </div> | ||
<div class="my-content-box"> | <div class="my-content-box"> | ||
− | <p class="my-content-p"> | + | <p class="my-content-p">Ste12 could accept signal from upstream pathway, it leads to the activation of relevant promoter <i>P<sub>fus</sub></i> and expression of downstream gene. There we regarded the expression of RFP as the output. The equations in this process were listed as follow:</p> |
− | <img class="formula2" src="https://static.igem.org/mediawiki/2017/ | + | <img class="formula2" src="https://static.igem.org/mediawiki/2017/f/fa/T--BIT-China--2017formula_pic4.png" alt=""> |
</div> | </div> | ||
Line 291: | Line 290: | ||
− | <p class="my-content-p">The parameters of this part | + | <p class="my-content-p"> (The parameters of this part were listed in Table 4)</p> |
<div class="my-img-box" style="justify-content: flex-start;"> | <div class="my-img-box" style="justify-content: flex-start;"> | ||
<table class="table-co"> | <table class="table-co"> | ||
− | <caption>Table 4. The value of | + | <caption>Table 4. The value of parameters in RFP expression</caption> |
<thead> | <thead> | ||
<tr> | <tr> | ||
Line 300: | Line 299: | ||
<th>Description</th> | <th>Description</th> | ||
<th>Value</th> | <th>Value</th> | ||
− | + | ||
</tr> | </tr> | ||
</thead> | </thead> | ||
Line 308: | Line 307: | ||
<td>Rate constant of mRFP_mRNA Synthetize</td> | <td>Rate constant of mRFP_mRNA Synthetize</td> | ||
<td>0.382</td> | <td>0.382</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
Line 314: | Line 313: | ||
<td>Rate constant of mRFP_mRNA Degradation</td> | <td>Rate constant of mRFP_mRNA Degradation</td> | ||
<td>8.39</td> | <td>8.39</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
Line 320: | Line 319: | ||
<td>Rate constant of nascent RFP synthetize</td> | <td>Rate constant of nascent RFP synthetize</td> | ||
<td>0.012</td> | <td>0.012</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
Line 326: | Line 325: | ||
<td>Rate constant of mature mRFP synthetize</td> | <td>Rate constant of mature mRFP synthetize</td> | ||
<td>0.0012</td> | <td>0.0012</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
Line 332: | Line 331: | ||
<td>Rate constant of mature mRFP degradation</td> | <td>Rate constant of mature mRFP degradation</td> | ||
<td>0.018</td> | <td>0.018</td> | ||
− | + | ||
</tr> | </tr> | ||
</tbody> | </tbody> | ||
Line 342: | Line 341: | ||
<h4 class="title-h4">Result </h4> | <h4 class="title-h4">Result </h4> | ||
− | <p class="my-content-p"> | + | <p class="my-content-p"> Integrating four models of each block, we obtained completed result about signal transduction in single cell. The result was shown as follow (Fig. 16).</p> |
<div class="my-content-box"> | <div class="my-content-box"> | ||
<img class="formula50" src="https://static.igem.org/mediawiki/2017/0/0d/T--BIT-China--2017modeling_pic16.png" /> | <img class="formula50" src="https://static.igem.org/mediawiki/2017/0/0d/T--BIT-China--2017modeling_pic16.png" /> | ||
− | <span>Fig. 16. The | + | <span>Fig. 16. The result of RFP intensity under different concentration ligand |
+ | Our modeling result exhibited that different concentration of ligand could result in different RFP intensity, which demonstrated that our system could response to the different signal strength specifically. And it also demonstrated that our system could work in a single cell in theory.</span> | ||
</div> | </div> | ||
− | |||
</div> | </div> | ||
− | |||
Line 356: | Line 354: | ||
<h3 class="title-h3">Yeast growth model</h3> | <h3 class="title-h3">Yeast growth model</h3> | ||
<h4 class="title-h4">Purpose</h4> | <h4 class="title-h4">Purpose</h4> | ||
− | <p class="my-content-p">After | + | <p class="my-content-p">After constructing the model of signal transduction in a single cell, we considered to combine single cell model with the growth of yeast to simulate our system’s practical condition. So in this part, we looked forward to construct a simple model to describe the growth of yeast cells and provided some bases to the next step. </p> |
<h4 class="title-h4">Method </h4> | <h4 class="title-h4">Method </h4> | ||
<h5 class="title-h5">Practical data measurement</h5> | <h5 class="title-h5">Practical data measurement</h5> | ||
− | <p class="my-content-p"> | + | <p class="my-content-p">We refered the model established by Imperial College 2016. This model was used to describe the growth condition of two kinds of cell which are competitive in a limit culture. </p> |
− | < | + | <p class="my-content-p">We re-proposed some hypotheses to fit our system. </p> |
− | + | ||
− | + | ||
− | + | ||
− | + | <li class="my-content-li2">1. The condition of cell was divided into two states, activated and non-activated, and there is no conversion between two states. Each state of cell consume the nutrition independently.</li> | |
− | + | <li class="my-content-li2">2. Only the activated state could combine sweetener.</li> | |
− | + | <li class="my-content-li2">3. The nutrition in culture was limited.</li> | |
− | <li class="my-content-li2">1. The condition of cell | + | <li class="my-content-li2">4. Each group cell had same growth condition. </li> |
− | <li class="my-content-li2">2. Only the state | + | |
− | <li class="my-content-li2">3. The nutrition in culture | + | |
− | <li class="my-content-li2">4. | + | |
<div class="my-content-box"> | <div class="my-content-box"> | ||
<p class="my-content-p">Then we set the ODEs as following:</p> | <p class="my-content-p">Then we set the ODEs as following:</p> | ||
− | <img class="formula2" src="https://static.igem.org/mediawiki/2017/ | + | <img class="formula2" src="https://static.igem.org/mediawiki/2017/e/ef/T--BIT-China--2017formula_pic5.png" alt=""> |
</div> | </div> | ||
+ | <p class="my-content-p">(The parameters of this model were listed in Table 5)</p> | ||
− | |||
<div class="my-img-box" style="justify-content: flex-start;"> | <div class="my-img-box" style="justify-content: flex-start;"> | ||
<table class="table-co"> | <table class="table-co"> | ||
Line 388: | Line 381: | ||
<th>Description</th> | <th>Description</th> | ||
<th>Value</th> | <th>Value</th> | ||
− | + | ||
</tr> | </tr> | ||
</thead> | </thead> | ||
Line 408: | Line 401: | ||
<td>Culture time for non-active yeast</td> | <td>Culture time for non-active yeast</td> | ||
<td>30</td> | <td>30</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
Line 414: | Line 407: | ||
<td>Culture time for active yeast</td> | <td>Culture time for active yeast</td> | ||
<td>30</td> | <td>30</td> | ||
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
Line 431: | Line 424: | ||
</table> | </table> | ||
</div> | </div> | ||
− | |||
<h4 class="title-h4">Result </h4> | <h4 class="title-h4">Result </h4> | ||
− | <p class="my-content-p">The result of yeast growth model | + | <p class="my-content-p">The result of yeast growth model was showed as follow. (Fig. 17)</p> |
<div class="my-content-box"> | <div class="my-content-box"> | ||
− | <img class="formula50" src="https://static.igem.org/mediawiki/2017/ | + | <img class="formula50" src="https://static.igem.org/mediawiki/2017/9/9d/T-BIT-China-2017MODEL-21.png" /> |
− | <span>Fig. | + | <span>Fig. 17 The result of yeast cell growth model</span> |
</div> | </div> | ||
<h4 class="title-h4">Discussion </h4> | <h4 class="title-h4">Discussion </h4> | ||
− | <p class="my-content-p"> | + | <p class="my-content-p">Analyzing the trend of the curve, it shown that our model can simulate the growth of yeast in some certain condition. And we considered activated cell as effective bio-meter in our project. </p> |
</div> | </div> | ||
Line 449: | Line 441: | ||
<div class="cd-section" id="Combination"> | <div class="cd-section" id="Combination"> | ||
<h3 class="title-h3">Combination Model coupling single cell and yeast growth</h3> | <h3 class="title-h3">Combination Model coupling single cell and yeast growth</h3> | ||
− | <p class="my-content-p"> | + | <p class="my-content-p">Based on the above results, we combined these two models together to simulate the performance of whole system in population level. We multiplied the value of Yeast<sub>active</sub> and the value of RFP<sub>mature</sub> directly. </p> |
− | < | + | <img class="formula2" style="margin-top: -50px; margin-bottom: -60px" src="https://static.igem.org/mediawiki/2017/8/82/T--BIT-China--2017modeling_pic27.png" alt=""> |
− | <p class="my-content-p">And we | + | <p class="my-content-p">And we altered some parameters to fit the experimental data.</p> |
− | + | ||
− | + | <p class="my-content-p">The result of this combined model was shown below (Fig. 18).</p> | |
− | + | ||
− | + | ||
<div class="my-content-box"> | <div class="my-content-box"> | ||
<img class="formula50" src="https://static.igem.org/mediawiki/2017/b/ba/T--BIT-China--2017modeling_pic19.png" /> | <img class="formula50" src="https://static.igem.org/mediawiki/2017/b/ba/T--BIT-China--2017modeling_pic19.png" /> | ||
− | <span>Fig. | + | <span>Fig. 18 The simulation result of RFP intensity in population level.</span> |
</div> | </div> | ||
<h4 class="title-h4">Discussion</h4> | <h4 class="title-h4">Discussion</h4> | ||
− | <p class="my-content-p">Combining two models, we | + | <p class="my-content-p">Combining two models, we discovered that the RFP intensity is almost the same as base line (value is 0) at the beginning. And after 15 hours, the fluorescence intensity were reflected from single cell level to population level. because the cells entered into stationary phase. </p> |
− | <p class="my-content-p">As for the curve after 22 hours, the RFP intensity starts to decrease slowly in all ligand concentration. It may due to the death of cells.</p> | + | <p class="my-content-p">As for the curve after 22 hours, the RFP intensity starts to decrease slowly in all ligand concentration. It may due to the death of cells. </p> |
− | <p class="my-content-p">We decided to select the RFP intensity at 22 hours as the final output value of sweetness signal based on our model. In order to avoid the cell growth impacts the RFP intensity, we selected this specific moment as the sampling time.</p> | + | <p class="my-content-p">We decided to select the RFP intensity at 22 hours as the final output value of sweetness signal based on our model. In order to avoid the cell growth impacts the RFP intensity, we selected this specific moment as the sampling time. </p> |
</div> | </div> | ||
Line 471: | Line 463: | ||
<div class="cd-section" id="SWEETENER"> | <div class="cd-section" id="SWEETENER"> | ||
− | <h3 class="title-h3"> | + | <h3 class="title-h3">SWEETENESS MODEL</h3> |
<h4 class="title-h4">Purpose</h4> | <h4 class="title-h4">Purpose</h4> | ||
− | <p class="my-content-p">We | + | <p class="my-content-p">We expected to set a model based on our above model to simulate the RFP intensity of sweetener. Make a comparison between the results of simulation and practical measurement, Our system could not only work like people gustatory sensation system with universality but also is more accurate and less interference than people. </p> |
<h4 class="title-h4">Method </h4> | <h4 class="title-h4">Method </h4> | ||
− | <p class="my-content-p">Although we | + | <p class="my-content-p">Although we finished the GPCR model, the combination rate between the sweetener and receptor had not reported or measured yet. So we needed to measure this data from wet lab.</p> |
− | <p class="my-content-p">But because of the instability of our system, we only got a useful group of data. | + | <p class="my-content-p">But because of the instability of our system, we only got a useful group of data. More discussion was established in Project Page. The result was shown (Table 6). Then we utilized these values to optimize our pheromone model.</p> |
<div class="my-img-box" style="justify-content: flex-start;"> | <div class="my-img-box" style="justify-content: flex-start;"> | ||
Line 511: | Line 503: | ||
− | <p class="my-content-p"> | + | <p class="my-content-p">Analyzing previous methods of sweetness measurement, we made two assumptions for this sweetness model:</p> |
− | <li class="my-content-li2">1. Sweetness of all sweeteners | + | <li class="my-content-li2">1. Sweetness of all sweeteners could be transformed into the different concentration of standard sucrose (10% dissolving in water) with the same sweetness.</li> |
<li class="my-content-li2">2. The bind between different ligands and GPCR will not impact signal transduction in pheromone pathway.</li> | <li class="my-content-li2">2. The bind between different ligands and GPCR will not impact signal transduction in pheromone pathway.</li> | ||
− | |||
<p class="my-content-p">Based on these, the most significant work is to find out the RFP intensity corresponding to the standard sucrose.</p> | <p class="my-content-p">Based on these, the most significant work is to find out the RFP intensity corresponding to the standard sucrose.</p> | ||
− | <p class="my-content-p">Combining the | + | <p class="my-content-p">Combining the experimental data, we made a simple calculation and got the RFP intensity of standard sweetness amounting to the fluorescence intensity induced by 750nM ideal ligand in our model. </p> |
<div class="my-content-box"> | <div class="my-content-box"> | ||
− | <img | + | <img style="width: 50%; height: auto;" src="https://static.igem.org/mediawiki/2017/a/ac/T-BIT-China-2017MODEL-22.png" /> |
− | <span>Fig. 20. The | + | <span>Fig. 20. The relationship between sweetness and ideal ligand</span> |
</div> | </div> | ||
<div class="my-content-box"> | <div class="my-content-box"> | ||
− | <p class="my-content-p">We | + | <p class="my-content-p">We set a correction factor K<sub>corret</sub>=750 on calculation result. Then we reset the input according to following equation:</p> |
<img class="formula2" src="https://static.igem.org/mediawiki/2017/d/da/T--BIT-China--2017modeling_pic28.png" alt=""> | <img class="formula2" src="https://static.igem.org/mediawiki/2017/d/da/T--BIT-China--2017modeling_pic28.png" alt=""> | ||
</div> | </div> | ||
− | <p class="my-content-p">Then we | + | <p class="my-content-p">Then we prefered to predict different sweetness of sweetener. The sweetness data was obtained from previous study<sup>[7]</sup>. (Table 7.) </p> |
<div class="my-img-box" style="justify-content: flex-start;"> | <div class="my-img-box" style="justify-content: flex-start;"> | ||
<table class="table-co"> | <table class="table-co"> | ||
Line 580: | Line 571: | ||
<h4 class="title-h4">Result </h4> | <h4 class="title-h4">Result </h4> | ||
− | <p class="my-content-p">The result of | + | <p class="my-content-p">The result of simulated RFP intensity induced by different sweeteners was shown in Fig. 20.</p> |
<div class="my-content-box"> | <div class="my-content-box"> | ||
<img class="formula50" src="https://static.igem.org/mediawiki/2017/b/b9/T--BIT-China--2017modeling_pic21.png" /> | <img class="formula50" src="https://static.igem.org/mediawiki/2017/b/b9/T--BIT-China--2017modeling_pic21.png" /> | ||
− | <span>Fig. 21. The | + | <span>Fig. 21. The modeling result of RFP intensity induced by different sweeteners</span> |
</div> | </div> | ||
<h4 class="title-h4">Discussion </h4> | <h4 class="title-h4">Discussion </h4> | ||
− | <p class="my-content-p"> | + | |
− | + | <p class="my-content-p">After 22 hours, the peak of all curve were displayed as the pheromone model. And different sweetness also could induce different fluorescence intensity. But this model still need optimization in further, based on the following aspects:</p> | |
− | <li class="my-content-li2">(1) Through | + | <li class="my-content-li2">(1) Through molecular simulation to discover the combination constant of sweetener binding process.</li> |
<li class="my-content-li2">(2) The correct factor is to be considered the molecular weight, binding sites and combination numbers of the sweetener.</li> | <li class="my-content-li2">(2) The correct factor is to be considered the molecular weight, binding sites and combination numbers of the sweetener.</li> | ||
− | <li class="my-content-li2">(3) Combine the protein expression and cells growth together. Consider the | + | <li class="my-content-li2">(3) Combine the protein expression and cells growth together. Consider the interaction between two models. </li> |
</div> | </div> | ||
Line 598: | Line 589: | ||
<div class="cd-section" id="SUMMARY"> | <div class="cd-section" id="SUMMARY"> | ||
<h3 class="title-h3">SUMMARY</h3> | <h3 class="title-h3">SUMMARY</h3> | ||
− | <p class="my-content-p"> | + | <p class="my-content-p">Based on our models, we successfully got following results:</p> |
− | <li class="my-content-li2">1. We simulated the | + | <li class="my-content-li2">1. We simulated the structure of T1R2/T1R3 receptor and bound it with different sweeteners to observe the combining situation of different sweeteners through molecular docking. </li> |
− | <li class="my-content-li2">2. We | + | <li class="my-content-li2">2. We constructed the signal transduction model to simulate pheromone response pathway in two different levels and proved that our system could work as we expected. </li> |
− | <li class="my-content-li2">3. We also | + | <li class="my-content-li2">3. We also provided an ideal relationship between RFP intensity and sweetness based on the wet lab data and our signal transduction model , which also demonstrated that our system could detect different range of sweetness. |
− | + | Although sweeteners are various, but we still can taste all of them and sense different sweetness due to the powerful sweetness receptors, T1R2/T1R3. Based on our model, we successfully proved that using sweetness receptor as a “meter” and coupling the signal pathway to determine the sweetness in yeast cell is available. Last, let’s set foot on the trip of beating sweet-monsters in parallel space with our </li> | |
+ | |||
− | + | ||
− | <p class="my-content-p"> | + | <p class="my-content-p">Sugar Hunter!!!</p> |
<h4 class="title-h4">References</h4> | <h4 class="title-h4">References</h4> | ||
− | <li class="my-content-li2">1. Dubois G E. Molecular mechanism of sweetness sensation.[J]. Physiology & Behavior, 2016, 164(Pt B):453.</li> | + | <li class="my-content-li2"><span>1. Dubois G E. Molecular mechanism of sweetness sensation.[J]. Physiology & Behavior, 2016, 164(Pt B):453.</span></li> |
− | <li class="my-content-li2">2. | + | <li class="my-content-li2"><span>2. Nie Y, Vigues S, Hobbs J R, et al. Distinct contributions of T1R2 and T1R3 taste receptor subunits to the detection of sweet stimuli.[J]. Current Biology Cb, 2005, 15(21):1948-52.</span></li> |
− | <li class="my-content-li2">3. Richardson, Kathryn. Mechanisms of GPCR signal regulation in fission yeast[J]. University of Warwick, 2014.</li> | + | <li class="my-content-li2"><span>3. Richardson, Kathryn. Mechanisms of GPCR signal regulation in fission yeast[J]. University of Warwick, 2014.</span></li> |
− | <li class="my-content-li2">4. | + | <li class="my-content-li2"><span>4. Kofahl B, Klipp E. Modelling the dynamics of the yeast pheromone pathway.[J]. Yeast, 2004, 21(10):831.</span></li> |
− | <li class="my-content-li2">5. Audet M, Bouvier M. Restructuring G-Protein- Coupled Receptor Activation [J]. Cell, 2012, 151(1):14-23.</li> | + | <li class="my-content-li2"><span>5. Audet M, Bouvier M. Restructuring G-Protein- Coupled Receptor Activation [J]. Cell, 2012, 151(1):14-23.</span></li> |
+ | <li class="my-content-li2"><span>6. Carocho M, Morales P, Icfr F. Sweeteners as food additives in the XXI century: A review of what is known, and what is to come[J]. Food & Chemical Toxicology An International Journal Published for the British Industrial Biological Research Association, 2017, 107.</span></li> | ||
</div> | </div> | ||
+ | |||
<div class="article-nav"> | <div class="article-nav"> | ||
<a href="https://2017.igem.org/Team:BIT-China/Model/Docking" class="article-nav-left2"> | <a href="https://2017.igem.org/Team:BIT-China/Model/Docking" class="article-nav-left2"> | ||
<img class="article-caption" src="https://static.igem.org/mediawiki/2017/a/a4/T--BIT-China--2017previous.png" alt=""> | <img class="article-caption" src="https://static.igem.org/mediawiki/2017/a/a4/T--BIT-China--2017previous.png" alt=""> | ||
</a> | </a> | ||
+ | <div style="clear: both;"></div> | ||
</div> | </div> | ||
</section> | </section> |
Latest revision as of 13:50, 1 November 2017
Mating pheromone pathway model
We expected to use mRFP intensity to predict the sweetness based on our system. So we needed an insight into relationship between mRFP and sweetness. But lots of factor can impact the signal output so that we decided to divide our system into two parts, single cell model and yeast growth model.
Single cell model
Purpose
To simulate RFP intensity under different sweetness, we needed to set a model in a single cell firstly. By establishing this model, we could learn about how the sweetness signal transmit in the in yeast coupling pheromone pathway[3], and know each step of the signal transmit in detail, which provides supports for regulating the signal and improving our bio-meter.
Single cell model:
In single cell model, we pay main attention to the signal transduction in pheromone pathway based on[4].And in order to simulate the signal transduction in mathematical way conveniently, we set some hypothesizes of this model:
Method and discussion
In order to simulate our project systematically, we divided our whole system into four blocks: (a) the activation of T1R2/T1R3 receptor; (b) the activation of G-protein cycle; (c) the cascade reaction of MAPK; and (d) the expression of RFP. And the simulating process and result of each part were shown below.
1. The activation of T1R2/T1R3 receptor:
In this process, T1R2/T1R3 receptor has four different states. And the receptor transfer between these states under the different sweetener-binding conditions. The equations of this process were shown as follow:
Parameter | Description | Value |
---|---|---|
k1 | Rate constant of sweetness binding on receptor | 0.0012 |
k2 | Rate constant of activated receptor | 0.6 |
k3 | Rate constant of downregulated receptor | 0.24 |
k4 | Rate constant of receptor degradation | 0.024 |
The result of T1R2/T1R3 receptor’s activation was shown below(Fig. 10). It demonstrated that T1R2/T1R3 receptor could respond to different concentration of ligand.
2. The activation of G-protein cycle:
After upstream signal was produced, the activated G exchanges GTP in place of GDP[5]. Then the G and Gβγ dimer are dissociated from receptor and then active downstream pathway. Here, we selected the Gβγ dimer as the output of this part. And the equations of this process were listed as follow:
(The parameters of this part were listed in Table 2)
Parameter | Description | Value |
---|---|---|
k5 | Rate constant of Gαβγ's dissociated | 0.0036 |
k6 | Rate constant of Gαβγ's Synthetized | 2000 |
k7 | Rate constant of Gβγ's bind with Ste5 | 0.1 |
k8 | Rate constant of Gβγ's unbind with Ste5 | 5 |
The result of G-protein cycle’s activation was shown below (Fig. 12). According to the figure, we indicated that our system could transduce upstream signal accurately.
The cascade reaction of MAPK:
All proteins in this part belong to the category of kinase and the signal was transmitted through phosphorylation. Finally, Fus3 activates the expression of Ste12 which was regarded as the output of this part. And all equations in this process were listed as follow:
(The parameters of this part were listed in Table 3)
Parameter | Description | Value |
---|---|---|
k7 | Rate constant of Gβγ's bind with Ste5 | 0.1 |
k8 | Rate constant of Gβγ's unbind with Ste5 | 5 |
k9 | Rate constant of Ste11's Phosphorylated | 10 |
k10 | Rate constant of Ste7's double Phosphorylated | 47 |
k11 | Rate constant of Fus3's double Phosphorylated | 345 |
k12 | Rate constant of double Phosphorylated Fus3's dissociation. | 140 |
k13 | Rate constant of double Phosphorylated Fus3's synthesis. | 260 |
k14 | Rate constant of Fus3's dephosphorylated | 50 |
k15 | Rate constant of double pp-Fus3's bind with Ste12 | 18 |
k16 | Rate constant of double pp-Fus3's unbind with Ste12 | 10 |
The result of the cascade reaction of MAPK was shown as follow (Fig. 14).
4. Expression of mRFP:
Ste12 could accept signal from upstream pathway, it leads to the activation of relevant promoter Pfus and expression of downstream gene. There we regarded the expression of RFP as the output. The equations in this process were listed as follow:
(The parameters of this part were listed in Table 4)
Parameter | Description | Value |
---|---|---|
k17 | Rate constant of mRFP_mRNA Synthetize | 0.382 |
k18 | Rate constant of mRFP_mRNA Degradation | 8.39 |
k19 | Rate constant of nascent RFP synthetize | 0.012 |
k20 | Rate constant of mature mRFP synthetize | 0.0012 |
k21 | Rate constant of mature mRFP degradation | 0.018 |
Result
Integrating four models of each block, we obtained completed result about signal transduction in single cell. The result was shown as follow (Fig. 16).
Yeast growth model
Purpose
After constructing the model of signal transduction in a single cell, we considered to combine single cell model with the growth of yeast to simulate our system’s practical condition. So in this part, we looked forward to construct a simple model to describe the growth of yeast cells and provided some bases to the next step.
Method
Practical data measurement
We refered the model established by Imperial College 2016. This model was used to describe the growth condition of two kinds of cell which are competitive in a limit culture.
We re-proposed some hypotheses to fit our system.
Then we set the ODEs as following:
(The parameters of this model were listed in Table 5)
Parameter | Description | Value | |
---|---|---|---|
r1 | Rate of non-active yeast growth | 1 | |
r2 | Rate of active yeast growth | 2 | |
n1 | Culture time for non-active yeast | 30 | |
n2 | Culture time for active yeast | 30 | |
s1 | Rate constant of nutrition consumption for non-active yeast | 0.45 | |
s2 | Rate constant of nutrition consumption for active yeast | 2 |
Result
The result of yeast growth model was showed as follow. (Fig. 17)
Discussion
Analyzing the trend of the curve, it shown that our model can simulate the growth of yeast in some certain condition. And we considered activated cell as effective bio-meter in our project.
Combination Model coupling single cell and yeast growth
Based on the above results, we combined these two models together to simulate the performance of whole system in population level. We multiplied the value of Yeastactive and the value of RFPmature directly.
And we altered some parameters to fit the experimental data.
The result of this combined model was shown below (Fig. 18).
Discussion
Combining two models, we discovered that the RFP intensity is almost the same as base line (value is 0) at the beginning. And after 15 hours, the fluorescence intensity were reflected from single cell level to population level. because the cells entered into stationary phase.
As for the curve after 22 hours, the RFP intensity starts to decrease slowly in all ligand concentration. It may due to the death of cells.
We decided to select the RFP intensity at 22 hours as the final output value of sweetness signal based on our model. In order to avoid the cell growth impacts the RFP intensity, we selected this specific moment as the sampling time.
SWEETENESS MODEL
Purpose
We expected to set a model based on our above model to simulate the RFP intensity of sweetener. Make a comparison between the results of simulation and practical measurement, Our system could not only work like people gustatory sensation system with universality but also is more accurate and less interference than people.
Method
Although we finished the GPCR model, the combination rate between the sweetener and receptor had not reported or measured yet. So we needed to measure this data from wet lab.
But because of the instability of our system, we only got a useful group of data. More discussion was established in Project Page. The result was shown (Table 6). Then we utilized these values to optimize our pheromone model.
Group Name | RFP intensity/ unit |
---|---|
2% Sucrose | 42.5 |
0% Sucrose (Control) | 27.5 |
Analyzing previous methods of sweetness measurement, we made two assumptions for this sweetness model:
Based on these, the most significant work is to find out the RFP intensity corresponding to the standard sucrose.
Combining the experimental data, we made a simple calculation and got the RFP intensity of standard sweetness amounting to the fluorescence intensity induced by 750nM ideal ligand in our model.
We set a correction factor Kcorret=750 on calculation result. Then we reset the input according to following equation:
Then we prefered to predict different sweetness of sweetener. The sweetness data was obtained from previous study[7]. (Table 7.)
Sweetener | Sweetness |
---|---|
Sucrose | 1 |
Aspartame | 200 |
Stevioside | 150 |
Sucralose | 600 |
Glycyrrhizic acid | 170 |
Acesulfame | 200 |
Cyclamate | 30 |
Result
The result of simulated RFP intensity induced by different sweeteners was shown in Fig. 20.
Discussion
After 22 hours, the peak of all curve were displayed as the pheromone model. And different sweetness also could induce different fluorescence intensity. But this model still need optimization in further, based on the following aspects:
SUMMARY
Based on our models, we successfully got following results:
Sugar Hunter!!!
References