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− | <h1 class="tab-h1" ><strong> | + | <h1 class="tab-h1" ><strong>「Attributions」</strong></h1> |
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− | <li class="active"><a href="#section1"> | + | <li class="active"><a href="#section1">Overview</a></li> |
− | <li><a href="#section2"> | + | <li><a href="#section2">Assumptions</a></li> |
− | <li><a href="#section3"> | + | <li><a href="#section3">Constant & Parameter</a></li> |
+ | <li><a href="#section4">Basical Diffusion</a></li> | ||
+ | <li><a href="#section5">Recycling</a></li> | ||
+ | <li><a href="#section6">Sensing and Capture</a></li> | ||
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− | <h3 style="background-color:#ce6b9a;color:#ffffff; padding:10px;letter-spacing:1px;margin-top:0;"> | + | <h3 style="background-color:#ce6b9a;color:#ffffff; padding:10px;letter-spacing:1px;margin-top:0;">Overview </h3> |
− | <p> | + | <p>We build an ecosystem level model, in order to see how the Reebot diffuse, sense and capture the lanthanide ion, and be recycled on Si-board. Then we can determine how should we release Reebot, how to recycle the Reebot and how much Reebot do we need to produce the best result. The ecosystem could derive the best strategy to make full use of Reebot. |
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+ | <div id="section2" style="border: solid 1px #666; margin:5px;border-radius:10px;overflow: hidden;"> | ||
+ | <h3 style="background-color:#ce6b9a;color:#ffffff; padding:10px;letter-spacing:1px; margin-top:0;">Assumptions</h3> | ||
+ | <p>The variability of temperature has no effect on our Reebot or it could be ignored.</p> | ||
+ | <p>Liquid in the container is stationary.</p> | ||
+ | <p>There is nothing else in the container which can influence Reebot.</p> | ||
+ | </div> | ||
− | <div class="table-responsive" style="padding: 10px 100px; text-align: center; font-size:14px;"> | + | <div id="section3" style="border: solid 1px #666; margin:5px;border-radius:10px;overflow: hidden;"> |
− | <table class="table"> | + | <h3 style="background-color:#ce6b9a;color:#ffffff; padding:10px;letter-spacing:1px; margin-top:0;">Constant & Parameter</h3> |
+ | <p>The description of constant, their values and the references involved in this model are listed in this table.</p> | ||
+ | |||
+ | <div class="table-responsive " style="padding: 10px 100px; text-align: center; font-size:14px;"> | ||
+ | <table class="table table-hover"> | ||
<thead> | <thead> | ||
<tr> | <tr> | ||
− | <th style="text-align: center;"> | + | <th style="text-align: center;">Constant </th> |
− | <th style="text-align: center;"> | + | <th style="text-align: center;">Description</th> |
− | + | ||
</tr> | </tr> | ||
</thead> | </thead> | ||
+ | |||
+ | |||
<tbody> | <tbody> | ||
<tr> | <tr> | ||
− | <td> | + | <td>f<sub>1</sub></td> |
− | + | <td>concentration of Initially Bacteria</td> | |
− | <td> | + | |
</tr> | </tr> | ||
<tr> | <tr> | ||
− | + | <td>f<sub>2</sub></td> | |
− | + | <td>concentration of Lanthanide ion</td> | |
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
− | + | <td>f<sub>3</sub></td> | |
− | + | <td>concentration of Sensed Bacteria</td> | |
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
− | + | <td>f<sub>4</sub></td> | |
− | + | <td>concentration of Captured Bacteria</td> | |
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
− | + | <td>f<sub>5</sub></td> | |
− | + | <td>concentration of recycled sensed bacteria </td> | |
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
− | + | <td>f<sub>6</sub></td> | |
− | + | <td>concentration of recycled captured bacteria </td> | |
− | + | ||
</tr> | </tr> | ||
+ | </tbody> | ||
+ | </table> | ||
+ | </div> | ||
+ | <p>The description of parameter, their values and the references involved in this model are listed in the second table.</p> | ||
+ | <div class="table-responsive " style="padding: 10px 100px; text-align: center; font-size:14px;"> | ||
+ | <table class="table table-hover"> | ||
+ | <thead> | ||
+ | <tr> | ||
+ | <th style="text-align: center;">Parameter</th> | ||
+ | <th style="text-align: center;">Description</th> | ||
+ | </tr> | ||
+ | </thead> | ||
+ | |||
+ | <tbody> | ||
<tr> | <tr> | ||
− | <td> | + | <td>dif</td> |
− | + | <td>the diffuse ability of bacteria</td> | |
− | <td> | + | |
</tr> | </tr> | ||
<tr> | <tr> | ||
− | + | <td>difl</td> | |
− | + | <td>the diffuse ability of lanthanide ion</td> | |
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
− | + | <td>deadp</td> | |
− | + | <td>dead/birth per minute of bacteria</td> | |
− | + | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
− | + | <td>vlcx</td> | |
− | + | <td>velocity of movement on x label</td> | |
− | + | ||
</tr> | </tr> | ||
− | + | ||
− | + | <tr> | |
− | + | <td> vlcy </td> | |
− | + | <td>velocity of movement on z label</td> | |
</tr> | </tr> | ||
<tr> | <tr> | ||
− | + | <td>vlcz </td> | |
− | + | <td>concentration of recycled captured bacteria </td> | |
− | + | ||
</tr> | </tr> | ||
+ | |||
<tr> | <tr> | ||
− | + | <td>krec </td> | |
− | + | <td> speed of bacteria recycled on Si-board </td> | |
− | + | </tr> | |
+ | <tr> | ||
+ | <td>kabcs</td> | ||
+ | <td>speed of bacteria recycled on Si-board</td> | ||
+ | </tr> | ||
+ | |||
+ | <tr> | ||
+ | <td> rmax </td> | ||
+ | <td> the amount of bacteria recyclyed on each area of Si-board </td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>csen</td> | ||
+ | <td>the lowest concentration lanthanide ion that can be sensed</td> | ||
+ | </tr> | ||
+ | |||
+ | <tr> | ||
+ | <td>ksen </td> | ||
+ | <td>speed of bacteria sensing the lanthanide ion </td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>kcap </td> | ||
+ | <td> speed of sensed bacteria capturing the lanthanide ion </td> | ||
+ | </tr> | ||
+ | |||
+ | <tr> | ||
+ | <td>ccap </td> | ||
+ | <td>the lowest concentration lanthanide ion that can be captured </td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>LBlever</td> | ||
+ | <td> The amount of lanthanide ion captured by one bacteria</td> | ||
</tr> | </tr> | ||
− | |||
</tbody> | </tbody> | ||
</table> | </table> | ||
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− | <div id=" | + | <div id="section4" style="border: solid 1px #666; margin:5px;border-radius:10px;overflow: hidden;"> |
− | <h3 style="background-color:#ce6b9a;color:#ffffff; padding:10px;letter-spacing:1px; margin-top:0;"> | + | <h3 style="background-color:#ce6b9a;color:#ffffff; padding:10px;letter-spacing:1px; margin-top:0;">Basical Diffusion</h3> |
− | <p> | + | <p>Rome was not built in a day. At the beginning, we built a basical diffusion model, just setting the diffusion function in our model.</p> |
− | + | <p>The function is:</p> | |
− | </p> | + | <img class="col-xs-3 col-xs-offset-4" src="https://static.igem.org/mediawiki/2017/5/58/2017_HUST_China_model_equation1.png" /> |
− | < | + | |
− | < | + | <p class="col-sm-12">We release some Reebot to the top of our hypothetical container as initial value of f<sub>1<sub>, and use ‘ode’ tool in MATLAB to run this function. Here is the result:</p> |
− | <img src="https://static.igem.org/mediawiki/2017/ | + | |
+ | <section class="col-xs-6 col-xs-offset-1"> | ||
+ | <figure> | ||
+ | <video controls="controls" max-width="600" height="480" poster="https://static.igem.org/mediawiki/2017/d/db/2017_HUST_China_vedio_poster.png" preload="metadata" aria-describedby="full-descript"> | ||
+ | <source type="video/webm" src="https://static.igem.org/mediawiki/2017/f/fb/2017_HUST_China_model_vedio1.1.webm" /> | ||
+ | <track src="subs/TOS-arabic.srt" kind="subtitles" srclang="ar" label="Arabic" /> | ||
+ | <track src="subs/TOS-japanese.srt" kind="subtitles" srclang="jp" label="Japanese" /> | ||
+ | <track src="subs/TOS-english.srt" kind="subtitles" srclang="en" label="English" /> | ||
+ | <track src="subs/TOS-turkish.srt" kind="subtitles" srclang="tr" label="Turkish" /> | ||
+ | <track src="subs/TOS-ukrainian.srt" kind="subtitles" srclang="uk" label="Ukrainian" /> | ||
+ | </video> | ||
+ | </figure> | ||
+ | </section> | ||
+ | |||
+ | </div> | ||
+ | <div id="section5" style="border: solid 1px #666; margin:5px;border-radius:10px;overflow: hidden;"> | ||
+ | <h3 style="background-color:#ce6b9a;color:#ffffff; padding:10px;letter-spacing:1px; margin-top:0;">Recycling</h3> | ||
+ | <p>Then we let our model become more complex and more powerful. We decided using Si-board to recycle the Reebot, since Reebot have Sitag, a protein tag that can combine with Si, once it was sensed. We insert recycling function in our model.</p> | ||
+ | <p>Firstly, we should change the diffusion function:</p> | ||
+ | <img class="col-xs-4 col-xs-offset-4" src="https://static.igem.org/mediawiki/2017/b/b2/2017_HUST_China_model_equation2.png" /> | ||
+ | <p class="col-xs-12" style="text-align: center;">(In the end of all function, the ∂f/∂t will be delta.)</p> | ||
+ | <p class="col-xs-12">And we set the area of Si-board, if it is in Si-board area:</p> | ||
+ | <img class="col-sm-5 col-sm-offset-4" src="https://static.igem.org/mediawiki/2017/5/5e/2017_HUST_China_model_equation7.png" /> | ||
+ | <p class="col-sm-12">Bacteria that combined with Si-board maybe abscess. So taking the abscission into consideration, we should add this function:</p> | ||
+ | <img class="col-xs-4 col-xs-offset-4" src="https://static.igem.org/mediawiki/2017/1/14/2017_HUST_China_model_equation3.png" /> | ||
+ | <p class="col-xs-12">Finally:</p> | ||
+ | <img class="col-xs-3 col-xs-offset-4" src="https://static.igem.org/mediawiki/2017/9/92/2017_HUST_China_model_equation4.png" /> | ||
+ | <p class="col-sm-12">Set a 5×5 Si-board on the top and then run the model, the result is:</p> | ||
+ | <section class="col-xs-6 col-xs-offset-1"> | ||
+ | <figure> | ||
+ | <video controls="controls" width="600" height="480" poster="https://static.igem.org/mediawiki/2017/d/db/2017_HUST_China_vedio_poster.png" preload="metadata" aria-describedby="full-descript"> | ||
+ | <source type="video/webm" src="https://static.igem.org/mediawiki/2017/a/a5/2017_HUST_China_model_vedio2.1.webm" /> | ||
+ | <track src="subs/TOS-arabic.srt" kind="subtitles" srclang="ar" label="Arabic" /> | ||
+ | <track src="subs/TOS-japanese.srt" kind="subtitles" srclang="jp" label="Japanese" /> | ||
+ | <track src="subs/TOS-english.srt" kind="subtitles" srclang="en" label="English" /> | ||
+ | <track src="subs/TOS-turkish.srt" kind="subtitles" srclang="tr" label="Turkish" /> | ||
+ | <track src="subs/TOS-ukrainian.srt" kind="subtitles" srclang="uk" label="Ukrainian" /> | ||
+ | </video> | ||
+ | </figure> | ||
+ | </section> | ||
+ | |||
+ | </div> | ||
+ | <div id="section6" style="border: solid 1px #666; margin:5px;border-radius:10px;overflow: hidden;"> | ||
+ | <h3 style="background-color:#ce6b9a;color:#ffffff; padding:10px;letter-spacing:1px; margin-top:0;">Sensing and Capture</h3> | ||
+ | <p>This is the biggest part of our model. We should take lanthanide ion, sensing and capture into consideration. So, our data doesn’t just contain concentration of bacteria anymore. It now contains four: concentration of initially bacteria (haven’t sensed the lanthanide ion) as f<sub>1</sub>, concentration of lanthanide ion as f<sub>2</sub>, concentration of sensed bacteria(sensed the lanthanide ion but haven’t captured)as f<sub>3</sub> and concentration of captured bacteria (have captured enough lanthanide ion) as f<sub>4</sub>.</p> | ||
+ | <img class="col-xs-4 col-xs-offset-4" src="https://static.igem.org/mediawiki/2017/5/5b/2017_HUST_China_model_equation5.png" /> | ||
+ | <p class="col-xs-12">And the sensed bacteria will capture the lanthanide ion around it, to simplify the function, we just consider it at two status: no captured and full captured. The function is:</p> | ||
+ | <img class="col-xs-4 col-xs-offset-4" src="https://static.igem.org/mediawiki/2017/a/a0/2017_HUST_China_model_equation6.png" /> | ||
+ | <p class="col-xs-12">We should also modify the recycling function. It will only use to sensed bacteria and captured bacteria. </p> | ||
+ | <p class="col-xs-12">Finally, the model is over. Running the model, the result is:</p> | ||
+ | <section class="col-xs-6 col-xs-offset-1"> | ||
+ | <figure> | ||
+ | <video controls="controls" width="600" height="480" poster="https://static.igem.org/mediawiki/2017/d/db/2017_HUST_China_vedio_poster.png" preload="metadata" aria-describedby="full-descript"> | ||
+ | <source type="video/webm" src="https://static.igem.org/mediawiki/2017/6/60/2017_HUST_China_model_vedio3.2.webm" /> | ||
+ | <track src="subs/TOS-arabic.srt" kind="subtitles" srclang="ar" label="Arabic" /> | ||
+ | <track src="subs/TOS-japanese.srt" kind="subtitles" srclang="jp" label="Japanese" /> | ||
+ | <track src="subs/TOS-english.srt" kind="subtitles" srclang="en" label="English" /> | ||
+ | <track src="subs/TOS-turkish.srt" kind="subtitles" srclang="tr" label="Turkish" /> | ||
+ | <track src="subs/TOS-ukrainian.srt" kind="subtitles" srclang="uk" label="Ukrainian" /> | ||
+ | </video> | ||
+ | </figure> | ||
+ | </section> | ||
+ | <p class="col-xs-12">For more intuitive, we draw a figure :</p> | ||
+ | <p><strong><span class="col-xs-12">Click on the picture and you can see a clearer picture.Then click on the return key of the browser and you can return.</span></strong></p><br/> | ||
+ | <a href="https://static.igem.org/mediawiki/2017/3/39/2017_HUST_China_model_image_part.png" rel="lightbox-demo" title="my caption"><br /> | ||
+ | <img title="demo1" src="https://static.igem.org/mediawiki/2017/3/39/2017_HUST_China_model_image_part.png" alt="demo1" class="col-xs-8 col-xs-offset-2"> | ||
+ | </a> | ||
+ | <p class="col-xs-12">Put these curve into one figure:</p> | ||
+ | <p><strong><span class="col-xs-12">Click on the picture and you can see a clearer picture.Then click on the return key of the browser and you can return.</span></strong></p><br/> | ||
+ | <a href="https://static.igem.org/mediawiki/2017/6/66/2017_HUST_Chian_model_image_all.png" rel="lightbox-demo" title="my caption"><br /> | ||
+ | <img title="demo1" src="https://static.igem.org/mediawiki/2017/6/66/2017_HUST_Chian_model_image_all.png" alt="demo1" class="col-xs-8 col-xs-offset-2"> | ||
+ | </a> | ||
+ | <p class="col-xs-12">It’s clearly that there are three stages during the whole simulation. The first stage is sensing, second stage is capturing and third is recycling.</p> | ||
+ | <div class="col-xs-12"> | ||
+ | <h4 style="color:#97477c"><strong>Result:</strong></h4> | ||
+ | <p>Firstly, we run a model which is: there are enough concentration of lanthanide ion in the consider, and we put some Reebot on the top. Here is the video:</p> | ||
+ | <section class="col-xs-6 col-xs-offset-1"> | ||
+ | <figure> | ||
+ | <video controls="controls" width="600" height="480" poster="https://static.igem.org/mediawiki/2017/d/db/2017_HUST_China_vedio_poster.png" preload="metadata" aria-describedby="full-descript"> | ||
+ | <source type="video/webm" src="https://static.igem.org/mediawiki/2017/6/60/2017_HUST_China_model_vedio3.2.webm" /> | ||
+ | <track src="subs/TOS-arabic.srt" kind="subtitles" srclang="ar" label="Arabic" /> | ||
+ | <track src="subs/TOS-japanese.srt" kind="subtitles" srclang="jp" label="Japanese" /> | ||
+ | <track src="subs/TOS-english.srt" kind="subtitles" srclang="en" label="English" /> | ||
+ | <track src="subs/TOS-turkish.srt" kind="subtitles" srclang="tr" label="Turkish" /> | ||
+ | <track src="subs/TOS-ukrainian.srt" kind="subtitles" srclang="uk" label="Ukrainian" /> | ||
+ | </video> | ||
+ | </figure> | ||
+ | </section> | ||
</div> | </div> | ||
− | < | + | <div class="col-xs-12"> |
− | + | <p> From the video, we can see that once we put Reebot into the container, the Reebot quickly diffuse. At the same time, Reebot sense the lanthanide ion around them, and express more LBT (lanthanide binding tag), sitag on their surface. Then, the LBT start to capture the lanthanide ion in the environment. As time goes by, Reebot have captured more and more lanthanide. At the beginning, the concentration of lanthanide ion is 0.02,and now, it is 0.006.</p> | |
− | + | <p>When t = 60, we set a 6*8 Si-board on the top. The sensed bacteria and captured bacteria are recycling to the Si-board. You can see it clearly that the edge of Si-board recycled more Reebot. In the end, many bacteria are recycled to the Si-board, but there are still many Reebot in the environment. The reason is concentration gradient caused by Si-board isn’t large enough so that the diffusion isn’t effective. But keeping the Si-board here doesn’t cost much, so we can stand it.</p> | |
+ | <p>In order to show you more details, we sum each areas’ concentration and put them into on figure:</p> | ||
+ | <p><strong><span class="col-xs-12">Click on the picture and you can see a clearer picture.Then click on the return key of the browser and you can return.</span></strong></p><br/> | ||
+ | <a href="https://static.igem.org/mediawiki/2017/6/66/2017_HUST_Chian_model_image_all.png" rel="lightbox-demo" title="my caption"><br /> | ||
+ | <img title="demo1" src="https://static.igem.org/mediawiki/2017/6/66/2017_HUST_Chian_model_image_all.png" alt="demo1" class="col-xs-8 col-xs-offset-2"> | ||
+ | </a> | ||
</div> | </div> | ||
− | < | + | <div class="col-xs-12"> |
− | + | <p> From the figure, we can see lot of things. In the first 60 units of time, most Reebot quickly captured enough bacteria, the concentration of initial bacteria and sensed bacteria are very low. Then, the Si-board set, Reebot begin to recycle. At first, in the figure, Reebot recycle at about a same speed. Then recycle speed is slower and slower. </p> | |
− | + | <p>This model simulate the ordinary use of Reebot. the result can show us the detail of process, we can determine how much Reebot to release and recycle for how long upon that.</p> | |
− | + | <p>Then, we run an other simulation to show the intelligence of Reebot. In this simulation, there was no lanthanide ion at the beginning, we put lanthanide ion at some certain time.</p> | |
− | + | <p>The video and figure is here.</p> | |
− | + | <section class="col-xs-6 col-xs-offset-1"> | |
− | + | <figure> | |
− | + | <video controls="controls" width="600" height="480" poster="https://static.igem.org/mediawiki/2017/d/db/2017_HUST_China_vedio_poster.png" preload="metadata" aria-describedby="full-descript"> | |
− | + | <source type="video/webm" src="https://2017.igem.org/File:2017_HUST_China_model_vedio4.2.webm" /> | |
− | + | <track src="subs/TOS-arabic.srt" kind="subtitles" srclang="ar" label="Arabic" /> | |
− | + | <track src="subs/TOS-japanese.srt" kind="subtitles" srclang="jp" label="Japanese" /> | |
− | + | <track src="subs/TOS-english.srt" kind="subtitles" srclang="en" label="English" /> | |
− | + | <track src="subs/TOS-turkish.srt" kind="subtitles" srclang="tr" label="Turkish" /> | |
− | + | <track src="subs/TOS-ukrainian.srt" kind="subtitles" srclang="uk" label="Ukrainian" /> | |
− | + | </video> | |
− | + | </figure> | |
+ | </section> | ||
+ | </div> | ||
+ | <div class="col-xs-12"> | ||
+ | <p>At the beginning, we release Reebot on the top. While there is no lanthanide ion in environment, so Reebot keep the initial status, and diffuse in the container. When passing through 40 units of time, there are some lanthanide ion release at the bottom of container. From the video, Reebot take a quick reaction, capturing the lanthanide ion and recycling. When it passes 180 units of time, other lanthanide ion release at another position in bottom. Reebot successfully capture them too.</p> | ||
+ | <p>It’s also our project’s future plan. Once we achieve it, we can release Reebot in factory’s pool. If there is no lanthanide ion, Reebot just live as a normal escherichia coli. And once lanthanide ion emerge, Reebot can sense and capture it, then Reebot combine with Si-board. </p> | ||
</div> | </div> | ||
</div> | </div> | ||
Line 576: | Line 707: | ||
</div> | </div> | ||
</nav> | </nav> | ||
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− | + | ||
− | <script | + | <footer id="footer"> |
+ | <div class="container" style="text-align: left"> | ||
+ | <h3><strong>Acknowledgments:</strong></h3> | ||
+ | <img style="max-width: 100%; height:auto; display: block " src="https://static.igem.org/mediawiki/2017/8/88/2017_HUST_China_seven_logo.png" /> | ||
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Revision as of 13:52, 28 October 2017
「Attributions」
Overview
We build an ecosystem level model, in order to see how the Reebot diffuse, sense and capture the lanthanide ion, and be recycled on Si-board. Then we can determine how should we release Reebot, how to recycle the Reebot and how much Reebot do we need to produce the best result. The ecosystem could derive the best strategy to make full use of Reebot.
Assumptions
The variability of temperature has no effect on our Reebot or it could be ignored.
Liquid in the container is stationary.
There is nothing else in the container which can influence Reebot.
Constant & Parameter
The description of constant, their values and the references involved in this model are listed in this table.
Constant | Description |
---|---|
f1 | concentration of Initially Bacteria |
f2 | concentration of Lanthanide ion |
f3 | concentration of Sensed Bacteria |
f4 | concentration of Captured Bacteria |
f5 | concentration of recycled sensed bacteria |
f6 | concentration of recycled captured bacteria |
The description of parameter, their values and the references involved in this model are listed in the second table.
Parameter | Description |
---|---|
dif | the diffuse ability of bacteria |
difl | the diffuse ability of lanthanide ion |
deadp | dead/birth per minute of bacteria |
vlcx | velocity of movement on x label |
vlcy | velocity of movement on z label |
vlcz | concentration of recycled captured bacteria |
krec | speed of bacteria recycled on Si-board |
kabcs | speed of bacteria recycled on Si-board |
rmax | the amount of bacteria recyclyed on each area of Si-board |
csen | the lowest concentration lanthanide ion that can be sensed |
ksen | speed of bacteria sensing the lanthanide ion |
kcap | speed of sensed bacteria capturing the lanthanide ion |
ccap | the lowest concentration lanthanide ion that can be captured |
LBlever | The amount of lanthanide ion captured by one bacteria |
Basical Diffusion
Rome was not built in a day. At the beginning, we built a basical diffusion model, just setting the diffusion function in our model.
The function is:
We release some Reebot to the top of our hypothetical container as initial value of f1, and use ‘ode’ tool in MATLAB to run this function. Here is the result:
Recycling
Then we let our model become more complex and more powerful. We decided using Si-board to recycle the Reebot, since Reebot have Sitag, a protein tag that can combine with Si, once it was sensed. We insert recycling function in our model.
Firstly, we should change the diffusion function:
(In the end of all function, the ∂f/∂t will be delta.)
And we set the area of Si-board, if it is in Si-board area:
Bacteria that combined with Si-board maybe abscess. So taking the abscission into consideration, we should add this function:
Finally:
Set a 5×5 Si-board on the top and then run the model, the result is:
Sensing and Capture
This is the biggest part of our model. We should take lanthanide ion, sensing and capture into consideration. So, our data doesn’t just contain concentration of bacteria anymore. It now contains four: concentration of initially bacteria (haven’t sensed the lanthanide ion) as f1, concentration of lanthanide ion as f2, concentration of sensed bacteria(sensed the lanthanide ion but haven’t captured)as f3 and concentration of captured bacteria (have captured enough lanthanide ion) as f4.
And the sensed bacteria will capture the lanthanide ion around it, to simplify the function, we just consider it at two status: no captured and full captured. The function is:
We should also modify the recycling function. It will only use to sensed bacteria and captured bacteria.
Finally, the model is over. Running the model, the result is:
For more intuitive, we draw a figure :
Click on the picture and you can see a clearer picture.Then click on the return key of the browser and you can return.
Put these curve into one figure:
Click on the picture and you can see a clearer picture.Then click on the return key of the browser and you can return.
It’s clearly that there are three stages during the whole simulation. The first stage is sensing, second stage is capturing and third is recycling.
Result:
Firstly, we run a model which is: there are enough concentration of lanthanide ion in the consider, and we put some Reebot on the top. Here is the video:
From the video, we can see that once we put Reebot into the container, the Reebot quickly diffuse. At the same time, Reebot sense the lanthanide ion around them, and express more LBT (lanthanide binding tag), sitag on their surface. Then, the LBT start to capture the lanthanide ion in the environment. As time goes by, Reebot have captured more and more lanthanide. At the beginning, the concentration of lanthanide ion is 0.02,and now, it is 0.006.
When t = 60, we set a 6*8 Si-board on the top. The sensed bacteria and captured bacteria are recycling to the Si-board. You can see it clearly that the edge of Si-board recycled more Reebot. In the end, many bacteria are recycled to the Si-board, but there are still many Reebot in the environment. The reason is concentration gradient caused by Si-board isn’t large enough so that the diffusion isn’t effective. But keeping the Si-board here doesn’t cost much, so we can stand it.
In order to show you more details, we sum each areas’ concentration and put them into on figure:
Click on the picture and you can see a clearer picture.Then click on the return key of the browser and you can return.
From the figure, we can see lot of things. In the first 60 units of time, most Reebot quickly captured enough bacteria, the concentration of initial bacteria and sensed bacteria are very low. Then, the Si-board set, Reebot begin to recycle. At first, in the figure, Reebot recycle at about a same speed. Then recycle speed is slower and slower.
This model simulate the ordinary use of Reebot. the result can show us the detail of process, we can determine how much Reebot to release and recycle for how long upon that.
Then, we run an other simulation to show the intelligence of Reebot. In this simulation, there was no lanthanide ion at the beginning, we put lanthanide ion at some certain time.
The video and figure is here.
At the beginning, we release Reebot on the top. While there is no lanthanide ion in environment, so Reebot keep the initial status, and diffuse in the container. When passing through 40 units of time, there are some lanthanide ion release at the bottom of container. From the video, Reebot take a quick reaction, capturing the lanthanide ion and recycling. When it passes 180 units of time, other lanthanide ion release at another position in bottom. Reebot successfully capture them too.
It’s also our project’s future plan. Once we achieve it, we can release Reebot in factory’s pool. If there is no lanthanide ion, Reebot just live as a normal escherichia coli. And once lanthanide ion emerge, Reebot can sense and capture it, then Reebot combine with Si-board.