Difference between revisions of "Team:NUDT CHINA/Model"

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              <style>.nav-global ul li a{ font-size:0.85rem; } @media screen and (max-width: 865px) { .nav-global ul li a{ font-size:0.85rem; } }</style>
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<div class="breadcrumb-share-wrap">
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                <!-- <div class="share">
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+
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+
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+
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+
            <!--TYPO3SEARCH_begin-->
+
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+
              <div class="carousel " id="slideshow-4811" data-cycle-log="false" data-cycle-auto-height="calc" data-cycle-prev="#prev-4811" data-cycle-next="#next-4811" data-cycle-pager="#cycle-pager-4811" data-cycle-easing="easeInOutQuad" data-cycle-fx="scrollVertUp" data-cycle-center-horz="true" data-cycle-speed="1000" data-cycle-timeout="8000" data-cycle-paused="true" data-cycle-slides="> div.slide">
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+
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+
                              <!--h3 class="bh__subtitle"><a href="http#/explore/whats-here/exhibits/brick-by-brick/"><span class="line-wrap"><span class="line"><span class="bh__info">Exhibit / </span>Brick by Brick</span></span></a></h3-->
+
                              <h1 class="bh__title ">
+
                                <!--<a href="#">-->
+
                                  <span class="line-wrap">
+
                                    <span class="line">Cancer,</span></span>
+
                                  <br>
+
                                  <span style="line-height:75px;" class="line-wrap">
+
                                    <span style="line-height:75px;" class="line">No More Hiding</span></span>
+
                                <!--</a>-->
+
                              </h1>
+
                              <h2 style="font-size:36px;" class="bh__title ">
+
                                <!--<a href="#">-->
+
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+
                                    <span style="line-height:41px;" class="line">Development of A Novel</span></span>
+
                                  <span style="line-height:41px;" class="line-wrap">
+
                                    <span style="line-height:41px;" class="line">Blood-MicroRNA Handy Detection System with CRISPR</span></span>
+
                                <!--</a>-->
+
                              </h2>
+
                            </div>
+
                          </div>
+
                        </div>
+
                      </section>
+
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+
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+
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+
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+
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+
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+
            <!--TYPO3SEARCH_end--></div>
+
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+
        <!-- end #feature -->
+
        <!-- end .columns --></div>
+
      <div style="margin-top:80px;" id="content-wrap-ink"><!-- adjust in add_JS -->
+
<div class="row footer-link" style="">
+
 
+
 
+
 
+
 
+
 
+
 
+
 
+
 
+
+
<!--标题-->
+
<h2>
+
<span><span style="color:#7f1015">Abstract</span></span><hr />
+
</h2>
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">This
+
 
+
model was created to evaluate the effectiveness of initial design, and offered
+
 
+
guidelines about how the system can (or must) be improved. (You can go <a href="/Team:NUDT_CHINA/Design">DESIGN.page</a></li> to see more.) The core idea was to simulate the process of producing the
+
 
+
signal which can be detected, and drew a conclusion by obtaining the
+
 
+
relationship between the signal intensity and the concentration of miRNA.
+
 
+
</span>
+
</p>
+
</br>
+
 
+
<!--标题-->
+
<h2>
+
<span><span style="color:#7f1015">Introduction </span></span><hr />
+
</h2>
+
 
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">Mathematical models of two aspects of our project were created, a
+
 
+
RCA model and a signal detection model.
+
 
+
</span>
+
</p>
+
</br>
+
 
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">The RCA
+
 
+
model was based on the Michaelis-Menten equation. The relationship between the
+
 
+
concentration of miRNA and the number of stem-loop structures was obtained
+
 
+
through theoretical calculation, and our experimental results was used to
+
 
+
calculate the parameters we introduced previously.</span>
+
</p>
+
</br>
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">The
+
 
+
signal detection model was composed of a probability model and a kinetic
+
 
+
equation of enzymatic reaction, thus the relationship between the number of
+
 
+
stem-loop structures and the signal intensity under the premise of adding a
+
 
+
certain amount of fusion proteins of dCas9 and split-HRP fragments was obtained.
+
 
+
</span>
+
</p>
+
</br>
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">By
+
 
+
integrating the two models, the impacts of the molecule number of proteins on
+
 
+
the signal to noise ratio was theoretically predicted and the trend of the
+
 
+
signal intensity with the change of the concentration of miRNA in our wet-lab
+
 
+
work was explained.</span>
+
</p>
+
</br>
+
 
+
 
+
<!--标题-->
+
<h2>
+
<span><span style="color:#7f1015"> Assumption and Justification 
+
 
+
</span></span><hr />
+
</h2>
+
 
+
<!--标题-->
+
<h3>
+
<span><span style="color:#7f1015">  About model    </span></span><hr />
+
</h3>
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">
+
 
+
Assuming that miRNA is not degraded throughout the reaction process.</span>
+
</p>
+
</br>
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">
+
 
+
Assuming that the two fusion proteins of dCas9 and split-HRP fragments have the
+
 
+
same ability to combine with the stem-loop structure, and only when two
+
 
+
different proteins next to each other, can they have the ability to catalyze
+
 
+
substrate and produce signal.</span>
+
</p>
+
</br>
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">
+
 
+
Assuming that the number of stem-loop structures in each RCA product is equal
+
 
+
under a certain reaction time. </span>
+
</p>
+
</br>
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">
+
Assuming that the enzymatic activity remains unchanged with time under the
+
 
+
premise of excessive amount of enzymes or a short-time reaction.</span>
+
</p>
+
</br>
+
 
+
 
+
 
+
<!--标题-->
+
<h3>
+
<span><span style="color:#7f1015">  About the data  </span></span><hr
+
 
+
/>
+
</h3>
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;"> Assuming that the data we obtain from wet-lab experiment are
+
 
+
reliable.</span>
+
</p>
+
</br>
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;"> Assuming that all the results are trustworthy in the process of
+
 
+
statistical processing and data calculation.</span>
+
</p>
+
</br>
+
 
+
 
+
<!--标题-->
+
<h2>
+
<span><span style="color:#7f1015">Model </span></span><hr />
+
</h2>
+
 
+
<!--标题-->
+
<h3>
+
<span><span style="color:#7f1015">Notations </span></span><hr />
+
</h3>
+
 
+
 
+
 
+
<!--表格-->
+
<p>
+
<table class="MsoTableGrid" border="1" cellspacing="0" cellpadding="0" style="border:none;">
+
<tbody>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>Symbol </span>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>Definition </span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span>X</span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<a name="OLE_LINK7"></a><a name="OLE_LINK6"></a><span>The concentration of</span><span> miRNA (pM)</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span>C<sub>1</sub></span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>The concentration of initiated probe (Abbreviated
+
  to iprobe)</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span>k<sub>1</sub></span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<a name="OLE_LINK8"></a><span>A constant representing
+
  the scale factor</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span>K<sub>m </sub></span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>One of the characteristic constants of
+
  phi29 DNA polymerase</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span>V<sub>max</sub></span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>One of the characteristic constants of phi29
+
  DNA polymerase</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span>k<sub>2</sub></span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>A constant representing the scale factor</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span>V</span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>The initial speed of RCA </span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<a name="OLE_LINK9"></a><i><span>n<sub>1</sub></span></i><i><sub><span></span></sub></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>The moles of RCA product</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span>n<sub>2</sub></span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<a name="OLE_LINK10"></a><span>The number of
+
  stem-loop structures in each RCA product</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span>n</span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>The total amount of <a name="OLE_LINK23"></a><a name="OLE_LINK22"></a>stem-loop structures</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span>N</span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<a name="OLE_LINK41"></a><a name="OLE_LINK16"></a><span>The molecule number of fusion
+
  protein of dCas9 and split-HRP fragments</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span>k<sub>3</sub></span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>A constant representing the scale factor</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span>y<sub>1</sub></span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>The fluorescence intensity of
+
  DNA-dye-complex (RFU)</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span>N<sub>1</sub></span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>The molecule number of fusion protein of
+
  dCas9 and split-HRP fragments in the solution</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span>N<sub>2</sub></span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<a name="OLE_LINK45"></a><span>The molecule number
+
  of fusion protein of dCas9 and split-HRP fragments binding with stem-loop
+
  structure</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span>k<sub>4</sub></span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>A constant representing the scale factor</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span>k<sub>5</sub></span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>A constant representing the scale factor</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span style="font-family:宋体;">ρ</span><span></span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>Signal to noise ratio(Abbreviated to
+
  SNR)</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span style="font-family:宋体;">I</span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>The molecule number of formed intact HRP
+
  proteins </span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span style="font-family:宋体;">I<sub>1</sub></span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>The molecule number of formed intact HRP
+
  proteins in the solution</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span style="font-family:宋体;">I<sub>2</sub></span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<a name="OLE_LINK43"></a><span>The molecule number
+
  of formed intact HRP proteins through binding with stem-loop structure</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span style="font-family:宋体;">t</span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>Reaction time</span>
+
</p>
+
</td>
+
</tr>
+
<tr>
+
<td width="66" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<i><span style="font-family:宋体;">y<sub>2</sub></span></i>
+
</p>
+
</td>
+
<td width="487" valign="top" style="border:solid windowtext 1.0pt;">
+
<p class="MsoNormal">
+
<span>The signal intensity (OD<sub>450</sub>)</span>
+
</p>
+
</td>
+
</tr>
+
</tbody>
+
</table>
+
</p>
+
 
+
 
+
 
+
 
+
<!--标题-->
+
<h3>
+
<span><span style="color:#7f1015">  The RCA model    </span></span><hr
+
 
+
/>
+
</h3>
+
 
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">Firstly, we assume that there is a linear relationship between the
+
 
+
concentration of the initiated probes and miRNA as the combination reaction
+
 
+
between miRNA and probe occurs spontaneously<sup>1 </sup> . This can be written
+
 
+
as:
+
 
+
</span>
+
</p>
+
</br>
+
 
+
<!--插入图片-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--model1.jpg|70px|center]]
+
<html>
+
</br>
+
 
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">Next,
+
 
+
RCA is an enzymatic reaction, the reaction equation is written as: iprobe+dNTP→
+
 
+
iprobe-dN+PPi, under the premise of excessive amount of enzymes and dNTPs, the
+
 
+
relationship between the concentration of iprobe and the initial speed of RCA
+
 
+
can be described by the Michaelis-Menten equation. This can be written as:
+
 
+
</span>
+
</p>
+
</br>
+
 
+
 
+
 
+
 
+
<!--插入图片-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--model2.jpg|105px|center]]
+
<html>
+
</br>
+
 
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">It is
+
 
+
obvious that there is a linear relationship between the molecule numbers of
+
 
+
iprobe-dN (n<sub>1 </sub>, reflects the molecule numbers of RCA product) and the initial
+
 
+
speed of RCA reaction. Notably, under the premise of excessive amount of
+
 
+
enzymes, the extending of each RCA production is related to the reaction time,
+
 
+
not the concentration of the iprobe. It is a linear relationship when we assume
+
 
+
that the enzymatic activity remains unchanged with time, thus, the number of
+
 
+
stem-loop structures (n<sub>2 </sub>) in each RCA product is stable under the premise of a
+
 
+
certain reaction time. </span>
+
</p>
+
</br>
+
 
+
 
+
<!--插入图片-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--modelfig1.jpg|350px|center]]
+
<html>
+
</br>
+
 
+
 
+
 
+
<!--图注-->
+
<p>
+
<b><span style="line-height:2;font-family:Perpetua;font-
+
 
+
size:18px;">Figure 1. Schematic diagram</span></b>
+
</p>
+
 
+
</br>
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">This
+
 
+
can be written as:</span>
+
</p>
+
</br>
+
 
+
 
+
 
+
 
+
<!--插入图片-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--model3.jpg|70px|center]]
+
<html>
+
</br>
+
 
+
 
+
 
+
<!--插入图片-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--model4.jpg|70px|center]]
+
<html>
+
</br>
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">And
+
 
+
then, SYBR Green binds to DNA. The resulting DNA-dye-complex absorbs blue light
+
 
+
(λmax = 497nm) and emits green light (λmax = 520nm). Thus, there is a linear
+
 
+
relationship between the total amount of stem-loop structures and the
+
 
+
fluorescence intensity of DNA-dye-complex. This can be written as:</span>
+
</p>
+
</br>
+
 
+
 
+
<!--插入图片-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--model5.jpg|70px|center]]
+
<html>
+
</br>
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">In
+
 
+
summary, the relationship between the concentration of miRNA and the
+
 
+
fluorescence intensity of DNA-dye-complex can be written as:</span>
+
</p>
+
</br>
+
 
+
 
+
<!--插入图片-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--model6.jpg|105px|center]]
+
<html>
+
</br>
+
 
+
 
+
 
+
<!--标题-->
+
<h3>
+
<span><span style="color:#7f1015">  The signal detection model   
+
 
+
</span></span><hr />
+
</h3>
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-
+
 
+
size:18px;">Firstly, it is obvious that there is a linear relationship between
+
 
+
the molecule number of formed intact HRP proteins in the solution (consider as
+
 
+
NOISE) and the molecule number of fusion protein s in the solution. This can be
+
 
+
written as:</span>
+
</p>
+
</br>
+
 
+
 
+
 
+
<!--插入图片-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--model7.jpg|70px|center]]
+
<html>
+
</br>
+
 
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">Next,
+
 
+
we built a probability model to find the expression of the molecule number of
+
 
+
formed intact HRP proteins (fused with dCas9) through binding with stem-loop
+
 
+
structure (consider as SIGNAL). It is related to the total amount of stem-loop
+
 
+
structures and the molecule number of DNA-bound fusion proteins. We obtain the
+
 
+
result by Monte Carlo method. </span>
+
</p>
+
</br>
+
 
+
 
+
 
+
 
+
 
+
<!--图和图注-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--modelfig2.jpg|350px|center]]
+
<html>
+
</br>
+
<p>
+
<b><span style="line-height:2;font-family:Perpetua;font-
+
 
+
size:18px;">Figure2. Frequency Distribution</span></b>
+
</p>
+
<p>
+
<span style="line-height:2;font-family:Perpetua;font-size:16px;">Plot of
+
 
+
frequency distribution of the molecule number of formed intact HRP proteins
+
 
+
through binding with stem-loop structure. </span>
+
</p>
+
</br>
+
 
+
 
+
<!--图和图注-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--modelfig3.jpg|350px|center]]
+
<html>
+
</br>
+
<p>
+
<b><span style="line-height:2;font-family:Perpetua;font-
+
 
+
size:18px;">Figure 3. The result of the probability model</span></b>
+
</p>
+
<p>
+
<span style="line-height:2;font-family:Perpetua;font-size:16px;">Plot of
+
 
+
the expect value of the molecule number of formed intact proteins against the
+
 
+
total amount of stem-loop structures, carried out at 0.1, 0.3, 0.5, 0.7, 0.9 of
+
 
+
N2 to n ratio. </span>
+
</p>
+
</br>
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">The
+
 
+
result can be written as:</span>
+
</p>
+
</br>
+
 
+
 
+
 
+
<!--插入图片-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--model8.jpg|105px|center]]
+
<html>
+
</br>
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">As for
+
 
+
N2, which refers to the molecule number of fusion proteins binding with stem-
+
 
+
loop structure. The equation is formulated based on the limiting case. The
+
 
+
equation can be written as:</span>
+
</p>
+
</br>
+
 
+
 
+
 
+
<!--插入图片-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--model9.jpg|105px|center]]
+
<html>
+
</br>
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">And
+
 
+
then, we can obtain the expressions for ρ and I separately.</span>
+
</p>
+
</br>
+
 
+
 
+
 
+
<!--插入图片-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--model10.jpg|105px|center]]
+
<html>
+
</br>
+
 
+
<!--插入图片-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--model11.jpg|70px|center]]
+
<html>
+
</br>
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-
+
 
+
size:18px;">Notably, under the premise of excessive substrates, it is a linear
+
 
+
relationship between the reaction rate and the concentration of enzymes when we
+
 
+
assume that the enzymatic activity remain unchanged with time, thus, we can
+
 
+
obtain the expression of the signal intensity at tth time-step. This is written
+
 
+
as:</span>
+
</p>
+
</br>
+
 
+
 
+
 
+
<!--插入图片-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--model12.jpg|105px|center]]
+
<html>
+
</br>
+
 
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">In
+
 
+
summary, the relationship between the number of stem-loop structures and the
+
 
+
signal to noise ratio under the premise of adding a certain amount of fusion
+
 
+
proteins is written as:</span>
+
</p>
+
</br>
+
 
+
 
+
 
+
<!--插入图片-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--model13.jpg|105px|center]]
+
<html>
+
</br>
+
 
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">The
+
 
+
relationship between the number of Stem-loop structures and the signal intensity
+
 
+
under the premise of adding a certain amount of fusion proteins is written
+
 
+
as:</span>
+
</p>
+
</br>
+
 
+
 
+
 
+
<!--插入图片-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--model14.jpg|105px|center]]
+
<html>
+
</br>
+
 
+
<!--标题-->
+
<h3>
+
<span><span style="color:#7f1015">  The calculation of the constants   
+
 
+
</span></span><hr />
+
</h3>
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">To
+
 
+
simplify the equation (1), the constants could be integrated. As can be seen
+
 
+
from the above table, k1, k2, k3 are constants representing the scale factor, Km
+
 
+
and Vmax are characteristic constants of phi 29 DNA polymerase, and n2, which
+
 
+
refers to the number of stem-loop structures in each RCA product, is stable
+
 
+
under the premise of a certain reaction time. Thus, define two constants, mark
+
 
+
as a and b, and then the equation can be simplified as:</span>
+
</p>
+
</br>
+
 
+
<!--插入图片-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--model15.jpg|105px|center]]
+
<html>
+
</br>
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">We used
+
 
+
this equation to fit the data points obtained through experiments. (Figure …in
+
 
+
the ….page) The fitting curve is shown below.</span>
+
</p>
+
</br>
+
 
+
 
+
<!--图和图注-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--modelfig4.jpg|350px|center]]
+
<html>
+
</br>
+
<p>
+
<b><span style="line-height:2;font-family:Perpetua;font-
+
 
+
size:18px;">Figure 4. Fitting curve</span></b>
+
</p>
+
<p>
+
<span style="line-height:2;font-family:Perpetua;font-size:16px;">Fitting
+
 
+
curve of fluorescence intensity of DNA-dye-complex (RFU) against the
+
 
+
concentrations of miRNA (Pm). </span>
+
</p>
+
</br>
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">With
+
 
+
regard to the equation (2), we set the parameters based on the experiments as
+
 
+
follows:
+
k3 =8.35*10-16 (n=y1/k3); k4 =0.038; k5t=5.9*10-12.
+
</span>
+
</p>
+
</br>
+
 
+
 
+
<!--标题-->
+
<h3>
+
<span><span style="color:#7f1015">  Results and Analysis   
+
 
+
</span></span><hr />
+
</h3>
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">By
+
 
+
integrating the two models, we can obtain the relationships between the signal
+
 
+
to noise ratio, the signal intensity respectively and the concentration of miRNA
+
 
+
under different additional amount of fusion proteins.</span>
+
</p>
+
</br>
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">The
+
 
+
results are shown below.</span>
+
</p>
+
</br>
+
 
+
<!--图和图注-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--modelfig5.jpg|350px|center]]
+
<html>
+
</br>
+
<p>
+
<b><span style="line-height:2;font-family:Perpetua;font-
+
 
+
size:18px;">Figure 5. The signal intensity (OD450)</span></b>
+
</p>
+
<p>
+
<span style="line-height:2;font-family:Perpetua;font-size:16px;">Three-
+
 
+
dimensional map of signal intensity (OD450) against miRNA concentration(pM) and
+
 
+
additional amount of fusion proteins. </span>
+
</p>
+
</br>
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">There
+
 
+
exists a monotonous relation between the concentration of miRNA and the signal
+
 
+
intensity when the value of the molecule number of fusion proteins is relatively
+
 
+
large. While the relationship does not hold when the value of the molecule
+
 
+
number of fusion proteins is relatively small. And the signal intensity
+
 
+
increases as the value of the molecule number of fusion proteins
+
 
+
increases.</span>
+
</p>
+
</br>
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">The
+
 
+
trend of the signal intensity with the change of the concentration of miRNA is
+
 
+
consistent with that we obtained in our wet-lab work.(…….. in the result
+
 
+
page)</span>
+
</p>
+
</br>
+
 
+
 
+
<!--图和图注-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--modelfig6.jpg|350px|center]]
+
<html>
+
</br>
+
<p>
+
<b><span style="line-height:2;font-family:Perpetua;font-
+
 
+
size:18px;">Figure 6. The result of signal to noise ratio</span></b>
+
</p>
+
<p>
+
<span style="line-height:2;font-family:Perpetua;font-size:16px;">Three-
+
 
+
dimensional map of signal to noise ratio against miRNA concentration (pM) and
+
 
+
additional amount of fusion proteins.</span>
+
</p>
+
</br>
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">The
+
 
+
signal-to-noise ratio decreases as the value of the molecule number of fusion
+
 
+
proteins increases. </span>
+
</p>
+
</br>
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-
+
 
+
size:18px;">Furthermore, we consider that it is conducive to signal detection
+
 
+
when the values of signal intensity and signal to noise ratio are both greater
+
 
+
than two. We obtain the ideal region through calculation, which is shown as
+
 
+
below.  </span>
+
</p>
+
</br>
+
 
+
 
+
 
+
<!--图和图注-->
+
</br>
+
</html>
+
[[File:T--NUDT_CHINA--modelfig7.jpg|350px|center]]
+
<html>
+
</br>
+
<p>
+
<b><span style="line-height:2;font-family:Perpetua;font-
+
 
+
size:18px;">Figure 7. Ideal region</span></b>
+
</p>
+
<p>
+
<span style="line-height:2;font-family:Perpetua;font-size:16px;">Region
+
 
+
of qualified logarithm of concentrations of miRNA (pM) and logarithm of the
+
 
+
additional amount of fusion proteins.</span>
+
</p>
+
</br>
+
 
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">When
+
 
+
the value of N is set to 1013.3, the range of the value of x contained in the
+
 
+
ideal region is the largest, which means when the value of the molecule number
+
 
+
of fusion proteins is 1013.3, the concentration range of miRNA contained in the
+
 
+
ideal region is the largest.  </span>
+
</p>
+
</br>
+
 
+
 
+
<!--标题-->
+
<h2>
+
<span><span style="color:#7f1015">Conclusion </span></span><hr />
+
</h2>
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">Based
+
 
+
on our simulation, we came to the conclusion that:</span>
+
</p>
+
</br>
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">The
+
 
+
calculated trend of the signal intensity with the change of the concentration of
+
 
+
miRNA from our model is consistent with the trend we obtained in our laboratory
+
 
+
work.</span>
+
</p>
+
</br>
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">The
+
 
+
value of the molecule number of fusion protein of dCas9 and split-HRP fragments
+
 
+
not only affects the signal-to-noise ratio, but also the signal intensity. So we
+
 
+
need to weigh its impact on both to select the optimal solution.</span>
+
</p>
+
</br>
+
 
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">The
+
 
+
concentration range of miRNA contained in the ideal region is the largest when
+
 
+
we set the value of the molecule number of fusion proteins to be 1013.3, we
+
 
+
optimize the value of the addition amount of fusion proteins in our wet-lab work
+
 
+
based on it.</span>
+
</p>
+
</br>
+
 
+
 
+
<!--标题-->
+
<h2>
+
<span><span style="color:#7f1015">Reference  </span></span><hr />
+
</h2>
+
 
+
<!--正文-->
+
<p style="text-indent:22pt;">
+
<span style="line-height:2;font-family:Perpetua;font-size:18px;">1
+
 
+
Deng, R. et al. Toehold-initiated rolling circle amplification for visualizing
+
 
+
individual microRNAs in situ in single cells. Angew Chem Int Ed Engl 53, 2389-
+
 
+
2393, doi:10.1002/anie.201309388 (2014).</span>
+
</p>
+
</br>
+
 
+
 
+
 
+
 
+
 
+
 
+
 
+
 
+
 
+
 
+
 
+
 
+
</div>
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Revision as of 09:09, 16 October 2016

NUDT_CHINA 2016