Difference between revisions of "Team:FAFU-CHINA/Modeling"

Latest revision as of 03:28, 19 September 2015

Modeling

Remark: Team SCUT help us with some of our modeling work.

In FAFU’s project, it is difficult to measure the quantitative data and determine the amount of dsRNAs which is fed to the larvae. So in the modeling part, we devoted to establishing an accurate mathematical model to simulate the dsRNA expression according to the mechanism of T7 promoter. After the model is built, we can determine the relationship between the concentration of IPTG and the production of dsRNA . Then we can control the amount of dsRNAs which if fed to the larvae by controlling the concentration of IPTG easily.

We know that T7 promoter is a kind of inducible promoter. Hill equation can be used to simulate the effect of T7 promoter. In T7 strength model, the independent variable is the concentration of IPTG, and the dependent variable is the production of dsRNA.

1.The Model Simulating the Change of dsRNA with Time in Different Concentration of IPTG

By observing the pattern of the data, we figure out that the Logistic equation, which is often used to simulate the growth of population, can model the trend best. Thus, we adapt the formulain the following fitting, where a is the concentration of dsRNA in the steady state.

When the concentration of IPTG=0.3mmol/L, the result of curve fitting is:

General model:

Coefficients (with 95% confidence bounds):

a = 0.3241 (0.299, 0.3492)

b = 35.95 (-79.99, 151.9)

c = 1.829 (0.3231, 3.334)

Goodness of fit:

SSE: 0.00333

R-square: 0.9676

Adjusted R-square: 0.9567

RMSE: 0.02356

Figure 1: The curve is matched by the formula mentioned above.

When the concentration of IPTG=0.4mmol/L, the result of curve fitting is:

General model:

Coefficients (with 95% confidence bounds):

a = 0.3474 (0.3261, 0.3686)

b = 46.66 (-63.55, 156.9)

c = 1.828 (0.7647, 2.892)

Goodness of fit:

SSE: 0.00232

R-square: 0.9808

Adjusted R-square: 0.9744

RMSE: 0.01966

Figure 2: The curve is matched by the formula mentioned above.

When the concentration of IPTG=0.5mmol/L, the result of curve fitting is:

General model:

Coefficients (with 95% confidence bounds):

a = 0.3465 (0.3206, 0.3723)

b = 49.63 (-79.79, 179)

c = 1.76 (0.6333, 2.886)

Goodness of fit:

SSE: 0.003338

R-square: 0.9732

Adjusted R-square: 0.9642

RMSE: 0.02359

Figure 3: The curve is matched by the formula mentioned above.

2.The Hill Equation

By the work of first part, it is found that the concentration of dsRNA will become steady after around 4 hours, so we regard the concentration of dsRNA after 4 hours’ culture as that of steady state. Then the Hill equation is applied to model the relationship between the concentration of IPTG and the production of dsRNA, the result of curve fitting is: (where is the maximal data we can get from the data)

General model:

Coefficients (with 95% confidence bounds):

Xm = 0.1265 (0.08411, 0.1689)

n = 2.239 (0.8187, 3.658)

Goodness of fit:

SSE: 0.003107

R-square: 0.9062

Adjusted R-square: 0.8828

RMSE: 0.02787

Figure 4: The curve is matched by the formula mentioned above.

We sorted out data and parameters and then beautified the graph.

Figure 5: It shows the relationship between the concentration of IPTG and the production of dsRNA.

Figure 5 shows the relationship between the concentration of IPTG and the production of dsRNA. According to this mathematical model, we can work out the accurate production of dsRNA which is fed to the larvae with the concentration of IPTG which is put into the bacterial system to induce T7 promoter.

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+<body>
+<div id="div1"><img
-<body lang=ZH-CN style='tab-interval:21.0pt;text-justify-trim:punctuation'>
+src="https://static.igem.org/mediawiki/2015/f/f9/Fafu_bg22.jpg"/></div>
+<div id="div1"><div id="cbg">
+<br>
+<br>
+<br>
+<br>
+<div id="headline">Modeling</div>
+<br>
+<br>
-<div class=WordSection1 style='layout-grid:15.6pt'>
+<div id="sub"><p><span style="display:-moz-inline-box;
-<p class=MsoTitle><a name="OLE_LINK2"></a><a name="OLE_LINK1"><span
+display:inline-block; width:25px;"></span>Remark: Team SCUT help us with some of our modeling work.
-style='mso-bookmark:OLE_LINK2'><span lang=EN-US style='font-size:14.0pt;
+</p></div><br>
-font-family:"Arial Unicode MS","sans-serif";font-weight:normal;mso-bidi-font-weight:
+<div id="sub"><p><span style="display:-moz-inline-box;
-bold'>Modeling<o:p></o:p></span></span></a></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:25px;"></span>In FAFU’s project, it
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>In
-FAFU’s project, it is difficult to measure the quantitative data and determine
-the amount of <span class=SpellE>dsRNAs</span> which is fed to the larvae. So
-in the modeling part, we <a name="OLE_LINK6"></a><a name="OLE_LINK5"></a><a
-name="OLE_LINK4"><span style='mso-bookmark:OLE_LINK5'><span style='mso-bookmark:
-OLE_LINK6'>devote</span></span></a>d to establishing an accurate mathematical
-model to simulate the dsRNA expression according to the mechanism of T7
-promoter. After the model is built, we can determine the relationship between
-the concentration of IPTG and the production of <span class=GramE>dsRNA .</span>
-Then we can <span class=GramE>control <span
-style='mso-spacerun:yes'>&nbsp;</span>the</span> amount of <span class=SpellE>dsRNAs</span>
-which if fed to the larvae by controlling the concentration of IPTG easily.<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+is difficult to measure the quantitative data and determine the
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><o:p>&nbsp;</o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+amount of dsRNAs which is fed to the larvae. So in the modeling
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>We
-know that T7 promoter is a kind of inducible promoter. Hill equation can be
-used to simulate the effect of T7 promoter. In T7 strength model, the
-independent variable is the concentration of IPTG, and the dependent variable
-is the production of dsRNA.<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+part, we devoted to establishing an accurate mathematical model to
-OLE_LINK2'><b style='mso-bidi-font-weight:normal'><span lang=EN-US
-style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><o:p>&nbsp;</o:p></span></b></span></span></p>
-<p class=MsoListParagraph style='margin-left:18.0pt;text-indent:-18.0pt;
+simulate the dsRNA expression according to the mechanism of T7
-mso-char-indent-count:0;mso-list:l0 level1 lfo1'><span style='mso-bookmark:
-OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><![if !supportLists]><b
-style='mso-bidi-font-weight:normal'><span lang=EN-US style='font-size:12.0pt;
-font-family:"Arial Unicode MS","sans-serif"'><span style='mso-list:Ignore'>1.<span
-style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span></b><![endif]><b
-style='mso-bidi-font-weight:normal'><span lang=EN-US style='font-size:12.0pt;
-font-family:"Arial Unicode MS","sans-serif"'>The Model Simulating the Change of
-dsRNA with Time in Different Concentration of IPTG<o:p></o:p></span></b></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+promoter. After the model is built, we can determine the
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>By
-observing the pattern of the data, we figure out that the Logistic equation,
-which is often used to simulate the growth of population, can model the trend
-best. Thus, we adapt the formula <span style='position:relative;top:14.0pt;
-mso-text-raise:-14.0pt'><v:shapetype id="_x0000_t75" coordsize="21600,21600"
- o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f"
- stroked="f">
- <v:stroke joinstyle="miter"/>
- <v:formulas>
-  <v:f eqn="if lineDrawn pixelLineWidth 0"/>
-  <v:f eqn="sum @0 1 0"/>
-  <v:f eqn="sum 0 0 @1"/>
-  <v:f eqn="prod @2 1 2"/>
-  <v:f eqn="prod @3 21600 pixelWidth"/>
-  <v:f eqn="prod @3 21600 pixelHeight"/>
-  <v:f eqn="sum @0 0 1"/>
-  <v:f eqn="prod @6 1 2"/>
-  <v:f eqn="prod @7 21600 pixelWidth"/>
-  <v:f eqn="sum @8 21600 0"/>
-  <v:f eqn="prod @7 21600 pixelHeight"/>
-  <v:f eqn="sum @10 21600 0"/>
- </v:formulas>
- <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/>
- <o:lock v:ext="edit" aspectratio="t"/>
-</v:shapetype><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:114.75pt;
- height:36pt' o:ole="">
- <v:imagedata src="collaboration-FAFU-CHINA.files/image001.wmz" o:title=""/>
-</v:shape></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025"
-  DrawAspect="Content" ObjectID="_1504112933">
- </o:OLEObject>
-</xml><![endif]--><span style='mso-spacerun:yes'>&nbsp;</span>in the following
-fitting, where <span class=GramE><b style='mso-bidi-font-weight:normal'>a</b>
-is</span> the concentration of dsRNA in the steady state.<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+relationship between the concentration of IPTG and the production
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>When
-the concentration of IPTG=0.3mmol/L, the result of curve fitting is: <o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+of dsRNA . Then we can control  the amount of dsRNAs which if fed
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><o:p>&nbsp;</o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+to the larvae by controlling the concentration of IPTG
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>General
-model:<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+easily.</p></div><br>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span><span
-style='position:relative;top:14.0pt;mso-text-raise:-14.0pt'><v:shape id="_x0000_i1026"
- type="#_x0000_t75" style='width:153pt;height:48pt' o:ole="">
- <v:imagedata src="collaboration-FAFU-CHINA.files/image002.wmz" o:title=""/>
-</v:shape></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1026"
-  DrawAspect="Content" ObjectID="_1504112934">
- </o:OLEObject>
-</xml><![endif]--><o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+<div id="sub"><p><span style="display:-moz-inline-box;
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>Coefficients
-(with 95% confidence bounds):<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:25px;"></span>We know that T7 promoter
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>a =<span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span><span class=GramE>0.3241<span
-style='mso-spacerun:yes'>&nbsp; </span>(</span>0.299, 0.3492)<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+is a kind of inducible promoter. Hill equation can be used to
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>b =<span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span><span class=GramE>35.95<span
-style='mso-spacerun:yes'>&nbsp; </span>(</span>-79.99, 151.9)<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+simulate the effect of T7 promoter. In T7 strength model, the
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>c =<span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span><span class=GramE>1.829<span
-style='mso-spacerun:yes'>&nbsp; </span>(</span>0.3231, 3.334)<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+independent variable is the concentration of IPTG, and the
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><o:p>&nbsp;</o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+dependent variable is the production of dsRNA.</p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>Goodness
-of fit:<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+<br>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
+<div id="sub"><div id="headline2">1.The Model Simulating the
-style='mso-spacerun:yes'>&nbsp; </span>SSE: 0.00333<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+Change of dsRNA with Time in Different Concentration of
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp; </span>R-square: 0.9676<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+IPTG</div></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
+<br>
-style='mso-spacerun:yes'>&nbsp; </span>Adjusted R-square: 0.9567<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+<div id="sub"><p><span style="display:-moz-inline-box;
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp; </span>RMSE: 0.02356<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:25px;"></span>By observing the pattern
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif";
-mso-no-proof:yes'><v:shape id="图片_x0020_1" o:spid="_x0000_i1034" type="#_x0000_t75"
- style='width:415.5pt;height:268.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="collaboration-FAFU-CHINA.files/image003.png" o:title="IPTG3"/>
-</v:shape></span></span></span><span style='mso-bookmark:OLE_LINK1'><span
-style='mso-bookmark:OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;
-font-family:"Arial Unicode MS","sans-serif"'><o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+of the data, we figure out that the Logistic equation, which is
-OLE_LINK2'><span class=GramE><span lang=EN-US style='font-size:12.0pt;
-font-family:"Arial Unicode MS","sans-serif"'>Figure 1.</span></span></span></span><span
-style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><span
-lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>
-The curve is matched by the formula mentioned above.<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+often used to simulate the growth of population, can model the
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><o:p>&nbsp;</o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+trend best. Thus, we adapt the formula<img
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>When
-the concentration of IPTG=0. 4mmol/L, the result of curve fitting is:<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+src="https://static.igem.org/mediawiki/2015/6/67/FAFU-CHINA_MD1.png"
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><o:p>&nbsp;</o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+height="53" width="178" />in the following fitting, where a is the
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>General
-model:<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+concentration of dsRNA in the steady state.</p></div><br>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span><span
-style='position:relative;top:14.0pt;mso-text-raise:-14.0pt'><v:shape id="_x0000_i1027"
- type="#_x0000_t75" style='width:179.25pt;height:56.25pt' o:ole="">
- <v:imagedata src="collaboration-FAFU-CHINA.files/image004.wmz" o:title=""/>
-</v:shape></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1027"
-  DrawAspect="Content" ObjectID="_1504112935">
- </o:OLEObject>
-</xml><![endif]--><o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+<div id="sub"><p>When the concentration of IPTG=0.3mmol/L, the
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>Coefficients
-(with 95% confidence bounds):<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+result of curve fitting is: </p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>a =<span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span
-class=GramE>0.3474<span style='mso-spacerun:yes'>&nbsp; </span>(</span>0.3261,
-.3686)<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+<div id="sub"><p><span style="display:-moz-inline-box;
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>b =<span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span
-class=GramE>46.66<span style='mso-spacerun:yes'>&nbsp; </span>(</span>-63.55,
-.9)<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:25px;"></span>General model: <img
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>c =<span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span
-class=GramE>1.828<span style='mso-spacerun:yes'>&nbsp; </span>(</span>0.7647,
-.892)<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+src="https://static.igem.org/mediawiki/2015/6/67/FAFU-CHINA_MD1.png"
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><o:p>&nbsp;</o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+height="53" width="178" /></p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>Goodness
-of fit:<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+<div id="sub"><p><span style="display:-moz-inline-box;
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp; </span>SSE: 0.00232<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:25px;"></span>Coefficients (with 95%
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp; </span>R-square: 0.9808<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+confidence bounds): </p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
+<div id="sub"><p><span style="display:-moz-inline-box;
-style='mso-spacerun:yes'>&nbsp; </span>Adjusted R-square: 0.9744<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:50px;"></span>a = 0.3241 (0.299,
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp; </span>RMSE: 0.01966<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+.3492)</p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif";
+<div id="sub"><p><span style="display:-moz-inline-box;
-mso-no-proof:yes'><v:shape id="图片_x0020_2" o:spid="_x0000_i1033" type="#_x0000_t75"
- style='width:415.5pt;height:264pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="collaboration-FAFU-CHINA.files/image005.png" o:title="IPTG4"/>
-</v:shape></span></span></span><span style='mso-bookmark:OLE_LINK1'><span
-style='mso-bookmark:OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;
-font-family:"Arial Unicode MS","sans-serif"'><o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:50px;"></span>b = 35.95 (-79.99,
-OLE_LINK2'><span class=GramE><span lang=EN-US style='font-size:12.0pt;
-font-family:"Arial Unicode MS","sans-serif"'>Figure 2.</span></span></span></span><span
-style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><span
-lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>
-The curve is matched by the formula mentioned above.<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+.9)</p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><o:p>&nbsp;</o:p></span></span></span></p>
+<div id="sub"><p><span style="display:-moz-inline-box;
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:50px;"></span>c = 1.829 (0.3231,
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>When
-the concentration of IPTG=0. 5mmol/L, the result of curve fitting is:<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+.334)</p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>General
-model:<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+<div id="sub"><p><span style="display:-moz-inline-box;
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span><span
-style='position:relative;top:14.0pt;mso-text-raise:-14.0pt'><v:shape id="_x0000_i1028"
- type="#_x0000_t75" style='width:181.5pt;height:57pt' o:ole="">
- <v:imagedata src="collaboration-FAFU-CHINA.files/image006.wmz" o:title=""/>
-</v:shape></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1028"
-  DrawAspect="Content" ObjectID="_1504112936">
- </o:OLEObject>
-</xml><![endif]--><o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:25px;"></span>Goodness of fit:
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>Coefficients
-(with 95% confidence bounds):<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+</p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
+<div id="sub"><p><span style="display:-moz-inline-box;
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>a =<span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span
-class=GramE>0.3465<span style='mso-spacerun:yes'>&nbsp; </span>(</span>0.3206,
-.3723)<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:50px;"></span>SSE: 0.00333</p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
+<div id="sub"><p><span style="display:-moz-inline-box;
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>b =<span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span
-class=GramE>49.63<span style='mso-spacerun:yes'>&nbsp; </span>(</span>-79.79,
-)<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:50px;"></span>R-square:
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>c =<span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span
-class=GramE>1.76<span style='mso-spacerun:yes'>&nbsp; </span>(</span>0.6333,
-.886)<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+.9676</p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><o:p>&nbsp;</o:p></span></span></span></p>
+<div id="sub"><p><span style="display:-moz-inline-box;
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:50px;"></span>Adjusted R-square:
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>Goodness
-of fit:<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+.9567</p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
+<div id="sub"><p><span style="display:-moz-inline-box;
-style='mso-spacerun:yes'>&nbsp; </span>SSE: 0.003338<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:50px;"></span>RMSE: 0.02356</p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp; </span>R-square: 0.9732<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+<div id="sub"><p><span style="display:-moz-inline-box;
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp; </span>Adjusted R-square: 0.9642<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:25px;"></span><img
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp; </span>RMSE: 0.02359<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+src="https://static.igem.org/mediawiki/2015/2/2c/FAFU-CHINA_MD2.png"
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif";
-mso-no-proof:yes'><v:shape id="图片_x0020_3" o:spid="_x0000_i1032" type="#_x0000_t75"
- style='width:415.5pt;height:264pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="collaboration-FAFU-CHINA.files/image007.png" o:title="IPTG5"/>
-</v:shape></span></span></span><span style='mso-bookmark:OLE_LINK1'><span
-style='mso-bookmark:OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;
-font-family:"Arial Unicode MS","sans-serif"'><o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+height="393.3" width="608.4"/></p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>Figure
-<span class=GramE>The</span> curve is matched by the formula mentioned above.<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+<div id="sub"><i><span style="display:-moz-inline-box;
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><o:p>&nbsp;</o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:25px;"></span>Figure 1: The curve is
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><o:p>&nbsp;</o:p></span></span></span></p>
-<p class=MsoListParagraph style='margin-left:18.0pt;text-indent:-18.0pt;
+matched by the formula mentioned above.</i></div>
-mso-char-indent-count:0;mso-list:l0 level1 lfo1'><span style='mso-bookmark:
-OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><![if !supportLists]><b
-style='mso-bidi-font-weight:normal'><span lang=EN-US style='font-size:12.0pt;
-font-family:"Arial Unicode MS","sans-serif"'><span style='mso-list:Ignore'>2.<span
-style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp; </span></span></span></b><![endif]><b
-style='mso-bidi-font-weight:normal'><span lang=EN-US style='font-size:12.0pt;
-font-family:"Arial Unicode MS","sans-serif"'>The Hill Equation<o:p></o:p></span></b></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+<div id="sub"><p>When the concentration of IPTG=0.4mmol/L, the
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>By
-the work of first part, it is found that the concentration of dsRNA will become
-steady after around 4 hours, so we regard the concentration of dsRNA after 4
-hours’ culture as that of steady state. Then the Hill equation is applied to
-model the relationship between the concentration of IPTG and the production of
-dsRNA, the result of curve fitting is: (where </span></span></span><span
-style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'></span></span><!--[if gte msEquation 12]><m:oMath><span
- style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'></span></span><m:sSub><m:sSubPr><span
-   style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
-   font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
-   mso-fareast-font-family:"Arial Unicode MS";mso-hansi-font-family:"Arial Unicode MS";
-   mso-bidi-font-family:"Arial Unicode MS"'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><span
-   style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><m:r><i
-    style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
-    font-family:"Cambria Math","serif";mso-fareast-font-family:"Arial Unicode MS";
-    mso-bidi-font-family:"Arial Unicode MS"'>P</span></i></m:r></span></span><span
-   style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'></span></span></m:e><m:sub><span
-   style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><m:r><i
-    style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
-    font-family:"Cambria Math","serif";mso-fareast-font-family:"Arial Unicode MS";
-    mso-bidi-font-family:"Arial Unicode MS"'>max</span></i></m:r></span></span><span
-   style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'></span></span></m:sub></m:sSub><span
- style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><m:r><i
-  style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
-  font-family:"Cambria Math","serif";mso-fareast-font-family:"Arial Unicode MS";
-  mso-hansi-font-family:"Arial Unicode MS";mso-bidi-font-family:"Arial Unicode MS"'>=0.3375</span></i></m:r></span></span></m:oMath><![endif]--><![if !msEquation]><span
-lang=EN-US style='font-size:10.5pt;mso-bidi-font-size:11.0pt;font-family:"Calibri","sans-serif";
-mso-ascii-theme-font:minor-latin;mso-fareast-font-family:宋体;mso-fareast-theme-font:
-minor-fareast;mso-hansi-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman";
-mso-bidi-theme-font:minor-bidi;position:relative;top:3.0pt;mso-text-raise:-3.0pt;
-mso-ansi-language:EN-US;mso-fareast-language:ZH-CN;mso-bidi-language:AR-SA'><v:shape
- id="_x0000_i1025" type="#_x0000_t75" style='width:75.75pt;height:15.75pt'>
- <v:imagedata src="collaboration-FAFU-CHINA.files/image008.png" o:title=""
-  chromakey="white"/>
-</v:shape></span><![endif]><span style='mso-bookmark:OLE_LINK1'><span
-style='mso-bookmark:OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;
-font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp;</span>is the maximal data we can get from the
-data)<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+result of curve fitting is: </p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><o:p>&nbsp;</o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+<div id="sub"><p><span style="display:-moz-inline-box;
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>General
-model:<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:25px;"></span>General model: <img
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span><span
-style='position:relative;top:15.0pt;mso-text-raise:-15.0pt'><v:shape id="_x0000_i1029"
- type="#_x0000_t75" style='width:174.75pt;height:57pt' o:ole="">
- <v:imagedata src="collaboration-FAFU-CHINA.files/image009.wmz" o:title=""/>
-</v:shape></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1029"
-  DrawAspect="Content" ObjectID="_1504112938">
- </o:OLEObject>
-</xml><![endif]--><o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+src="https://static.igem.org/mediawiki/2015/6/67/FAFU-CHINA_MD1.png"
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>Coefficients
-(with 95% confidence bounds):<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+height="53" width="178" /></p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>X<sub>M</sub>
-=<span style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span><span
-class=GramE>0.1265<span style='mso-spacerun:yes'>&nbsp; </span>(</span>0.08411,
-.1689)<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+<div id="sub"><p><span style="display:-moz-inline-box;
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>n =<span
-style='mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span
-class=GramE>2.239<span style='mso-spacerun:yes'>&nbsp; </span>(</span>0.8187,
-.658)<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:25px;"></span>Coefficients (with 95%
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><o:p>&nbsp;</o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+confidence bounds): </p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>Goodness
+<div id="sub"><p><span style="display:-moz-inline-box;
-of fit:<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:50px;"></span>a = 0.3474 (0.3261,
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp; </span>SSE: 0.003107<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+.3686)</p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
+<div id="sub"><p><span style="display:-moz-inline-box;
-style='mso-spacerun:yes'>&nbsp; </span>R-square: 0.9062<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:50px;"></span>b = 46.66 (-63.55,
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
-style='mso-spacerun:yes'>&nbsp; </span>Adjusted R-square: 0.8828<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+.9)</p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><span
+<div id="sub"><p><span style="display:-moz-inline-box;
-style='mso-spacerun:yes'>&nbsp; </span>RMSE: 0.02787<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:50px;"></span>c = 1.828 (0.7647,
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif";
-mso-no-proof:yes'><v:shape id="图片_x0020_4" o:spid="_x0000_i1031" type="#_x0000_t75"
- style='width:415.5pt;height:264pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="collaboration-FAFU-CHINA.files/image010.png" o:title="Hill"/>
-</v:shape></span></span></span><span style='mso-bookmark:OLE_LINK1'><span
-style='mso-bookmark:OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;
-font-family:"Arial Unicode MS","sans-serif"'><o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+.892)</p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>Figure
-<span class=GramE>The</span> curve is matched by the formula mentioned above.<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+<div id="sub"><p><span style="display:-moz-inline-box;
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><o:p>&nbsp;</o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:25px;"></span>Goodness of fit:
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>We
-sorted out data and parameters and then beautified the graph.<o:p></o:p></span></span></span></p>
-<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0
+</p></div>
- style='border-collapse:collapse;border:none;mso-border-alt:solid windowtext .5pt;
+<div id="sub"><p><span style="display:-moz-inline-box;
- mso-yfti-tbllook:1184;mso-padding-alt:0cm 5.4pt 0cm 5.4pt'>
- <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes'>
-  <td width=189 valign=top style='width:142.0pt;border:solid windowtext 1.0pt;
-  mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt'>
-  <p class=MsoNormal align=center style='text-align:center'><span
-  style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><span
-  lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>Parameter<o:p></o:p></span></span></span></p>
-  </td>
-  <span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'></span></span>
-  <td width=189 valign=top style='width:142.05pt;border:solid windowtext 1.0pt;
-  border-left:none;mso-border-left-alt:solid windowtext .5pt;mso-border-alt:
-  solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt'>
-  <p class=MsoNormal align=center style='text-align:center'><span
-  style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><span
-  lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>value<o:p></o:p></span></span></span></p>
-  </td>
-  <span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'></span></span>
-  <td width=189 valign=top style='width:142.05pt;border:solid windowtext 1.0pt;
-  border-left:none;mso-border-left-alt:solid windowtext .5pt;mso-border-alt:
-  solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt'>
-  <p class=MsoNormal align=center style='text-align:center'><span
-  style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><span
-  lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>unit<o:p></o:p></span></span></span></p>
-  </td>
-  <span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'></span></span>
- </tr>
- <tr style='mso-yfti-irow:1'>
-  <td width=189 valign=top style='width:142.0pt;border:solid windowtext 1.0pt;
-  border-top:none;mso-border-top-alt:solid windowtext .5pt;mso-border-alt:solid windowtext .5pt;
-  padding:0cm 5.4pt 0cm 5.4pt'>
-  <p class=MsoNormal align=center style='text-align:center'><span
-  style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><span
-  lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>n<o:p></o:p></span></span></span></p>
-  </td>
-  <span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'></span></span>
-  <td width=189 valign=top style='width:142.05pt;border-top:none;border-left:
-  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
-  mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
-  mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt'>
-  <p class=MsoNormal align=center style='text-align:center'><span
-  style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><span
-  lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>2.239<o:p></o:p></span></span></span></p>
-  </td>
-  <span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'></span></span>
-  <td width=189 valign=top style='width:142.05pt;border-top:none;border-left:
-  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
-  mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
-  mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt'><span
-  style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'></span></span>
-  <p class=MsoNormal align=center style='text-align:center'><span
-  style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><span
-  lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><o:p>&nbsp;</o:p></span></span></span></p>
-  </td>
-  <span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'></span></span>
- </tr>
- <tr style='mso-yfti-irow:2;mso-yfti-lastrow:yes'>
-  <td width=189 valign=top style='width:142.0pt;border:solid windowtext 1.0pt;
-  border-top:none;mso-border-top-alt:solid windowtext .5pt;mso-border-alt:solid windowtext .5pt;
-  padding:0cm 5.4pt 0cm 5.4pt'>
-  <p class=MsoNormal align=center style='text-align:center'><span
-  style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><span
-  lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>X<sub>M</sub><o:p></o:p></span></span></span></p>
-  </td>
-  <span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'></span></span>
-  <td width=189 valign=top style='width:142.05pt;border-top:none;border-left:
-  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
-  mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
-  mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt'>
-  <p class=MsoNormal align=center style='text-align:center'><span
-  style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><span
-  lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>0.1265<o:p></o:p></span></span></span></p>
-  </td>
-  <span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'></span></span>
-  <td width=189 valign=top style='width:142.05pt;border-top:none;border-left:
-  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
-  mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
-  mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt'>
-  <p class=MsoNormal align=center style='text-align:center'><span
-  style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><span
-  style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>μ<span
-  lang=EN-US>g/</span>μ<span lang=EN-US>L<o:p></o:p></span></span></span></span></p>
-  </td>
-  <span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'></span></span>
- </tr>
-</table>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:50px;"></span>SSE: 0.00232</p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif";
+<div id="sub"><p><span style="display:-moz-inline-box;
-mso-no-proof:yes'><v:shape id="图片_x0020_5" o:spid="_x0000_i1030" type="#_x0000_t75"
- style='width:358.5pt;height:268.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="collaboration-FAFU-CHINA.files/image011.jpg" o:title=""/>
-</v:shape></span></span></span><span style='mso-bookmark:OLE_LINK1'><span
-style='mso-bookmark:OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;
-font-family:"Arial Unicode MS","sans-serif"'><o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+display:inline-block; width:50px;"></span>R-square:
-OLE_LINK2'><span class=GramE><span lang=EN-US style='font-size:12.0pt;
-font-family:"Arial Unicode MS","sans-serif"'>Figure 5.</span></span></span></span><span
-style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:OLE_LINK2'><span
-lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>
-It shows the relationship between the concentration of IPTG and the production
-of dsRNA<o:p></o:p></span></span></span></p>
-<p class=MsoNormal><span style='mso-bookmark:OLE_LINK1'><span style='mso-bookmark:
+.9808</p></div>
-OLE_LINK2'><span lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'>Figure
+<div id="sub"><p><span style="display:-moz-inline-box;
-shows the relationship between the concentration of IPTG and the production
-of dsRNA. According to this mathematical model, we can work out the accurate
-production of dsRNA which is fed to the larvae with the concentration of IPTG
-which is put into the bacterial system to induce T7 promoter.</span></span></span><span
-lang=EN-US style='font-size:12.0pt;font-family:"Arial Unicode MS","sans-serif"'><o:p></o:p></span></p>
-</div>
+display:inline-block; width:50px;"></span>Adjusted R-square:
-</body>
+.9744</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
-</html>
+display:inline-block; width:50px;"></span>RMSE: 0.01966</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:25px;"></span><img
-        </div>
+src="https://static.igem.org/mediawiki/2015/e/ea/FAFU-CHINA_MD3.png"
-	</section>
-	<section class="com__section com__section--text com__section--text-img">
+height="393.3" width="608.4"/></p></div>
-		<div class="com__section-half">
-			<h1 class="animate slideInLeft">Communication Design</h1>
+<div id="sub"><i><span style="display:-moz-inline-box;
-			<p class="animate slideInLeft delay-2">Communication design is a mixed discipline between design and information-development which is concerned with how media intermission such as printed, crafted, electronic media or presentations communicate with people.</p>
-		</div>
+display:inline-block; width:25px;"></span>Figure 2: The curve is
-		<div class="com__section-half">
-			<img class="animate slideInRight delay-3" src="world.svg" alt="" />
+matched by the formula mentioned above.</i></div>
-		</div>
-	</section>
+<div id="sub"><p>When the concentration of IPTG=0.5mmol/L, the
-	<section class="com__section com__section--text centered">
-		<h1 class="animate scaleIn">A5源码</h1>
+result of curve fitting is: </p></div>
-		<img class="animate scaleIn delay-3" src="world.svg" alt="" />
-	</section>
+<div id="sub"><p><span style="display:-moz-inline-box;
-	<section class="com__section com__section--text">
-		<h1 class="animate slideInLeft ">Communication Design</h1>
+display:inline-block; width:25px;"></span>General model: <img
-		<p class="animate slideInLeft delay-3">Communication design is a mixed discipline between design and information-development which is concerned with how media intermission such as printed, crafted, electronic media or presentations communicate with people.</p>
-	</section>
+src="https://static.igem.org/mediawiki/2015/6/67/FAFU-CHINA_MD1.png"
-	<section class="com__section com__section--text com__section--text-img">
-		<div class="com__section-half">
+height="53" width="178" /></p></div>
-			<h1 class="animate slideInLeft">Communication Design</h1>
-			<p class="animate slideInLeft delay-2">Communication design is a mixed discipline between design and information-development which is concerned with how media intermission such as printed, crafted, electronic media or presentations communicate with people.</p>
+<div id="sub"><p><span style="display:-moz-inline-box;
-		</div>
-		<div class="com__section-half">
+display:inline-block; width:25px;"></span>Coefficients (with 95%
-			<img class="animate slideInRight delay-3" src="world.svg" alt="" />
-		</div>
+confidence bounds): </p></div>
-	</section>
+<div id="sub"><p><span style="display:-moz-inline-box;
-	<section class="com__section com__section--text centered">
-		<h1 class="animate scaleIn">Communication Design</h1>
+display:inline-block; width:50px;"></span>a = 0.3465 (0.3206,
-		<img class="animate scaleIn delay-3" src="world.svg" alt="" />
-	</section>
+.3723)</p></div>
-	<section class="com__section com__section--text">
+<div id="sub"><p><span style="display:-moz-inline-box;
-		<h1 class="animate slideInLeft ">Communication Design</h1>
-		<p class="animate slideInLeft delay-3">Communication design is a mixed discipline between design and information-development which is concerned with how media intermission such as printed, crafted, electronic media or presentations communicate with people.</p>
+display:inline-block; width:50px;"></span>b = 49.63 (-79.79, 179)
-	</section>
+</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:50px;"></span>c = 1.76 (0.6333,
+.886)</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:25px;"></span>Goodness of fit:
+</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:50px;"></span>SSE: 0.003338</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:50px;"></span>R-square:
+.9732</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:50px;"></span>Adjusted R-square:
+.9642</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:50px;"></span>RMSE: 0.02359</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:25px;"></span><img
+src="https://static.igem.org/mediawiki/2015/e/e6/FAFU-CHINA_MD4.png"
+height="393.3" width="608.4"/></p></div>
+<div id="sub"><i><span style="display:-moz-inline-box;
+display:inline-block; width:25px;"></span>Figure 3: The curve is
+matched by the formula mentioned above.</i></div>
+<br>
+<div id="sub"><div id="headline2">2.The Hill Equation</div></div>
+<br>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:25px;"></span>By the work of first
+part, it is found that the concentration of dsRNA will become
+steady after around 4 hours, so we regard the concentration of
+dsRNA after 4 hours’ culture as that of steady state. Then the
+Hill equation is applied to model the relationship between the
+concentration of IPTG and the production of dsRNA, the result of
+curve fitting is: (where  is the maximal data we can get from the
+data)</p></div><br>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:25px;"></span>General model: <img
+src="https://static.igem.org/mediawiki/2015/f/f2/FAFU-CHINA_MD5.png"
+height="53" width="178" /></p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:25px;"></span>Coefficients (with 95%
+confidence bounds): </p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:50px;"></span>Xm = 0.1265 (0.08411,
+.1689)</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:50px;"></span>n = 2.239 (0.8187,
+.658)</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:25px;"></span>Goodness of fit:
+</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:50px;"></span>SSE: 0.003107</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:50px;"></span>R-square:
+.9062</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:50px;"></span>Adjusted R-square:
+.8828</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:50px;"></span>RMSE: 0.02787</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:25px;"></span><img
+src="https://static.igem.org/mediawiki/2015/7/73/FAFU-CHINA_MD6.png"
+height="393.3" width="608.4"/></p></div>
+<div id="sub"><i><span style="display:-moz-inline-box;
+display:inline-block; width:25px;"></span>Figure 4: The curve is
+matched by the formula mentioned above.</i></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:25px;"></span>We sorted out data and
+parameters and then beautified the graph.</p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:25px;"></span><img
+src="https://static.igem.org/mediawiki/2015/d/d6/FAFU-CHINA_MD7.png"
+width="608"/></p></div>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:25px;"></span><img
+src="https://static.igem.org/mediawiki/2015/e/ea/FAFU-CHINA_MD8.png"
+height="393.3" width="608.4"/></p></div>
+<div id="sub"><i><span style="display:-moz-inline-box;
+display:inline-block; width:25px;"></span>Figure 5: It shows the
+relationship between the concentration of IPTG and the production
+of dsRNA.</i></div>
+<br>
+<div id="sub"><p><span style="display:-moz-inline-box;
+display:inline-block; width:25px;"></span>Figure 5 shows the
+relationship between the concentration of IPTG and the production
+of dsRNA. According to this mathematical model, we can work out
+the accurate production of dsRNA which is fed to the larvae with
+the concentration of IPTG which is put into the bacterial system
+to induce T7 promoter.</p></div>
+<br>
+<br>
+<div id="div1">
+<div style="height:100%; width:100%;"></div>
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