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     <div class="word">At the beginning, on the plasmid#1, the promoter $P_{arsR}$ isn't bound with ArsR,thus it is active.ArsR and smURFP are transcribed and translated under the control of the  
 
     <div class="word">At the beginning, on the plasmid#1, the promoter $P_{arsR}$ isn't bound with ArsR,thus it is active.ArsR and smURFP are transcribed and translated under the control of the  
 
         promoters $P_{arsR_{u}}$ and $P_{arsR_{d}}$,with subscript u and d representing upstream and downstream separately.The subscript l of smURFP in the equation means leaky expression without  
 
         promoters $P_{arsR_{u}}$ and $P_{arsR_{d}}$,with subscript u and d representing upstream and downstream separately.The subscript l of smURFP in the equation means leaky expression without  
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         the expression of $As^{3+}$.As ArsR is expressed gradually,it will bind with the promoter $P_{arsR}$ and make it inactive.</div>
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         the expression of $As^{3+}$.As ArsR is expressed gradually,it will bind with the promoter $P_{arsR}$ and make it inactive.[1]</div>
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    <div class="equation"> $ {$P_J23104$}\xrightarrow{$k_tx1$} $P_J23104$ + $mRNA_ArsR$</div>
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    <div class="number">(1)</div>
  
 
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Revision as of 17:47, 16 October 2018

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Dynamic Model of Heavy Metal Detection Biosensor
Minghui Yin,Sherry Dongqi Bao
TianJin University
October 15,2018
1 Introduction
Modeling is a powerful tool in synthetic biology. It provides us with a necessary engineering approach to characterize our pathways quantitatively and predict their performance,thus help us test and modify our design.Through the dynamic model of heavy-metal detection biosensor,we hope to gain insights into the characteristics of our whole circuit's dynamics.
2 Methods
2.1 Analysis of metabolic pathways
Figure 1: Metabolic pathways related to plasmid#1
At the beginning, on the plasmid#1, the promoter $P_{arsR}$ isn't bound with ArsR,thus it is active.ArsR and smURFP are transcribed and translated under the control of the promoters $P_{arsR_{u}}$ and $P_{arsR_{d}}$,with subscript u and d representing upstream and downstream separately.The subscript l of smURFP in the equation means leaky expression without the expression of $As^{3+}$.As ArsR is expressed gradually,it will bind with the promoter $P_{arsR}$ and make it inactive.[1]
$ {$P_J23104$}\xrightarrow{$k_tx1$} $P_J23104$ + $mRNA_ArsR$
(1)