Expression Model

From 2013.igem.org

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{{:Team:Michigan_Template}}
 
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[[File:Expression.jpg|center]]
 
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[[File:ExpressionModelFigure.png|center]]
 
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[[File:ExpressionModel1.png|218px|center]]
 
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[[File:ExpressionModel2.png|343px|center]]
 
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[[File:ExpressionModel3.png|128px|center]]
 
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[[File:ExpressionModel4.png|269px|center]]
 
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[[File:ExpressionModel5.png|322px|center]]
 
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system:
 
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\begin{equation*}
 
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[\text{Rec}]'=k_\text{syn}-k_\text{deg} [\text{Rec}]
 
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\end{equation*}
 
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solution:
 
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\begin{equation*}
 
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[\text{Rec}]=e^{-k_\text{deg}t}\Big([\text{Rec}]_0-\frac{k_\text{syn}}{k_\text{deg}}\Big)+\frac{k_\text{syn}}{k_\text{deg}}
 
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\end{equation*}
 
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steady state:
 
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\begin{equation*}
 
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[\text{Rec}]_\infty=\frac{k_\text{syn}}{k_\text{deg}}
 
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\end{equation*}
 
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calibration:
 
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\begin{equation*}
 
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k_\text{deg}=ln\Big(\frac{[\text{Rec}]_0-[\text{Rec}]_\infty}{[\text{Rec}]-[\text{Rec}]_\infty}\Big)\frac{1}{t}
 
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\end{equation*}
 
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\begin{equation*}
 
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k_\text{syn}=ln\Big(\frac{[\text{Rec}]_0-[\text{Rec}]_\infty}{[\text{Rec}]-[\text{Rec}]_\infty}\Big)\frac{\text{[Rec}]_\infty}{t}
 
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\end{equation*}
 

Latest revision as of 22:59, 6 September 2013