Team:HokkaidoU Japan/Projects/H Stem

From 2014.igem.org

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\[ X+Y \overset{k_{\rm unbind}}{\underset{k_{\rm bind}}{\rightleftharpoons}} Z \]
\[ X+Y \overset{k_{\rm unbind}}{\underset{k_{\rm bind}}{\rightleftharpoons}} Z \]
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<h1 id="Overview">Overview</h1>
 
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<h1 id="How_To_Use">How To Use</h1>
 
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Detail
 
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\[ X+Y \overset{k_{\rm unbind}}{\underset{k_{\rm bind}}{\rightleftharpoons}} Z \]
 
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\begin{cases}
 
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  \dot{x}=a-bx-k_{\rm bind}xy+k_{\rm unbind}z & \\
 
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  \dot{y}=1-y-k_{\rm bind}xy+k_{\rm unbind}z & \\
 
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\[ y=\frac{1}{2} \biggl\{ \sqrt{ \bigl( a-1+\frac{b}{\gamma} \bigl)^2 +4 \frac{b}{\gamma}} - \Bigl( a-1+\frac{b}{\gamma} \Bigl) \biggl\} 　\]
 
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\[ \gamma = \frac{k_{\rm bind}c}{k_{\rm unbind}+c} \]
 
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Revision as of 16:11, 13 October 2014

Overview

How To Use

Modelling

Detail
\[ X+Y \overset{k_{\rm unbind}}{\underset{k_{\rm bind}}{\rightleftharpoons}} Z \] \begin{cases} \dot{x}=a-bx-k_{\rm bind}xy+k_{\rm unbind}z & \\ \dot{y}=1-y-k_{\rm bind}xy+k_{\rm unbind}z & \\ \dot{z}=k_{\rm bind}xy-k_{\rm unbind}z-cz & \end{cases} \[ y=\frac{1}{2} \biggl\{ \sqrt{ \bigl( a-1+\frac{b}{\gamma} \bigl)^2 +4 \frac{b}{\gamma}} - \Bigl( a-1+\frac{b}{\gamma} \Bigl) \biggl\} 　\] \[ \gamma = \frac{k_{\rm bind}c}{k_{\rm unbind}+c} \]

Retrieved from "http://2014.igem.org/Team:HokkaidoU_Japan/Projects/H_Stem"