Team:HokkaidoU Japan/Promoter
From 2013.igem.org
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p&=\frac{W_{bound}}{W_{unbound}+W_{bound}} | p&=\frac{W_{bound}}{W_{unbound}+W_{bound}} |
Revision as of 16:50, 26 September 2013
Maestro E.coli
Promoter
\begin{align}
p&=\frac{W_{bound}}{W_{unbound}+W_{bound}}
&=\frac{ \frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } }{1+\frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} }
suppose that \frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } \ll 1
&\approx \frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} }
&\propto e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} }
\end{align}
\(x=x+1\)