Team:HokkaidoU Japan/Promoter
From 2013.igem.org
(Difference between revisions)
Line 19: | Line 19: | ||
- | \begin{align | + | \begin{align} |
p&=\frac{W_{bound}}{W_{unbound}+W_{bound}} \\ | p&=\frac{W_{bound}}{W_{unbound}+W_{bound}} \\ | ||
- | &=\frac{ \frac{P}{N_{NS}} | + | &=\frac{ \frac{P}{N_{NS}} \exp\left(\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } }{1+\frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } \right) \\ |
&\mathrm{suppose\ that} \frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } \ll 1 \\ | &\mathrm{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} } \\ | &\approx \frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } \\ | ||
&\propto e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } | &\propto e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } | ||
- | \end{align | + | \end{align} |
Revision as of 17:04, 26 September 2013
Maestro E.coli
Promoter
\begin{align}
p&=\frac{W_{bound}}{W_{unbound}+W_{bound}} \\
&=\frac{ \frac{P}{N_{NS}} \exp\left(\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } }{1+\frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } \right) \\
&\mathrm{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}