Team:HokkaidoU Japan/Promoter
From 2013.igem.org
(Difference between revisions)
Line 22: | Line 22: | ||
p&=\frac{W_{bound}}{W_{unbound}+W_{bound}} \\ | 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} } } \\ | &=\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 \\ | + | &\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} | ||
- | |||
- | |||
- | |||
- | |||
<!-- end contents / begin footer --> | <!-- end contents / begin footer --> |
Revision as of 16:57, 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} } } \\
&\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}