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Team:HokkaidoU Japan/Promoter
From 2013.igem.org
(Difference between revisions)
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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 | |
| + | &\approx \frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } | ||
| + | &\propto e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } | ||
\end{align} | \end{align} | ||
Revision as of 16:56, 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}
\begin{align}
a_{11}& =b_{11}& a_{12}& =b_{12}\\
a_{21}& =b_{21}& a_{22}& =b_{22}+c_{22}
\end{align}
