Team:HokkaidoU Japan/Promoter
From 2013.igem.org
(Difference between revisions)
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<div id="hokkaidou-contents"> | <div id="hokkaidou-contents"> | ||
<!-- end header / begin contents --> | <!-- end header / begin contents --> | ||
+ | <script type="text/javascript" | ||
+ | src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_HTML"> | ||
+ | </script> | ||
+ | \[ | ||
+ | \begin{align} | ||
+ | p&=\frac{W_{bound}}{W_{unbound}+W_{bound}} | ||
+ | &=\frac{ \frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } }{1+\frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } | ||
+ | |||
+ | suppose that \frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } \ll 1 | ||
+ | &\approx \frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } | ||
+ | &\propto e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } | ||
+ | \end{align} | ||
+ | \] | ||
Revision as of 16:39, 26 September 2013
Maestro E.coli
Promoter
\[
\begin{align}
p&=\frac{W_{bound}}{W_{unbound}+W_{bound}}
&=\frac{ \frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } }{1+\frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} }
suppose that \frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} } \ll 1
&\approx \frac{P}{N_{NS}} e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} }
&\propto e^{\frac{\epsilon_S - \epsilon_{NS}}{\kappa_BT} }
\end{align}
\]