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Team:HokkaidoU Japan/Promoter
From 2013.igem.org
(Difference between revisions)
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\begin{align*} | \begin{align*} | ||
| - | p&=\frac{W_{bound}}{W_{unbound}+W_{bound}} \\[6pt] | + | p&=\frac{W_{\mathrm{bound}}}{W_{\mathrm{unbound}}+W_{\mathrm{bound}}} \\[6pt] |
&=\frac{ \frac{P}{N_{\mathrm{NS}}} \exp\left(-\frac{\varepsilon_{\mathrm{S}} - \varepsilon_{\mathrm{NS}}}{\kappa_{\mathrm{B}}T} \right) }{1+\frac{P}{N_{\mathrm{NS}}} \exp\left(-\frac{\varepsilon_{\mathrm{S}} - \varepsilon_{\mathrm{NS}}}{\kappa_{\mathrm{B}}T} \right) } \\[6pt] | &=\frac{ \frac{P}{N_{\mathrm{NS}}} \exp\left(-\frac{\varepsilon_{\mathrm{S}} - \varepsilon_{\mathrm{NS}}}{\kappa_{\mathrm{B}}T} \right) }{1+\frac{P}{N_{\mathrm{NS}}} \exp\left(-\frac{\varepsilon_{\mathrm{S}} - \varepsilon_{\mathrm{NS}}}{\kappa_{\mathrm{B}}T} \right) } \\[6pt] | ||
\mathrm{suppose\ that} &\frac{P}{N_{\mathrm{NS}}} \exp\left(-\frac{\varepsilon_{\mathrm{S}} - \varepsilon_{\mathrm{NS}}}{\kappa_{\mathrm{B}}T} \right) \ll 1 \\[6pt] | \mathrm{suppose\ that} &\frac{P}{N_{\mathrm{NS}}} \exp\left(-\frac{\varepsilon_{\mathrm{S}} - \varepsilon_{\mathrm{NS}}}{\kappa_{\mathrm{B}}T} \right) \ll 1 \\[6pt] | ||
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\[ | \[ | ||
p_i \propto \exp\left(-\frac{E_i}{\kappa_{\mathrm{B}}T}\right) | p_i \propto \exp\left(-\frac{E_i}{\kappa_{\mathrm{B}}T}\right) | ||
| + | \] | ||
| + | |||
| + | \[ | ||
| + | \varepsilon_{\mathrm{bind}} = \DeltaG = G_{\mathrm{bound} } - G_{\mathrm{unbound}} | ||
| + | \] | ||
<!-- end contents / begin footer --> | <!-- end contents / begin footer --> | ||
</div> | </div> | ||
Revision as of 17:50, 26 September 2013
Maestro E.coli
Promoter
\begin{align*}
p&=\frac{W_{\mathrm{bound}}}{W_{\mathrm{unbound}}+W_{\mathrm{bound}}} \\[6pt]
&=\frac{ \frac{P}{N_{\mathrm{NS}}} \exp\left(-\frac{\varepsilon_{\mathrm{S}} - \varepsilon_{\mathrm{NS}}}{\kappa_{\mathrm{B}}T} \right) }{1+\frac{P}{N_{\mathrm{NS}}} \exp\left(-\frac{\varepsilon_{\mathrm{S}} - \varepsilon_{\mathrm{NS}}}{\kappa_{\mathrm{B}}T} \right) } \\[6pt]
\mathrm{suppose\ that} &\frac{P}{N_{\mathrm{NS}}} \exp\left(-\frac{\varepsilon_{\mathrm{S}} - \varepsilon_{\mathrm{NS}}}{\kappa_{\mathrm{B}}T} \right) \ll 1 \\[6pt]
&\approx \frac{P}{N_{\mathrm{NS}}} \exp\left(-\frac{\varepsilon_{\mathrm{S}} - \varepsilon_{\mathrm{NS}}}{\kappa_{\mathrm{B}}T} \right) \\[6pt]
&\propto \exp\left(-\frac{\varepsilon_{-35}}{\kappa_{\mathrm{B}}T} \right)
\end{align*}
\[
p_i \propto \exp\left(-\frac{E_i}{\kappa_{\mathrm{B}}T}\right)
\]
\[
\varepsilon_{\mathrm{bind}} = \DeltaG = G_{\mathrm{bound} } - G_{\mathrm{unbound}}
\]
