Expression Model

(Difference between revisions)

Revision as of 22:16, 6 September 2013

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-system:
-\begin{equation*}
-[\text{Rec}]'=k_\text{syn}-k_\text{deg} [\text{Rec}]
-\end{equation*}
-solution:
-\begin{equation*}
-[\text{Rec}]=e^{-k_\text{deg}t}\Big([\text{Rec}]_0-\frac{k_\text{syn}}{k_\text{deg}}\Big)+\frac{k_\text{syn}}{k_\text{deg}}
-\end{equation*}
-steady state:
-\begin{equation*}
-[\text{Rec}]_\infty=\frac{k_\text{syn}}{k_\text{deg}}
-\end{equation*}
-calibration:
-\begin{equation*}
-k_\text{deg}=ln\Big(\frac{[\text{Rec}]_0-[\text{Rec}]_\infty}{[\text{Rec}]-[\text{Rec}]_\infty}\Big)\frac{1}{t}
-\end{equation*}
-\begin{equation*}
-k_\text{syn}=ln\Big(\frac{[\text{Rec}]_0-[\text{Rec}]_\infty}{[\text{Rec}]-[\text{Rec}]_\infty}\Big)\frac{\text{[Rec}]_\infty}{t}
-\end{equation*}