Team:ETH Zurich/modeling/diffmodel

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(Difference between revisions)
(Deriving diffusion rates)
(Deriving diffusion rates)
Line 110: Line 110:
and the diffusion rate of external AHL is
and the diffusion rate of external AHL is
$$ \begin{align*}
$$ \begin{align*}
-
Diff(AHL_{ext})&=D_{AHLext}*\Delta[AHLext]+\frac{N \sigma \mathcal{A}}{V_{bead}} ([AHL_{ext}]-[AHL_{int}]\\
+
Diff(AHL_{ext})&=D_{AHLext}\Delta[AHLext]+\frac{N \sigma \mathcal{A}}{V_{bead}} ([AHL_{ext}]-[AHL_{int}]\\
-
&= D_{AHLext}*\Delta[AHLext]+\frac{N V_{E.coli}}{V_{bead}}D_m([AHL_{ext}]-[AHL_{int}]) \\
+
&= D_{AHLext}\Delta[AHLext]+\frac{N V_{E.coli}}{V_{bead}}D_m([AHL_{ext}]-[AHL_{int}]) \\
-
&= D_{AHLext}*\Delta[AHLext]+N \alpha D_m([AHL_{ext}]-[AHL_{int}])
+
&= D_{AHLext}\Delta[AHLext]+N \alpha D_m([AHL_{ext}]-[AHL_{int}])
\end{align*}$$
\end{align*}$$

Revision as of 03:16, 16 October 2014

iGEM ETH Zurich 2014