Team:ETH Zurich/modeling/diffmodel

From 2014.igem.org

(Difference between revisions)
(Set of equations used)
(Set of equations used)
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\begin{align*}
\begin{align*}
\frac{d[AHLext]}{dt} &= \frac{N_0 N_m e^{rt}}{N_m+N_0(e^{rt}-1)} \alpha\  D_m \ (AHL_{int}-AHL_{ext}) -d_{AHLext}[AHL_{ext}]\\
\frac{d[AHLext]}{dt} &= \frac{N_0 N_m e^{rt}}{N_m+N_0(e^{rt}-1)} \alpha\  D_m \ (AHL_{int}-AHL_{ext}) -d_{AHLext}[AHL_{ext}]\\
-
\frac{d[AHLint]}{dt} &= Dm (AHL_{ext}-AHL_{int}) + k_{-RLux}[R_{Lux}]-k_{RLux}[AHL_{int}][LuxR]-d_{LuxAHL}[AHL_{int}]\\
+
\frac{d[AHLint]}{dt} &= Dm (AHL_{ext}-AHL_{int}) + k_{-RLux}[R_{Lux}]-k_{RLux}[AHL_{int}][LuxR]-d_{AHLint}[AHL_{int}]\\
\frac{d[LuxR]}{dt} &= \alpha_{LuxR} -k_{RLux}[AHL_{int}][LuxR] + k_{-RLux}[RLux] - d_{LuxR}[LuxR] \\
\frac{d[LuxR]}{dt} &= \alpha_{LuxR} -k_{RLux}[AHL_{int}][LuxR] + k_{-RLux}[RLux] - d_{LuxR}[LuxR] \\
\frac{d[RLux]}{dt} &=  k_{RLux}[AHL_{int}][LuxR] - k_{-RLux}[RLux]  - d_{RLux} [RLux] \\  
\frac{d[RLux]}{dt} &=  k_{RLux}[AHL_{int}][LuxR] - k_{-RLux}[RLux]  - d_{RLux} [RLux] \\  

Revision as of 18:52, 16 October 2014

iGEM ETH Zurich 2014