Team:ETH Zurich/modeling/whole

From 2014.igem.org

(Difference between revisions)
(Equations)
(Equations)
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\frac{d[LuxR]}{dt} &= \alpha_{LuxR} -k_{RLux}[LuxAHL][LuxR] + k_{-RLux}[RLux] - d_{LuxR}[LuxR] \\
\frac{d[LuxR]}{dt} &= \alpha_{LuxR} -k_{RLux}[LuxAHL][LuxR] + k_{-RLux}[RLux] - d_{LuxR}[LuxR] \\
\frac{d[RLux]}{dt} &=  k_{RLux}[LuxAHL][LuxR] - k_{-RLux}[RLux] - d_{RLux} [RLux] \\  
\frac{d[RLux]}{dt} &=  k_{RLux}[LuxAHL][LuxR] - k_{-RLux}[RLux] - d_{RLux} [RLux] \\  
-
\frac{d[mRNA_{Bxb1}]}{dt} &= L_{P_{Lux}} + \frac{K_{mRNA_{Bxb1}}RLux^2}{K_{mLux} + RLux^2 }- d_{mRNA_{Bxb1}} [mRNA_{Bxb1}]\\
+
\frac{d[mRNA_{Bxb1}]}{dt} &= L_{P_{Lux}} + \frac{K_{mRNA_{Bxb1}}[RLux]^2}{K_{mLux} + [RLux]^2 }- d_{mRNA_{Bxb1}} [mRNA_{Bxb1}]\\
\frac{d[Bxb1]}{dt} &=  k_{Bxb1} [mRNA_{Bxb1}] -2 k_{DBxb1}[Bxb1]^2+ 2 k_{-DBxb1}[DBxb1] - d_{Bxb1}[Bxb1]\\
\frac{d[Bxb1]}{dt} &=  k_{Bxb1} [mRNA_{Bxb1}] -2 k_{DBxb1}[Bxb1]^2+ 2 k_{-DBxb1}[DBxb1] - d_{Bxb1}[Bxb1]\\
\frac{d[DBxb1]}{dt}&= k_{DBxb1}[Bxb1]^2-k_{-DBxb1}[DBxb1]-k_{SABxb1}[DBxb1][SI_{Bxb1}]+k_{-SABxb1}[SA_{Bxb1}]-d_{DBxb1}[DBxb1]\\
\frac{d[DBxb1]}{dt}&= k_{DBxb1}[Bxb1]^2-k_{-DBxb1}[DBxb1]-k_{SABxb1}[DBxb1][SI_{Bxb1}]+k_{-SABxb1}[SA_{Bxb1}]-d_{DBxb1}[DBxb1]\\
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\frac{d[LasR]}{dt} &= \alpha_{LasR} -k_{RLas}[LasAHL][LasR] + k_{-RLas}[RLas] - d_{LasR}[LasR] \\
\frac{d[LasR]}{dt} &= \alpha_{LasR} -k_{RLas}[LasAHL][LasR] + k_{-RLas}[RLas] - d_{LasR}[LasR] \\
\frac{d[RLas]}{dt} &=  k_{RLas}[LasAHL][LasR] - k_{-RLas}[RLas]  - d_{RLas} [RLas] \\  
\frac{d[RLas]}{dt} &=  k_{RLas}[LasAHL][LasR] - k_{-RLas}[RLas]  - d_{RLas} [RLas] \\  
-
\frac{d[mRNA_{\phi c31}]}{dt} &= L_{P_{Las}} + \frac{K_{mRNA_{\phi C31}}RLas^2}{K_{mLas} + RLas^2 } - d_{mRNA_{\phi c31}} [mRNA_{\phi c31}]\\
+
\frac{d[mRNA_{\phi c31}]}{dt} &= L_{P_{Las}} + \frac{K_{mRNA_{\phi C31}}[RLas]^2}{K_{mLas} + [RLas]^2 } - d_{mRNA_{\phi c31}} [mRNA_{\phi c31}]\\
\frac{d[\phi c31]}{dt} &=  k_{\phi c31} [mRNA_{\phi c31}] -2 k_{D\phi c31}[\phi c31]^2+ 2 k_{-D\phi c31}[D\phi c31] - d_{\phi c31}[\phi c31]\\
\frac{d[\phi c31]}{dt} &=  k_{\phi c31} [mRNA_{\phi c31}] -2 k_{D\phi c31}[\phi c31]^2+ 2 k_{-D\phi c31}[D\phi c31] - d_{\phi c31}[\phi c31]\\
-
\frac{d[D\phi c31]}{dt}&= +k_{D\phi c31}[\phi c31]^2-k_{-D\phi c31}[D\phi c31]-k_{SA\phi c31}[D\phi c31][SI_{\phi c31}]+k_{-SA\phi c31}[SA_{\phi c31}]-d_{D\phi c31}[D\phi c31]\\
+
\frac{d[D\phi c31]}{dt}&= k_{D\phi c31}[\phi c31]^2-k_{-D\phi c31}[D\phi c31]-k_{SA\phi c31}[D\phi c31][SI_{\phi c31}]+k_{-SA\phi c31}[SA_{\phi c31}]-d_{D\phi c31}[D\phi c31]\\
\frac{d[SA_{\phi c31}]}{dt}&=k_{SA\phi c31}[D\phi c31][SI_{\phi c31}]-k_{-SA\phi c31}[SA_{\phi c31}]\\
\frac{d[SA_{\phi c31}]}{dt}&=k_{SA\phi c31}[D\phi c31][SI_{\phi c31}]-k_{-SA\phi c31}[SA_{\phi c31}]\\
\end{align*}$$
\end{align*}$$

Revision as of 17:25, 12 October 2014

iGEM ETH Zurich 2014