Team:ETH Zurich/modeling/qs

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(Difference between revisions)
(Differential Equations)
(Differential Equations)
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Applying mass action kinetic laws, we obtain the following set of differential equations.
Applying mass action kinetic laws, we obtain the following set of differential equations.
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$$\frac{d[Lux-AHL]}{dt}&=k_{-RLux}[R_{Lux}]-k_{RLux}[Lux-AHL][LuxR]-d_{Lux-AHL}[Lux-AHL]\\
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$$\frac{d[Lux-AHL]}{dt}&=k_{-RLux}[R_{Lux}]-k_{RLux}[Lux-AHL][LuxR]-d_{Lux-AHL}[Lux-AHL]\\$$
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\frac{d[LuxR]}{dt} &= \alpha_{LuxR} -k_{RLux}[Lux-AHL][LuxR] + k_{-RLux}[R_{Lux}] - d_{LuxR}[LuxR] \\
+
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\frac{d[R_{Lux}]}{dt} &=  k_2 [AHL] [LuxR] - k_{-2} [R_{Lux}] - 2 k_3 [R_{Lux}]^2 + 2 k_{-3} [DR_{Lux}] - d_8 [R_{Lux}] \\$$
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Revision as of 19:04, 11 October 2014

iGEM ETH Zurich 2014