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Team:ETH Zurich/Modeling/Analytical Approximation
From 2011.igem.org
4. GFP Band Existence
We can now derive a condition that has to be fulfilled in order for the GFP band to exist. Its meaning condenses down to the intuitive fact that the rising flank of the band has to occur "to the left" of the falling one. Mathematically, the condition can be derived from the following expression:
This condition simplifies to
In Figure 1, this means that the dash-dotted red line must be at a lower acetaldehyde concentration than the blue dash-dotted red line. We now analyze what possible outcomes this condition has:
Case Analysis
- Condition holds:
This case is covered by our actual system implementation. In our system - Corner Case (Equality):
- Condition failure:
