Team:ETH Zurich/labblog/20140824mod

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(Difference between revisions)
(Fitting quorum sensing dynamic curves)
(Monday, August 24th)
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For very high initial concentrations AHLi, we have  
For very high initial concentrations AHLi, we have  
$$\frac{d[GFP]}{dt}=k_{45}[P_{tot}]-d_{GFP}[GFP]$$
$$\frac{d[GFP]}{dt}=k_{45}[P_{tot}]-d_{GFP}[GFP]$$
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  so by taking $$t_{1/2}=\frac{ln(2)}{d_{GFP}}$$ from experimental curves, we are able to retrieve $$d_{GFP} = 4.9 . 10^{-3} min^{-1}$$.
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  so by taking  
 +
 
 +
$$t_{1/2}=\frac{ln(2)}{d_{GFP}}$$
 +
 
 +
from experimental curves, we are able to retrieve  
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 +
$$d_{GFP} = 4.9 . 10^{-3} min^{-1}$$.
For very low initial concentrations of initial AHL and considering degradation, we have  
For very low initial concentrations of initial AHL and considering degradation, we have  
   
   
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  This way we can find from experimental curves $$d_{AHL}=4,0.10^{-3} min^{-1}$$
  This way we can find from experimental curves $$d_{AHL}=4,0.10^{-3} min^{-1}$$
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This AHL degradation rate is alumped parameter between internal and external degradation rates, equivalent to $$d_{AHLext}+\alpha d_{AHLint}$$ where &alpha is the fraction of the volume occupied by cells in the whole culture. From that on we could find reasonable values for internal and external AHL degradation rates.  
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This AHL degradation rate is alumped parameter between internal and external degradation rates, equivalent to
 +
$$d_{AHLext}+\alpha d_{AHLint}$$  
 +
where &alpha is the fraction of the volume occupied by cells in the whole culture. From that on we could find reasonable values for internal and external AHL degradation rates.  
Finally the curves simulated by our model with these parameters fit the experiments quite well:
Finally the curves simulated by our model with these parameters fit the experiments quite well:

Revision as of 19:58, 11 October 2014