IGEM:IMPERIAL/2007/Projects/Biofilm Detector/Modelling/Construct2/Case 5

From OpenWetWare
Jump to: navigation, search

Construct 2: Case 5


Case 5 : Including Degradation Terms

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle \frac{d[LuxR]}{dt}=-\delta_{LuxR}-k_{3}[A]-k_{2}[LuxR][AHL]\cdots\cdots(1)}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle \frac{d[AHL]}{dt}=-\delta_{AHL}[AHL]+k_{3}[A]-k_{2}[LuxR][AHL]\cdots\cdots(2)}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle \frac{d[A]}{dt}\cdots\cdots(3)}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle \frac{d[A]}{dt}=-k_{3}[A]+k_{2}[LuxR][AHL]\cdots\cdots(4)}

Lumping degradation of LuxR and AHL into Activator Degradation term

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle [A]=[A]_{0}e^{-\left(\delta_{LuxR}+\delta_{AHL}\right)t}\cdots\cdots(5)}

We are not sure whether the natural degradation of the Activator complex is more dominate than the combined effects of the degradation rates of AHL and LuxR.