Degradation of C

The SCB protein (C) degrades.

Chemical equation

$C\rightarrow \varnothing$

Rate equation

$r= d_{C}\cdot[C]$

Parameters

The parameter of this reaction is the degradation rate of C ($d_{C}$). The parameter values were derived from measurements and estimations of autoinducer degradation rates from other bacteria (AHL, PAI2).

Name	Value	Units	Value in previous GBL models	Remarks-Reference
$d_{C}$	$0-0.001$	$min^{-1}$	$6.7 \cdot 10^{-5} s^{-1}$ (Range tested: $0-2 \cdot 10^{-4} s^{-1}$) (Bistability range: $0-0.0085 s^{-1}$ and $6.7 \cdot 10^{-6}-6.7 \cdot 10^{-3} s^{-1}$)	Chen et al. empirically calculated the degradation rate of the autoinducer PAI2 in Pseudomonas aeruginosa cultures and reported a best-fit degradation constant of $0.195 h^{-1} (0.00325 min^{-1})$. Chen et al. 2005 Additionally, the degradation rates of the quorum sensing autoinducer AHL have been measured in vitro by Kaufmann et al. and the reported rates for different AHLs are between $4.77 \cdot 10^{-6}-3.07 \cdot 10^{-5} s^{-1} (2.86 \cdot 10^{-4}-1.84 \cdot 10^{-3} min^{-1})$. Weber et al. also reported that the degradation rate of AHL in vivo has been estimated, and is within the range $5 \cdot 10^{-3}-2 \cdot 10^{-2} min^{-1}$. Kaufmann et al. 2005 Weber et al. 2011 With regards to SCBs in particular, according to a review by E. Takano these molecules are very stable and can be still detected after more than 12h into stationary phase. E. Takano 2006 Therefore, we can assume that the degradation rate of SCB is slower than the ones reported for other autoinducers and will not exceed the value $2 \cdot 10^{-2} min^{-1}$.

Parameters with uncertainty

The most plausible parameter value for the $d_{C}$ is decided to be $0.0002 min^{-1}$ and the confidence interval $2$. This means that the mode of the PDF is 0.0002 and the range where 95% of the values are found is between $0.0001$ and $0.0004 min^{-1}$.

The probability distribution for the parameter, adjusted accordingly in order to reflect the above values, is the following:

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The location and scale parameters of the distribution are:

Parameter	μ	σ
$d_{C}$	$-8.4046$	$0.3356$