Synthesis of C

SCB1 (C) is synthesized by glycerol derivative and b-keto acid derivative precursors in a reaction catalyzed by ScbA (A).

Chemical equation

$S \xrightarrow{A} C$

Rate equation

In our model we assume that there is an infinite amount of substrate S for the SCB1 synthesis and that the rate of the reaction is dependent only on the concentration of the catalyst A. Therefore, the rate of the reaction is:

$r= K_{C}\cdot [A]$

Parameters

The parameter of this reaction is the synthesis rate of SCB1 ($K_{C}$).

Name	Value	Units	Origin	Remarks
$K_{C}$	Failed to parse (Cannot store math image on filesystem.): 0.01 - 1.2	$nM$	Value reported for Acyl homoserine lactone (AHL)in Vibrio fischeri and E. coli	The value was chosen with the assumption that GBL production involves one rate limiting step involving the Afsa-like protein and then spontaneous cyclization.

Parameters with uncertainty

The most plausible parameter value for the $K_{d2}$ is decided to be $5 nM$ and the confidence interval $1.1$. This means that the mode of the PDF is 5 and the range where 95% of the values are found is between 4.55 and 5.5 nM.

In a similar way, the most plausible value for $k^{-}_{2}$ is $0.9 min^{-1}$ and the confidence interval $1.3$. This means that the mode of the PDF is 0.9 and the range where 95% of the values are found is between 0.6923 and 1.17 $min^{-1}$.

The probability distributions for the two parameters, adjusted accordingly in order to reflect the above values, are the following:

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The location and scale parameters of the distributions are:

Parameter	μ	σ
$K_{d2}$	$1.6118$	$0.04834$
$k^{-}_{2}$	$-0.0878$	$0.1327$