Table 2 Biochemical reactions in P. aeruginosa LasR/I circuit.

I → I+A

Production of A

\(\frac{{{\rm{V}}}_{{\rm{A}}}I}{{K}_{A}+I}\)

A → null

Natural decay of A

\({{\rm{d}}}_{{\rm{A}}}A\)

R + A → P

Combination of R and A

\({{\rm{k}}}_{{\rm{RA}}}RA\)

P → R + A

Dissociation of P

\({{\rm{d}}}_{{\rm{P}}}{\rm{P}}\)

R → null

Decay of LasR protein

\({{\rm{d}}}_{{\rm{R}}}R\)

r → r + R

Translation of lasR mRNA

\({{\rm{k}}}_{{\rm{r}}}r\)

null → r

Transcription of lasR

\({{\rm{r}}}_{0}+{V}_{r}Z(\frac{1-{e}^{-\beta V}}{{K}_{r1}+Z}+\frac{{e}^{-\beta V}}{{K}_{r2}+Z})\)

r → null

Decay of lasR mRNA

\({{\rm{d}}}_{{\rm{r}}}r\)

\({\rm{i}}\to {\rm{i}}+{\rm{I}}\)

Translation of lasR mRNA

\({{\rm{k}}}_{{\rm{i}}}i\)

I → null

Decay of LasI protein

\({{\rm{d}}}_{{\rm{I}}}I\)

null → i

Transcription of lasI

\({{\rm{i}}}_{0}+\frac{{V}_{i}Z}{{K}_{i}+Z}\)

i → null

Decay of lasI mRNA

\({{\rm{d}}}_{{\rm{i}}}i\)

2P → Z

Dimerization of P

\({{\rm{k}}}_{{\rm{Z}}}{P}^{2}\)

Z → 2P

Dissociation of Z

\({{\rm{d}}}_{{\rm{Z}}}Z\)

\({\rm{R}}+{{\rm{Q}}}_{{\rm{I}}}\to {\rm{F}}\)

Combination of R and QSI

\({{\rm{k}}}_{{\rm{RQ}}}R{Q}_{I}\)

F → R + Q_I

Dissociation of F

\({{\rm{d}}}_{{\rm{F}}}F\)

F → Q

Degradation of R in F

\({{\rm{d}}}_{{\rm{R}}}F\)

A → null

Degradation of A by QQ

\({\rm{\eta }}({{\rm{Q}}}_{{\rm{Q}}})A\)