"What I cannot create I do not understand."
- Richard Feynmann

Parameters

AHL module

Name	Value	Description	References/Estimation
\(K_{d,\text{LuxRAHL}}\)	100 nM	Dissociation constant between luxR and AHL	Weber, 2013
\(\text{LuxR}_\text{tot}\)	0.0025 μM	Total concentration of LuxR	estimated
\(a_\mathrm{LuxI}\)	1 μM.min^-1	Maximal production rate of LuxI	Basu, 2005
\(k_\mathrm{leaky}\)	0.0005 μM^-1	Leakiness of P_LuxR promoter	estimated
\(K_\mathrm{a,LuxRAHL}\)	0.01 μM	Activation coefficient of LuxRAHL	estimated
\(d_\mathrm{LuxI}\)	0.0167 min^-1	Degradation rate of LuxI	estimated
\(a_\mathrm{AHL}\)	0.04 μM.min^-1	Production rate of AHL	Weber, 2013
\(d_\mathrm{AHL}\)	0.01 min^-1	Degradation rate of AHL	Basu, 2005
\(v_\mathrm{AiiA}\)	\(k_\mathrm{cat} \cdot C_\mathrm{AiiA} \)	Maximal conversion rate of AiiA
\(k_\mathrm{cat}\)	1.63 10³min^-1	Turnover number of AiiA	Wang, 2004
\(C_\mathrm{AiiA}\)	0.05 μM	Concentration of AiiA
\(K_\mathrm{M,AiiA}\)	2.95 10³ μM	of AiiA	Wang, 2004
\(a_\mathrm{GFP}\)	2 μM.min^-1	Maximal production rate of GFP	Basu, 2005
\(d_\mathrm{GFP}\)	0.01 min^-1	Degradation rate of GFP	estimated

Name	Description	Minimum Value	Maximum Value	References/Estimation
\(\text{B}\)	\(\frac{Lac_\mathrm{ini}^2}{K_\mathrm{d,DLL}}\)	0.000001	4
\(\text{Lac}_{\text{ini}}\)	Initial concentration of lactate in the medium	0.1 μM	2 μM	Low concentration of lactate in the medium
\(K_\mathrm{d,DLL}\)	Dissociation constant between the dimer of Lldr and Lactate	10 μM²	10000 μM²
\(\alpha\)	Multiplication factor between the initial concentration of Lactate and Production of normal cells	1	150	estimated
\(F_\mathrm{C}\)	Fold change between Lactate production by cancer and normal cells	2	4	estimated
\(a_1\)	\(\frac{a_\mathrm{LacI}}{d_\mathrm{LacI}\cdot K_{RLacI}}\)	0.05	1000
\( a_\mathrm{LacI}\)	Maximal production rate of LacI	0.05 μM.min^-1	1 μM.min^-1	Basu, 2005
\( d_\mathrm{LacI}\)	Degradation rate of LacI	0.01 min^-1	0.1 min^-1	Basu, 2005
\( K_\mathrm{R,LacI}\)	Repression coefficient of LacI	0.1 μM	10 μM	Basu, 2005
\( \gamma_1\)	\( \frac{L_\mathrm{2tot}}{K_\mathrm{R,L}}\)	5	10000	estimated
\( L_\mathrm{2tot}\)	Total concentration of LldR dimer	0.5 μM	10 μM	estimated from paxdb
\( K_\mathrm{R,L}\)	Repression coefficient of LldR	0.001 μM	0.1 μM	estimated
\( \gamma_2\)	\(\frac{IPTG_{tot}}{K_{IL}}\)	0	500	estimated
\( \frac{a_1}{\gamma_2+1}\)		0.001	1000	estimated
\( n_1\)	Hill coefficient of LldR	0.5	2.5	estimated
\( n_2\)	Hill coefficient of LacI	1.5	2.5	estimated

Name	Description	Minimum Value	Maximum Value	References/Estimation
\(D_\text{AHL,agar}\)	Diffusion coefficient of AHL in agar	\(3.0\times 10^{-10} m^2/s\)	Trovato, 2014