Table 4. Comparison between the theoretical values of the TE rates and the information flows for the modified model and the values inferred from simulation data (all quantities are expressed in h⁻¹).

The analysis was performed with a sampling τ = 6 min and 100 time series of 10⁶ points.

Conc. of IPTG	Low	Intermediate	High
${\overline{\mathcal{T}}}^{E\to \mu }$, analytical	0.0123	0.0082	0
${\overline{\mathcal{T}}}^{E\to \mu }$, simulation	0.0128 ± 6 ⋅ 10−4	0.0064 ± 6 ⋅ 10−4	−0.0002 ± 5 ⋅ 10−4
${\overline{\mathcal{T}}}^{\mu \to E}$, analytical	0.0019	0.0005	0.0297
${\overline{\mathcal{T}}}^{\mu \to E}$, simulation	0.0023 ± 6 ⋅ 10−4	0.0012 ± 6 ⋅ 10−4	0.0215 ± 7 ⋅ 10−4
${\mathcal{I}}_{E\to \mu }^{flow}$, analytical	0.0751	0.092	−0.0214
${\mathcal{I}}_{E\to \mu }^{flow}$, simulation	0.076 ± 10−3	0.09 ± 8 ⋅ 10−4	−0.018 ± 8 ⋅ 10−4
${\mathcal{I}}_{\mu \to E}^{flow}$, analytical	0.0455	0.0743	0.0214
${\mathcal{I}}_{\mu \to E}^{flow}$, simulation	0.047 ± 10−3	0.072 ± 10−3	0.015 ± 10−3