Table 1. Model parameters: definitions and estimated values.
Parameter | Meaning | Value | Reference |
---|---|---|---|
βR | Basal transcription rate of xylR-mRNA | 240 molecules per houra | (Vogel and Jensen, 1994) (and adjusted) |
80 molecules per hourb | (Proshkin et al., 2010) | ||
fR, fR3 | Fold changes for negative autoregulation by XylR | 3 | (Fraile et al., 2001) |
fIHF | Fold change for Pr repression by IHF | 5 | (Silva-Rocha and de Lorenzo, 2011) |
θR,θR3 | Thresholds for negative autoregulation by XylR | 15 molecules | Adjusted to levels of XylR in (Fraile et al., 2001) |
θIHF | Threshold for Pr repression by IHF | 4000 molecules | Adjusted to levels of IHF in (Valls et al., 2002) |
μ | Crc-xylR mRNA association | 1 per molecule per hour | (Levine et al., 2007). |
mxyl/θm | m-Xylene above threshold after induction | 10 | Saturating conditions |
fm | Fold change in Ra due to m-xylene activation | 0.018 | Adjusted |
kR | Basal Ra formation in non-inducing conditions | 10−5 per molecule2 per hour | Adjusted to give negligible Ra |
KRoff | Ra dissociation | 10 per hour | Adjusted |
θu | Threshold for IHF activation of Pu promoter | 4000 molecules | Adjusted to levels of IHF in (Valls et al., 2002) |
fu | Fold change in Pu activity by IHF | 0.1 | (Valls et al., 2002) |
ku | Basal Pu activation in the absence of IHF | 0.08 per molecule per hour | Adjusted from induction time of GFP distributions |
Kuoff | Dissociation of Ra from Pu promoter | 0.5 per hour | Adjusted |
βu | Transcription rate from the active Pu promoter | 200 molecules per houra | (Vogel and Jensen, 1994) and adjusted |
60 molecules per hourb | (Proshkin et al., 2010) | ||
ρR | Ri translation rate | 20 per houra | (Proshkin et al., 2010) and adjusted |
7 per hourb | |||
ρu | Pu-GFP translation rate | 20 per houra | (Proshkin et al., 2010) |
7 per hourb | |||
δmR,δmu | xylR/Pu-GFP mRNAs degradation rates | 10 per houra | (Bernstein et al., 2002) |
5 per hourb | |||
δR,δGFP | Ri, Pu-GFP degradation rates | 1 per houra | Stable proteins |
0.5 per hourb | |||
IHF | IHF levels | 2000 moleculesa | (Valls et al., 2002) |
14 000 moleculesb | |||
Crc | Crc levels | 200 moleculesa | (Ruiz-Manzano et al., 2005) and adjusted |
50 moleculesb | |||
γR | Basal transcription from lacI-Ptrc promoter | 2400 molecules per hour | (de Lorenzo et al., 1993; Silva-Rocha and de Lorenzo, 2011) |
a | Ratio of total LacI and lacI repression threshold | 10 | Arbitrary value >>1 (Ozbudak et al., 2004) |
fL | Fold change in lacI-Ptrc-xylR expression due to LacI repression | 3.8 | Adjusted (see Materials and methods) |
θIPTG | Threshold for LacI inactivation by IPTG | 22.6 | Adjusted (see Materials and methods) |
Exponential phase.
Stationary phase. Except stated otherwise, the parameters were taken/adjusted in exponential phase conditions and the same values used in stationary phase.