Table 1. Table of Model Parametersa.
parameter | value | units | description | |
---|---|---|---|---|
HKtot | 100 | nM | histidine kinase | |
RRtot | 0–3000 | nM | response regulator | |
Sctot | 0–5000 | nM | scaffold | |
Phtot | 0–5000 | nM | phosphatase | |
βAS | 10 | nM s–1 | transcription + translation | |
β0 | 0.01 | leaky promoter activity (1% of total induction) | ||
γ | 3.84 × 10–4 | s–1 | deg/dilution21,27 | |
γssrA | 1.5γ | s–1 | degradation for ssrA-tagged proteins | |
n | 2 | Hill coefficient for antiscaffold activation | ||
KD | 1 | nM | KD for AS activation | |
kdephos | 0.003 | s–1 | phosphatase mediated dephosphorylation21 | |
r | 2.8 × 10–4 | s–1 | Decay constant for diffusion of inducer27 | |
Forward and Reverse Reaction Rates | ||||
kHKp | kf | 0.003 | s–1 | HK autophosphorylation21 |
kr | 0.0001 | s–1 | ref (20) | |
kcogp | kf | 102.1 | s–1 | cognate HK-RR phosphorylation21 |
kr | 0.00294 | s–1 | ref (21) | |
knoncog | kf | 0.0031 | s–1 M–1 | noncognate HK-RR phosphorylation21 |
kr | 0.0002 | s–1 M–1 | ref (21) | |
kSH3 | kf | 1 × 105 | s–1 M–1 | SH3 domain/ligand binding22 |
kr | kf:SH3 (0.1 × 10–6) | s–1 | KD = 0.1 μM13 | |
kLZX | kf | 1 × 105 | s–1 M–1 | leucine zipper binding |
kr | kf:LZX (0.01 × 10–6) | s–1 | KD = 0.01 μM13 | |
kSc:HK | kf | 4kf:SH3 | s–1 M–1 | scaffold binding to HK with 4 SH3 domains |
kr | kr:SH3 | s–1 | ||
kSc:RR | kf | kf:LZX | s–1 M–1 | scaffold binding to RR with 1 LZX domain |
kr | kr:LZX | s–1 | ||
kph:RR | kf | 1 × 105 | s–1 M–1 | phosphatase binding to RRp |
kr | 1 × 103 | s–1 | ||
Closed Loop Antiscaffold Interactions | ||||
kSc:AS | kf | kf:LZX + kf:SH3 | s–1 M–1 | scaffold binding to antiscaffold |
kr | 0.001kr:LZX | s–1 | ||
kAS-SH3 | kf | kf:SH3 | s–1 | antiscaffold binding to Sc:RR complex |
kr | 0.001kr:SH3 | s–1 | ||
kAS-LZX | kf | kf:LZX | s–1 M–1 | antiscaffold binding to Sc:HK complex |
kr | 0.001kr:LZX | s–1 |
Parameters estimated from the literature are cited. Note: In the open loop circuit there is no antiscaffold, so the closed loop antiscaffold interaction rates are all zero.