Table 2. CGGR variables, parameters and constants.
Genetic Parameters | units | |
Maximum transcription initiation rate of the i-th gene class | 1/min | |
Maximum translation initiation rate of the i-th gene class mRNA | 1/min | |
Km,i | Binding affinity of RNAp holoenzyme to the i-th gene class promoter | 1/(µm)3 |
Lm,i | Binding affinity of the 30S ribosome subunit to the i-th gene class mRNA RBS | 1/(µm)3 |
tc,i | Average time to transcribe the i-th gene class ( = Li/ci) | min |
tl,i | Average time to translate the mRNA of the i-th gene class ( = Li/3cp) | min |
mi,j | Map location of the j-th gene in the i-th gene class | dimensionless |
Functional half-life for the i-th gene class mRNA in the absence of ribosomes | min | |
Vini | Initiation volume | (µm)3 |
Cell state variables | ||
nRNAp | Concentration of total RNAp | 1/(µm)3 |
nRNAp,free | Concentration of free functional RNAp | 1/(µm)3 |
nribo | Concentration of total ribosomes | 1/(µm)3 |
nribo,free | Concentration of free functional (30S) ribosomes | 1/(µm)3 |
nbulk | Concentration of bulk protein | 1/(µm)3 |
α | Specific growth rate (α = μ·ln(2), where μ is the doubling rate) | 1/min |
Parameters and constants for the unconstrained CGGR | ||
cribo/load | Production cost of one ribosome or load protein | dimensionless |
n0 | Minimum cell density | 1/(µm)3 |
Parameters and constants for the constrained CGGR | ||
Mbulk | Bulk protein cutoff | 1/(µm)3 |
Maximal elongation rate | aa/min | |
h | Hill coefficient | dimensionless |
Other parameters, variables and constants | ||
cp | Peptide chain elongation rate | aa/min |
ci | RNA chain elongation rate of the i-th gene class | bp/min |
C | C period | min |
di | Gene concentration of the i-th gene class | 1/(µm)3 |
Li | Length of the i-th gene class | base pairs |
vk | Volume of a macromolecule belonging to the k-th species | (µm)3 |
Φ | Macromolecule volume fraction = Vmacro/Vcell | dimensionless |
Genetic parameters, cell state variables, and other variables and constants associated with the CGGR models. Gene classes labeled by index i include: rrn, r-protein, bulk protein and any load genes.