# Team:Groningen/Modelling/Characterization

We have four kinds of parts we would like to characterize (RPS stands for Relative Promoter Strength):

Importers Accumulators Sensors GVP cluster
RPS → Δvmax RPS → Asbound(As(III)in) metal(t) → RPS(t) RPS → GV

We can measure how much v5 (vmax for As(III) import via GlpF) is in wild-type E.coli and when we over express GlpF at a certain promoter strength `S` (measured in RPUs). As v5 is a constant times the amount of (active) GlpF this leads to a simple equation for Δv5, if we assume the amount of (active) GlpF produced by our construct is linearly dependent on the promoter strength (v5(0) and v5(1) would be measured):

```v5(RPS) = v5wt + Δv5*RPS

v5(0) = v5wt + Δv5*0
v5(S) = v5wt + Δv5*S

Δv5 = (v5(1) - v5(0))/S
```
RPS → Asbound(As(III)in)

For both MBPArsR and fMT we assume the amount of bound As(III) behaves as TODO

metal(t) → RPS(t) RPS → GV

## Uptake measurements

Sampling scheme
Time (min)
0 10 20 40 60
As(III)exT(0)
(µM)
0 x
10 x x x x x
20 x
50 x
100 x

To efficiently look at both time and concentration dependent processes we took samples as in the table on the right. Below we list all results, which have been used for fitting all necessary parameters.

TODO: List results. Take conversion from nmol/mg and mg/ml to µM and Vc/Vs into account.

best cur gradient solved
v5/K5
v5
K5
k8/K7
k8
K7
tauBbetaB
tauB
betaB
tauR
betaRN
tauFbetaF
tauF
betaF
tauKbetaK
tauK
betaK
tauGbeta5
tauG
beta5
ars2T
E