|
3. Control of Transcription in Prokaryotes.
A. Expanded diagram of the lac promoter-operator region (PO).

- Binding sites for the proteins are indicated with arrows. mRNA synthesis starts within the PO region and extends into the Z, Y, and A genes.
B. Basic mechanism of RNA chain initiation.
- R = holoenzyme. P = promoter.
- RPc = "closed complex". RPo = "open complex".
- KB = binding constant for RPc (M-1 ).
- kf = rate constant for RPo formation from RPc (sec-1).
C. RNA chain initiation frequency.
- Measurements in vivo: 10 RNA chains/min to <1 chain/hr.
- Measurements in vitro:
a) Several different activity assays have been used to determine the time required to form the active open complexes in vitro. These data are then analyzed using the following equations:

kobs is the rate constant for RPo formation. (These values come from the activity assays.)
1/kobs = tobs , the average time required to form open complexes.
Eqn. (1) shows that kobs approaches a maximum (kf) at saturating [R].
Eqn. (2) is the reciprocal of eqn. (1); it predicts a linear plot
of tobs vs. 1/[R].
Examples of both types of graph (for the same data):
 
The Y-intercept of the reciprocal plot is 1/kf; the intercept/slope = KB.
For the above data, KB = 107 M-1; kf = 1.0 min-1.
- b) Both KB and kf differ for different promoters.
- KB : the range is from 106 M-1 to 109 M-1.
- kf : the range is from 10-4 sec-1 to 10-1 sec-1.
- tobs : varies from 10 sec to > 30 min.
The times measured in vitro correlate well with in vivo frequencies.
- c) KB and kf depend on the promoter sequence.
- bp changes away from consensus decrease KB or kf or both.
- bp changes toward consensus increase KB or kf or both.
- T.H.L.: "consensus is best"
- d) Activators increase KB or kf or both.
- CAP-cAMP increases KB ~ 100-fold at lacP.
- lcI protein increases kf ~ 10-fold at the lPRM promoter.
- Other activators increase KB and kf.
- e) Repressors decrease KB or kf or both.
- lacRep completely blocks productive RNA polymerase binding.
- Other repressors only decrease KB, i.e. as competitive inhibitors of RNA polymerase binding.
D. Correspondence between measurements of vo for a Michaelis-Menten enzyme mechanism and kobs for RNA chain initiation. The table shows the experimental parameters, measured values, and the constants obtained from each type of biochemical analysis.
| Michaelis- Menten |
RNA Chain Initiation |
| E |
P |
Use [P] << [R]. |
| [S] |
[R] |
Determine the concentration dependence. |
| vo |
kobs |
Measure the rates of RPo formation. |
| Km |
1/KB |
Find [R] at the half-maximal rate; |
| Vmax |
kf |
and find the maximal rate of RPo formation. |
| Vmax/Km |
KBkf |
"promoter strength" (M-1 sec-1) |
|