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Optimizing cI/ λ P ( R - O 12) Inverters
Although the gain exhibited by the lacI/p(lac) is sufficient, other repressor/
promoter combinations can yield better signal restoration. One such example
is the cI /
λ P(R O 12 ) inverter. The cI repressor binds cooperatively to the
λ
pro-
λ P(R O 12 ) is
a synthetic promoter that we designed and that excludes O R 3 of the wild-type
λ
moter's O R 1 and O R 2 operators, which results in high gain. The
promoter. The affinity of cI to O R 3 is weak, and this operator would not
significantly enhance the repression efficiency of cI .
The cI monomer, also known as the
repressor, has an amino domain com-
posed of amino acids 1-92, a carboxyl domain of residues 132-236, and 40
remaining amino acids that connect the two domains [10]. The monomers as-
sociate to form dimers, which can then bind to the 17 basepair operator regions.
The intrinsic affinity of cI to O R 1 is about 10 times higher than to O R 2, and
therefore typically cI binds O R 1 first. However, the binding of cI to O R 1 imme-
diately increases the affinity of a second dimer to O R 2 because of the interaction
with the previously bound dimer. As a result, repressor dimers bind to O R 1 and
O R 2 almost simultaneously. From a circuit engineering perspective, this coop-
erative binding leads to a much desired high gain because the transition from
low repression activity to high repression activity occurs over a small range of
repressor concentrations.
The genetic circuit to measure the device physics of the cI /
λ
λ P(R O 12 ) is
logically similar to the one used to measure the lacI /p(lac) inverter (Figure
7.8). Here, the lacI /p(lac) IMPLIES gate controls the level of the cI input. For
a particular experiment, the researcher sets the repressor level by controlling
the IPTG concentration.
Lambda P(R-O12)
RBSII
P3 P
EYFP
Kan(r)
lacI
AP r
T0 Term
P(lacIq)
pINV-107
3759 bp
pINV-110
4887 bp
P(LAC)
p15A ori
RBSII
cI
T1 Term
ColE1 ORI
RBSII
ECFP
Figure 7.8 Genetic circuit to measure the transfer curve of cI / λ P(R O 12 ) , using lacI as
driver.
 
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