
Reverse engineering biomolecular networks 241
0 60 120 180 240 300 360
0
20
40
60
80
100
120
Relative promotor
occupancy
0 60 120 180 240 300 360
0
0.02
0.04
0.06
0.08
0.1
mRNA copy number
time [min]
Rel
ATF3
IL6
IL12
FIGURE 7.8: The measurements of Rel, AT F3, Il6 and Il12 are taken from
[44]. The actual data in [4 4] are measured at 0, 60, 120, 240 and 360 minutes.
To make the measurements equally spaced in time, the data shown at 180 and
300 minutes are interpo lated.
follows:
∂(dIl6/dt)
∂Il6
= −
1
τ
= −
ln(2)
600
≈ −0.00116 (7.43a)
∂(dIl6/dt)
∂Rel
=
−β
Rel
e
−β
Rel
Rel−β
ATF3
ATF3
τ (1 + e
−β
Rel
Rel−β
ATF3
ATF3
)
2
(7.43b)
∂(dIl6/dt)
∂AT F 3
=
−β
ATF3
e
−β
Rel
Rel−β
ATF3
ATF3
τ (1 + e
−β
Rel
Rel−β
ATF3
ATF3