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10 −3
0
10
10 −1
10 −4
10 −2
10 −5
10 −3
10 −6
0
200
400
600
800
1000
0
200
400
600
800
1000
time (minute)
time (minute)
10 −3
10 −4
10 −5
10 −6
0
200
400
600
800
1000
time (minute)
10 −0.5
10 −2
10 −0.6
10 −3
10 −4
10 −0.7
10 −5
0
200
400
600
800
1000
0
200
400
600
800
1000
time (minute)
time (minute)
FIGURE 2.7
Time series simulation of the mRNA,
-galactosidase, allolactose, lactose and permease
concentrations produced from the 5 variable model when the extracellular lactose con-
centration is L e
β
10 −3 mM. For this value of the external lactose concentration,
there are three coexisting steady states (see Figure 2.6 ). Two of the three states are locally
stable and the third one is unstable [ 15 , 9 ]. In the plots,
=
50
×
's represent the location of
the low and high stable steady states. See the text for selection of the initials and details
for this simulation.
( )
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