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0 0 1
1 0 1
0 1 1
1 1 1
1 0 0
1 0 1
1 1 0
1 1 1
1 0 0
1 1 0
0 0 1
0 1 0
0 1 1
0 1 0
0 0 0
(C)
0 0 0
(A)
0 0 0
1 0 0
0 0 1
0 1 0
0 1 1
1 0 0
1 0 1
1 1 0
1 1 1
1 1 0
1 0 1
0 0 1
0 1 0
0 1 1
1 1 1
0 0 0
(B)
(D)
FIGURE 1.7
The state space transition diagram of triples ( M , E , L ) for the Boolean model of the lac
operon defined in Eqs. ( 1.4 ) for the four possible combinations of parameter values. In
each of the cases, the operon has a single fixed point and no limit cycles. Panel (A)
L e =
0 ;G e =
0; The operon is Off. Panel (B) L e =
0 ;G e =
1; The operon is Off. Panel (C)
L e
=
1 ;G e
=
1; The operon is Off. Panel (D) L e
=
1 ;G e = 0; The operon is On. Graphs
obtained using DVD [ 12 ].
1.3.5 Using Discrete Visualizer of Dynamics (DVD) to Test
a Boolean Model
The Discrete Visualizer of Dynamics (DVD) is a suite of freely available web applica-
tions ( http://dvd.vbi.vt.edu ) that takes the transition functions of the Boolean model
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