Figure 1.
Toggle Switch: Protein A Represses Gene B (Dotted Line), and Protein B Represses Gene A (Solid Line)
Figure 2.
Probability C That Genes Are in the Active State as a Function of Xad = (g1 + g0)/2kA for a Symmetric Switch Showing the Bifurcation
Exact moment equation solutions are compared with Poisson ansatz solutions 0 < Xad(= g1/2) < 100 , kA = kB = 1, fA = fB = 0.5, hA = hB = fA/500, and gA0 = gB0 = 0.
Figure 3.
Steady State Probability of Symmetric Toggle Switch (Long Time Limit) as a Function of the Number of Protein A and the Number of Protein B for Different Xad = gA1/2kA
The other parameters are the same as Figure 2.
Figure 4.
Potential Energy of Symmetric Toggle Switch as a Function of the Number of Protein A and the Number of Protein B for Different Xad = gA1/2kA
The other parameters are the same as Figure 2.
Figure 5.
The Time Scale of the Transition between the Two Stable Minimum Basins of Attractions as a Function of ω = fA/kA and Xad = gA1/2kA
The other parameters are the same as Figure 2.
Figure 6.
The Time Evolution of the Probability of Symmetric Toggle Switch as a Function of the Numbers of Protein A and the Numbers of Protein B
Xad = 60, and the other parameters are the same as Figure 2. t = 0, 10, 55, 60, 70, 100.
Figure 7.
The Time Evolution of the Potential of Symmetric Toggle Switch as a Function of the Numbers of Protein A and the Numbers of Protein B
Xad = 60, and the other parameters are the same as Figure 2. t = 10, 55, 60, 70, 100.