Figure 4.
Results of numerical simulation for the EnvZ/OmpR mechanism of figure 2. In (a), we display the approximate probability distribution of the chain X(t) at four time points, computed by averaging 105 independent realizations of the process with Xtot = 1 and Ytot = 35, and initial conditions X(0) = Xtot and Y(0) = Ytot. The corresponding quasi-stationary distribution is overlain (solid). In (b), we display approximations of the quasi-stationary distributions for various values of Ytot and Xtot in the ratio 35 : 1. Details of the simulations are provided in the electronic supplementary material. For comparison, a Poisson distribution with mean 25 is overlain (black). Convergence to the Poisson distribution as the total molecularity increases is apparent. (Online version in colour.)