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. 2013 Aug 12;110(35):14261–14265. doi: 10.1073/pnas.1306481110

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Fig. 1. — Dynamic trajectory and steady-state results for reversible nonlinear dimerization. (A) Evolution of the average and variance (Inset) of number of A molecules using fourth-order ZI closure. Different symbols represent various values of equilibrium constant K = k₂/k₁. The forward reaction rate is constant at k₁ = 1 (1/molecules-s). The initial distribution for the trajectory results is a Kronecker-delta function, . Solid lines are from fourth-order ZI closure and circles are results from 100,000 SSA trajectories. Colors refer to dissociation constants with orange (K = 10), yellow (K = 1), green (K = 0.1), and blue (K = 0.01). (B) Steady-state results for a range of K values using fourth-order ZI closure (line), compared with SSA results (squares). The 10,000 k₂ values were modeled ranging from 10⁻³ to 10³ (1/s) [k₁ = 1 (1/molecules-s) SSA results for 20 k₂ values, each with 100,000 trajectories. The variance results are shown in the Inset.

Inline graphic — Dynamic trajectory and steady-state results for reversible nonlinear dimerization. (A) Evolution of the average and variance (Inset) of number of A molecules using fourth-order ZI closure. Different symbols represent various values of equilibrium constant K = k₂/k₁. The forward reaction rate is constant at k₁ = 1 (1/molecules-s). The initial distribution for the trajectory results is a Kronecker-delta function, . Solid lines are from fourth-order ZI closure and circles are results from 100,000 SSA trajectories. Colors refer to dissociation constants with orange (K = 10), yellow (K = 1), green (K = 0.1), and blue (K = 0.01). (B) Steady-state results for a range of K values using fourth-order ZI closure (line), compared with SSA results (squares). The 10,000 k₂ values were modeled ranging from 10⁻³ to 10³ (1/s) [k₁ = 1 (1/molecules-s) SSA results for 20 k₂ values, each with 100,000 trajectories. The variance results are shown in the Inset.