Fig. 8

Probability density profile of the MRN and MRN-NA models in log space. Probability densities are computed from the Fokker-Planck equations of the MRN and MRN-NA models. a, b Probability density of y(2) in A the MRN and b the MRN-NA models. c, d Probability density of y(3) in C the MRN and d the MRN-NA models. The parameters for the MNA model are S = 0, k(1) = 100,k(2) = 1,K(1) = K(3) = 9, K(2) = K(4) = 43, k(3) = k(6) = 18.1, k(4) = 61.23> k(7) = 43.1, k(5) = k(8) = 0.8, n = 8. The parameters for the MRN-NA model are S = 0,k(1) = 100,k(2) = 1,K(1) = K(3) = 9,K(2) = K(4) = 43,K(5) = K(6) = 9, k(3) = k(6) = 18.1, k(9) = k(10) = 4.1, k(4) = 61.04> k(7) = 43.1, k(5) = k(8) = 0.8, n = 8. For stochastic simulations, three independent trajectories are shown