Hierarchical Autocatalytic Systems as a Bridge between Maximum Entropy Production and Bayesian Posterior Contraction: A Numerical Study with Stochastic-Thermody... (opens in new tab)

We construct a three-layer reaction-diffusion model of an autocatalytic chemical system in which raw molecules ($a_i$), catalytic proteins ($p_l$) and large RNA/protein ``genes'' ($W_p^{(k)}$) interact through a mass-action stoichiometry tensor $\mathrm{Coef}_{ijk}$ whose magnitude is modulated by the fold-stable activity of the largest polymers.Mass-action is broken by an $\epsilon$-noise term so that the system is nonequilibrium. We compute ...