Recent research into analog computing has introduced new notions of real numbers. Huang, Klinge, Lathrop, Li, and Lutz defined a notion numbers in real-time with chemical reaction networks (CRNs), introducing the classes $\mathbb{R}_\text{LCRN}$ (the class all Lyapunov CRN-computable numbers) $\mathbb{R}_\text{RTCRN}$ numbers). In their paper, they show inclusion algebraic $ALG \subseteq \mathb...

All current formulations of nonequilibrium thermodynamics open chemical reaction networks rely on the assumption non-interacting species. We develop a general theory that accounts for interactions between species within mean-field approach using activity coefficients. Thermodynamic consistency requires rate equations do not obey standard mass-action kinetics but account with concentration depen...

Complex chemical reaction mechanisms of high temperature hydrocarbon decomposition are represented as networks and their underlying graph topologies are analyzed as a dynamic system. As model reactants, 1,3-butadiene, acetylene, benzene, ethane, ethylene, methane, methyl isobutyl ketone (MIBK) and toluene are chosen in view of their importance for the global environment, energy technologies as ...