Robustness in Power-Law Kinetic Systems with Reactant-Determined Interactions

Robustness against the presence of environmental disruptions can be observed in many systems chemical reaction network. However, identifying underlying components a system that give rise to robustness is often elusive. The influential work Shinar and Feinberg established simple yet subtle network-based conditions for absolute concentration (ACR), phenomenon which species mass-action has same any positive steady state network may admit. In this contribution, we extend result embrace kinetic more general than systems, namely, power-law with reactant-determined interactions (denoted by “PL-RDK”). PL-RDK, order vectors reactions reactant complex are identical. As illustration, considered scenario pre-industrial global carbon cycle. A approximation dynamical found dynamically equivalent an ACR-possessing PL-RDK system.