Positive equilibria of power law kinetics on networks with independent linkage classes

Studies about the set of positive equilibria ( $$E_+$$ ) kinetic systems have been focused on mass action, and not that much power law (PLK) systems, even for PL-RDK (PLK where two reactions with identical reactant complexes same order vectors). For different reactants rows. A system satisfying this property is called factor span surjective (PL-FSK). In work, we show a cycle terminal PL-FSK $$E_+\ne \varnothing $$ has independent linkage classes (ILC) poly-PLP system, i.e., disjoint union log-parametrized sets. The key insight extension surjectivity induces an isomorphic digraph structure complexes. result also completes, ILC networks, structural analysis original complex balanced generalized action (GMAS) by Müller Regensburger. We identify large non-emptiness necessary sufficient condition each class. These results extend those Boros ILC. conclude paper applications our results. Firstly, consider absolute balancing (ACB), equilibrium balanced, in systems. Finally, use new to study concentration robustness (ACR) these particular, obtain species hyperplane containment criterion determine ACR species.