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Poly-PL kinetic systems (PYK) are kinetic systems consisting of nonnegativelinear combinations of power law functions. In this contribution, we analyzethese kinetic systems using two main approaches: (1) we define a canonicalpower law representation of a poly-PL system, and (2) we transform a poly-PLsystem into a dynamically equivalent power law kinetic system that preservesthe stoichiometric subspace of the system. These approaches led us to establishresults that concern important dynamical properties of poly-PL systems thatextend known results for generalized mass actions systems (GMAS) such asexistence, uniqueness and parametrization of complex balanced steady states,and linear stability of complex balanced equilibria. Furthermore, the paperdiscusses subsets of poly-PL systems that exhibit two types of concentrationrobustness in some species namely absolute concentration robustness andbalanced concentration robustness.

Complex balanced equilibria of weakly reversible poly-PL systems: existence, stability, and robustness