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arXiv · 1908.04497

Robustness in power law kinetic systems with reactant-determined interactions

Noel T. Fortun·Angelyn R. Lao·Luis F. Razon·Eduardo R. Mendoza
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Abstract

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

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Noel T. Fortun, Angelyn R. Lao, Luis F. Razon, Eduardo R. Mendoza. 2019-08-13. Robustness in power law kinetic systems with reactant-determined interactions. https://arxiv.org/abs/1908.04497

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