Absolute concentration robustness in power law kinetic systems

College

College of Science

Department/Unit

Mathematics and Statistics Department

Document Type

Article

Source Title

MATCH Communications in Mathematical and in Computer Chemistry

Volume

85

First Page

669

Last Page

691

Publication Date

2021

Abstract

Absolute concentration robustness (ACR) is a condition wherein a species in a chemical kinetic system possesses the same value for any positive steady state the network may admit regardless of initial conditions. Thus far, results on ACR center on chemical kinetic systems with deficiency one. In this contribution, we use the idea of dynamic equivalence of chemical reaction networks to derive novel results that guarantee ACR for some classes of power law kinetic systems with deficiency zero. Furthermore, using network decomposition, we identify ACR in higher deficiency networks (i.e. deficiency ≥ 2) by considering the presence of a low deficiency subnetwork with ACR. Network decomposition also enabled us to recognize and define a weaker form of concentration robustness than ACR, which we named as ‘balanced concentration robustness’. Finally, we discuss and emphasize our view of ACR as a primarily kinetic character rather than a condition that arises from structural sources.

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Disciplines

Chemistry

Keywords

Chemical kinetics

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