A Computational Approach to Concentration Robustness in Power Law Kinetic 
Systems of Shinar-Feinberg Type

Fontanil, Lauro L.; Mendoza, Eduardo R.; Fortun, Noel T.

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A Computational Approach to Concentration Robustness in Power Law Kinetic Systems of Shinar-Feinberg Type

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Mendoza, Eduardo R.
Oesterhelt, Dieter / Membrane Biochemistry, Max Planck Institute of Biochemistry, Max Planck Society;

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Citation

Fontanil, L. L., Mendoza, E. R., & Fortun, N. T. (2021). A Computational Approach to Concentration Robustness in Power Law Kinetic Systems of Shinar-Feinberg Type. Match-Communications in Mathematical and in Computer Chemistry, 86(3), 489-516.

Cite as: https://hdl.handle.net/21.11116/0000-0009-47E7-3

Abstract

There have been recent theoretic results that provide sufficient conditions for the existence of a species displaying absolute concentration robustness (ACR) in a power law kinetic (PLK) system. One such result involves the detection of ACR among networks of high deficiency by considering a lower deficiency subnetwork with ACR as a local property. In turn, this "smaller" subnetwork serves as a "building block" for the larger ACR-possessing network. Here, with this theorem as foundation, we construct an algorithm that systematically checks ACR in a PLK system. By slightly modifying the algorithm, we also provide a procedure that identifies balanced concentration robustness (BCR), a weaker form of concentration robustness than ACR, in a PLK system.