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Fontanil, Lauro L.; Mendoza, Eduardo R. und Fortun, Noel T. (2021): A Computational Approach to Concentration Robustness in Power Law Kinetic Systems of Shinar-Feinberg Type. In: Match-Communications in Mathematical and in Computer Chemistry, Bd. 86, Nr. 3: S. 489-516

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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.

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