2019/08/13 by Noel T. Fortun, Angelyn R. Lao, Fortun, Noel T. +5
Chemistry · Computer Science · Engineering · #Computational Drug Discovery Methods #Dynamical Systems (math.DS) #Electrochemical Analysis and Applications #FOS: Mathematics #Process Optimization and Integration
paper · pdf · doi:10.48550/arxiv.1908.04497
openalex publication_date 2019/08/13 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28
Robustness against the presence of environmental disruptions can be observed\nin many systems of chemical reaction network. However, identifying the\nunderlying components of a system that give rise to robustness is often\nelusive. The influential work of Shinar and Feinberg established simple yet\nsubtle network-based conditions for absolute concentration robustness (ACR), a\nphenomena in which a species in a mass-action system has the same concentration\nfor any steady state the network may admit. In this contribution, we extend\nthis result to embrace kinetic systems more general than mass-action systems,\nnamely, power-law kinetic systems with reactant-determined interactions\n(denoted by "PL-RDK"). In PL-RDK, the kinetic order vectors (which we call\n"interactions") of reactions with the same reactant complex are identical. As\nillustration, we considered a scenario in the pre-industrial state of global\ncarbon cycle. A power-law approximation of the dynamical system of this\nscenario is found to be dynamically equivalent to an ACR-possessing PL-RDK\nsystem.\n