2023/04/07 by Mendoza, Eduardo R., Talabis, Dylan Antonio SJ., Jose, Editha C. +1
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2304.03611
A kinetic system has an absolute concentration robustness (ACR) for a molecular species if its concentration remains the same in every positive steady state of the system. Just recently, a condition that sufficiently guarantees the existence of an ACR in a rank-one mass-action kinetic system was found. In this paper, it will be shown that this ACR criterion does not extend in general to power-law kinetic systems. Moreover, we also discussed in this paper a necessary condition for ACR in multistationary rank-one kinetic system which can be used in ACR analysis. Finally, a concept of equilibria variation for kinetic systems which are based on the number of the system's ACR species will be introduced here.