Absolute Concentration Robustness in Rank-One Kinetic Systems
Dynamical Systems
2023-04-10 v1
Abstract
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.
Cite
@article{arxiv.2304.03611,
title = {Absolute Concentration Robustness in Rank-One Kinetic Systems},
author = {Eduardo R. Mendoza and Dylan Antonio SJ. Talabis and Editha C. Jose and Lauro L. Fontanil},
journal= {arXiv preprint arXiv:2304.03611},
year = {2023}
}