Absolute Concentration Robustness in Rank-One Kinetic Systems
-
Published:2023-10
Issue:2
Volume:91
Page:453-483
-
ISSN:0340-6253
-
Container-title:Match Communications in Mathematical and in Computer Chemistry
-
language:
-
Short-container-title:match
Author:
Mendoza Eduardo R., ,Talabis Dylan Antonio SJ.,Jose Editha C.,Fontanil Lauro L., , ,
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.
Publisher
University Library in Kragujevac
Subject
Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications,General Chemistry