Absolute Concentration Robustness in Rank-One Kinetic Systems

IF 2.9 2区化学 Q2 CHEMISTRY, MULTIDISCIPLINARY

Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2023-10-01 DOI:10.46793/match.91-2.453m

Eduardo R. Mendoza, Dylan Antonio SJ. Talabis, Editha C. Jose, Lauro L. Fontanil

引用次数: 1

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.

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一级动力学体系的绝对浓度鲁棒性

如果某一分子种类的浓度在系统的每一个正稳定状态下都保持不变，则该动力学系统具有绝对浓度鲁棒性(ACR)。就在最近，发现了一个足以保证一级质量作用动力学系统中ACR存在的条件。本文将证明ACR准则一般不适用于幂律动力学系统。此外，本文还讨论了多平稳一级动力学系统中ACR存在的一个必要条件，该条件可用于ACR分析。最后，本文将引入基于系统ACR物种数量的动力学系统平衡变化的概念。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Match-Communications in Mathematical and in Computer Chemistry 化学-化学综合

CiteScore

4.40

自引率

26.90%

发文量

审稿时长

2 months

期刊介绍： MATCH Communications in Mathematical and in Computer Chemistry publishes papers of original research as well as reviews on chemically important mathematical results and non-routine applications of mathematical techniques to chemical problems. A paper acceptable for publication must contain non-trivial mathematics or communicate non-routine computer-based procedures AND have a clear connection to chemistry. Papers are published without any processing or publication charge.