Intraspecific and monotone enzyme catalysis with oscillatory substrate and inhibitor supplies

IF 1.7 3区化学 Q3 CHEMISTRY, MULTIDISCIPLINARY Journal of Mathematical Chemistry Pub Date : 2024-07-04 DOI:10.1007/s10910-024-01630-8

Homero G. Díaz-Marín, José L. Sánchez-Ponce

引用次数: 0

Abstract

Enzyme catalysis in reactors for industrial applications usually require an external intervention of the species involved in the chemical reactions. We analyze the most elementary open enzyme catalysis with competitive inhibition where a time-dependent inflow of substrate and inhibitor supplies is modeled by almost periodic functions. We prove global stability of an almost periodic solution for the non-autonomous dynamical system arising from the mass-law action. This predicts a well behaved situation in which the reactor oscillates with global stability. This is a first case study in the path toward broader global stability results regarding intraspecific and monotone open reaction networks.

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具有振荡底物和抑制剂供应的种内酶催化和单调酶催化

工业应用反应器中的酶催化通常需要外部干预化学反应所涉及的物种。我们分析了带有竞争性抑制的最基本开放式酶催化，在这种情况下，底物和抑制剂供应的时间依赖性流入是通过几乎周期性的函数来模拟的。我们证明了由质量律作用产生的非自主动力学系统的近乎周期解的全局稳定性。这预示着反应器在全局稳定的情况下振荡，表现良好。这是通往更广泛的全局稳定性结果的道路上的第一个案例研究，它涉及特定内和单调开放式反应网络。

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来源期刊

Journal of Mathematical Chemistry 化学-化学综合

CiteScore

3.70

自引率

17.60%

发文量

105

审稿时长

6 months

期刊介绍： The Journal of Mathematical Chemistry (JOMC) publishes original, chemically important mathematical results which use non-routine mathematical methodologies often unfamiliar to the usual audience of mainstream experimental and theoretical chemistry journals. Furthermore JOMC publishes papers on novel applications of more familiar mathematical techniques and analyses of chemical problems which indicate the need for new mathematical approaches. Mathematical chemistry is a truly interdisciplinary subject, a field of rapidly growing importance. As chemistry becomes more and more amenable to mathematically rigorous study, it is likely that chemistry will also become an alert and demanding consumer of new mathematical results. The level of complexity of chemical problems is often very high, and modeling molecular behaviour and chemical reactions does require new mathematical approaches. Chemistry is witnessing an important shift in emphasis: simplistic models are no longer satisfactory, and more detailed mathematical understanding of complex chemical properties and phenomena are required. From theoretical chemistry and quantum chemistry to applied fields such as molecular modeling, drug design, molecular engineering, and the development of supramolecular structures, mathematical chemistry is an important discipline providing both explanations and predictions. JOMC has an important role in advancing chemistry to an era of detailed understanding of molecules and reactions.