Endotactic and strongly endotactic networks with infinitely many positive steady states
IF 1.7
3区 化学
Q3 CHEMISTRY, MULTIDISCIPLINARY
引用次数: 0
Abstract
The dynamics exhibited by reaction networks is often a manifestation of their steady states. We show that there exists endotactic and strongly endotactic dynamical systems that are not weakly reversible and possess a family of infinitely many positive steady states. In addition, we prove for some of these systems that there exist no weakly reversible mass-action systems that are dynamically equivalent to mass-action systems generated by these networks. This extends a result by Boros, Craciun and Yu [1], who proved the existence of weakly reversible dynamical systems with infinitely many steady states.
具有无限多正稳态的内向和强内向网络
反应网络的动力学通常是其稳态的一种表现形式。我们证明，存在不具有弱可逆性的内作用和强内作用动力系统，它们拥有无限多的正稳态族。此外，我们还证明，对于其中一些系统，不存在与这些网络生成的质量作用系统在动力学上等价的弱可逆质量作用系统。这扩展了 Boros、Craciun 和 Yu [1] 的结果，他们证明了具有无限多稳态的弱可逆动力学系统的存在性。
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来源期刊
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.
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