{"title":"相互关联化学反应的变异理论","authors":"Maxim V. Dudorov","doi":"10.1140/epjs/s11734-024-01313-0","DOIUrl":null,"url":null,"abstract":"<p>The study of biological systems by methods of physical kinetics and non-equilibrium thermodynamics often faces the difficulty of studying nonlinear processes due to the significant deviation from equilibrium. In this paper, the new variation approach is proposed that allows us to generalize the patterns of chemical processes taking into account the influence of non-equilibrium effects.The study of interrelated chemical reactions is considered as one of the applications of this theory. The new method has been developed for the general description of the kinetics of several reactions, taking into account their mutual influence on each other. Practical examples and model calculations for several reactions with varying the degrees of influence on each other are considered. The calculations performed for the several reactions allowed us to evaluate their mutual influence on the change in the reaction rate, as well as on the change in the reaction reagents concentration over time. The results obtained can be used to describe complex chemical reactions in various systems.</p>","PeriodicalId":501403,"journal":{"name":"The European Physical Journal Special Topics","volume":"4 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Variation theory of interconnected chemical reactions\",\"authors\":\"Maxim V. Dudorov\",\"doi\":\"10.1140/epjs/s11734-024-01313-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The study of biological systems by methods of physical kinetics and non-equilibrium thermodynamics often faces the difficulty of studying nonlinear processes due to the significant deviation from equilibrium. In this paper, the new variation approach is proposed that allows us to generalize the patterns of chemical processes taking into account the influence of non-equilibrium effects.The study of interrelated chemical reactions is considered as one of the applications of this theory. The new method has been developed for the general description of the kinetics of several reactions, taking into account their mutual influence on each other. Practical examples and model calculations for several reactions with varying the degrees of influence on each other are considered. The calculations performed for the several reactions allowed us to evaluate their mutual influence on the change in the reaction rate, as well as on the change in the reaction reagents concentration over time. The results obtained can be used to describe complex chemical reactions in various systems.</p>\",\"PeriodicalId\":501403,\"journal\":{\"name\":\"The European Physical Journal Special Topics\",\"volume\":\"4 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal Special Topics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1140/epjs/s11734-024-01313-0\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Special Topics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1140/epjs/s11734-024-01313-0","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Variation theory of interconnected chemical reactions
The study of biological systems by methods of physical kinetics and non-equilibrium thermodynamics often faces the difficulty of studying nonlinear processes due to the significant deviation from equilibrium. In this paper, the new variation approach is proposed that allows us to generalize the patterns of chemical processes taking into account the influence of non-equilibrium effects.The study of interrelated chemical reactions is considered as one of the applications of this theory. The new method has been developed for the general description of the kinetics of several reactions, taking into account their mutual influence on each other. Practical examples and model calculations for several reactions with varying the degrees of influence on each other are considered. The calculations performed for the several reactions allowed us to evaluate their mutual influence on the change in the reaction rate, as well as on the change in the reaction reagents concentration over time. The results obtained can be used to describe complex chemical reactions in various systems.