{"title":"具有快慢反应的化学朗之万方程中快慢变量的解耦","authors":"M.-N. Contou-Carrere, P. Daoutidis","doi":"10.1109/ACC.2006.1655396","DOIUrl":null,"url":null,"abstract":"Under the assumption of existence of a macro-scopically infinitesimal time increment, biochemical reaction network are accurately represented by chemical Langevin equation systems. In this work, we consider such networks in the presence of fast and slow reactions. With the ultimate goal of proposing a systematic framework to derive non stiff models of the slow dominant dynamics, we focus on the preliminary step of obtaining a new stochastic differential equation system with decoupled fast and slow variables in order to apply, in future work, model reduction techniques available for such systems","PeriodicalId":265903,"journal":{"name":"2006 American Control Conference","volume":"19 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Decoupling of fast and slow variables in chemical Langevin equations with fast and slow reactions\",\"authors\":\"M.-N. Contou-Carrere, P. Daoutidis\",\"doi\":\"10.1109/ACC.2006.1655396\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Under the assumption of existence of a macro-scopically infinitesimal time increment, biochemical reaction network are accurately represented by chemical Langevin equation systems. In this work, we consider such networks in the presence of fast and slow reactions. With the ultimate goal of proposing a systematic framework to derive non stiff models of the slow dominant dynamics, we focus on the preliminary step of obtaining a new stochastic differential equation system with decoupled fast and slow variables in order to apply, in future work, model reduction techniques available for such systems\",\"PeriodicalId\":265903,\"journal\":{\"name\":\"2006 American Control Conference\",\"volume\":\"19 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-06-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2006 American Control Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACC.2006.1655396\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACC.2006.1655396","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Decoupling of fast and slow variables in chemical Langevin equations with fast and slow reactions
Under the assumption of existence of a macro-scopically infinitesimal time increment, biochemical reaction network are accurately represented by chemical Langevin equation systems. In this work, we consider such networks in the presence of fast and slow reactions. With the ultimate goal of proposing a systematic framework to derive non stiff models of the slow dominant dynamics, we focus on the preliminary step of obtaining a new stochastic differential equation system with decoupled fast and slow variables in order to apply, in future work, model reduction techniques available for such systems