{"title":"化学主方程的径向基函数配置","authors":"Jingwei Zhang, L. Watson, Yang Cao","doi":"10.1142/S0219876210002234","DOIUrl":null,"url":null,"abstract":"The chemical master equation (CME), formulated from the Markov assumption of stochastic processes, offers an accurate description of general chemical reaction systems. This paper proposes a collocation method using radial basis functions to numerically approximate the solution to the CME. Numerical results for some systems biology problems show that the collocation approximation method has good potential for solving large-scale CMEs.","PeriodicalId":93487,"journal":{"name":"Proceedings of the ... annual International Conference on BioInformatics and Computational Biology","volume":"19 1","pages":"295-300"},"PeriodicalIF":0.0000,"publicationDate":"2010-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Radial Basis Function Collocation for the Chemical Master Equation\",\"authors\":\"Jingwei Zhang, L. Watson, Yang Cao\",\"doi\":\"10.1142/S0219876210002234\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The chemical master equation (CME), formulated from the Markov assumption of stochastic processes, offers an accurate description of general chemical reaction systems. This paper proposes a collocation method using radial basis functions to numerically approximate the solution to the CME. Numerical results for some systems biology problems show that the collocation approximation method has good potential for solving large-scale CMEs.\",\"PeriodicalId\":93487,\"journal\":{\"name\":\"Proceedings of the ... annual International Conference on BioInformatics and Computational Biology\",\"volume\":\"19 1\",\"pages\":\"295-300\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the ... annual International Conference on BioInformatics and Computational Biology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/S0219876210002234\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the ... annual International Conference on BioInformatics and Computational Biology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/S0219876210002234","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Radial Basis Function Collocation for the Chemical Master Equation
The chemical master equation (CME), formulated from the Markov assumption of stochastic processes, offers an accurate description of general chemical reaction systems. This paper proposes a collocation method using radial basis functions to numerically approximate the solution to the CME. Numerical results for some systems biology problems show that the collocation approximation method has good potential for solving large-scale CMEs.