J. Femila Mercy Rani, S. Sevukaperumal, Lakshmanan Rajendran
{"title":"可逆Michaelis Menten动力学固定化酶体系有效因子的解析表达","authors":"J. Femila Mercy Rani, S. Sevukaperumal, Lakshmanan Rajendran","doi":"10.51983/ajsat-2015.4.1.910","DOIUrl":null,"url":null,"abstract":"The mathematical model of immobilized enzyme system in porous spherical particle is presented. This model is based on a non-stationary diffusion equation containing a nonlinear term related to Michaelis-Menten kinetics of enzymatic reaction. A general and closed form of an analytical expression pertaining to the substrate concentration profile and effectiveness factor are reported for all possible values of Thiele modules φ andα . However, we have employed New Homotopy Perturbation Method (NHPM) to solve the nonlinear reaction/diffusion equation in immobilized enzymes system. Therefore, analytical results were found to be in an appropriate agreement with simulation result.","PeriodicalId":414891,"journal":{"name":"Asian Journal of Science and Applied Technology","volume":"88 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Analytical Expression of Effectiveness Factor for Immobilized Enzymes System with Reversible Michaelis Menten Kinetics\",\"authors\":\"J. Femila Mercy Rani, S. Sevukaperumal, Lakshmanan Rajendran\",\"doi\":\"10.51983/ajsat-2015.4.1.910\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The mathematical model of immobilized enzyme system in porous spherical particle is presented. This model is based on a non-stationary diffusion equation containing a nonlinear term related to Michaelis-Menten kinetics of enzymatic reaction. A general and closed form of an analytical expression pertaining to the substrate concentration profile and effectiveness factor are reported for all possible values of Thiele modules φ andα . However, we have employed New Homotopy Perturbation Method (NHPM) to solve the nonlinear reaction/diffusion equation in immobilized enzymes system. Therefore, analytical results were found to be in an appropriate agreement with simulation result.\",\"PeriodicalId\":414891,\"journal\":{\"name\":\"Asian Journal of Science and Applied Technology\",\"volume\":\"88 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-04-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Journal of Science and Applied Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.51983/ajsat-2015.4.1.910\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Science and Applied Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.51983/ajsat-2015.4.1.910","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analytical Expression of Effectiveness Factor for Immobilized Enzymes System with Reversible Michaelis Menten Kinetics
The mathematical model of immobilized enzyme system in porous spherical particle is presented. This model is based on a non-stationary diffusion equation containing a nonlinear term related to Michaelis-Menten kinetics of enzymatic reaction. A general and closed form of an analytical expression pertaining to the substrate concentration profile and effectiveness factor are reported for all possible values of Thiele modules φ andα . However, we have employed New Homotopy Perturbation Method (NHPM) to solve the nonlinear reaction/diffusion equation in immobilized enzymes system. Therefore, analytical results were found to be in an appropriate agreement with simulation result.
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