J. Arul Vinayagan , P. Jeyabarathi , L. Rajendran , S.Murali Krishnan
{"title":"电位计生物传感器中创新型通用柔性酶电极稳态响应的理论分析","authors":"J. Arul Vinayagan , P. Jeyabarathi , L. Rajendran , S.Murali Krishnan","doi":"10.1016/j.ijoes.2024.100853","DOIUrl":null,"url":null,"abstract":"<div><div>A mathematical model of potentiometric enzyme electrodes of general shape for a steady-state condition has been proposed. Two nonlinear reaction-diffusion equations for the Michaelis-Menten equation are employed to create the model. These equations describe the amounts of substrates and products in the catalytic layer. Analytical expressions for substrate and product concentrations and the related flux response have been generated for all parameters using the three analytical techniques. The analytical solutions generated thoroughly characterize two kinetic parameters: the unsaturation/saturation parameter and the reaction/diffusion parameter.</div><div>The influence of the parameters on the biosensor sensitivity is also discussed. Numerical simulation (Scilab/Matlab) has been performed to validate the new analytical results. There is a noticeable good agreement between the theoretical and numerical results.</div></div>","PeriodicalId":13872,"journal":{"name":"International Journal of Electrochemical Science","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Theoretical analysis of the steady-state responses of an innovative general flexible enzyme-electrode in potentiometric biosensors\",\"authors\":\"J. Arul Vinayagan , P. Jeyabarathi , L. Rajendran , S.Murali Krishnan\",\"doi\":\"10.1016/j.ijoes.2024.100853\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>A mathematical model of potentiometric enzyme electrodes of general shape for a steady-state condition has been proposed. Two nonlinear reaction-diffusion equations for the Michaelis-Menten equation are employed to create the model. These equations describe the amounts of substrates and products in the catalytic layer. Analytical expressions for substrate and product concentrations and the related flux response have been generated for all parameters using the three analytical techniques. The analytical solutions generated thoroughly characterize two kinetic parameters: the unsaturation/saturation parameter and the reaction/diffusion parameter.</div><div>The influence of the parameters on the biosensor sensitivity is also discussed. Numerical simulation (Scilab/Matlab) has been performed to validate the new analytical results. There is a noticeable good agreement between the theoretical and numerical results.</div></div>\",\"PeriodicalId\":13872,\"journal\":{\"name\":\"International Journal of Electrochemical Science\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-10-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Electrochemical Science\",\"FirstCategoryId\":\"92\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S145239812400395X\",\"RegionNum\":4,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ELECTROCHEMISTRY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Electrochemical Science","FirstCategoryId":"92","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S145239812400395X","RegionNum":4,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ELECTROCHEMISTRY","Score":null,"Total":0}
Theoretical analysis of the steady-state responses of an innovative general flexible enzyme-electrode in potentiometric biosensors
A mathematical model of potentiometric enzyme electrodes of general shape for a steady-state condition has been proposed. Two nonlinear reaction-diffusion equations for the Michaelis-Menten equation are employed to create the model. These equations describe the amounts of substrates and products in the catalytic layer. Analytical expressions for substrate and product concentrations and the related flux response have been generated for all parameters using the three analytical techniques. The analytical solutions generated thoroughly characterize two kinetic parameters: the unsaturation/saturation parameter and the reaction/diffusion parameter.
The influence of the parameters on the biosensor sensitivity is also discussed. Numerical simulation (Scilab/Matlab) has been performed to validate the new analytical results. There is a noticeable good agreement between the theoretical and numerical results.
期刊介绍：
International Journal of Electrochemical Science is a peer-reviewed, open access journal that publishes original research articles, short communications as well as review articles in all areas of electrochemistry: Scope - Theoretical and Computational Electrochemistry - Processes on Electrodes - Electroanalytical Chemistry and Sensor Science - Corrosion - Electrochemical Energy Conversion and Storage - Electrochemical Engineering - Coatings - Electrochemical Synthesis - Bioelectrochemistry - Molecular Electrochemistry
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