Kejia Chen, M. Kishida, Nitish Nair, M. Strano, R. Braatz
{"title":"Parameter identifiability in parallel reaction networks with application to single-walled carbon nanotubes","authors":"Kejia Chen, M. Kishida, Nitish Nair, M. Strano, R. Braatz","doi":"10.1109/ACC.2011.5991172","DOIUrl":null,"url":null,"abstract":"The class of parameter estimation problems is characterized for which only the ratio of the model parameters can be identified. A mathematical signature is provided for identifying such systems, which include fed-batch reactors commonly operated in the chemical and biotechnology industries, in which reaction networks operate under quasi-steady-state conditions due to limiting addition of a reagent. The theoretical results are demonstrated through application to a single-walled carbon nanotube (SWNT) reaction network relevant to the design of nanobiosensors. Sensitivity analysis implies that such a quasi-steady-state operation of a fed-batch reactor results in the loss of information, in which none of the model parameters can be estimated.","PeriodicalId":225201,"journal":{"name":"Proceedings of the 2011 American Control Conference","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2011 American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACC.2011.5991172","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
The class of parameter estimation problems is characterized for which only the ratio of the model parameters can be identified. A mathematical signature is provided for identifying such systems, which include fed-batch reactors commonly operated in the chemical and biotechnology industries, in which reaction networks operate under quasi-steady-state conditions due to limiting addition of a reagent. The theoretical results are demonstrated through application to a single-walled carbon nanotube (SWNT) reaction network relevant to the design of nanobiosensors. Sensitivity analysis implies that such a quasi-steady-state operation of a fed-batch reactor results in the loss of information, in which none of the model parameters can be estimated.