{"title":"Parameter Estimation for Nonlinear Immune Response Model using EM","authors":"O. Bara, S. Djouadi, J. Day","doi":"10.1137/1.9781611974072.8","DOIUrl":null,"url":null,"abstract":"The problem of parameter estimation of reduced mathematical model of the acute inflammatory response is considered for the discrete case in the presence of disturbances and measurement noise. A method combining expectation maximization and particle filter is introduced. the parameters that characterize each virtual patient are of interest. We begin with a study of nonlinear observability of the system to justify the use of state estimation and finally we present some simulation and discuss the obtained results.","PeriodicalId":193106,"journal":{"name":"SIAM Conf. on Control and its Applications","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"SIAM Conf. on Control and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1137/1.9781611974072.8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
The problem of parameter estimation of reduced mathematical model of the acute inflammatory response is considered for the discrete case in the presence of disturbances and measurement noise. A method combining expectation maximization and particle filter is introduced. the parameters that characterize each virtual patient are of interest. We begin with a study of nonlinear observability of the system to justify the use of state estimation and finally we present some simulation and discuss the obtained results.
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