{"title":"非线性免疫应答模型的EM参数估计","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":"{\"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}","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}
Parameter Estimation for Nonlinear Immune Response Model using EM
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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