{"title":"Modeling Cell Kinetics using Branching Processes with Non-Homogeneous Poisson Immigration.","authors":"Ollivier Hyrien, Nikolay M Yanev","doi":"","DOIUrl":null,"url":null,"abstract":"<p><p>Age-dependent branching processes with non-homogeneous Poisson immigration are proposed as models of cell proliferation kinetics. The asymptotic behaviour of the first and second-order moments is investigated and the obtained results are use to develop a relevant statistical inference.</p>","PeriodicalId":75730,"journal":{"name":"Comptes rendus de l'Academie Bulgare des sciences : sciences mathematiques et naturelles","volume":"63 10","pages":"1405-1414"},"PeriodicalIF":0.0000,"publicationDate":"2010-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3666344/pdf/nihms270679.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes rendus de l'Academie Bulgare des sciences : sciences mathematiques et naturelles","FirstCategoryId":"1085","ListUrlMain":"","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Age-dependent branching processes with non-homogeneous Poisson immigration are proposed as models of cell proliferation kinetics. The asymptotic behaviour of the first and second-order moments is investigated and the obtained results are use to develop a relevant statistical inference.
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