{"title":"利用非均质泊松移民的分支过程建立细胞动力学模型","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":"{\"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}","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}
Modeling Cell Kinetics using Branching Processes with Non-Homogeneous Poisson Immigration.
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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