Identification problem for stochastic models with application to carcinogenesis, cancer detection and radiation biology

A general framework for solving identification problem for a broad class of deterministic and stochastic models is discussed. This methodology allows for a unified approach to studying identifiability of various stochastic models arising in biology and medicine including models of spontaneous and in...

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Main Author:	L. G. Hanin
Format:	Article
Language:	English
Published:	Hindawi Limited 2002-01-01
Series:	Discrete Dynamics in Nature and Society
Subjects:	Cancer detection; Carcinogenesis; Difference equation; Hazard function; Hit and target model of irradiated cell survival; Identification problem.
Online Access:	http://dx.doi.org/10.1080/1026022021000001454

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spelling	doaj-a4afea207e5347eaa815d440b157128c2020-11-24T22:30:59ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2002-01-017317718910.1080/1026022021000001454Identification problem for stochastic models with application to carcinogenesis, cancer detection and radiation biologyL. G. Hanin0Department of Mathematics, Idaho State University and Huntsman Cancer Institute of the University of Utah, Idaho State University, Pocatello, ID 83209-8085, USAA general framework for solving identification problem for a broad class of deterministic and stochastic models is discussed. This methodology allows for a unified approach to studying identifiability of various stochastic models arising in biology and medicine including models of spontaneous and induced Carcinogenesis, tumor progression and detection, and randomized hit and target models of irradiated cell survival. A variety of known results on parameter identification for stochastic models is reviewed and several new results are presented with an emphasis on rigorous mathematical development.http://dx.doi.org/10.1080/1026022021000001454Cancer detection; Carcinogenesis; Difference equation; Hazard function; Hit and target model of irradiated cell survival; Identification problem.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	L. G. Hanin
spellingShingle	L. G. Hanin Identification problem for stochastic models with application to carcinogenesis, cancer detection and radiation biology Discrete Dynamics in Nature and Society Cancer detection; Carcinogenesis; Difference equation; Hazard function; Hit and target model of irradiated cell survival; Identification problem.
author_facet	L. G. Hanin
author_sort	L. G. Hanin
title	Identification problem for stochastic models with application to carcinogenesis, cancer detection and radiation biology
title_short	Identification problem for stochastic models with application to carcinogenesis, cancer detection and radiation biology
title_full	Identification problem for stochastic models with application to carcinogenesis, cancer detection and radiation biology
title_fullStr	Identification problem for stochastic models with application to carcinogenesis, cancer detection and radiation biology
title_full_unstemmed	Identification problem for stochastic models with application to carcinogenesis, cancer detection and radiation biology
title_sort	identification problem for stochastic models with application to carcinogenesis, cancer detection and radiation biology
publisher	Hindawi Limited
series	Discrete Dynamics in Nature and Society
issn	1026-0226 1607-887X
publishDate	2002-01-01
description	A general framework for solving identification problem for a broad class of deterministic and stochastic models is discussed. This methodology allows for a unified approach to studying identifiability of various stochastic models arising in biology and medicine including models of spontaneous and induced Carcinogenesis, tumor progression and detection, and randomized hit and target models of irradiated cell survival. A variety of known results on parameter identification for stochastic models is reviewed and several new results are presented with an emphasis on rigorous mathematical development.
topic	Cancer detection; Carcinogenesis; Difference equation; Hazard function; Hit and target model of irradiated cell survival; Identification problem.
url	http://dx.doi.org/10.1080/1026022021000001454
work_keys_str_mv	AT lghanin identificationproblemforstochasticmodelswithapplicationtocarcinogenesiscancerdetectionandradiationbiology
_version_	1725739072221085696

Identification problem for stochastic models with application to carcinogenesis, cancer detection and radiation biology

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