A stochastic model of radiation carcinogenesis: Latent time distributions and their properties
type: Item
instance of: scholarly article
title: A stochastic model of radiation carcinogenesis: Latent time distributions and their properties
zbMATH Open document ID: 0777.92008
DOI: 10.1016/0025-5564(93)90008-X
author: L. B. Klebanov
author: Svetlozar T. Rachev
author: A. Y. Yakovlev
published in: Mathematical Biosciences
publication date: 1993-06-29T00:00:00Z
review text: A stochastic model of radiation carcinogenesis is studied. The model of the effect of prolonged irradiation during the time interval \([0,T]\) is based on three basic assumptions: (1) The number of lesions accumulated by time \(T\) is a Poisson random variable with expectation \(\gamma T\), where \(\gamma\) is the parameter related to the dose rate. (2) There is a repair system for radiation injury. The number of unrepaired lesions is assumed to follow the Poisson process with intensity \(p\gamma\), where \(p\) is the stationary probability not to be repaired. (3) Each promoted lesion gives rise to an overt tumor after a certain period of time. These time periods are independent, identically distributed, nonnegative random variables. The distribution for the latent period is computed under the assumptions 1-3. The case of short-term irradiation, \(T\to 0\), is also considered. The final parts of the paper are devoted to the estimation problems and to the numerical examples.
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 62P10
zbMATH DE Number: 219756
zbMATH Keywords: survival model
zbMATH Keywords: parametric family of substochastic-type distributions for time of tumor latency
zbMATH Keywords: tumor incidence
zbMATH Keywords: rate of convergence
zbMATH Keywords: predictions of carcinogenic risk
zbMATH Keywords: censoring of time-to-tumor observations
zbMATH Keywords: stochastic model of radiation carcinogenesis
zbMATH Keywords: repair system for radiation injury
zbMATH Keywords: number of unrepaired lesions
zbMATH Keywords: Poisson process
zbMATH Keywords: distribution for the latent period
zbMATH Keywords: short-term irradiation
zbMATH Keywords: estimation problems
Wikidata QID: Q52404502
reviewed by: Petr Lansky
MaRDI profile type: Publication
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full work available at URL: 0025-5564(93)90008-x
OpenAlex ID: W2069235776
description: scientific article; zbMATH DE number 219756