A stochastic model of radiation carcinogenesis: Latent time distributions and their properties

DOI10.1016/0025-5564(93)90008-XzbMath0777.92008OpenAlexW2069235776WikidataQ52404502 ScholiaQ52404502MaRDI QIDQ1802913

Andrej Yu. Yakovlev, Svetlozar T. Rachev, Lev B. Klebanov

Publication date: 29 June 1993

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(93)90008-x

zbMATH Keywords

rate of convergencePoisson processsurvival modeltumor incidenceestimation problemscensoring of time-to-tumor observationsdistribution for the latent periodnumber of unrepaired lesionsparametric family of substochastic-type distributions for time of tumor latencypredictions of carcinogenic riskrepair system for radiation injuryshort-term irradiationstochastic model of radiation carcinogenesis

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Medical applications (general) (92C50)

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Cites Work

• A stochastic two-stage carcinogenesis model: A new approach to computing the probability of observing tumor in animal bioassays
• The application of a multistage model that incorporates DNA damage and repair to the analysis of initiation/promotion experiments
• Two-event models for carcinogenesis: Incidence curves for childhood and adult tumors
• Stochastic models of HIV epidemic in homosexual populations - the effects of mixing patterns
• Some classes of hit-theory models
• Weighted Kaplan-Meier Statistics: A Class of Distance Tests for Censored Survival Data
• Observations on a Stochastic Model for Quantal Assay Data
• Effects of Treatment-Induced Mortality and Tumor-Induced Mortality on Tests for Carcinogenicity in Small Samples
• The Analysis of Cancer Chemoprevention Experiments
• Mass transhipment problems and ideal metrics
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