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Two stage model for carcinogenesis: number and size distributions of premalignant clones in longitudinal studies.

The two stage clonal expansion model of carcinogenesis provides a convenient biologically based framework for the description of toxicologic and epidemiologic data on carcinogenesis. Under this model, a cancer cell is generated following the occurrence of two critical mutations in a single stem cell. Initiated cells that have sustained the first mutation undergo a stochastic birth-death process resulting in clonal expansion of the initiated cell population. In this article, we consider the analysis of longitudinal data on the number and size of premalignant clones, formed by clonal expansion of initiated cells. In particular, the joint distribution of the number of premalignant clones observed at different points in time in the same subject is derived. The application of these results in the statistical analysis of longitudinal data on the number and size of premalignant clones observed in initiation-promotion experiments is indicated.

Authors

  • Dewanji, A, Dewanji A, Fred Hutchinson Cancer Research Center, Seattle, WA 98109-1024, USA.

  • Goddard, M J, Goddard MJ,

  • Krewski, D, Krewski D,

  • Moolgavkar, S H, Moolgavkar SH,

YEAR OF PUBLICATION: 1999
SOURCE: Math Biosci. 1999 Jan 1;155(1):1-12. doi: 10.1016/s0025-5564(98)10049-4.
JOURNAL TITLE ABBREVIATION: Math Biosci
JOURNAL TITLE: Mathematical biosciences
ISSN: 0025-5564 (Print) 0025-5564 (Linking)
VOLUME: 155
ISSUE: 1
PAGES: 1-12
PLACE OF PUBLICATION: United States
ABSTRACT:
The two stage clonal expansion model of carcinogenesis provides a convenient biologically based framework for the description of toxicologic and epidemiologic data on carcinogenesis. Under this model, a cancer cell is generated following the occurrence of two critical mutations in a single stem cell. Initiated cells that have sustained the first mutation undergo a stochastic birth-death process resulting in clonal expansion of the initiated cell population. In this article, we consider the analysis of longitudinal data on the number and size of premalignant clones, formed by clonal expansion of initiated cells. In particular, the joint distribution of the number of premalignant clones observed at different points in time in the same subject is derived. The application of these results in the statistical analysis of longitudinal data on the number and size of premalignant clones observed in initiation-promotion experiments is indicated.
LANGUAGE: eng
DATE OF PUBLICATION: 1999 Jan 1
DATE COMPLETED: 19990326
DATE REVISED: 20191024
MESH DATE: 1999/02/20 00:01
EDAT: 1999/02/20 00:00
STATUS: MEDLINE
PUBLICATION STATUS: ppublish
OWNER: NLM

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Daniel Krewski

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Dr. Daniel Krewski is Chief Risk Scientist and co-founder of Risk Sciences International (RSI), a firm established in 2006 to bring evidence-based, multidisciplinary expertise to the challenge of understanding, managing, and communicating risk. As RSI’s inaugural CEO and long-time scientific...
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