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Armitage‐Doll Two‐Stage Model: Implications and Extension

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  • Chao W. Chen

Abstract

The objective of this paper is twofold: (1) to provide insight on the simplified MVK model of carcinogenesis (a model proposed by Moolgavkar and colleagues) by revealing the relationship between the Armitage‐Doll two‐stage model and the simplified MVK model; and (2) to extend the Armitage‐Doll two‐stage model to one with time‐varying (piece‐wise constant) parameters. It is shown that the simplified MVK model is a special case of the Armitage‐Doll two‐stage model, and many applications of the simplified MVK model involving intermittent exposures or exposures to different compounds in different time periods can be derived easily from the Armitage‐Doll two‐stage model with piece‐wise constant parameters. The limitations of the Armitage‐Doll two‐stage model are discussed.

Suggested Citation

  • Chao W. Chen, 1993. "Armitage‐Doll Two‐Stage Model: Implications and Extension," Risk Analysis, John Wiley & Sons, vol. 13(3), pages 273-279, June.
    • Handle: RePEc:wly:riskan:v:13:y:1993:i:3:p:273-279
    DOI: 10.1111/j.1539-6924.1993.tb01079.x
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    References listed on IDEAS

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    1. Ralph L. Kodell & Daniel Krewski & Jan M. Zielinski, 1991. "Additive and Multiplicative Relative Risk in the Two‐Stage Clonal Expansion Model of Carcinogenesis," Risk Analysis, John Wiley & Sons, vol. 11(3), pages 483-490, September.
    2. Suresh Moolgavkar & Anup Dewanji, 1988. "Biologically Based Models for Cancer Risk Assessment: A Cautionary Note," Risk Analysis, John Wiley & Sons, vol. 8(1), pages 5-6, March.
    3. C. J. Portier & A. Kopp‐Schneide, 1991. "A Multistage Model of Carcinogenesis Incorporating DNA Damage and Repair," Risk Analysis, John Wiley & Sons, vol. 11(3), pages 535-543, September.
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