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Multistage Model Interpretation of Additive and Multiplicative Carcinogenic Effects

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  • Herman J. Gibb
  • Chao W. Chen

Abstract

Under the assumption of multistage carcinogenesis, a multiplicative carcinogenic effect would be produced by the action of different carcinogens in a mixture on different stages of the carcinogenic process. An additive effect would be produced by the effect of different carcinogens on the same stage. A mathematical argument for these hypotheses is presented here.

Suggested Citation

  • Herman J. Gibb & Chao W. Chen, 1986. "Multistage Model Interpretation of Additive and Multiplicative Carcinogenic Effects," Risk Analysis, John Wiley & Sons, vol. 6(2), pages 167-170, June.
    • Handle: RePEc:wly:riskan:v:6:y:1986:i:2:p:167-170
    DOI: 10.1111/j.1539-6924.1986.tb00204.x
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    References listed on IDEAS

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    1. Kenny S. Clump & Richard B. Howe, 1984. "The Multistage Model with a Time‐Dependent Dose Pattern: Applications to Carcinogenic Risk Assessment," Risk Analysis, John Wiley & Sons, vol. 4(3), pages 163-176, September.
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    Cited by:

    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. Charles C. Brown & Kenneth C. Chu, 1989. "Additive and Multiplicative Models and Multistage Carcinogenesis Theory," Risk Analysis, John Wiley & Sons, vol. 9(1), pages 99-105, March.
    3. James J. Chen & David W. Gaylor & Ralph L. Kodell, 1990. "Estimation of the Joint Risk from Multiple‐Compound Exposure Based on Single‐Compound Experiments," Risk Analysis, John Wiley & Sons, vol. 10(2), pages 285-290, June.
    4. Sati Mazumdar & Carol K. Redmond & Philip E. Enterline & Gary M. Marsh & Joseph P. Costantino & Susan Y. J. Zhou & Rita N. Patwardhan, 1989. "Multistage Modeling of Lung Cancer Mortality Among Arsenic‐Exposed Copper‐Smelter Workers," Risk Analysis, John Wiley & Sons, vol. 9(4), pages 551-563, December.
    5. David W. Gaylor & James J. Chen, 1996. "A Simple Upper Limit for the Sum of the Risks of the Components in a Mixture," Risk Analysis, John Wiley & Sons, vol. 16(3), pages 395-398, June.

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