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A Stochastic Two‐Stage Model for Cancer Risk Assessment. I. The Hazard Function and the Probability of Tumor

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  • Suresh H. Moolgavkar
  • Anup Dewanji
  • David J. Venzon

Abstract

We present a mathematical treatment of a two‐mutation model for carcinogenesis with time‐dependent parameters. This model has previously been shown to be consistent with epidemiologic and experimental data. An approximate hazard function used in previous papers is critically evaluated.

Suggested Citation

  • Suresh H. Moolgavkar & Anup Dewanji & David J. Venzon, 1988. "A Stochastic Two‐Stage Model for Cancer Risk Assessment. I. The Hazard Function and the Probability of Tumor," Risk Analysis, John Wiley & Sons, vol. 8(3), pages 383-392, September.
  • Handle: RePEc:wly:riskan:v:8:y:1988:i:3:p:383-392
    DOI: 10.1111/j.1539-6924.1988.tb00502.x
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    References listed on IDEAS

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    1. Leon B. Ellwein & Samuel M. Cohen, 1988. "A Cellular Dynamics Model of Experimental Bladder Cancer: Analysis of the Effect of Sodium Saccharin in the Rat," Risk Analysis, John Wiley & Sons, vol. 8(2), pages 215-221, June.
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    Cited by:

    1. Dennis W. Quinn, 1989. "Calculating the Hazard Function and Probability of Tumor for Cancer Risk Assessment When the Parameters Are Time‐Dependent," Risk Analysis, John Wiley & Sons, vol. 9(3), pages 407-413, September.
    2. 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.
    3. Theodore R. Holford & Keita Ebisu & Lisa McKay & Cheongeun Oh & Tongzhang Zheng, 2012. "Chapter 12: Yale Lung Cancer Model," Risk Analysis, John Wiley & Sons, vol. 32(s1), pages 151-165, August.
    4. Pamela M. McMahon & William D. Hazelton & Marek Kimmel & Lauren D. Clarke, 2012. "Chapter 13: CISNET Lung Models: Comparison of Model Assumptions and Model Structures," Risk Analysis, John Wiley & Sons, vol. 32(s1), pages 166-178, August.

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