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Calculating the Hazard Function and Probability of Tumor for Cancer Risk Assessment When the Parameters Are Time‐Dependent

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  • Dennis W. Quinn

Abstract

The probability of tumor and hazard function are calculated in a stochastic two‐stage model for carcinogenesis when the parameters of the model are time‐dependent. The method used is called the method of characteristics.

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  • 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.
    • Handle: RePEc:wly:riskan:v:9:y:1989:i:3:p:407-413
    DOI: 10.1111/j.1539-6924.1989.tb01006.x
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Rudolf T. Hoogenveen & Harvey J. Clewell & Melvin E. Andemen & Wout Slob, 1999. "An Alternative Exact Solution of the Two‐Stage Clonal Growth Model of Cancer," Risk Analysis, John Wiley & Sons, vol. 19(1), pages 9-14, February.
    2. Qi Zheng, 1997. "A Unified Approach to a Class of Stochastic Carcinogenesis Models," Risk Analysis, John Wiley & Sons, vol. 17(5), pages 617-624, October.
    3. Qi Zheng, 1995. "On the MVK Stochastic Carcinogenesis Model with Erlang Distributed Cell Life Lengths," Risk Analysis, John Wiley & Sons, vol. 15(4), pages 495-502, August.
    4. Harvey J. Clewell III & Dennis W. Quinn & Melvin E. Andersen & Rory B. Conolly, 1995. "An Improved Approximation to the Exact Solution of the Two‐Stage Clonal Growth Model of Cancer," Risk Analysis, John Wiley & Sons, vol. 15(4), pages 467-473, August.
    5. Kenny S. Crump & Ravi P. Subramaniam & Cynthia B. Van Landingham, 2005. "A Numerical Solution to the Nonhomogeneous Two‐Stage MVK Model of Cancer," Risk Analysis, John Wiley & Sons, vol. 25(4), pages 921-926, August.

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