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On the MVK Stochastic Carcinogenesis Model with Erlang Distributed Cell Life Lengths

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  • Qi Zheng

Abstract

This paper proposes extending the MVK carcinogenesis model by adopting the Erlang distribution for the life length of the intermediate cells. The investigation concentrates on the survival function and the mean value functions. The approach is basically numerical, making use of the Mathematica software system. The paper also provides a closed form expression for the survival function for a variation of the original MVK model, where all the model parameters are piecewise constants.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:riskan:v:15:y:1995:i:4:p:495-502
    DOI: 10.1111/j.1539-6924.1995.tb00342.x
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    References listed on IDEAS

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    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. Annette Kopp‐Schneider & Christopher J. Portier & Claire D. Sherman, 1994. "The Exact Formula for Tumor Incidence in the Two‐Stage Model," Risk Analysis, John Wiley & Sons, vol. 14(6), pages 1079-1080, December.
    3. Qi Zheng, 1994. "On the Exact Hazard and Survival Functions of the MVK Stochastic Carcinogenesis Model," Risk Analysis, John Wiley & Sons, vol. 14(6), pages 1081-1084, December.
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    Cited by:

    1. 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.

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