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Some Properties of the Hazard Function of the Two‐Mutation Clonal Expansion Model

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  • Wolfgang F. Heidenreich
  • E. Georg Luebeck
  • Suresh H. Moolgavkar

Abstract

We discuss the hazard function of the two‐mutation clonal expansion model with time‐dependent parameters, with particular emphasis on identifiability of the parameters. We explicitly construct identifiable parameter combinations, and illustrate the properties of the hazard function under perturbations of the underlying biological parameters.

Suggested Citation

  • Wolfgang F. Heidenreich & E. Georg Luebeck & Suresh H. Moolgavkar, 1997. "Some Properties of the Hazard Function of the Two‐Mutation Clonal Expansion Model," Risk Analysis, John Wiley & Sons, vol. 17(3), pages 391-399, June.
    • Handle: RePEc:wly:riskan:v:17:y:1997:i:3:p:391-399
    DOI: 10.1111/j.1539-6924.1997.tb00878.x
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    References listed on IDEAS

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    1. Kenny S. Crump, 1994. "Limitations of Biological Models of Carcinogenesis for Low‐Dose Extrapolation," Risk Analysis, John Wiley & Sons, vol. 14(6), pages 883-886, December.
    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. David W. Gaylor & Qi Zheng, 1996. "Risk Assessment of Nongenotoxic Carcinogens Based upon Cell Proliferation/Death Rates in Rodents," Risk Analysis, John Wiley & Sons, vol. 16(2), pages 221-225, April.
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    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. Michael Greenberg & Charles Haas & Anthony Cox & Karen Lowrie & Katherine McComas & Warner North, 2012. "Ten Most Important Accomplishments in Risk Analysis, 1980–2010," Risk Analysis, John Wiley & Sons, vol. 32(5), pages 771-781, May.
    3. Suresh H. Moolgavkar & Ellen T. Chang & Georg Luebeck & Edmund C. Lau & Heather N. Watson & Kenny S. Crump & Paolo Boffetta & Roger McClellan, 2015. "Diesel Engine Exhaust and Lung Cancer Mortality: Time‐Related Factors in Exposure and Risk," Risk Analysis, John Wiley & Sons, vol. 35(4), pages 663-675, April.
    4. Mark P Little & Wolfgang F Heidenreich & Guangquan Li, 2009. "Parameter Identifiability and Redundancy in a General Class of Stochastic Carcinogenesis Models," PLOS ONE, Public Library of Science, vol. 4(12), pages 1-6, December.
    5. Jihyoun Jeon & Rafael Meza & Martin Krapcho & Lauren D. Clarke & Jeff Byrne & David T. Levy, 2012. "Chapter 5: Actual and Counterfactual Smoking Prevalence Rates in the U.S. Population via Microsimulation," Risk Analysis, John Wiley & Sons, vol. 32(s1), pages 51-68, August.
    6. William D. Hazelton & Jihyoun Jeon & Rafael Meza & Suresh H. Moolgavkar, 2012. "Chapter 8: The FHCRC Lung Cancer Model," Risk Analysis, John Wiley & Sons, vol. 32(s1), pages 99-116, August.

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