Some properties of the hazard function of the two-mutation clonal expansion model

Risk Analysis

Volumn 17, Issue 3, 1997, Pages 391-399

  Heidenreich, Wolfgang F ^a   Luebeck, E Georg ^b   Moolgavkar, Suresh H ^b  

^a INSTITUTE OF EPIDEMIOLOGY   (Germany)

^b USA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CARCINOGENS; EPIDEMIOLOGY; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES;

HAZARD FUNCTION; TWO MUTATION CLONAL EXPANSION MODEL;

HAZARDS;

ARTICLE; CANCER INCIDENCE; CARCINOGENESIS; CELL CLONE; EXPOSURE; MALIGNANT TRANSFORMATION; MAXIMUM LIKELIHOOD METHOD; MUTATION; PARAMETER; PROBABILITY; RISK ASSESSMENT; STATISTICAL MODEL; STOCHASTIC MODEL;

ANIMALS; COCARCINOGENESIS; HUMANS; MATHEMATICS; MODELS, BIOLOGICAL; MUTATION; PROPORTIONAL HAZARDS MODELS; RISK;

EID: 0031171583     PISSN: 02724332     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1539-6924.1997.tb00878.x     Document Type: Article

References (25)

1. P. Armitage and R. Doll, "The Age Distribution of Cancer and Multistage Theory of Carcinogens," Br. J. Cancer 8, 1-12 (1954).
2. P. Armitage and R. Doll, "The Two-Stage Theory of Carcinogenesis in Relation to the Age Distribution of Human Cancers," Br. J. Cancer 11, 161-169 (1957).
3. C. W. Chen, "Armitage-Doll Two-Stage Model: Implications and Extensions," Risk Anal. 13, 273-279 (1993).
4. D. R. Cox and H. D. Miller, The Theory of Stochastic Processes (Chapman and Hall Ltd ., 1972).
5. K. S. Crump, "Limitations of Biological Models of Carcinogenesis for Low-Dose Extrapolation." Risk Anal. 14, 883-886 (1994).
6. A. Dewanji, S. H. Moolgavkar, and E. G. Luebeck, "Two-Mutation Model for Carcinogenesis: Joint Analysis of Premalignant and Malignant Lesions," Math Biosci. 104, 97-109 (1991).
7. D. W. Gaylor and Q. Zheng, "Risk Assessment of Nongenotoxic Carcinogens Based upon Cell Proliferation/Death Rates in Rodents," Risk Anal. 16, 221-225 (1996).
8. W. F. Heidenreich, "On the Parameters of the Clonal Expansion Model," Radiat. Environ. Biophys. 35, 127-129 (1996).
9. W. F. Heidenreich, P. Jacob, and H. G. Paretzke, "Exact Solutions of the Clonal Expansion Model and Their Application to the Incidence of Solid Tumors of the Atomic Bomb Survivors," Radiat. Environ. Biophys. 36, 45-58 (1997).
10. A. Kopp-Schneider and C. J. Portier, "Birth and Death/Differentiation Rates of Papillomas in Mouse Skin," Carcinogenesis 13, 973-978 (1992).
11. M. P. Little, "Are Two Mutations Sufficient to Cause Cancer? Some Generalization to the Two-Mutation Model of Carcinogenesis of Moolgavkar, Venzon and Knudson, and of the Multistage Model of Armitage and Doll," Biometrics 51, 1278-1291 (1995).
12. E. G. Luebeck, S. B. Curtis, F. T. Cross, and S. H. Moolgavkar, "Two-Stage Model of Radon-Induced Malignant Lung Tumors in Rats: Effects of Cell Killing," Radiation Research 145, 163-173 (1996).
13. S. H. Moolgavkar and D. J. Venzon, "Two-Event Models for Carcinogenesis: Incidence Curves for Childhood and Adult Tumors," Math. Biosci. 47, 55-77 (1979).
14. S. H. Moolgavkar and A. Knudson, "Mutation and Cancer: A Model for Human Carcinogenesis," J. Natl. Cancer Inst. 66, 1037-1052 (1981).
15. S. H. Moolgavkar, "Model for Human Carcinogenesis: Action of Environmental Agents," Environ. Health Perspect. 50, 285-291 (1983).
16. S. H. Moolgavkar, A. Dewanji, and D. J. Venzon, "A Stochastic Two-Stage Model for Cancer Risk Assessment. I. The Hazard Function and the Probability of Tumor," Risk Anal. 8, 383-392 (1988).
17. S. H. Moolgavkar, A. Dewanji, and G. Luebeck, "Cigarette Smoking and Lung Cancer: Reanalysis of the British Doctor's Data," Journ. Nation. Cancer Institute 81, 415-420 (1989).
18. S. H. Moolgavkar and E. G. Luebeck, "Two-Event Model for Carcinogenesis: Biological, Mathematical, and Statistical Considerations," Risk Anal. 10, 323-341 (1990).
19. S. H. Moolgavkar, F. T. Cross, E. G. Luebeck, and G. E. Dagle, "A Two-Mutation Model for Radon-Induced Lung Tumors in Rats," Rad. Res. 121, 28-37 (1990).
20. S. H. Moolgavkar, E. G. Luebeck, M. de Gunst, R. E. Port, and M. Schwarz, "Quantitative Analysis of Enzyme-Altered Foci in Rat Hepatocarcinogenesis Experiments. I: Single Agent Regi-men," Carcinogenesis 11(8), 1271-1278 (1990).
21. S. H. Moolgavkar, "Stochastic Models of Carcinogenesis," in C. R. Rao and R. Chakraborty (eds.), Handbook of Statistics, Vol. 8 (Elsevier Science Publishers B.V ., 1991), pp. 373-393.
22. S. H. Moolgavkar, "Cancer Models," in K. H. Chadwick, G. Moschini, and M. N. Varma (eds.), Biophysical Modeling of Radiation Effects (Adam Hilger, Bristol, 1992), pp. 239-252.
23. S. H. Moolgavkar and E. G. Luebeck, "Multistage Carcinogenesis: Population-Based Model for Colon Cancer," J. Natl. Cancer Inst. 84, 610-618 (1992).
24. S. H. Moolgavkar, E. G. Luebeck, D. Krewski, and J. M. Zielinski, "Radon, Cigarette Smoke, and Lung Cancer: A Reanalysis of the Colorado Plateau Uranium Miners' Data," Epidemiology 4(3), 204-217 (1993).
25. C. Portier and A. Kopp-Schneider, "A Multistage Model of Carcinogenesis Incorporating DNA Damage and Repair," Risk Anal. 11, 535-543 (1991).