Abstract
A distribution of tumor size at detection is derived within the framework of a mechanistic model of carcinogenesis with the object of estimating biologically meaningful parameters of tumor latency. Its limiting form appears to be a generalization of the distribution that arises in the length-biased sampling from stationary point processes. The model renders the associated estimation problems tractable. The usefulness of the proposed approach is illustrated with an application to clinical data on premenopausal breast cancer.
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Selected References
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- Kimmel M., Flehinger B. J. Nonparametric estimation of the size-metastasis relationship in solid cancers. Biometrics. 1991 Sep;47(3):987–1004. [PubMed] [Google Scholar]
- Klebanov L. B., Rachev S. T., Yakovlev AYu A stochastic model of radiation carcinogenesis: latent time distributions and their properties. Math Biosci. 1993 Jan;113(1):51–75. doi: 10.1016/0025-5564(93)90008-x. [DOI] [PubMed] [Google Scholar]
- Kopp-Schneider A., Portier C. J., Sherman C. D. The exact formula for tumor incidence in the two-stage model. Risk Anal. 1994 Dec;14(6):1079–1080. doi: 10.1111/j.1539-6924.1994.tb00078.x. [DOI] [PubMed] [Google Scholar]
- Moolgavkar S. H., Knudson A. G., Jr Mutation and cancer: a model for human carcinogenesis. J Natl Cancer Inst. 1981 Jun;66(6):1037–1052. doi: 10.1093/jnci/66.6.1037. [DOI] [PubMed] [Google Scholar]
- Yakovlev A., Polig E. A diversity of responses displayed by a stochastic model of radiation carcinogenesis allowing for cell death. Math Biosci. 1996 Feb;132(1):1–33. doi: 10.1016/0025-5564(95)00047-x. [DOI] [PubMed] [Google Scholar]
- de la Rochefordiere A., Asselain B., Campana F., Scholl S. M., Fenton J., Vilcoq J. R., Durand J. C., Pouillart P., Magdelenat H., Fourquet A. Age as prognostic factor in premenopausal breast carcinoma. Lancet. 1993 Apr 24;341(8852):1039–1043. doi: 10.1016/0140-6736(93)92407-k. [DOI] [PubMed] [Google Scholar]