A mathematical algorithm that computes breast cancer sizes and doubling times detected by screening

Ries, 2000, The annual report to the nation on the status of cancer, 1973–1977, with a special section on colorectal cancer, Cancer, 88, 2398, 10.1002/(SICI)1097-0142(20000515)88:10<2398::AID-CNCR26>3.0.CO;2-I Shwartz, 1978, A mathematical model used to analyze breast cancer screening strategies, Oper. Res., 26, 937, 10.1287/opre.26.6.937 Blumenson, 1976, When is screening effective in reducing the death rate?, Math. Biosci., 30, 273, 10.1016/0025-5564(76)90070-5 Levin, 1986, A model for projecting cancer incidence and mortality in the presence of prevention, screening, and treatment programs, NCI Monogr., 2, 83 Walter, 1983, Estimation of the duration of a pre-clinical disease state using screening data, Am. J. Epidemiol., 118, 865, 10.1093/oxfordjournals.aje.a113705 Eddy, 1988, The value of mammography screening in women under age 50 years, JAMA, 259, 1512, 10.1001/jama.1988.03720100030034 Oortmarssen, 1990, A model for breast cancer screening, Cancer, 66, 1601, 10.1002/1097-0142(19901001)66:7<1601::AID-CNCR2820660727>3.0.CO;2-O Jansen, 1995, MBS: a model for risk benefit analysis of breast cancer screening, Br. J. Radiol., 68, 141, 10.1259/0007-1285-68-806-141 Koscielny, 1985, A simulation model of the natural history of human breast cancer, Cancer, 52, 515, 10.1038/bjc.1985.222 Tubiana, 1990, The natural history of breast cancer: implications for a screening strategy, Int. J. Radiat. Oncol. Biol. Phys., 19, 1117, 10.1016/0360-3016(90)90213-4 Michaelson, 1999, Breast cancer: computer simulation method for estimating optimal intervals for screening, Radiology, 212, 551, 10.1148/radiology.212.2.r99au49551 von Fournier, 1980, Growth rate of 147 mammary carcinomas, Cancer, 45, 2198, 10.1002/1097-0142(19800415)45:8<2198::AID-CNCR2820450832>3.0.CO;2-7 Kuroishi, 1990, Tumor growth rate and prognosis of breast cancer mainly detected by mass screening, Jpn. J. Cancer Res., 81, 454, 10.1111/j.1349-7006.1990.tb02591.x Spratt, 1993, Mammographic assessment of human breast cancer growth and duration, Cancer, 71, 2020, 10.1002/1097-0142(19930315)71:6<2020::AID-CNCR2820710616>3.0.CO;2-# Peer, 1993, Age-dependent growth of primary breast cancer, Cancer, 71, 3547, 10.1002/1097-0142(19930601)71:11<3547::AID-CNCR2820711114>3.0.CO;2-C Kusama, 1972, The gross rates of growth of human mammary carcinoma, Cancer, 30, 594, 10.1002/1097-0142(197208)30:2<594::AID-CNCR2820300241>3.0.CO;2-2 Atkinson, 1983, On estimating the growth function of tumors, Math. Biosci., 67, 145, 10.1016/0025-5564(83)90097-4 Papoulis, 1984 Surveillance, Epidemiology and End Results (SEER) Program, National Cancer Institute (http://www-seer.ims.nci.nih.gov) Norton, 1988, A gompertzian model of human breast cancer growth, Cancer Res., 48, 7067 Hart, 1998, The growth law of primary breast cancer as inferred from data from mammography screening trials, Br. J. Cancer, 78, 382, 10.1038/bjc.1998.503 Shapiro, 1988 L. Tabar, G. Fagerberg, S.W. Duffy, N.E. Day, A. Gad, O. Grontoft, Update of the Swedish two-county program of mammographic screening for breast cancer, Radiologic Clinics of North America 30 (1992) 187 Fletcher, 1993, Report of the international workshop on screening for breast cancer, J. National Cancer Institute, 85, 1644, 10.1093/jnci/85.20.1644