Weibull-like model of cancer development in aging

Cancer Informatics

Volumn 9, Issue , 2010, Pages 179-188

  Mdzinarishvili, Tengiz ^a   Sherman, Simon ^a  

^a UNIVERSITY OF NEBRASKA MEDICAL CENTER   (United States)

Author keywords

Agin; Cancer; Cancer hazard; Weibull distribution

Indexed keywords

ADULT; AGED; AGING; ARTICLE; CANCER REGISTRY; CANCER RISK; CANCER SURVIVAL; CARCINOGENESIS; CLINICAL ARTICLE; CONTROLLED STUDY; FEMALE; HAZARD RATIO; HUMAN; LUNG CANCER; MALE; MATHEMATICAL MODEL; NONLINEAR REGRESSION ANALYSIS; POISSON DISTRIBUTION; PROBABILITY; RISK ASSESSMENT; SEX DIFFERENCE; VALIDATION PROCESS; CLONE; HAZARD ASSESSMENT; VALIDITY; WEIBULL LIKE MODEL;

EID: 77957158583     PISSN: 11769351     EISSN: 11769351     Source Type: Journal    
DOI: 10.4137/cin.s5460     Document Type: Article

References (29)

1. Clayton D, Schifflers E. Models for temporal variation in cancer rates. I: ageperiod and age-cohort models. Statistics in Medicine. 1987;6:449-67.
2. Clayton D, Schifflers E. Models for temporal variation in cancer rates. II: age-period-cohort models. Statistics in Medicine. 1987;6:469-81.
3. Holford TR. Understanding the effects of age, period, and cohort on incidence and mortality rates. Statistics in Medicine. 1991;12:425-57.
4. Mdzinarishvili T, Gleason MX, Sherman S. A novel approach for analysis of the log-linear age-period-cohort model: Application to Lung Cancer Incidence. Cancer Informatics. 2009;7:271-80.
5. Cook PJ, Doll R, Fellingham SA. A mathematical model for the age distribution of cancer in man. Int J Cancer. 1969;4:93-112.
6. Luebeck EG, Moolgavkar SH. Multistage carcinogenesis and the incidence of colorectal cancer. Proc Natl Acad Sci U S A. 2002;99:15095-100.
7. Meza R, Jeon J, Moolgavkar SH, Luebeck EG. Age-specific incidence of cancer: phases, transitions, and biological implications. Proc Natl Acad Sci U S A. 2008;105:16284-9.
8. Moolgavkar SH, Meza R, Turim J. Pleural and peritoneal mesotheliomas in SEER: age effects and temporal trends, 1973-2005. Cancer Causes Control. 2009;20(6):935-44.
9. Surveillance, Epidemiology, and End Results (SEER) Program (www.seer. cancer.gov) Limited-Use Data (1973-2004), National Cancer Institute, DCCPS, Surveillance Research Program, Cancer Statistics Branch, released Apr 2007, based on the Nov 2006 submission.
10. Mdzinarishvili T, Gleason MX, Sherman S. Estimation of hazard functions in the log-linear age-period-cohort model: application to lung cancer risk associated with geographical area. Cancer Informatics. 2010;9:67-78.
11. Mdzinarishvili T, Gleason MX, Sherman S. A generalized beta model for the age distribution of cancers: application to pancreatic and kidney cancer. Cancer Informatics. 2009;7:183-97.
12. Harding C, Pompei F, Lee E, Wilson R. Cancer suppression at old age. Cancer Res. 2008;68:4465-78.
13. Pompei F, Wilson R. Age distribution of cancer: the incidence turnover at old age. Hum Ecol Risk Assess. 2001;7:1619-50.
14. Selvin S. Statistical Analysis of Epidemiologic Data, 3rd Ed. Oxford University Press. 2004:1-39.
15. Kleinbaum DG, Klein M. Survival analysis, Second Ed. Springer Science +Business Media, Inc.; 2005:2-43.
16. Jewell NP. Statistics for Epidemiology. Chapman&Hall/CRC; 2004:12-4.
17. http://www.mathworks.com/products/statistics/demos.html?file=/products/demos/shipping/stats/wnlsdemo.html
18. Armitage P, Doll R. The age distribution of cancer and a multistage theory of carcinogenesis, British Journal of Cancer. 1954:8:1-12.
19. Klein JP, Andersen PK, Keiding N. Weibull distribution: in Encyclopedia of biostatistics, Armitage P, Colton T editors, 2nd Ed. John Wiley & Sons, Ltd. 2005:6193.
20. NIST/SEMATECH e-Handbook of Statistical Methods, http://www.itl.nist.gov/div898/handbook/apr/section1/apr171.htm
21. Rinne H. The Weibull Distribution: A handbook. CRC Press Taylor and Francis Group. 2009:41-2.
22. Krishnamoorthy K. Handbook of statistical distributions with applications. Charpman&Hall/CRC Taylor and Francis Group. 2006:263-76.
23. Jemal A, Siegel R, Ward E, et al. Cancer statistics, 2006. CA Cancer J Clin. 2006 Mar-Apr;56(2):106-30.
24. http://www.mathworks.com/products/statistics/demos.html?file=/products/demos/shipping/stats/cfitdfitdemo.html
25. Motulsky HJ, Christopoulos A. Fitting models to biological data using linear and nonlinear regression: A Practical Guide to Curve Fitting., Graph-Pad Software Inc., San Diego CA, www.graphpad.com. 2003;32-7 and pp.143-8.
26. Surveillance, Epidemiology, and End Results (SEER) Program. Standard Populations (Millions) for Age-Adjustment [cited 2009 Feb 2]. Available from: http://seer.cancer.gov/stdpopulations/stdpop.singleagesthru99.txt
27. Mdzinarishvili T, Gleason MX, Sherman S. Comment re: Cancer incidence falls for Oldest. Cancer Res. 2009;69(1):379.
28. Tikhonov AN, Arsenin VY. Solution of Ill-posed problems. New York; 1977:1-30.
29. Devore JL, Berk KN. Modern Mathematical Statistics with Applications. Duxbury Press. 2007:206.