A two-stage model for childhood acute lymphoblastic leukemia: Application to hereditary and nonhereditary leukemogenesis

Mathematical Biosciences

Volumn 139, Issue 1, 1997, Pages 1-24

  Wheldon, Elizabeth G ^a   Lindsay, Kenneth A ^a   Wheldon, Thomas E ^a   Mao, Jian Hua ^a  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACUTE LYMPHOBLASTIC LEUKEMIA; ARTICLE; CHILDHOOD LEUKEMIA; FAMILIAL CANCER; HUMAN; LEUKEMOGENESIS; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; STATISTICAL ANALYSIS;

AGING; CHILD; CHILD, PRESCHOOL; EMBRYO; FEMALE; HUMANS; INCIDENCE; LEUKEMIA, LYMPHOCYTIC, ACUTE, L1; MALE; MIDDLE AGED; MODELS, GENETIC; MODELS, THEORETICAL; MUTATION; SEX FACTORS; STOCHASTIC PROCESSES;

EID: 0031018710     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(96)00136-8     Document Type: Article

References (21)

1. M. J. Renan, How many mutations are required for tumorigenesis? Implications for human cancer data. Mol. Carcinog. 7:139-146 (1993).
2. B. Vogelstein and K. W. Kinzler, The multistep nature of cancer. Trends Genet. 9:138-141 (1993).
3. C. O. Nordling, A new theory on the cancer inducing mechanism. Br. J. Cancer 7:68-72 (1953).
4. P. Armitage and R. Doll, The age distribution of cancer and a multistage theory of carcinogenesis. Br. J. Cancer 8:1-12 (1954).
5. P. Armitage and R. Doll, A two-stage theory of carcinogenesis in relation to the age distribution of human cancer. Br. J. Cancer 11:161-169 (1957).
6. S. H. Moolgavar and A. G. Knudson, Mutation and cancer: a model for human carcinogenesis. J. Natl. Cancer Inst. 66:1037-1052 (1981).
7. S. H. Moolgavar and E. G. Luebeck, Multistage carcinogenesis: population-based model for colon cancer. J. Natl. Cancer Inst. 84:610-618 (1992).
8. M. P. Little, Are two mutations sufficient to cause cancer? Biometrics (in press) (1997).
9. C. P. Portier, A. Kopp-Schneider, and C. D. Sherman, Using cell replication data in mathematical modelling in carcinogenesis. Environ. Health Perspect. 101(Suppl. 5):79-86 (1993).
10. A. G. Knudson, Mutation and cancer: statistical study of retinoblastoma. Proc. Natl. Acad. Sci. USA 68:820-823 (1971).
11. A. G. Knudson, H. W. Hethcote, and B. W. Brown, Mutation and childhood cancer: a probabilistic model for the incidence of retinoblastoma. Proc. Natl. Acad. Sci. USA 72:5116-5120 (1975).
12. W. Y. Tan, Stochastic Models of Carcinogenesis, Marcel Dekker, New York, 1991.
13. R. Doll, The epidemiology of childhood leukemia. J. Royal Stat. Soc. A 152:341-351 (1989).
14. M. F. Greaves and L. C. Chan, Is spontaneous mutation the major cause of childhood acute lymphoblastic leukaemia? Br. J. Haematol. 64:1-13 (1986).
15. M. F. Greaves, Stem cell origins of leukaemia and curability. Br. J. Cancer 67:413-423 (1993).
16. M. J. Gardner, M. P. Snee, A. J. Hall, C. A. Powell, S. Downes, and D. Terrell, Results of a case control study of leukaemia and lymphoma among young people near Sellafield nuclear plant. Br. Med. J. 300:423-429 (1990).
17. X. O. Shu, G. H. Reaman, B. Lampkin, H. N. Sather, T. W. Prendergrass, and L. L. Robison, Association of paternal diagnostic X-ray exposure with risk of infant leukaemia. Cancer Epidemiol. Biomark. Prev. 3:645-653 (1994).
18. C. A. Stiller, G. J. Draper, T. V. Vincent, and C. M. O'Conner, Incidence rates nationally and in administratively defined areas. In The Geographical Epidemiology of Childhood Leukaemia and Non-Hodgkin Lymphoma in Great Britain 1966-1983, G. P. Draper, Ed., Office of Population Censuses and Surveys, HMSO, London, 1991.
19. T. E. Wheldon, R. J. Mairs, A. Barrett, E. G. Wheldon, and B. E. Gibson, Alternative models for the onset of childhood leukaemia. Br. J. Cancer 66(Suppl. 18):13-19 (1992).
20. J. S. Wainscoate and M. F. Fey, Assessment of clonality in human tumors: a review. Cancer Res. 50:1355-1360 (1990).
21. J. H. Mao and T. E. Wheldon, A stochastic model for multistage tumorigenesis in developing and adult mice. Math. Biosci. 129:95-110 (1995).