Dynamics of cancer progression

Nature Reviews Cancer

Volumn 4, Issue 3, 2004, Pages 197-205

  Michor, Franziska ^a   Iwasa, Yoh ^b   Nowak, Martin A ^a  

^a HARVARD UNIVERSITY   (United States)

^b KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CANCER GROWTH; DYNAMICS; GENE ACTIVATION; GENE MUTATION; GENETIC SELECTION; GENETIC STABILITY; MATHEMATICAL MODEL; MOLECULAR EVOLUTION; ONCOGENE; PRIORITY JOURNAL; REVIEW; TUMOR SUPPRESSOR GENE;

EID: 1542619851     PISSN: 1474175X     EISSN: None     Source Type: Journal    
DOI: 10.1038/nrc1295     Document Type: Review

References (67)

1. Vogelstein, B. & Kinzler, K. W. The Genetic Basis of Human Cancer (McGraw-Hill, 1998).
2. Kinzler, K. W. & Vogelstein, B. Gatekeepers and caretakers. Nature 386, 761-763 (1997).
3. Rajagopalan, H., Nowak, M. A., Vogelstein, B. & Lengauer, C. The significance of unstable chromosomes in colorectal cancer. Nature Rev. Cancer 3, 695-701 (2003).
4. Sieber, O. M., Heinimann, K. & Tomlinson, I. P. Genomic instability - the engine of tumorigenesis? Nature Rev. Cancer 3, 701-708 (2003).
5. Bissell, M. J. & Radisky, D. Putting tumors in context. Nature Rev. Cancer 1, 46-54 (2001).
6. Boveri, T. Zur Frage der Entstehung maligner Tumoren (Gustav Fischer, 1914). English translation: The origin of malignant tumors by Boveri, M. (Williams and Wilkins, 1929).
7. Boveri, T. Zur Frage der Entstehung maligner Tumoren (Gustav Fischer, 1914). English translation: The origin of malignant tumors by Boveri, M. (Williams and Wilkins, 1929).
8. Muller, H. J. Artificial transmutation of the gene. Science 46, 84-87 (1927).
9. Knudson, A. G. Two genetic hits to cancer. Nature Rev. Cancer 1, 157-162 (2001).
10. Knudson, A. G. Mutation and cancer: statistical study of retinoblastoma. Proc. Natl Acad. Sci. USA 68, 820-823 (1971).
11. Moolgavkar, S. H. & Knudson, A. G. Mutation and cancer: a model for human carcinogenesis. J. Natl Cancer Inst. 66, 1037-1052 (1981).
12. Cairns, J. Mutation selection and the natural history of cancer. Nature 255, 197-200 (1975).
13. Cairns, J. Somatic stem cells and the kinetics of mutagenesis and carcinogenesis. Proc. Natl Acad. Sci. USA 99, 10567-10570 (2002).
14. Frank, S. A., Iwasa, Y. & Nowak, M. A. Patterns of cell division and the risk of cancer. Genetics 163, 1527-1532 (2003).
15. Frank, S. A. & Nowak, M. A. Cell biology: developmental predisposition to cancer. Nature 422, 494 (2003).
16. Gatenby, R. A. & Mainl, P. K. Mathematical oncology: cancer summed up. Nature 421, 321 (2003).
17. Nordling, C. O. A new theory on cancer-inducing mechanism. Br. J. Cancer 7, 68-72 (1953).
18. Armitage, P. & Doll, R. The age distribution of cancer and a multi-stage theory of carcinogenesis. Br. J. Cancer 8, 1-12 (1954).
19. Armitage, P. & Doll, R. A two-stage theory of carcinogenesis in relation to the age distribution of human cancer. Br. J. Cancer 11, 161-169 (1957).
20. Fisher, J. C. Multiple-mutation theory of carcinogenesis. Nature 181, 651-652 (1959).
21. Nunney L. Lineage selection and the evolution of multistage carcinogenesis. Proc. Roy. Soc. Lond. B Biol. Sci. 266, 493-498 (1999).
22. Tomlinson, I., Sasieni, P. & Bodmer, W. How many mutations in a cancer? Am. J. Pathol. 160, 755-758 (2002).
23. Moolgavkar, S. H. & Knudson, A. G. Mutation and cancer: a model for human carcinogenesis. J. Natl Cancer Inst. 66, 1037-1052 (1981).
24. Luebeck, E. G. & Moolgavkar, S. H. Multistage carcinogenesis and the incidence of colorectal cancer. Proc. Natl Acad. Sci. USA 99, 15095-15100 (2002).
25. Grist, S. A., McCarron, M., Kutlaca, A., Turner, D. R. & Morley, A. A. In vivo human somatic mutation: frequency and spectrum with age. Mutat. Res. 266, 189-196 (1992).
26. Gatenby, R. A. & Vincent, T. L. An evolutionary model of carcinogenesis. Cancer Res. 63, 6212-6220 (2003).
27. Goldie, J. H. & Coldman, A. J. A mathematic model for relating the drug sensitivity of tumors to their spontaneous mutation rate. Cancer Treat. Rep. 63, 1727-1733 (1979).
28. Goldie, J. H. & Coldman, A. J. Quantitative model for multiple levels of drug resistance in clinical tumors. Cancer Treat. Rep. 67, 923-931 (1983).
29. Anderson, A. R. & Chaplain, M. A. Continuous and discrete mathematical models of tumor-induced angiogenesis. Bull. Math. Biol. 60, 857-899 (1998).
30. Owen, M. R. & Sherratt, J. A. Mathematical modeling of macrophage dynamics in tumors. Math. Models Methods Appl. Biol. Chem. 377, 675-684 (1999).
31. Chang, S., Khoo, C. & DePinho, R. A. Modeling chromosomal instability and epithelial carcinogenesis in the telomerase-deficient mouse. Semin. Cancer Biol. 11, 227-239 (2001).
32. Chang, S., Khoo, C., Naylor, M. L. Maser, R. S. & DePinho, R. A. Telomere-based crisis: functional differences between telomerase activation and ALT in tumor progression. Genes Dev. 17, 88-100 (2003).
33. Maser, R. S. & DePinho, R. A. Connecting chromosomes, crisis, and cancer. Science 297, 565-569 (2002).
34. Taddei, F. et al. Role of mutator alleles in adaptive evolution. Nature 387, 700-702 (1997).
35. Otsuka, K. et al. Analysis of the human APC mutation spectrum in a saccharomyces cerevisiae strain with a mismatch repair defect. Int. J. Cancer 103, 624-630 (2003).
36. Strauss, B. S. Hypermutability in carcinogenesis. Genetics 148, 1619-1626 (1998).
37. Mintz, B. Clonal basis of mammalian differentiation. Symp. Soc. Exp. Biol. 25, 345-370 (1971).
38. Michor, F., Nowak, M. A., Frank, S. A. & Iwasa, Y. Stochastic elimination of cancer cells. Proc. Roy. Soc. Lond. B Biol. Sci. 270, 2017-2024 (2003).
39. Moran, P. The Statistical Processes of Evolutionary Theory (Clarendon Press, 1962).
40. Komarova, N. L., Sengupta, A. & Nowak, M. A. Mutation-selection networks of cancer initiation: tumor suppressor genes and chromosomal instability. Jour. Theor Biol. 223, 433-450 (2003).
41. Kimura, M. The role of compensatory neutral mutations in molecular evolution. J. Genet. 64, 7-19 (1985).
42. Michor, F., Iwasa, Y., Komarova, N. L. & Nowak, M. A. Local regulation of homeostasis favors chromosomal instability. Curr. Biol. 13, 581-584 (2003).
43. Michor, F., Frank, S. A., May, R. M., Iwasa, Y. & Nowak, M. A. Somatic selection for and against cancer. J. Theor. Biol. 225, 337-382 (2003).
44. Nowak, M. A., Michor, F. & Iwasa, Y. The linear process of somatic evolution. Proc. Natl. Acad. Sci. USA 100, 14966-14969 (2003).
45. Michor, F., Iwasa, Y., Rajagopalan, H., Lengauer, C. & Nowak, M. A. Linear model of colon cancer initiation. Cell Cycle (in the press).
46. Kunkel, T. A. & Bebenek, K. DNA replication fidelity. Annu. Rev. Biochem. 69, 497-529 (2000).
47. Bach, S. P., Renehan, A. G. & Potten, C. S. Stem cells: the intestinal stem cell as a paradigm. Carcinogenesis 21, 469-476 (2000).
48. Yatabe, Y., Tavare, S. & Shibata, D. Investigating stem cells in human colon by using methylation patterns. Proc. Natl Acad. Sci. USA 98, 10839-10844 (2001).
49. Weinberg, R. A. Tumor suppressor genes. Science 254, 1138-1146 (1991).
50. Levine, A. J. The tumor suppressor genes. Annu. Rev. Biochem. 62, 623-651 (1993).
51. Friend, S. H. et al. A human DNA segment with properties of the gene that predisposes to retinoblastoma and osteosarcoma. Nature 323, 643-646 (1986).
52. Iwasa, Y., Michor, F. & Nowak, M. A. Stochastic tunnels in evolutionary dynamics. Genetics, (in the press).
53. Nowak, M. A. et al. The role of chromosomal instability in tumor initiation. Proc. Natl Acad. Sci. USA 99, 16226-16231 (2002).
54. Lengauer, C., Kinzler, K. W. & Vogelstein, B. Genetic instabilities in human cancers. Nature 396, 623-649 (1998).
55. Nasmyth, K. Segregating sister genomes: the molecular biology of chromosome separation. Science 297, 559-565 (2002).
56. Kolodner, R. D., Putnam, C. D. & Myung, K. Maintenance of genome stability in Saccharomyces cerevisiae. Science 297, 552-557 (2002).
57. Shonn, M. A., McCarroll, R. & Murray, A. W. Requirement of the spindle checkpoint for proper chromosome segregation in budding yeast meiosis. Science 289, 300-303 (2000).
58. Rajagopalan, H. et al. Inactivation of hCDC4 can cause chromosomal instability. Nature (in the press).
59. Loeb, L. A. Mutator phenotype may be required for multistage carcinogenesis. Cancer Res. 51, 3075-3079 (1991).
60. Sieber, O. M. et al. Analysis of chromosomal instability in human colorectal adenomas with two mutational hits at APC. Proc. Natl Acad. Sci. USA 99, 16910-16915 (2002).
61. Tomlinson, I. P., Novelli, M. R. & Bodmer, W. F. The mutation rate and cancer. Proc. Natl Acad. Sci. USA 93, 14800-14803 (1996).
62. Little, M. P. & Wright, E. G. A stochastic carcinogenesis model incorporating genomic instability fitted to colon cancer data. Math. Biosciences 183, 111-134 (2003).
63. Wodarz, D. & Krakauer, D. C. Genetic instability and the evolution of angiogenic tumor cell lines. Oncol. Rep. 8, 1195-1201 (2001).
64. Plotkin, J. B. & Nowak, M. A. The different effects of apoptosis and DNA repair on tumorigenesis. J. Theor. Biol. 214, 452-467 (2002).
65. Komarova, N. L., Lengauer, C., Vogelstein, B. & Nowak, M. A. Dynamics of genetic instability in sporadic and familial colorectal cancer. Cancer Biol. Ther. 1, 685-692 (2002).
66. Bardelli, A. et al. Carcinogen-specific induction of genetic instability. Proc. Natl Acad. Sci. USA 98, 5770-5775 (2001).
67. Nowak, M. A. & Sigmund, K. Evolutionary dynamic of biological games. Science 303, 793-799 (2004).