Genetic progression and the waiting time to cancer

PLoS Computational Biology

Volumn 3, Issue 11, 2007, Pages 2239-2246

  Beerenwinkel, Niko ^a,d   Antal, Tibor ^a   Dingli, David ^a   Traulsen, Arne ^a   Kinzler, Kenneth W ^b   Velculescu, Victor E ^b   Vogelstein, Bert ^b,c   Nowak, Martin A ^a  

^a HARVARD UNIVERSITY   (United States)

^b JOHNS HOPKINS UNIVERSITY   (United States)

^c JOHNS HOPKINS UNIVERSITY   (United States)

^d ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

BEHAVIORAL RESEARCH; CELL CULTURE; CELL PROLIFERATION; DISEASES; GENES;

BASIC PARAMETERS; CANCER CELLS; CO-OPERATIVE BEHAVIORS; EVOLUTIONARY PROCESS; GENETIC ALTERATIONS; GENOMIC STUDIES; HIGH-THROUGHPUT GENOMICS; MUTATION RATES; NEW MATHEMATICAL MODEL; WAITING TIME;

CANCER CELLS;

ANALYTIC METHOD; ARTICLE; CANCER; CANCER GENETICS; CANCER GROWTH; CARCINOGENESIS; CELL GROWTH; CELL POPULATION; CLINICAL ARTICLE; COLORECTAL CANCER; GENETIC ANALYSIS; GENETIC STABILITY; GENETIC VARIABILITY; GENOME; HUMAN; HUMAN CELL; MATHEMATICAL MODEL; MOLECULAR EVOLUTION; MUTATION; PARAMETER; PHENOTYPE; ADENOMA; BIOLOGICAL MODEL; CARCINOMA; CELL TRANSFORMATION; COLON TUMOR; COMPUTER SIMULATION; GENETIC PREDISPOSITION; GENETICS;

DNA; TUMOR PROTEIN;

ADENOMA; CARCINOMA; CELL TRANSFORMATION, NEOPLASTIC; COLONIC NEOPLASMS; COMPUTER SIMULATION; DNA, NEOPLASM; GENETIC PREDISPOSITION TO DISEASE; HUMANS; MODELS, GENETIC; MUTATION; NEOPLASM PROTEINS;

EID: 36949025507     PISSN: 1553734X     EISSN: 15537358     Source Type: Journal    
DOI: 10.1371/journal.pcbi.0030225     Document Type: Article

References (45)

1. Vogelstein B, Kinzler KW (2004) Cancer genes and the pathways they control. Nat Med 10: 789-799.
2. Hanahan D, Weinberg RA (2000) The hallmarks of cancer. Cell 100: 57-70.
3. Knudson AG (2002) Cancer genetics. Am J Med Genet 111: 96-102.
4. Luebeck EG, Moolgavkar SH (2002) Multistage carcinogenesis and the incidence of colorectal cancer. Proc Natl Acad Sci U S A 99: 15095-15100.
5. Rajagopalan H, Nowak MA, Vogelstein B, Lengauer C (2003) The significance of unstable chromosomes in colorectal cancer. Nat Rev Cancer 3: 695-701.
6. Kinzler KW, Vogelstein B (1996) Lessons from hereditary colorectal cancer. Cell 87: 159-170.
7. Sjöblom T, Jones S, Wood LD, Parsons DW, Lin J, et al. (2006) The consensus coding sequences of human breast and colorectal cancers. Science 314: 268-274.
8. Greenman C, Stephens P, Smith R, Dalgliesh GL, Hunter C, et al. (2007) Patterns of somatic mutation in human cancer genomes. Nature 446: 153-158.
9. Kunkel TA, Bebenek K (2000) DNA replication fidelity. Annu Rev Biochem 69: 497-529.
10. Tomlinson I, Bodmer W (1999) Selection, the mutation rate and cancer: ensuring that the tail does not wag the dog. Nat Med 5: 11-12.
11. Wang T-L, Rago C, Silliman N, Ptak J, Markowitz S, et al. (2002) Prevalence of somatic alterations in the colorectal cancer cell genome. Proc Natl Acad Sci U S A 99: 3076-3080.
12. Tomlinson I, Sasieni P, Bodmer W (2002) How many mutations in a cancer? Am J Pathol 160: 755-758.
13. Lengauer C, Kinzler KW, Vogelstein B (1998) Genetic instabilities in human cancers. Nature 396: 643-649.
14. Loeb LA (2001) A mutator phenotype in cancer. Cancer Res 61: 3230-3239.
15. Nordling CO (1953) A new theory on cancer-inducing mechanism. Br J Cancer 7: 68-72.
16. Armitage P, Doll R (1954) The age distribution of cancer and a multi-stage theory of carcinogenesis. Br J Cancer 8: 1-12.
17. Armitage P, Doll R (1957) A two-stage theory of carcinogenesis in relation to the age distribution of human cancer. Br J Cancer 11: 161-169.
18. Moolgavkar SH, Knudson AG Jr (1981) Mutation and cancer: a model for human carcinogenesis. J Natl Cancer Inst 66: 1037-1052.
19. Nowak MA, Komarova NL, Sengupta A, Jallepalli PV, Shih Ie M, et al. (2002) The role of chromosomal instability in tumor initiation. Proc Natl Acad Sci U S A 99: 16226-16231.
20. Michor F, Iwasa Y, Nowak MA (2004) Dynamics of cancer progression. Nat Rev Cancer 4: 197-205.
21. Michor F, Iwasa Y, Lengauer C, Nowak MA (2005) Dynamics of colorectal cancer. Semin Cancer Biol 15: 484-493.
22. Little MP, Li G (2007) Stochastic modelling of colon cancer: is there a role for genomic instability? Carcinogenesis 28: 479-487.
23. Durrett R, Schmidt D, Schweinsberg J (2007) A waiting time problem arising from the study of multi-stage carcinogenesis. arXiv:0707.2057. Available: http://arxiv.org/abs/0707.2057. Accessed 11 October 2007.
24. O'Brien CA, Pollett A, Gallinger S, Dick JE (2007) A human colon cancer cell capable of initiating tumour growth in immunodeficient mice. Nature 445: 106-110.
25. Ricci-Vitiani L, Lombardi DG, Pilozzi E, Biffoni M, Todaro M, et al. (2007) Identification and expansion of human colon-cancer-initiating cells. Nature 445: 111-115.
26. Ewens WJ (2004) Mathematical population genetics. New York: Springer.
27. Potten CS (1998) Stem cells in gastrointestinal epithelium: numbers, characteristics and death. Philos Trans R Soc Lond B Biol Sci 353: 821-830.
28. Stoler DL, Chen N, Basik M, Kahlenberg MS, Rodriguez-Bigas MA, et al. (1999) The onset and extent of genomic instability in sporadic colorectal tumor progression. Proc Natl Acad Sci U S A 96: 15121-15126.
29. Dingli D, Traulsen A, Pacheco JM (2007) Stochastic dynamics of hematopoietic tumor stem cells. Cell Cycle 6: 461-466.
30. Friedberg EC (2003) DNA damage and repair. Nature 421: 436-440.
31. Slattery ML, Curtin K, Anderson K, Ma KN, Edwards S, et al. (2000) Associations between dietary intake and Ki-ras mutations in colon tumors: a population-based study. Cancer Res 60: 6935-6941.
32. Brink M, Weijenberg MP, De Goeij AF, Schouten LJ, Koedijk FD, et al. (2004) Fat and K-ras mutations in sporadic colorectal cancer in The Netherlands Cohort Study. Carcinogenesis 25: 1619-1628.
33. Rambhatla L, Ram-Mohan S, Cheng JJ, Sherley JL (2005) Immortal DNA strand cosegregation requires p53/IMPDH-dependent asymmetric self-renewal associated with adult stem cells. Cancer Res 65: 3155-3161.
34. Reya T, Morrison SJ, Clarke MF, Weissman IL (2001) Stem cells, cancer, and cancer stem cells. Nature 414: 105-111.
35. van Leeuwen IM, Byrne HM, Jensen OE, King JR (2006) Crypt dynamics and colorectal cancer: advances in mathematical modelling. Cell Prolif 39: 157-181.
36. Michor F, Hughes TP, Iwasa Y, Branford S, Shah NP, et al. (2005) Dynamics of chronic myeloid leukaemia. Nature 435: 1267-1270.
37. d'Onofrio A, Tomlinson IP (2007) A nonlinear mathematical model of cell turnover, differentiation and tumorigenesis in the intestinal crypt. J Theor Biol 244: 367-374.
38. Winawer SJ (1999) Natural history of colorectal cancer. Am J Med 106: 3S-6S. Discussion 50S-51S.
39. Bielas JH, Loeb KR, Rubin BP, True LD, Loeb LA (2006) Human cancers express a mutator phenotype. Proc Natl Acad Sci U S A 103: 18238-18242.
40. Desai MM, Fisher DS (2007) Beneficial mutation selection balance and the effect of linkage on positive selection. Genetics 176: 1759-1798.
41. Brunet E, Rouzine IM, Wilke CO (2007) The stochastic edge in adaptive evolution. arXiv:0707.3465. Available: http://arxiv.org/abs/0707.3465. Accessed 9 October 2007.
42. Rouzine IM, Brunet E, Wilke CO (2007) The traveling wave approach to asexual evolution: Muller's ratcher and speed of adaptation. arXiv:0707.3469. Available: http://arxiv.org/abs/0707.3469. Accessed 9 October 2007.
43. Rouzine IM, Wakeley J, Coffin JM (2003) The solitary wave of asexual evolution. Proc Natl Acad Sci U S A 100: 587-592.
44. Schafer J, Strimmer K (2005) A shrinkage approach to large-scale covariance matrix estimation and implications for functional genomics. Stat Appl Genet Mol Biol 4: article32.
45. Welin S, Youker J, Spratt JS Jr (1963) The rates and patterns of growth of 375 tumors of the large intestine and rectum observed serially by double contrast enema study (Malmoe Technique). Am J Roentgenol Radium Ther Nucl Med 90: 673-687.