Stochastic dynamics of cancer initiation

Physical Biology

Volumn 8, Issue 1, 2011, Pages

  Foo, Jasmine ^a   Leder, Kevin ^a   Michor, Franziska ^b  

^a DANA FARBER CANCER INSTITUTE   (United States)

^b HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; COLORECTAL TUMOR; GENE EXPRESSION REGULATION; GENETICS; HUMAN; MUTATION; NEOPLASM; STATISTICS;

COLORECTAL NEOPLASMS; GENE EXPRESSION REGULATION, NEOPLASTIC; HUMANS; MODELS, GENETIC; MUTATION; NEOPLASMS; STOCHASTIC PROCESSES;

EID: 79951894811     PISSN: 14783967     EISSN: 14783975     Source Type: Journal    
DOI: 10.1088/1478-3975/8/1/015002     Document Type: Article

References (69)

1. Mintz B 1971 Clonal basis of mammalian differentiation Symp. Soc. Exp. Biol. 25 345-70
2. Mintz B 1977 Malignancy versus normal differentiation of stem cells as analyzed in genetically mosaic animals Adv. Pathobiol. 6 153-7
3. Kovacs L and Potten C S 1973 An estimation of proliferative population size in stomach, jejenum and colon of dba-2 mice Cell Tissue Kinet. 6 125-34
4. Bach S P, Renehan A G and Potten C S 2000 Stem cells: (Pubitemid 30137932)
5. Jacobson M D, Weil M and Raff M C 1997 Programmed cell death in animal development Cell 88 347-54 (Pubitemid 27131376)
6. Kimura M 1968 Evolutionary rate at the molecular level Nature 217 624-6
7. Hanahan D and Weinberg R A 2000 The hallmarks of cancer Cell 100 57-70 (Pubitemid 30046295)
8. Levine A J 1993 The tumor suppressor genes Annu. Rev. Biochem. 62 623-51 (Pubitemid 23237883)
9. Mitelman F, Johansson B and Mertens F 1994 Catalog of Chromosome Aberrations in Cancer (New York: Wiley-Liss)
10. Kinzler K W and Vogelstein B 1997 Gatekeepers and caretakers Nature 386 761-3 (Pubitemid 27181234)
11. Kinzler K W and Vogelstein B 1998 The Genetic Basis of Human Cancer (Toronto: McGraw-Hill)
12. Lengauer C, Kinzler K W and Vogelstein B 1998 Genetic instabilities in human cancers Nature 396 643-9 (Pubitemid 29003936)
13. Knudson A G 2001 Two genetic hits to cancer Nat. Rev. Cancer 1 156-62
14. Hahn W C and Weinberg R A 2002 Rules for making human tumor cells New Eng. J. Med. 347 1593-603 (Pubitemid 35315841)
15. Vogelstein B and Kinzler K 2002 The Genetic Basis of Human Cancer (New York: McGraw-Hill)
16. Jones P A and Baylin S B 2002 The fundamental role of epigenetic events in cancer Nat. Rev. Genet. 3 415-28 (Pubitemid 34587077)
17. Herman J G et al 1994 Silencing of the vhl tumor-suppressor gene by DNA methylation in renal carcinoma Proc. Natl Acad. Sci. USA 91 9700-4 (Pubitemid 24311875)
18. Esteller M et al 2000 Promoter hypermethylation and brca1 inactivation in sporadic breast and ovarian tumors J. Natl Cancer Inst. 92 564-9 (Pubitemid 30212318)
19. Esteller M et al 2000 Epigenetic inactivation of lkb1 in primary tumors associated with the Peutz-Jeghers syndrome Oncogene 19 164-8 (Pubitemid 30066364)
20. Coulondre C, Miller J H, Farabaugh PlJ and Gilbert W 1978 Molecular basis of base substitution hotspots in EEscherichia coli, Nature 274 775-80 (Pubitemid 8406156)
21. Pfeifer G P, Tang M and Denissenko M F 2000 Mutation hotspots and DNA methylation Curr. Top. Microbiol. Immunol. 249 1-19 (Pubitemid 30133490)
22. Iwasa Y, Michor F, Komarova N and Nowak M 2005 Population genetics of tumor suppressor genes J. Theor. Biol. 233 15-23 (Pubitemid 40029624)
23. Michor F, Iwasa Y and Nowak M A 2004 Dynamics of cancer progression Nat. Rev. Cancer 4 197-206
24. Komarova N L and Wodarz W 2005 Computational Biology of Cancer (Singapore: World Scientific)
25. Komarova N L, Sengupta A and Nowak M A 2003 Mutation-selection networks of cancer initiation: Tumor suppressor genes and chromosome instability J. Theor. Biol. 223 433-50 (Pubitemid 36880758)
26. Schweinsberg J 2008 Waiting for n mutations Electron. J. Probab. 13 1442-78
27. Durrett R, Schmidt D and Schweinsberg J 2009 A waiting time problem arising from the study of multi-stage carcinogenesis Ann. Appl. Probab. 19 676-718
28. Moran P A P 1962 The Statistical Processes of Evolutionary Theory (Oxford: Clarendon)
29. Charles D and Luce-Clausen E 1942 The kinetics of papilloma formation in benzpyrene-treated mice Cancer Res. 2 261-3
30. Fisher J C and Hollomon J H 1951 A hypothesis for the origin of cancer foci Cancer 4 916-8
31. Nordling C O 1953 A new theory on cancer-inducing mechanism Br. J. Cancer 7 68-72
32. Armitage P and Doll R 1957 A two-stage theory of carcinogenesis in relation to the age distribution of human cancer Br. J. Cancer 11 161-9
33. Fisher J C 1958 Multiple-mutation theory of carcinogenesis Nature 181 651-2
34. Ashley D J 1969 Colonic cancer arising in polyposis coli J. Med. Genet. 6 376-8
35. Knudson A G 1971 Mutation and cancer: Statistical study of retinoblastoma Proc. Natl Acad. Sci. USA 68 820-3
36. Bodmer W and Tomlinson I 1995 Failure of programmed cell death and differentiation as causes of tumors: Some simple mathematical models Proc. Natl Acad. Sci. USA 92 11130-4
37. Tomlinson I P, Novelli M R and Bodmer W F 1996 The mutation rate and cancer Proc. Natl Acad. Sci. USA 93 14800-3 (Pubitemid 26419049)
38. Maley C C and Forrest S 2001 Exploring the relationship between neutral and selective mutations in cancer Artif. Life 6 325-45
39. Nunney L 2003 The population genetics of multistage carcinogenesis Proc. Biol. Soc. 270 1183-91 (Pubitemid 36683464)
40. Frank S A 2004 Genetic predisposition to cancer-insights from population genetics Nat. Rev. Genet. 5 764-72 (Pubitemid 39336360)
41. Frank S A 2005 Age-specific incidence of inherited versus sporadic cancers: A test of the multistage theory of carcinogenesis Proc. Natl Acad. Sci. USA 102 1071-5 (Pubitemid 40170727)
42. Michor F, Iwasa Y and Nowak M A 2006 The age incidence of chronic myeloid leukemia can be explained by a one-mutation model Proc. Natl Acad. Sci. USA 103 14931-4 (Pubitemid 44527831)
43. Michor F, Nowak M A and Iwasa Y 2006 Stochastic dynamics of metastasis formation J. Theor. Biol. 240 521-30 (Pubitemid 43765941)
44. Michor F and Iwasa Y 2006 Dynamics of metastasis suppressor gene inactivation J. Theor. Biol. 241 676-89 (Pubitemid 44038750)
45. Beerenwinkel N et al 2007 Genetic progression and the waiting time to cancer PLoS Comput. Biol. 3 e225
46. D'Onofrio A and Tomlinson I P 2007 A nonlinear mathematical model of cell turnover, differentiation, and tumorigenesis in the intestinal crypt J. Theor. Biol. 244 367-74 (Pubitemid 46039822)
47. Johnston M D, Edwards C M, Bodmer W F, Maini P K and Chapman S J 2007 Mathematical modeling of cell population dynamics in the colonic crypt and in colorectal cancer Proc. Natl Acad. Sci. USA 104 4008-13 (Pubitemid 47181569)
48. Wodarz D and Komarova N L 2007 Can loss of apoptosis protect against cancer? Trends Genet. 23 232-7 (Pubitemid 46628982)
49. Jones S et al 2008 Comparative lesion sequencing provides insights into tumor evolution Proc. Natl Acad. Sci. USA 105 4283-8 (Pubitemid 351754372)
50. Haeno H, Levine R L, Gilliland D G and Michor F 2009 The cell of origin of hematopoietic malignancies Proc. Natl Acad. Sci. USA 106 16616-21
51. Durrett R, Foo J, Leder K, Mayberry J and Michor F 2010 Evolutionary dynamics of tumor progression with random fitness values Theor. Popul. Biol. 78 54-66
52. Wodarz D and Komarova N 2005 Computational Biology of Cancer (Singapore: World Scientific)
53. Reya T, Morrison S, Clarke M and Weissman I 2001 Stem cells, cancer, and cancer stem cells Nature 414 105-11 (Pubitemid 33041634)
54. Huntly B J P et al 2004 Moz-tif2, but not bcr-abl, confers properties of leukemic stem cells to committed murine hematopoietic progenitors Cancer Cell 6 587-696
55. Iwasa Y, Michor F and Nowak M 2004 Stochastic tunnels in evolutionary dynamics Genetics 166 1571-9 (Pubitemid 38507070)
56. Crow J F and Kimura M 1970 An Introduction to Population Genetics Theory (New York: Harper and Row)
57. Arias E 2007 United States life tables, 2004 National Vital Statistics Reports 56
58. Lin X S and Liu X 2007 Markov aging process and phase-type law of mortality North Am. Actuarial J. 11 92-109
59. Fearon E R and Vogelstein B 1990 A genetic model for colorectal tumorigenesis Cell 61 759-67
60. Frank S A and Nowak M 2004 Problems of somatic mutation and cancer Bioessays 26 291-9 (Pubitemid 38325670)
61. Yatabe Y, Tavare S and Shibata D 2001 Investigating stem cells in human colon by using methylation patterns Proc. Natl Acad. Sci. USA 98 10839-44 (Pubitemid 32884117)
62. Lipkin M, Sherlock P J and Bell B 1962 Generation time of epithelial cells in the human colon Nature 195 175-77
63. Lieberman D 1991 Cost effectiveness of colon cancer screening Am. J. Gastroenterol. 33 1789
64. Jass J R and Stewart S M 1992 Evolution of hereditary non-polyposis colorectal cancer Gut 33 783
65. Ransohoff D and Lang C 1991 Stem cells, cancer, and cancer stem cells N. Engl. J. Med. 325 37
66. Nicolas P, Kim K-M, Shibata D and Tavare S 2007 The stem cell population of the human colon crypt: Analysis via methylation patterns PLoS Comput. Biol. 3 e28
67. Kim K-M and Shibata D 2002 Methylation reveals a niche: Stem cell succession in human colon crypts Oncogene 21 5441-9 (Pubitemid 34983480)
68. Kunkel T A and Bebenek K 2000 Dna replication fidelity Annu. Rev. Biochem. 69 487-529
69. Durrett R 2008 Probability Models for DNA Sequence Evolution (Berlin: Springer)