Tumor growth dynamics: Insights into evolutionary processes

Trends in Ecology and Evolution

Volumn 28, Issue 10, 2013, Pages 597-604

  Rodriguez Brenes, Ignacio A ^a   Komarova, Natalia L ^a   Wodarz, Dominik ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CANCER; EVOLUTION; GROWTH; KINETICS; MOLECULAR ANALYSIS; TUMOR;

CARCINOGENESIS; CLASSIFICATION; EVOLUTION; GENETICS; MOLECULAR EVOLUTION; NEOPLASM; POPULATION DYNAMICS; REVIEW;

BIOLOGICAL EVOLUTION; CARCINOGENESIS; EVOLUTION, MOLECULAR; NEOPLASMS; POPULATION DYNAMICS;

EID: 84884354905     PISSN: 01695347     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tree.2013.05.020     Document Type: Review

References (71)

1. Greaves M., Maley C.C. Clonal evolution in cancer. Nature 2012, 481:306-313.
2. Weinberg R.A. The Biology of Cancer 2007, Garland Science.
3. Vogelstein B., Kinzler K. Cancer genes and the pathways they control. Nat. Med. 2004, 10:789-799.
4. Cancer Genome Atlas Network Comprehensive molecular portraits of human breast tumors. Nature 2012, 490:61-70.
5. Moolgavkar S., Knudson A. Mutation and cancer: a model for human carcinogenesis. J. Natl. Cancer Inst. 1981, 66:1037-1052.
6. Meza R., et al. Age-specific incidence of cancer: phases, transitions, and biological implications. Proc. Natl. Acad. Sci. U.S.A. 2008, 105:16284-16289.
7. Frank S.A. Dynamics of Cancer: Incidence, Inheritance, and Evolution 2007, Princeton University Press.
8. Brú A., et al. Super-rough dynamics on tumor growth. Phys. Rev. Lett. 1998, 81:4008-4011.
9. Laird A. Dynamics of tumor growth. Br. J. Cancer 1964, 18:490.
10. Guiot C., et al. Does tumor growth follow a 'universal law'?. J. Theor. Biol. 2003, 225:147-151.
11. Collins V.P., et al. Observations on growth rates of human tumors. Am. J. Roentgenol. Radium Ther. Nucl. Med. 1956, 76:988-1000.
12. Spratt J.S., Spratt T.L. Rates of growth of pulmonary metastases and host survival. Ann. Surg. 1964, 159:161-171.
13. Steel G.G. Growth Kinetics of Tumors: Cell Population Kinetics in Relation to the Growth and Treatment of Cancer 1977, Clarendon Press.
14. Shackney S.E. A computer model for tumor growth and chemotherapy, and its application to l1210 leukemia treated with cytosine arabinoside (nsc-63878). Cancer Chemother. Rep. 1970, 54:399-429.
15. Skipper H.E., et al. Experimental evaluation of potential anticancer agents. XIII. On the criteria and kinetics associated with 'curability' of experimental leukemia. Cancer Chemother. Rep. 1964, 35:1-111.
16. Wilcox W.S. The last surviving cancer cell: the chances of killing it. CA Cancer J. Clin. 1970, 20:164-167.
17. Friberg S., Mattson S. On the growth rates of human malignant tumors: implications for medical decision making. J. Surg. Oncol. 1997, 65:284-297.
18. Simon R., Norton L. The Norton-Simon hypothesis: designing more effective and less toxic chemotherapeutic regimens. Nat. Clin. Pract. Oncol. 2006, 3:406-407.
19. Mayneord W.V. On a law of growth of Jensen's rat sarcoma. Am. J. Cancer 1932, 16:841-846.
20. Schrek R. A quantitative study of the growth of the Walker rat tumor and the Flexner-Jobling rat carcinoma. Am. J. Cancer 1935, 24:807-822.
21. Knighton D., et al. Avascular and vascular phases of tumour growth in the chick embryo. Br. J. Cancer 1977, 35:347.
22. Komarova N., Mironov V. On the role of endothelial progenitor cells in tumor neovascularization. J. Theor. Biol. 2005, 235:338-349.
23. Brú A., et al. The universal dynamics of tumor growth. Biophys. J. 2003, 85:2948-2961.
24. Drasdo D., Höhme S. A single-cell-based model of tumor growth in vitro: monolayers and spheroids. Phys. Biol. 2005, 2:133-147.
25. Freyer J.P., Sutherland R.M. A reduction in the in situ rates of oxygen and glucose consumption of cells in EMT6/RO spheroids during growth. J. Cell. Physiol. 1985, 124:516-524.
26. Freyer J.P., Sutherland R.M. Regulation of growth saturation and development of necrosis in EMT6/RO multicellular spheroids by the glucose and oxygen supply. Cancer Res. 1986, 46:3504-3512.
27. Mandonnet E., et al. Continuous growth of mean tumor diameter in a subset of grade II gliomas. Ann. Neurol. 2003, 53:524-528.
28. Swanson K., et al. Virtual and real brain tumors: using mathematical modeling to quantify glioma growth and invasion. J. Neurol. Sci. 2003, 216:1-10.
29. Robertson T.B. The Chemical Basis of Growth and Senescence 1923, J.B. Lippincott & Co.
30. Choe S., et al. Model for in vivo progression of tumors based on co-evolving cell population and vasculature. Sci. Rep. 2011, 1. Article number 31.
31. Weedon-Fekjaer H., et al. Breast cancer tumor growth estimated through mammography screening data. Breast Cancer Res. 2008, 10:R41.
32. Spratt J.A., et al. Decelerating growth and human breast cancer. Cancer 1993, 71:2013-2019.
33. Spratt J.A., et al. Mammographic assessment of human breast cancer growth and duration. Cancer 1993, 71:2020-2026.
34. Afenaya E.K., Calderón C.P. Diverse ideas on the growth kinetics of disseminated cancer cells. Bull. Math. Biol. 2000, 62:527-542.
35. Norton L. A Gompertzian model of human breast cancer growth. Cancer Res. 1988, 48:7067-7071.
36. Burton A.C. Rate of growth of solid tumors as a problem of diffusion. Growth 1966, 30:157-176.
37. Norton L., Massagué J. Is cancer a disease of self-seeding?. Nat. Med. 2006, 12:875-878.
38. Moebus V., et al. Ten year follow-up analysis of intense dose-dense adjuvant ETC (epirubicin (E), paclitaxel (T) and cyclophosphamide (C)) confirms superior DFS and OS benefit in comparison to conventional dosed chemotherapy in high-risk breast cancer patients with >= 4 positive lymph nodes. Cancer Res. 2012, 72(Suppl. 24):S3-S4.
39. Von B.L. Principles and theory of growth. Fundamental Aspects of Normal and Malignant Growth 1960, 137-259. Elsevier. W.W. Nowmsky (Ed.).
40. West G.B., et al. A general model for ontogenetic growth. Nature 2001, 413:628-631.
41. Skehan P. On the normality of growth dynamics of neoplasms in vivo: a data base analysis. Growth 1986, 50:496-515.
42. Marušić M., et al. Analysis of growth of multicellular tumor spheroids by mathematical models. Cell Prolif. 1994, 27:73-94.
43. Hart D., et al. The growth law of primary breast cancer as inferred from mammography screening trials data. Br. J. Cancer 1998, 78:382-387.
44. Simeoni M., et al. Predictive pharmacokinetic-pharmacodynamic modeling of tumor growth kinetics in xenograft models after administration of anticancer agents. Cancer Res. 2004, 64:1094-1101.
45. Simpson-Herren L., Lloyd H.H. Kinetic parameters and growth curves for experimental tumor systems. Cancer Chemother. Rep. 1970, 54:143-174.
46. Klein G., Revesz L. Quantitative studies on the multiplication of neoplastic cells in vivo. I. growth curves of the Ehrlich and mc1m ascites tumors. J. Natl. Cancer Inst. 1953, 14:229-277.
47. Gatenby R.A., Frieden B.R. Information dynamics in carcinogenesis and tumor growth. Mutat. Res. 2004, 568:259-273.
48. Speer J.F., et al. A stochastic numerical model of breast cancer growth that simulates clinical data. Cancer Res. 1984, 44:4124-4130.
49. Aguirre-Ghisom J.A. Models, mechanisms and clinical evidence for cancer dormancy. Nat. Rev. Cancer 2007, 7:834-846.
50. Squartini F. Strain differences in growth of mouse mammary tumors. J. Natl. Cancer Inst. 1961, 26:813-828.
51. Retsky M., et al. Is Gompertzian or exponential kinetics a valid description of individual human cancer growth. Med. Hypotheses 1990, 33:95-106.
52. Spencer S.L., et al. An ordinary differential equation model for the multistep transformation to cancer. J. Theor. Biol. 2004, 231:515-524.
53. Ashkenazi R., et al. Pathways to tumorigenesis: modeling mutation acquisition in stem cells and their progeny. Neoplasia 2008, 10:1170-1182.
54. Spencer S.L., et al. Modeling somatic evolution in tumorigenesis. PLoS Comput. Biol. 2006, 2:e108.
55. Dingli D., et al. Compartmental architecture and dynamics of hematopoiesis. PLoS ONE 2007, 2:e345.
56. Glauche I., et al. A novel view on stem cell development: analyzing the shape of cellular genealogies. Cell Prolif. 2009, 42:248-263.
57. McPherron A.C., et al. Regulation of skeletal muscle mass in mice by a new TGF-beta superfamily member. Nature 1997, 387:83-90.
58. Lander A.D., et al. Cell lineages and the logic of proliferative control. PLoS Biol. 2009, 7:e15.
59. Johnston M.D., et al. Mathematical modeling of cell population dynamics in the colonic crypt and in colorectal cancer. Proc. Natl. Acad. Sci. U.S.A. 2007, 104:4008-4013.
60. Marciniak-Czochra A., et al. Modeling of asymmetric cell division in hematopoietic stem cells - regulation of self-renewal is essential for efficient repopulation. Stem Cells Dev. 2009, 18:377-385.
61. Bullough W.S. Mitotic and functional homeostasis: a speculative review. Cancer Res. 1965, 25:1683-1727.
62. Bell G. Models of carcinogenesis as an escape from mitotic inhibitors. Science 1976, 192:569-572.
63. Adam J., Maggelakis S. Mathematical models of tumor growth. 4. Effects of a necrotic core. Math. Biosci. 1989, 97:121-136.
64. Stiehl T., Marciniak-Czochra A. Mathematical modeling of leukemogenesis and cancer stem cell dynamics. Math. Model. Nat. Phenom. 2012, 7:166-202.
65. Rodriguez-Brenes I.A., et al. Evolutionary dynamics of feedback escape and the development of stem-cell-driven cancers. Proc. Natl. Acad. Sci. U.S.A. 2011, 108:18983-18988.
66. Massagué J. TGF beta in cancer. Cell 2008, 134:215-230.
67. Lee J., et al. Epigenetic-mediated dysfunction of the bone morphogenetic protein pathway inhibits differentiation of glioblastoma-initiating cells. Cancer Cell 2008, 13:69-80.
68. Maienschein J., et al. How can history of science matter to scientists?. Isis 2008, 99:341-349.
69. Anderson A.R., Chaplain M.A. Continuous and discrete mathematical models of tumor-induced angiogenesis. Bull. Math. Biol. 1998, 60:857-899.
70. Anderson A.R., et al. A hybrid discrete-continuum model of tumour induced angiogenesis. Modeling Tumor Vasculature 2012, 105-133. Springer.
71. Reuss R., et al. Intracellular delivery of carbohydrates into mammalian cells through swelling-activated pathways. J. Membr. Biol. 2004, 200:67-81.