Evolutionary dynamics of the Warburg effect: Glycolysis as a collective action problem among cancer cells

Journal of Theoretical Biology

Volumn 341, Issue , 2014, Pages 1-8

  Archetti, Marco ^a  

^a UNIVERSITY OF EAST ANGLIA   (United Kingdom)

Author keywords

Cooperation; Evolution; Game theory; Public good; Tumor

Indexed keywords

GLUCOSE; OXYGEN;

ACIDITY; CANCER; CLONE; CONCENTRATION (COMPOSITION); GAME THEORY; OXYGEN; TUMOR;

ANTIGEN MEDIATED CLONAL SELECTION; ARTICLE; BLOOD PH; CANCER CELL; CANCER THERAPY; ENERGY COST; ENERGY TRANSFER; GLYCOLYSIS; LYMPHOCYTE FUNCTION; MOLECULAR DYNAMICS; NONLINEAR SYSTEM; OXYGEN CONCENTRATION; OXYGEN SUPPLY; PRIORITY JOURNAL; WARBURG EFFECT;

COOPERATION; EVOLUTION; GAME THEORY; PUBLIC GOOD; TUMOR;

ACID-BASE EQUILIBRIUM; AEROBIOSIS; CELL COMMUNICATION; CELL PROLIFERATION; EVOLUTION, MOLECULAR; GAME THEORY; GLYCOLYSIS; HUMANS; MODELS, BIOLOGICAL; NEOPLASM INVASIVENESS; NEOPLASMS;

EID: 84885929026     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2013.09.017     Document Type: Article

References (64)

1. Archetti M. The volunteer's dilemma and the optimal size of a social group. Journal of Theoretical Biology 2009, 261:475-480.
2. Archetti M. Cooperation as a volunteer's dilemma and the strategy of conflict in public goods games. Journal of Evolutionary Biology 2009, 22:2192-2200.
3. Archetti M. Evolutionary game theory of growth factor production: implications for tumor heterogeneity and resistance to therapies. British Journal of Cancer 2013, 109:1056-1062.
4. Archetti M., Scheuring I. Coexistence of cooperation and defection in public goods games. Evolution 2011, 65:1140-1148.
5. Archetti M., Scheuring I. Review: Evolution of cooperation in one-shot social dilemmas without assortment. Journal of Theoretical Biology 2012, 299:9-20.
6. Basanta D., Scott J.G., Rockne R., et al. The role of IDH1 mutated tumour cells in secondary glioblastomas: an evolutionary game theoretical view. Physical Biology 2011, 8:015016.
7. Basanta D., Simon M., Hatzikirou H., Deutsch A. Evolutionary game theory elucidates the role of glycolysis in glioma progression and invasion. Cell Proliferation 2008, 41:980-987.
8. Beckner M.E., et al. Glycolytic glioma cells with active glycogen synthase are sensitive to PTEN and inhibitors of P13K and gluconeogenesis. Laboratory Investigation 2005, 85:1457-1470.
9. Bergers G., Hanahan D. Modes of resistance to anti-angiogenic therapy. Nature Reviews Cancer 2008, 8:592-603.
10. Bernstein S. Démonstration du théorème de Weierstrass fondée sur le calcul des probabilities. Communications of the Kharkov Mathematical Society 1912, 13:1-2.
11. Bhujwalla Z.M., et al. Combined vascular and extracellular pH imaging of solid tumors. NMR in Biomedicine 2002, 15:114-119.
12. Buchler P., et al. Hypoxia-inducible factor 1 regulates vascular endothelial growth factor expression in human pancreatic cancer. Pancreas 2003, 26:56-64.
13. Cairns J. Mutation selection and the natural history of cancer. Nature 1975, 255:197-200.
14. Casciari J.J., Sotirchos S.V., Sutherland R.M. Variations in tumor growth rates and metabolism with oxygen concentration, glucose concentration, and extracellular pH. Journal of Cellular Physiology 1992, 151:386-394.
15. Crespi B., Summers K. Evolutionary biology of cancer. Trends in Ecology & Evolution 2005, 20:545-552.
16. Dairkee S.H., Deng S.H., Stampfer M.R., Waldman R.M., Smith H.S. Selective cell culture of primary breast cancer. Cancer Research 1995, 55:2516-2519.
17. Dewhirst M.W., Secomb T.W., Ong E.T., Hsu R., Gross J.F. Determination of local oxygen consumption rates in tumors. Cancer Research 1994, 54:3333-3336.
18. Gambhir S.S. Molecular imaging of cancer with positron emission tomorgraphy. Nature Reviews Cancer 2002, 2:891-899.
19. Gatenby R., Gillies R.J. Why do cancers have high aerobic glycolysis?. Nature Reviews Cancer 2004, 4:891-899.
20. Gatenby R., Gillies R.J. Glycolysis in cancer: a potential target for therapy. International Journal of Biochemistry & Cell Biology 2007, 39:1358-1366.
21. Gatenby R.A., Gawlinski E.T. A reaction-diffusion model of cancer invasion. Cancer Research 1996, 56:5745-5753.
22. Gatenby R.A., Gawlinski E.T. The glycolytic phenotype in carcinogenesis and tumor invasion: insights through mathematical models. Cancer Research 2003, 63:3847-3854.
23. Greaves M., Maley C.C. Clonal evolution in cancer. Nature 2012, 481:306-313.
24. + transport in the interstitial fluid. Novartis Foundation Symposium 2001, 240:46-62.
25. Griguer C.E., et al. Glucose metabolism heterogeneity in human and mouse malignant glioma cell lines. Journal of Neuro-Oncology 2005, 74:123-133.
26. Hauert C., Michod F., Nowak M.A., Doebeli M. Synergy and discounting of cooperation in social dilemmas. Journal of Theoretical Biology 2006, 239:195-202.
27. He X., et al. Hypoxia increases heparanase-dependent tumor cell invasion, which can be inhibited by antiheparanase antibodies. Cancer Research 2004, 64:3928-3933.
28. Helmlinger G., Yuan F., Dellian M., Jain R.K. Interstitial pH and pO gradients in solid tumors in vivo: high-resolution 2 measurements reveal a lack of correlation. Nature Medicine 1997, 3:177-182.
29. Hofbauer J., Sigmund K. Evolutionary Games and Population Dynamics 1998, Cambridge University Press, Cambridge, UK.
30. Holash J., Maisonpierre P.C., Compton D., Boland P., Alexander C.R., Zagzag D., Yancopoulos G.D., Wiegand S.J. Vessel co-option, regression, and growth in tumors mediated by angiopoietins and VEGF. Science 1999, 284:1994-1998.
31. Ibrahim Hashim A., Cornnell H.H., Abrahams D., Lloyd M., Bui M., Gillies R.J., Gatenby R.A. Systemic buffers inhibit carcinogenesis in TRAMP mice. Journal of Urology 2012, 188:624-631.
32. Ibrahim Hashim A., Cornnell H.H., Coelho Ribeiro Mde L., Abrahams D., Cunningham J., Lloyd M., Martinez G.V., Gatenby R.A., Gillies R.J. Reduction of metastasis using a non-volatile buffer. Clinical and Experimental Metastasis 2011, 28:841-849.
33. Kelloff G.J., et al. Progress and promise of FDG-PET imaging for cancer patient management and oncologic drug development. Clinical Cancer Research 2005, 11:2785-2808.
34. Krogh A. The number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary for supplying the tissue. Journal of Physiology 1919, 52:409-415.
35. Krtolica A., Ludlow J.W. Hypoxia arrests ovarian carcinoma cell cycle progression, but invasion is unaffected. Cancer Research 1996, 56:1168-1173.
36. Kunkel M., et al. Overexpression of Glut-1 and increased glucose metabolism in tumors are associated with a poor prognosis in patients with oral squamous cell carcinoma. Cancer 2003, 97:1015-1024.
37. Lardner A. The effects of extracellular pH on immune function. Journal of Leukocyte Biology 2001, 69:522-530.
38. Lorentz G.G. Bernstein Polynomials 1953, University of Toronto Press, Toronto, Canada.
39. Martin N.K., Gaffney E.A., Gatenby R.A., Gillies R.J., Robey I.F., Maini P.K. A mathematical model of tumour and blood pHe regulation: The HCO3-/CO2 buffering system. Mathematical Biosciences 2011, 230:1-11.
40. Martin N.K., Robey I.F., Gaffney E.A., Gillies R.J., Gatenby R.A., Maini P.K. Predicting the safety and efficacy of buffer therapy to raise tumour pHe: an integrative modelling study. British Journal of Cancer 2012, 106:1280-1287.
41. Merlo L.M.F., Pepper J.W., Reid B.J., Maley C.C. Cancer as an evolutionary and ecological process. Nature Reviews Cancer 2006, 6:924-935.
42. Mochiki E., et al. Evaluation of 18F-2-deoxy-2-fluoro-d-glucose positron emission tomography for gastric cancer. World Journal of Surgery 2004, 28:247-253.
43. Motro U. Co-operation and defection: playing the field and ESS. Journal of Theoretical Biology 1991, 151:145-154.
44. Nowell P.C. The clonal evolution of tumor cell populations. Science 1976, 194:23-28.
45. Park H.J., Lyons J.C., Ohtsubo T., Song C.W. Acidic environment causes apoptosis by increasing caspase activity. British Journal of Cancer 1999, 80:1892-1897.
46. Patel A.A., Gawlinski E.T., Lemieux S.K., Gatenby R.A. A cellular automaton model of early tumor growth and invasion: the effects of native tissue vascularity and increased anaerobic tumor metabolism. Journal of Theoretical Biology 2001, 213:315-331.
47. Pauwels E.K., Sturm E.J., Bombardieri E., Cleton F.J., Stokkel M.P. Positron-emission tomography with [18F]fluorodeoxyglucose. Part I. Biochemical uptake mechanism and its implication for clinical studies. Journal of Cancer Research and Clinical Oncology 2000, 126:549-559.
48. Phillips G.M. Interpolation and Approximation by Polynomials 2003, Springer, New York, USA, (Chapter 7).
49. Postovit L.M., Adams M.A., Lash G.E., Heaton J.P., Graham C.H. Nitric oxide-mediated regulation of hypoxia- induced B16F10 melanoma metastasis. International Journal of Cancer 2004, 108:47-53.
50. Postovit L.M., Adams M.A., Lash G.E., Heaton J.P., Graham C.H. Oxygen-mediated regulation of tumor cell invasiveness. Involvement of a nitric oxide signaling pathway. Journal of Biological Chemistry 2002, 277:35730-35737.
51. Rajendran J.G., et al. [(18)F]FMISO and [(18)F]FDG PET imaging in soft tissue sarcomas: correlation of hypoxia, metabolism and VEGF expression. European Journal of Nuclear Medicine and Molecular Imaging 2003, 30:695-704.
52. Robey I.F., Baggett B.K., Kirkpatrick N.D., Roe D.J., Dosescu J., Sloane B.F., Hashim A.I., Morse D.L., Raghunand N., Gatenby R.A., Gillies R.J. Bicarbonate increases tumor pH and inhibits spontaneous metastases. Cancer Research 2009, 69:2260-2268.
53. Rohzin J., Sameni M., Ziegler G., Sloane B.F. Pericellular pH affects distribution and secretion of cathepsin B in malignant cells. Cancer Research 1994, 54:6517-6525.
54. Rubin H.J. pH and population density in the regulation of animal cell multiplication. Journal of Cell Biology 1971, 51:686-702.
55. + diffusion to the acidic pH of tumors. Neoplasia 2003, 5:135-145.
56. Shi Q., Le X., Wang B., Abbruzzese J.L., Xiong Q., He Y., Xie K. Regulation of vascular endothelial growth factor expression by acidosis in human cancer cells. Oncogene 2001, 20:3751-3756.
57. Silva A.S., Gatenby R.A., Gillies R.J., Yunes J.A. A quantitative theoretical model for the development of malignancy in ductal carcinoma in situ. Journal of Theoretical Biology 2010, 262:601-613.
58. Smallbone K., Gatenby R.A., Gillies R.J., Maini P.K., Gavaghan D.J. Metabolic changes during carcinogenesis: potential impact on invasiveness. Journal of Theoretical Biology 2007, 244:703-713.
59. Smallbone K., Gavaghan D.J., Gatenby R.A., Maini P.K. The role of acidity in solid tumour growth and invasion. Journal of Theoretical Biology 2005, 235:476-484.
60. Smallbone K., Maini P.K., Gatenby R.A. Episodic, transient systemic acidosis delays evolution of the malignant phenotype: Possible mechanism for cancer prevention by increased physical activity. Biology Direct 2010, 5:22.
61. Thomlinson R.H., Gray L.H. The histological structure of some human lung cancers and the possible implications for radiotherapy. British Journal of Cancer 1955, 9:539-549.
62. Warburg O. Ueber den Stoffwechsel der Tumoren 1930, Constable, London.
63. Williams A.C., Collard T.J., Paraskeva C. An acidic environment leads to p53 dependent induction of apoptosis in human adenoma and carcinoma cell lines: implications for clonal selection during colorectal carcinogenesis. Oncogene 1999, 18:3199-3204.
64. Wojtkowiak J.W., Rothberg J.M., Kumar V., Schramm K.J., Haller E., Proemsey J.B., Lloyd M.C., Sloane B.F., Gillies R.J. Chronic autophagy is a cellular adaptation to tumor acidic pH microenvironments. Cancer Research 2012, 72:3938-3947.