A Possible Explanation for the Variable Frequencies of Cancer Stem Cells in Tumors

PLoS ONE

Volumn 8, Issue 8, 2013, Pages

  dos Santos, Renato Vieira ^a   da Silva, Linaena Méricy ^a  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL CELL; ANIMAL EXPERIMENT; ARTICLE; CALCULATION; CANCER STEM CELL; CELL HETEROGENEITY; CELL PLASTICITY; CELL POPULATION; CELL PROLIFERATION; CELLULAR PARAMETERS; CONTROLLED STUDY; FREQUENCY ANALYSIS; LINEAR SYSTEM; MATHEMATICAL ANALYSIS; MOUSE; NEOPLASM; NOISE; NONHUMAN; STEM CELL NICHE; STOCHASTIC MODEL;

ALGORITHMS; CELL COUNT; CELL DIFFERENTIATION; CELL PROLIFERATION; HUMANS; MODELS, BIOLOGICAL; NEOPLASMS; NEOPLASTIC STEM CELLS; STOCHASTIC PROCESSES;

EID: 84881331495     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0069131     Document Type: Article

References (72)

1. Reya T, Morrison SJ, Clarke MF, Weissman IL, (2001) Stem cells, cancer, and cancer stem cells. Nature 414: 105-111.
2. Clarke MF, Fuller M, (2006) Stem cells and cancer: Two faces of eve. Cell 124: 1111-1115.
3. Vermeulen L, Sprick MR, Kemper K, Stassi G, Medema JP (2008) Cancer stem cells - old concepts, new insights. Cell Death and Differentiation aop.
4. Dalerba P, Cho RW, Clarke MF, (2007) Cancer stem cells: models and concepts. Annual review of medicine 58: 267-284.
5. Bomken S, Fišer K, Heidenreich O, Vormoor J, (2010) Understanding the cancer stem cell. British journal of cancer 103: 439-445.
6. Lewis M, (2008) Faith, heresy and the cancer stem cell hypothesis. Future oncology (London, England) 4: 585.
7. Hill RP (2006) Identifying cancer stem cells in solid tumors: case not proven. Cancer Research 66: 1891-1895; discussion 1890.
8. Welte Y, Adjaye J, Lehrach HR, Regenbrecht CR, (2010) Cancer stem cells in solid tumors: elusive or illusive? Cell Commun Signal 8: 6.
9. Denison TA, Bae YH (2012) Tumor heterogeneity and its implication for drug delivery. Journal of Controlled Release.
10. Tian T, Olson S, Whitacre J, Harding A, (2011) The origins of cancer robustness and evolvability. Integr Biol 3: 17-30.
11. Shackleton M, Quintana E, Fearon E, Morrison S, (2009) Heterogeneity in cancer: cancer stem cells versus clonal evolution. Cell 138: 822-829.
12. Marusyk A, Polyak K, (2010) Tumor heterogeneity: causes and consequences. Biochimica et Biophysica Acta (BBA)-Reviews on Cancer 1805: 105-117.
13. Marusyk A, Almendro V, Polyak K (2012) Intra-tumour heterogeneity: a looking glass for cancer? Nature Reviews Cancer.
14. Rapp UR, Ceteci F, Schreck R, (2008) Oncogene-induced plasticity and cancer stem cells. Cell Cycle 7: 45.
15. Grunewald T, Herbst S, Heinze J, Burdach S, (2011) Understanding tumor heterogeneity as functional compartments-superorganisms revisited. Journal of translational medicine 9: 79.
16. Lander A, Kimble J, Clevers H, Fuchs E, Montarras D, et al. (2012) What does the concept of the stem cell niche really mean today? BMC biology 10: 19.
17. Iwasaki H, Suda T, (2009) Cancer stem cells and their niche. Cancer science 100: 1166-1172.
18. Ishizawa K, Rasheed Z, Karisch R, Wang Q, Kowalski J, et al. (2010) Tumor-initiating cells are rare in many human tumors. Cell stem cell 7: 279-282.
19. Stewart J, Shaw P, Gedye C, Bernardini M, Neel B, et al. (2011) Phenotypic heterogeneity and instability of human ovarian tumor-initiating cells. Proceedings of the National Academy of Sciences 108: 6468.
20. Vargaftig J, Taussig D, Griessinger E, Anjos-Afonso F, Lister T, et al. (2011) Frequency of leukemic initiating cells does not depend on the xenotransplantation model used. Leukemia.
21. Sarry J, Murphy K, Perry R, Sanchez P, Secreto A, et al. (2011) Human acute myelogenous leukemia stem cells are rare and heterogeneous when assayed in nod/scid/il2rãc-deficient mice. The Journal of Clinical Investigation 121: 384.
22. Zhong Y, Guan K, Zhou C, Ma W, Wang D, et al. (2010) Cancer stem cells sustaining the growth of mouse melanoma are not rare. Cancer letters 292: 17-23.
23. Baker M, (2008) Melanoma in mice casts doubt on scarcity of cancer stem cells. Nature 456: 553.
24. Johnston M, Maini P, Jonathan Chapman S, Edwards C, Bodmer W, (2010) On the proportion of cancer stem cells in a tumour. Journal of theoretical biology 266: 708-711.
25. Baker M (2008) Cancer stem cells, becoming common. Nature Reports Stem Cells.
26. Schatton T, Murphy G, Frank N, Yamaura K, Waaga-Gasser A, et al. (2008) Identification of cells initiating human melanomas. Nature 451: 345-349.
27. Quintana E, Shackleton M, Sabel M, Fullen D, Johnson T, et al. (2008) Efficient tumour formation by single human melanoma cells. Nature 456: 593-598.
28. Kelly P, Dakic A, Adams J, Nutt S, Strasser A, (2007) Tumor growth need not be driven by rare cancer stem cells. Science 317: 337.
29. Williams R, Den Besten W, Sherr C, (2007) Cytokine-dependent imatinib resistance in mouse bcr-abl+, arf-null lymphoblastic leukemia. Genes & development 21: 2283.
30. Boiko A, Razorenova O, van de Rijn M, Swetter S, Johnson D, et al. (2010) Human melanomainitiating cells express neural crest nerve growth factor receptor cd271. Nature 466: 133-137.
31. Gupta P, Chaffer C, Weinberg R, (2009) Cancer stem cells: mirage or reality? Nature medicine 15: 1010-1012.
32. Zapperi S, La Porta CAM (2012) Do cancer cells undergo phenotypic switching? the case for imperfect cancer stem cells markers. Scientific reports.
33. Chaffer C, Brueckmann I, Scheel C, Kaestli A, Wiggins P, et al. (2011) Normal and neoplastic nonstem cells can spontaneously convert to a stem-like state. Proceedings of the National Academy of Sciences 108: 7950.
34. Strauss R, Hamerlik P, Lieber A, Bartek J (2012) Regulation of stem cell plasticity: Mechanisms and relevance to tissue biology and cancer. Molecular Therapy.
35. Morrison S, Kimble J, (2006) Asymmetric and symmetric stem-cell divisions in development and cancer. Nature 441: 1068-1074.
36. Leder K, Holland E, Michor F, (2010) The therapeutic implications of plasticity of the cancer stem cell phenotype. PloS one 5: e14366.
37. Turner C, Stinchcombe AR, Kohandel M, Singh S, Sivaloganathan S, (2009) Characterization of brain cancer stem cells: a mathematical approach. Cell Prolif 42: 529-40.
38. Laird AK, (1964) Dynamics of tumour growth. British journal of cancer 18: 490.
39. Choe SC, Zhao G, Zhao Z, Rosenblatt JD, Cho HM, et al. (2011) Model for in vivo progression of tumors based on co-evolving cell population and vasculature. Scientific reports 1.
40. Gliozzi AS, Guiot C, Delsanto PP, (2009) A new computational tool for the phenomenological analysis of multipassage tumor growth curves. PloS one 4: e5358.
41. Herman AB, Savage VM, West GB, (2011) A quantitative theory of solid tumor growth, metabolic rate and vascularization. PloS one 6: e22973.
42. Vaidya VG, Alexandro FJ Jr, (1982) Evaluation of some mathematical models for tumor growth. International Journal of Bio-Medical Computing 13: 19-35.
43. Weedon-Fekjær H, Lindqvist BH, Vatten LJ, Aalen OO, Tretli S, et al. (2008) Breast cancer tumor growth estimated through mammography screening data. Breast Cancer Res 10: R41.
44. Guiot C, Delsanto PP, Carpinteri A, Pugno N, Mansury Y, et al. (2006) The dynamic evolution of the power exponent in a universal growth model of tumors. Journal of theoretical biology 240: 459-463.
45. Guiot C, Degiorgis PG, Delsanto PP, Gabriele P, Deisboeck TS, (2003) Does tumor growth follow a universal law? Journal of theoretical biology 225: 147-151.
46. Castorina P, Zappalà D, (2006) Tumor gompertzian growth by cellular energetic balance. Physica A: Statistical Mechanics and its Applications 365: 473-480.
47. Von Bertalanffy L, (1957) Quantitative laws in metabolism and growth. The quarterly review of biology 32: 217-231.
48. Perko L (2000) Differential Equations and Dynamical Systems. Texts in Applied Mathematics. Springer.
49. Hirsch M, Smale S, Devaney R (2004) Differential Equations, Dynamical Systems, and an Introduction to Chaos. Pure and Applied Mathematics. Academic Press.
50. Tomasetti C, Levy D, (2010) Role of symmetric and asymmetric division of stem cells in developing drug resistance. Proceedings of the National Academy of Sciences 107: 16766-16771.
51. Berglund N, Gentz B (2006) Noise-induced phenomena in slow-fast dynamical systems: a samplepaths approach. Probability and its applications. Springer.
52. Gardiner C (2009) Stochastic methods: a handbook for the natural and social sciences. Springer series in synergetics. Springer.
53. Burness M, Sipkins D (2010) The stem cell niche in health and malignancy. In: Seminars in cancer biology. Elsevier, volume 20, 107-115.
54. Whiteside T, (2008) The tumor microenvironment and its role in promoting tumor growth. Oncogene 27: 5904-5912.
55. Maffini M, Soto A, Calabro J, Ucci A, Sonnenschein C, (2004) The stroma as a crucial target in rat mammary gland carcinogenesis. Journal of cell science 117: 1495-1502.
56. Gammaitoni L, Hänggi P, Jung P, Marchesoni F, (1998) Stochastic resonance. Reviews of Modern Physics 70: 223.
57. Van den Broeck C, Parrondo J, Toral R, Kawai R, (1997) Nonequilibrium phase transitions induced by multiplicative noise. Physical Review E 55: 4084.
58. Ridolfi L, D'Odorico P, Laio F (2011) Noise-Induced Phenomena in the Environmental Sciences. Cambridge University Press.
59. Oksendal B (2003) Stochastic differential equations: an introduction with applications. Universitext (1979). Springer.
60. Karlin S, Taylor H (2000) A second course in stochastic processes. Academic Press.
61. Horsthemke W, Lefever R (1984) Noise-induced transitions: theory and applications in physics, chemistry, and biology. Springer series in synergetics. Springer.
62. Kavinoky R, Thoo J, (2008) The number of real roots of a cubic equation. The AMATYC Review 29: 3-8.
63. Braumann CA, (2007) Harvesting in a random environment: It or stratonovich calculus? Journal of Theoretical Biology 244: 424-432.
64. Kloeden P, Platen E (1992) Numerical solution of stochastic differential equations. Applications of mathematics. Springer-Verlag.
65. Kalialis L, Drzewiecki K, Klyver H, (2009) Spontaneous regression of metastases from melanoma: review of the literature. Melanoma research 19: 275.
66. Da-jin W, Li C, Sheng-zhi K, (1994) Bistable kinetic model driven by correlated noises: Steady-state analysis. Phys Rev E 50: 2496-2502.
67. Atkinson R, Zhang M, Diagaradjane P, Peddibhotla S, Contreras A, et al. (2010) Thermal enhancement with optically activated gold nanoshells sensitizes breast cancer stem cells to radiation therapy. Science translational medicine 2: 55ra79-55ra79.
68. Pietras A, (2011) Cancer stem cells in tumor heterogeneity. Advances in Cancer Research 112: 256.
69. Chow E (2012) Implication of cancer stem cells in cancer drug development and drug delivery. Journal of Laboratory Automation.
70. Chen J, Li Y, Yu TS, McKay RM, Burns DK, et al. (2012) A restricted cell population propagates glioblastoma growth after chemotherapy. Nature 488: 522-526.
71. Arens N, West I, (2008) Press-pulse: a general theory of mass extinction? Paleobiology 34: 456-471.
72. Driessens G, Beck B, Caauwe A, Simons BD, Blanpain C, (2012) Defining the mode of tumour growth by clonal analysis. Nature 488: 527-530.