Comparable ecological dynamics underlie early cancer invasion and species dispersal, involving self-organizing processes

Journal of Theoretical Biology

Volumn 256, Issue 1, 2009, Pages 65-75

  Marco, Diana E ^a   Cannas, Sergio A ^a   Montemurro, Marcelo A ^b   Hu, Bo ^c   Cheng, Shi Yuan ^c  

^a UNIVERSIDAD NACIONAL DE CÓRDOBA   (Argentina)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

^c UNIVERSITY OF PITTSBURGH CANCER INSTITUTE   (United States)

Author keywords

Cancer and species invasion; Complex systems; Long range dispersal; Power law scaling; Self organization

Indexed keywords

CANCER; COMPARATIVE STUDY; DISPERSAL; EPIDEMIC; POWER LAW; TUMOR;

ARTICLE; CANCER CELL; CANCER INVASION; CELL PROLIFERATION; ECOLOGY; METASTASIS; PRIORITY JOURNAL; SIMULATION; TROPHOBLAST;

ANIMALS; CELL PROLIFERATION; COMPUTER SIMULATION; DISEASE OUTBREAKS; ECOLOGY; FRACTALS; HUMANS; MODELS, BIOLOGICAL; NEOPLASM INVASIVENESS; NEOPLASM METASTASIS; POPULATION DYNAMICS;

EID: 57049145755     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2008.09.011     Document Type: Article

References (65)

1. Albini A., and Sporn M.B. The tumour microenvironment as a target for chemoprevention. Nat. Rev. Cancer 7 (2007) 139-147
2. Bernstein J.J., Laws Jr. E.R., Levine K.V., Wood L.R., Tadvalkar G., and Goldberg W.J. C6 glioma-astrocytoma cell and fetal astrocyte migration into artificial basement membrane: a permissive substrate for neural tumours but not fetal astrocytes. Neurosurgery 28 (1991) 652-658
3. Bialozyt R., Ziegenhagen B., and Petit R.J. Contrasting effects of long distance seed dispersal on genetic diversity during range expansion. J. Evol. Biol. 19 (2006) 12-20
4. Brown J.K.M., and Hovmoller M.S. Aerial dispersal of pathogens on the global and continental scales and its impact on plant disease. Science 297 (2002) 537-541
5. Brú A., Pastor J.M., Fernaud I., Brú I., Melle S., and Berenguer C. Super-rough dynamics on tumor growth. Phys. Rev. Lett. 81 (1998) 4008-4011
6. Brú A., Albertos S., Subiza J.L., López García-Asenjo J., and Brú I. The universal dynamics of tumor growth. Biophys. J. 85 (2003) 2948-2961
7. Bullock J.M., and Clarke R.T. Long distance seed dispersal by wind: measuring and modelling the tail of the curve. Oecologia 124 (2000) 506-521
8. Cannas S.A. Phase diagram of a stochastic cellular automaton with long-range interactions. Physica A 258 (1998) 32-44
9. Cannas S.A., Marco D.E., and Páez S.A. Modelling biological invasions: species traits, species interactions and habitat heterogeneity. Math. Biosci. 183 (2003) 93-110
10. Cannas S.A., Marco D.E., and Montemurro M. Long range dispersal and spatial pattern formation in biological invasions. Math. Biosci. 203 (2006) 155-170
11. Clark J.S., Lewis M., and Horvath L. Invasion by extremes: population spread with variation in dispersal and reproduction. Am. Nat. 157 (2001) 537-554
12. Davies S., White A., and Lowe A. An investigation into effects of long-distance seed dispersal on organelle population genetic structure and colonization rate: a model analysis. Heredity 93 (2004) 566-576
13. Demicheli R., Miceli R., Moliterni A., Zambetti M., Hrushesky W.J.M., et al. Breast cancer recurrence dynamics following adjuvant CMF is consistent with tumor dormancy and mastectomy-driven acceleration of the metastatic process. Ann. Oncol. 16 (2005) 1449-1457
14. Essam J.W. Percolation theory. Rep. Prog. Phys. 43 (1980) 833-912
15. Even-Ram S., Uziely B., Cohen P., Grisaru-Granovsky S., Maoz M., et al. Thrombin receptor overexpression in malignant and physiological invasion processes. Nat. Med. 4 (1998) 909-914
16. Ferretti C., Bruni L., Dangles-Marie V., Pecking A.P., and Bellet D. Molecular circuits shared by placental and cancer cells, and their implications in the proliferative, invasive and migratory capacities of trophoblasts. Hum. Reprod. Update 13 (2007) 121-141
17. Filipe J.A.N., and Maule M.M. Effects of dispersal mechanisms on spatio-temporal development of epidemics. J. Theor. Biol. 226 (2004) 125-141
18. Gibson G.J. Investigating mechanisms of spatio-temporal epidemic spread using stochastic models. Phytopathology 87 (1997) 139-146
19. Gilbert M., Grégoire J.C., Freise J.F., and Heitland W. Long-distance dispersal and human population density allow the prediction of invasive patterns in the horse chestnut leafminer Cameraria ohridella. Ecology 73 (2004) 459-468
20. Gilbert M., Guichard S., Freise J., Grégoire J.-C., Heitland W., Straw N., Tilbury C., and Augustin S. Forecasting Cameraria ohridella invasion dynamics in recently invaded countries: from validation to prediction. J. Appl. Ecol. 42 (2005) 805-813
21. Gleiser P.M., Tamarit F.A., and Cannas S.A. Self-organized criticality in a model of biological evolution with long-range interactions. Physica A 275 (2000) 272-280
22. Gleiser P.M., Cannas S.A., Tamarit F.A., and Zheng B. Long-range effects in granular avalanching. Phys. Rev. E 63 (2001) 042301
23. Goffin F., Munaut C., Malassiné A., Evain-Brion D., Frankenne F., et al. Evidence of a limited contribution of feto-maternal interactions to trophoblast differentiation along the invasive pathway. Tissue Antigens 62 (2003) 104-116
24. González-García I., Solé R.V., and Costa J. Metapopulation dynamics and spatial heterogeneity in cancer. Proc. Natl. Acad. Sci. USA 99 (2004) 13085-13089
25. Guba M., Cernaianu G., Koehl G., Geissler E.K., Jauch K.W., et al. A primary tumor promotes dormancy of solitary tumor cells before inhibiting angiogenesis. Cancer Res. 61 (2001) 5575-5579
26. Halley J.M., Hartley S., Kallimanis A.S., Kunin W.E., Lennon J.J., and Sgardelis S.P. Uses and abuses of fractal methodology in ecology. Ecol. Lett. 7 (2004) 254-271
27. Higgins S.I., Richardson D.M., and Cowling RM. Modelling invasive plant spread: the role of plant-environment interactions and model structure. Ecology 77 (1996) 2043-2054
28. Hingorani S.R., Petricoin E.F., Anirban Maitra A., Rajapakse V., et al. Preinvasive and invasive ductal pancreatic cancer and its early detection in the mouse. Cancer Cell 4 (2003) 437-450
29. Hu B., Guo P., Fang Q., Tao H.-Q., Wang D., et al. Angiopoietin-2 induces human glioma invasion through the activation of matrix metalloprotease-2. Proc. Natl. Acad. Sci. USA 100 (2003) 8904-8909
30. Ibrahim K.M., Nichols R.A., and Hewitt G.M. Spatial patterns of genetic variation generated by different forms of dispersal during range expansion. Heredity 77 (1996) 282-291
31. Imanishi Y., Hu B., Jarzynka M.J., Guo P., Elishaev E., Bar-Joseph I., and Cheng S.-Y. Angiopoietin-2 stimulates breast cancer metastasis through the A5B1 integrin-mediated pathway. Cancer Res. 67 (2007) 4254-4263
32. Iwasa Y., Nowak M.A., and Michor F. Evolution of resistance during clonal expansion. Genetics 172 (2006) 2557-2566
33. Jennane R., Harba R., Lemineur G., Bretteil S., Estrade A., and Benhamou C.L. Estimation of the 3D self-similarity parameter of trabecular bone from its 2D projection. Med. Image Anal. 11 (2007) 91-98
34. Johnston A.L.M., Xueqing Lun X., Rahn J.J., Liacini A., Wang L., et al. The p75 neurotrophin receptor is a central regulator of glioma invasion. PLoS Biol. 5 (2007) 1723-1737
35. Kaufman L.J., Brangwynne C.P., Kasza K.E., Filippidi E., Gordon V.D., Deisboeck T.S., and Weitz D.A. Glioma expansion in collagen I matrices: analyzing collagen concentration-dependent growth and motility patterns. Biophys. J. 89 (2005) 635-650
36. Kenny P.A., and Bissell M.J. Tumor reversion: correction of malignant behavior by microenvironmental cues. Int. J. Cancer 107 (2003) 688-695
37. Kitano H. Cancer as a robust system: implications for anticancer therapy. Nat. Rev. Cancer 4 (2004) 227-235
38. Klein C.A., Blankenstein T.J.F., Schmidt-Kittler O., Petronio M., Polzer B., et al. Genetic heterogeneity of single disseminated tumour cells in minimal residual cancer. Lancet 360 (2002) 683-689
39. Kot M., Lewis M.A., and van den Driessche P. Dispersal data and the spread of invading organisms. Ecology 77 (1996) 2027-2042
40. Le Corre V., Machon N., Petit R.J., and Kremer A. Colonization with long-distance seed dispersal and genetic structure of maternally inherited genes in forest trees: a simulation study. Genet. Res. Camb. 69 (1997) 117-125
41. Li F., Sone S., Abe H., MacMahon H., and Doi K. Malignant versus benign nodules at CT screening for lung cancer: comparison of thin-section CT findings. Radiology 233 (2004) 793-798
42. Mandelbrot B.B. The Fractal Geometry of Nature (1982), W.H. Freeman, San Francisco
43. Marco D.E., and Páez S.A. Invasion of Gleditsia triacanthos in Lithraea ternifolia montane forests of central Argentina. Environ. Manage. 26 (2000) 409-419
44. Marco D.E., Páez S.A., and Cannas S.A. Species invasiveness in biological invasions: a modelling approach. Biol. Inv. 4 (2002) 193-205
45. Mayr E. Animal Species and Evolution (1963), Harvard University Press, Cambridge, MA
46. Merlo L.M.F., Pepper J.W., Reid B.J., and Maley C.C. Cancer as an evolutionary and ecological process. Nat. Rev. Cancer 6 (2006) 924-935
47. Mimeault M., and Batra S.K. Functions of tumorigenic and migrating cancer progenitor cells in cancer progression and metastasis and their therapeutic implications. Cancer Metastasis Rev. 26 (2007) 203-214
48. Muirhead J.R., Leung B., van Overdijk C., Kelly D.W., Nandakumar K., Marchant K.R., and MacIsaac H.J. Modelling local and long-distance dispersal of invasive emerald ash borer Agrilus planipennis (Coleoptera) in North America. Diversity Distrib. 12 (2006) 71-79
49. Nathan R. Long-distance dispersal research: building a network of yellow brick roads. Diversity Distrib. 11 (2005) 125-130
50. Nowell P.C. The clonal evolution of tumour cell populations. Science 194 (1976) 23-28
51. Pascual M., Roy M., Guichard F., and Flierl G. Cluster size distributions: signatures of self-organization in spatial ecologies. Philos. Trans. R. Soc. Lond. B 357 (2002) 657-666
52. Petit R., Pineau E., Demesure B., Bacilieri R., Ducousso A., and Kremer A. Chloroplast DNA footprints of postglacial recolonization by oaks. Proc. Natl. Acad. Sci. USA 94 (1997) 9996-10001
53. Pollheimer, J., Knöfler, M., 2005. Signalling pathways regulating the invasive differentiation of human trophoblasts: a review. Placenta vol. 26, Supplement A, Trophoblast Research 19, S25-S30.
54. Reya T., Morrison S.J., Clarke M.F., and Weissman I.L. Stem cells, cancer, and cancer stem cells. Nature 414 (2001) 105-111
55. Sahai E. Illuminating the metastatic process. Nat. Rev. Cancer 7 (2007) 737-749
56. Sander L.M., and Deisboeck T.S. Growth patterns of microscopic brain tumours. Phys. Rev. E 66 (2002) 051901
57. Scanlon T.M., Caylor K.K., Levin S.A., and Rodriguez-Iturbe I. Positive feedbacks promote power-law clustering of Kalahari vegetation. Nature 449 (2007) 209-211
58. Shaw M.W. Simulation of population expansion and spatial pattern when individual dispersal distributions do not decline exponentially with distance. Proc. R. Soc. Lond. B Biol. Sci. 259 (1995) 243-248
59. Sutherland B.R., and Jacobs A.E. Self-organization and scaling in a lattice predator-prey model. Complex Systems 8 (1994) 385-405
60. Talmadge J.E., Wolman S.R., and Fidler I.J. Evidence for the clonal origin of spontaneous metastases. Science 217 (1982) 361-363
61. Tamaki M., McDonald W., Amberger V.R., Moore E., and del Maestro R.F. Implantation of C6 astrocytoma spheroid into collagen type I gels: invasive, proliferative, and enzymatic characterizations. J. Neurosurg. 87 (1997) 602-609
62. van Oijen M.G., and Slootweg P.J. Oral field cancerization: carcinogen-induced independent events or micrometastatic deposits?. Cancer Epidemiol. Biomarkers Prev. 9 (2000) 249-256
63. Vonlaufen A., Joshi S., Qu Ch., et al. Pancreatic stellate cells: partners in crime with pancreatic cancer cells. Cancer Res. 68 (2007) 2085-2093
64. Wingen L.U., Brown J.K.M., and Shaw M.W. The population genetic structure of clonal organisms generated by exponentially-bounded and fat-tailed dispersal. Genetics 177 (2007) 435-448
65. Xu X.-M., and Ridout M.S. Effects of initial epidemic conditions, sporulation rate, and spore dispersal gradient on the spatio-temporal dynamics of plant disease epidemics. Phytopathology 88 (1998) 1000-1012