Tumor evolution in space: The effects of competition colonization tradeoffs on tumor invasion dynamics

Frontiers in Oncology

Volumn 3 MAR, Issue , 2013, Pages

  Orlando, Paul A ^a   Gatenby, Robert A ^b   Brown, Joel S ^c  

^a NATIONAL CANCER INSTITUTE   (United States)

^b H LEE MOFFITT CANCER CENTER AND RESEARCH INSTITUTE   (United States)

^c UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

Competition colonization tradeoff; Partial differential equation model; Spatial ecology; Spatial selection; Tumor invasion

Indexed keywords

ANGIOGENESIS; ARTICLE; CANCER CELL; CELL DENSITY; CELL MOTILITY; CHEMOTAXIS; COMPETITION COLONIZATION TRADEOFF MODEL; ECOLOGY; GENETIC HETEROGENEITY; GROWTH RATE; MATHEMATICAL MODEL; PHENOTYPE; TUMOR GROWTH; TUMOR INVASION;

EID: 84880364359     PISSN: None     EISSN: 2234943X     Source Type: Journal    
DOI: 10.3389/fonc.2013.00045     Document Type: Article

References (40)

1. Aktipis, C. A., Maley, C. C., and Pepper, J. W. (2012). Dispersal evolution in neoplasms: the role of disregulated metabolism in the evolution of cell motility. Cancer Prev. Res. (Phila.) 5, 266-275.
2. Anderson, A. R. (2005). A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion. Math. Med. Biol. 22, 163-186.
3. Barrett, S. C., Colautti, R. I., and Eckert, C. G. (2008). Plant reproductive systems and evolution during biological invasion. Mol. Ecol. 17, 373-383.
4. Benichou, O., Calvez, V., Meunier, N., and Voituriez, R. (2012). Front acceleration by dynamic selection in Fisher population waves. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 86, 041908.
5. Bouin, E., Calvez, V., Meunier, N., Mirrahimi, S., Perthame, B., Raoul, G., et al. (2012). Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration. C. R. Acad. Sci. Paris Ser. I 350, 761-766.
6. Broennimann, O., Treier, U. A., Müller-Schärer, H., Thuiller, W., Peterson, A. T., and Guisan, A. (2007). Evidence of climatic niche shift during biological invasion. Ecol. Lett. 10, 701-709.
7. Brown, G. P., Shilton, C., Phillips, B. L., and Shine, R. (2007). Invasion, stress, and spinal arthritis in cane toads. Proc. Natl. Acad. Sci. U.S.A. 104, 17698-17700.
8. Burton, O. J., Phillips, B. L., and Travis, J. M. (2010). Trade-offs and the evolution of life-histories during range expansion. Ecol. Lett. 13, 1210-1220.
9. Cadotte, M. W., Mai, D. V., Jantz, S., Collins, M. D., Keele, M., and Drake, J. A. (2006). On testing the competition-colonization trade-off in a multispecies assemblage. Am. Nat. 168, 704-709.
10. Cantrell, R. S., Cosner, C., and Lou, Y. (2006). Movement toward better environments and the evolution of rapid diffusion. Math. Biosci. 204, 199-214.
11. Carmeliet, P., and Jain, R. K. (2000). Angiogenesis in cancer and other diseases. Nature 14, 249-257.
12. Chaplain, M. A., McDougall, S. R., and Anderson, A. R. A. (2006). Mathematical modeling of tumor-induced angiogenesis. Annu. Rev. Biomed. Eng. 8, 233-257.
13. Chertock, A., and Kurganov, A. (2008). A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. Numer. Math. 111, 169-205.
14. Cohen, Y. (2009). Evolutionary distributions. Evol. Ecol. Res. 11, 611-635.
15. Dockery, J., Hutson, V., Mischaikow, K., and Pernarowski, M. (1998). The evolution of slow dispersal rates: a reaction diffusion model. J. Math. Biol. 37, 61-83.
16. Eikenberry, S. E., Sankar, T., Preul, M. C., Kostelich, E. J., Thalhauser, C. J., and Kuang, Y. (2009). Virtual glioblastoma: growth, migration and treatment in a three-dimensional mathematical model. Cell Prolif. 42, 511-528.
17. Gatenby, R. (2012). Perspective: finding cancer's first principles. Nature 491, S55.
18. Gerlee, P., and Anderson, A. R. A. (2009). Evolution of cell motility in an individual-based model of tumour growth. J. Theor. Biol. 259, 67-83.
19. Gerlinger, M., Rowan, A. J., Horswell, S., Larkin, J., Endesfelder, D., Gronroos, E., et al. (2012). Intratumor heterogeneity and branched evolution revealed by multiregion sequencing. N. Engl. J. Med. 366, 883-892.
20. Goodsell, D. S. (2003). The molecular perspective: VEGF and angiogenesis. Stem Cells 21, 118-119.
21. Grillon, E., Farion, R., Fablet, K., De Waard, M., Tse, C. M., Donowitz, M., et al. (2011). The spatial organization of proton and lactate transport in a rat brain tumor. PLoS ONE 6:e17416. doi:10.1371/journal.pone.0017416
22. Hart, D., Shochat, E., and Agur, Z. (1998). The growth law of primary breast cancer as inferred from mammography screening trials data. Br. J. Cancer 78, 382-387.
23. Holmes, E. E., Lewis, M. A., Banks, J. E., and Veit, R. R. (1994). Partial differential equations in ecology: spatial interactions and population dynamics. Ecology 75, 17-29.
24. McDaniel, K. J., Kostelich, E., Kuang, Y., Nagy, J. D., Preul, M., Moore, N. Z., et al. (2012). "Data assimilation in brain tumor models," in Mathematical Models and Methods in Biomedicine, eds U. Ledzewicz, H. Schattler, A. Friedman, and E. Kashdan (Berlin: Springer), 233-262.
25. Murray, J. D. (2003). Mathematical Biology II: Spatial Models and Biomedical Applications. New York: Springer.
26. Phillips, B. L. (2009). The evolution of growth rates on an expanding range edge. Biol. Lett. 5, 802-804.
27. Phillips, B. L., Brown, G. P., Greenlees, M., Webb, J. K., and Shine, R. (2007). Rapid expansion of the cane toad (Bufo marinus) invasion front in tropical Australia. Austral. Ecol. 32, 169-176.
28. Phillips, B. L., Brown, G. P., Webb, J. K., and Shine, R. (2006). Invasion and the evolution of speed in toads. Nature 439, 803-803.
29. Rodríguez, A., Jansson, G., Andrén, H., Rodríguez, A., Jansson, G., and Andrén, H. (2007). Composition of an avian guild in spatially structured habitats supports a competition-colonization trade-off. Proc. Biol. Sci. 274, 1403-1411.
30. Schiesser, W. E., and Griffiths, G. W. (2009). A Compendium of Partial Differential Equation Models. Cambridge: Cambridge University Press.
31. Shine, R., Brown, G. P., and Phillips, B. L. (2011). An evolutionary process that assembles phenotypes through space rather than through time. Proc. Natl. Acad. Sci. U.S.A. 108, 5708-5711.
32. Simmons, A. D., and Thomas, C. D. (2004). Changes in dispersal during species' range expansions. Am. Nat. 164, 378-395.
33. Stanton, M. L., Palmer, T. M., and Young, T. P. (2002). Competition-colonization trade-offs in a guild of African acacia-ants. Ecol. Monogr. 72, 347-363.
34. Tilman, D. (1994). Competition and biodiversity in spatially structured habitats. Ecology 75, 2-16.
35. Travis, J. M., and Dytham, C. (2002). Dispersal evolution during invasions. Evol. Ecol. Res. 4, 1119-1129.
36. Turnbull, L. A., Coomes, D., Hector, A., and Rees, M. (2004). Seed mass and the competition/colonization trade-off: competitive interactions and spatial patterns in a guild of annual plants. J. Ecol. 92, 97-109.
37. Turnbull, L. A., Rees, M., and Crawley, M. J. (1999). Seed mass and the competition/colonization trade-off: a sowing experiment. J. Ecol. 87, 899-912.
38. Walker, C., and Webb, G. F. (2007). Global existence of classical solutions for a haptotaxis model. SIAM J. Math. Anal. 38, 1694-1713.
39. Weaver, A. M. (2006). Invadopodia: specialized cell structures for cancer invasion. Clin. Exp. Metastasis 23, 97-105.
40. Yachida, S., Jones, S., Bozic, I., Antal, T., Leary, R., Fu, B., et al. (2010). Distant metastasis occurs late during the genetic evolution of pancreatic cancer. Nature 467, 1114-1117.