Spatial evolution of tumors with successive driver mutations

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 92, Issue 2, 2015, Pages

  Antal, Tibor ^a   Krapivsky, P L ^b   Nowak, M A ^c  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b Boston University   (United States)

^c HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CELL PROLIFERATION; CLONING; DISEASES; TUMORS;

CELL DIVISIONS; ENHANCED GROWTH; EVOLUTIONARY DYNAMICS; FUNCTION OF TIME; SPATIAL EVOLUTION; SPATIAL GROWTH; SPHERICAL SHAPE; THREE DIMENSIONS;

CLONE CELLS;

BIOLOGICAL MODEL; GENETICS; MARKOV CHAIN; MUTATION; NEOPLASM; PATHOPHYSIOLOGY;

MODELS, BIOLOGICAL; MUTATION; NEOPLASMS; STOCHASTIC PROCESSES;

EID: 84939614428     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.92.022705     Document Type: Article

References (62)

1. B. Vogelstein and W. Kinzler, The Genetic Basis of Human Cancer (McGraw-Hill, New York, 1998).
2. R. Weinberg, The Biology of Cancer (Garland Science, New York, 2013).
3. B. Vogelstein, N. Papadopoulos, V. E. Velculescu, S. Zhou, L. A. Diaz, Jr., and K. W. Kinzler, Science 339, 1546 (2013). SCIEAS 0036-8075 10.1126/science.1235122
4. D. Wodarz and N. L. Komarova, Dynamics of Cancer: Mathematical Foundations of Oncology (World Scientific, New Jersey, 2014).
5. S. H. Moolgavkar and A. G. Knudson, J. Natl. Cancer Inst. 66, 1037 (1981).
6. M. A. Nowak, N. L. Komarova, A. Sengupta, P. V. Jallepalli, L.-M. Shih, B. Vogelstein, and C. Lengauer, Proc. Natl. Acad. Sci. USA 99, 16226 (2002). PNASA6 0027-8424 10.1073/pnas.202617399
7. N. L. Komarova, A. Sengupta, and M. A. Nowak, J. Theor. Biol. 223, 433 (2003). JTBIAP 0022-5193 10.1016/S0022-5193(03)00120-6
8. M. A. Nowak, F. Michor, N. L. Komarova, and Y. Iwasa, Proc. Natl. Acad. Sci. USA 101, 10635 (2004). PNASA6 0027-8424 10.1073/pnas.0400747101
9. N. Beerenwinkel, T. Antal, D. Dingli, A. Traulsen, K. W. Kinzler, V. E. Velculescu, B. Vogelstein, and M. A. Nowak, PLoS Comput. Biol. 3, e225 (2007). 1553-734X 10.1371/journal.pcbi.0030225
10. I. Bozic, T. Antal, H. Ohtsuki, H. Carter, D. Kim, S. Chen, R. Karchin, K. W. Kinzler, B. Vogelstein, and M. A. Nowak, Proc. Natl. Acad. Sci. USA 107, 18545 (2010). PNASA6 0027-8424 10.1073/pnas.1010978107
11. C. D. McFarland, K. S. Korolev, G. V. Kryukov, S. R. Sunyaev, and L. A. Mirny, Proc. Natl. Acad. Sci. USA 110, 2910 (2013). PNASA6 0027-8424 10.1073/pnas.1213968110
12. C. D. McFarland, L. A. Mirny, and K. S. Korolev, Proc. Natl. Acad. Sci. USA 111, 15138 (2014). PNASA6 0027-8424 10.1073/pnas.1404341111
13. S. Yachida, S. Jones, I. Bozic, T. Antal, R. Leary, B. Fu, M. Kamiyama, R. H. Hruban, J. R. Eshleman, M. A. Nowak, V. E. Velculescu, K. W. Kinzler, B. Vogelstein, and C. A. Iacobuzio-Donahue, Nature 467, 1114 (2010). NATUAS 0028-0836 10.1038/nature09515
14. N. L. Komarova and D. Wodarz, Proc. Natl. Acad. Sci. USA 102, 9714 (2005). PNASA6 0027-8424 10.1073/pnas.0501870102
15. F. Michor, T. P. Hughes, Y. Iwasa, S. Branford, N. P. Shah, C. L. Sawyers, and M. A. Nowak, Nature 435, 1267 (2005). NATUAS 0028-0836 10.1038/nature03669
16. Y. Iwasa, M. A. Nowak, and F. Michor, Genetics 172, 2557 (2006). GENTAE 0016-6731 10.1534/genetics.105.049791
17. N. L. Komarova, J. Theor. Biol. 239, 351 (2006). JTBIAP 0022-5193 10.1016/j.jtbi.2005.08.003
18. I. Bozic, eLife 2, e00747 (2013). 2050-084X 10.7554/eLife.00747
19. N. Beerenwinkel, R. F. Schwarz, M. Gerstung, and F. Markowetz, System. Biol. 64, E1 (2015). 1063-5157 10.1093/sysbio/syu081
20. H. M. Byrne, T. Alarcon, M. R. Owen, S. D. Webb, and P. K. Maini, Phil. Trans. R. Soc. A 364, 1563 (2006). PTRMAD 1364-503X 10.1098/rsta.2006.1786
21. J. A. Sherratt and M. A. Nowak, Proc. R. Soc. Lond. B 248, 261 (1992). PRLBA4 0962-8452 10.1098/rspb.1992.0071
22. T. Roose, S. J. Chapman, and P. K. Maini, SIAM Rev. 49, 179 (2007). SIREAD 0036-1445 10.1137/S0036144504446291
23. M. M. Baraldi, A. A. Alemi, J. P. Sethna, S. Caracciolo, C. A. M. La Porta, and S. Zapperi, J. Stat. Mech. (2013) P02032. 10.1088/1742-5468/2013/02/P02032
24. B. Perthame, F. Quirós, and J. L. Vázquez, Arch. Ration. Mech. Anal. 212, 93 (2014). AVRMAW 0003-9527 10.1007/s00205-013-0704-y
25. Y. Jiao and S. Torquato, PLoS Comput. Biol. 7, e1002314 (2011). 1553-7358 10.1371/journal.pcbi.1002314
26. G. De Matteis, A. Graudenzi, and A. M. Antoniotti, J. Math. Biol. 66, 1409 (2013). JMBLAJ 0303-6812 10.1007/s00285-012-0539-4
27. A. Friedman, in Lecture Notes in Mathematics, Vol. 1872 (Springer-Verlag, Berlin, 2006), p. 223.
28. H. M. Bryne and M. A. J. Chaplain, Euro. J. Appl. Math. 8, 639 (1997). 0956-7925 10.1017/S0956792597003264
29. S. Cui and A. Friedman, J. Math. Anal. Appl. 255, 636 (2001). JMANAK 0022-247X 10.1006/jmaa.2000.7306
30. A. Sottoriva, Proc. Natl. Acad. Sci. USA 110, 4009 (2012). PNASA6 0027-8424 10.1073/pnas.1219747110
31. A. M. Klein, D. P. Doupé, P. H. Jones, and B. D. Simons, Phys. Rev. E 76, 021910 (2007). PLEEE8 1539-3755 10.1103/PhysRevE.76.021910
32. R. Durrett and S. Moseley, Theor. Popul. Biol. 77, 42 (2010). TLPBAQ 0040-5809 10.1016/j.tpb.2009.10.008
33. T. Antal and P. L. Krapivsky, J. Stat. Mech. (2011) P08018. 10.1088/1742-5468/2011/08/P08018
34. C. A. M. La Porta, S. Zapperi, and J. P. Sethna, PLoS Comput. Biol. 8, e1002316 (2012). 1553-7358 10.1371/journal.pcbi.1002316
35. T. Williams and R. Bjerknes, Nature 235, 19 (1972). NATUAS 0028-0836 10.1038/236019a0
36. M. Bramson and D. Griffeath, Math. Proc. Cambridge Philos. Soc. 88, 339 (1980). MPCPCO 0305-0041 10.1017/S0305004100057650
37. M. Bramson and D. Griffeath, Ann. Probab. 9, 173 (1981). APBYAE 0091-1798 10.1214/aop/1176994459
38. E. A. Martens, R. Kostadinov, C. C. Maley, and O. Hallatschek, New J. Phys. 13, 115014 (2011). NJOPFM 1367-2630 10.1088/1367-2630/13/11/115014
39. A. R. Kansal, S. Torquato, E. A. Chiocca, and T. S. Deisboeck, J. Theor. Biol. 207, 431 (2000). JTBIAP 0022-5193 10.1006/jtbi.2000.2186
40. B. Waclaw, I. Bozic, M. E. Pittman, R. H. Hruban, B. Vogelstein, and M. A. Nowak, arXiv:1503.07116.
41. N. L. Komarova, Math. Biosci. Eng. 10, 3 (2013). 1551-0018 10.3934/mbe.2013.10.761
42. M. A. Nowak, F. Michor, and Y. Iwasa, Proc. Natl. Acad. Sci. USA 100, 14966 (2003). PNASA6 0027-8424 10.1073/pnas.2535419100
43. R. Durrett and S. Moseley, Ann. Appl. Probab. 25, 104 (2015). 1050-5164 10.1214/13-AAP989
44. J. W. Evans, Rev. Mod. Phys. 65, 1281 (1993). RMPHAT 0034-6861 10.1103/RevModPhys.65.1281
45. M. Kleban, Class. Quantum Gravity 28, 204008 (2011). CQGRDG 0264-9381 10.1088/0264-9381/28/20/204008
46. R. M. Bradley and P. N. Strenski, Phys. Rev. B 40, 8967 (1989). PRBMDO 0163-1829 10.1103/PhysRevB.40.8967
47. Yu. A. Andrienko, N. V. Brilliantov, and P. L. Krapivsky, Phys. Rev. A 45, 2263 (1992). PLRAAN 1050-2947 10.1103/PhysRevA.45.2263
48. I. G. Ron, I. Golding, B. Lifsitz-Mercer, and E. Ben-Jacob, Physica A 320, 485 (2003). PHYADX 0378-4371 10.1016/S0378-4371(02)01547-9
49. O. Hallatschek and D. R. Nelson, Evolution 64, 193 (2010). EVOLAO 0014-3820 10.1111/j.1558-5646.2009.00809.x
50. K. S. Korolev, M. J. I. Müller, N. Karahan, A. W. Murray, O. Hallatschek, and D. R. Nelson, Phys. Biol. 9, 026008 (2012). 1478-3967 10.1088/1478-3975/9/2/026008
51. F. Hirschhaeusera, J. Biotechnology 148, 3 (2010). 0168-1656 10.1016/j.jbiotec.2010.01.012
52. J. H. van Es and H. Clevers, Methods Mol. Biol. 1267, 125 (2015). 10.1007/978-1-4939-2297-0-6
53. A. Brú, S. Albertos, J. L. Subiza, J. L. García-Asenjo, and I. A. Brú, Biophys. J. 85, 2948 (2003). BIOJAU 0006-3495 10.1016/S0006-3495(03)74715-8
54. A. Brú, S. Albertos, J. A. López García-Asenjo, and I. Brú, Phys. Rev. Lett. 92, 238101 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.238101
55. D. Drasdo and S. Höhme, Phys. Biol. 2, 133 (2005). 1478-3975 10.1088/1478-3975/2/3/001
56. M. A. J. Chaplain, M. Ganesh, and I. G. Graham, J. Math. Biol. 42, 387 (2001). JMBLAJ 0303-6812 10.1007/s002850000067
57. P. Ciarletta, D. Ambrosi, G. A. Maugin, and L. Preziosi, Eur. Phys. J. E 36, 23 (2013). EPJSFH 1292-8941 10.1140/epje/i2013-13023-2
58. M. O. Lavrentovich and D. R. Nelson, Theor. Popul. Biol. 102, 26 (2015). 10.1016/j.tpb.2015.03.002
59. T. A. Cook, The Curves of Life (Dover, London, 1985).
60. L. A. Kunz-Schughart, Cell Biol. Int. 23, 157 (1999). CBIIEV 1065-6995 10.1006/cbir.1999.0384
61. A. Lorz, T. Lorenzi, J. Clairambault, A. Escargueil, and B. Perthame, Bull. Math. Biol. 77, 1 (2015). BMTBAP 0092-8240 10.1007/s11538-014-0046-4
62. S. Jones, W. Chen, G. Parmigiani, F. Diehl, Proc. Natl. Acad. Sci. USA 105, 4283 (2008). PNASA6 0027-8424 10.1073/pnas.0712345105