Bright solitary waves in malignant gliomas

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

Volumn 84, Issue 2, 2011, Pages

  Pérez García, Víctor M ^a   Calvo, Gabriel F ^a   Belmonte Beitia, Juan ^a   Diego, David ^a   Pérez Romasanta, Luis ^b  

^a UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

^b HOSPITAL GENERAL UNIVERSITARIO DE CIUDAD REAL   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BRAIN TUMORS; CANCER CELLS; DYNAMICAL FEATURES; EXACT SOLUTION; NONLINEAR WAVES; NORMAL TISSUE; PATIENT SPECIFIC; PHASE-SPACE ANALYSIS; TUMOR BOUNDARY;

MEDICAL IMAGING; PHASE SPACE METHODS; SOLITONS;

TUMORS;

EID: 80052216616     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.021921     Document Type: Article

References (27)

1. A. C. Scott, The Nonlinear Universe: Chaos, Emergence, Life (Springer, Berlin, 2007).
2. G. F. Calvo, B. Sturman, F. Agullo-Lopez, and M. Carrascosa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.033902 89, 033902 (2002).
3. D. Novoa, B. A. Malomed, H. Michinel, and V. M. Pérez- García, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.144101 101, 144101 (2008).
4. J. D. Murray, Mathematical Biology. I. An Introduction, 3rd ed. (Springer, New York, 2002).
5. H. M. Byrne, Nat. Rev. Cancer PRLTAO 1474-1768 10.1038/nrc2808 10, 221 (2010).
6. P. Y. Wen and S. Kesari, New Eng. J. Med. NEJMAG 0028-4793 10.1056/NEJMra0708126 359, 492 (2008).
7. E. G. V. Meir, C. G. Hadjipanayis, A. D. Norden, H.-K. Shu, P. Y. Wen, and J. J. Olson, CA Cancer J. Clin. CAMCAM 0007-9235 10.3322/caac.20069 60, 166 (2010).
8. J. T. Huse and E. C. Holland, Nat. Rev. Cancer CAMCAM 1474-1768 10.1038/nrc2818 10, 319 (2010).
9. E. Khain and L. M. Sander, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.188103 96, 188103 (2006). (Pubitemid 43724840)
10. K. R. Swanson, R. C. Rostomily, and E. C. Alvord Jr., Br. J. Cancer BJCAAI 0007-0920 10.1038/sj.bjc.6604125 98, 113 (2008).
11. H. B. Frieboes, J. S. Lowengrub, S. Wise, X. Zheng, P. Macklin, E. L. Bearer, and V. Cristini, Neuroimage NEIMEF 1053-8119 10.1016/j.neuroimage.2007. 03.008 37, S59 (2007). (Pubitemid 47239426)
12. P.-Y. Bondiau, O. Clatz, M. Sermensant, P.-Y. Marcy, H. Delingette, M. Frenay, and N. Ayache, Phys. Med. Biol. PHMBA7 0031-9155 10.1088/0031-9155/53/4/ 004 53, 879 (2008). (Pubitemid 351238111)
13. S. E. Eikenberry, T. Sankar, M. C. Preul, E. J. Kostelich, C. J. Thalhauser, and Y. Kuang, Cell Prolif. PHMBA7 0960-7722 10.1111/j.1365-2184. 2009.00613.x 42, 511 (2009).
14. E. Konukoglu, O. Clatz, P.-Y. Bondiau, H. Delingette, and N. Ayache, Med. Image Anal. PHMBA7 1361-8415 10.1016/j.media.2009.11.005 14, 111 (2010).
15. R. Rockne, J. Rockhill, M. Mrugala, A. M. Spence, I. Kalet, K. Hendrickson, A. Lai, T. Cloughesy, E. C. Alvord, and K. R. Swanson, Phys. Med. Biol. PHMBA7 0031-9155 10.1088/0031-9155/55/12/001 55, 3271 (2010).
16. E. Khain, M. Katakowski, S. Hopkins, A. Szalad, X. Zheng, F. Jiang, and M. Chopp, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.031920 83, 031920 (2011).
17. M. J. Ablowitz and A. Zeppetella, Bull. Math. Biol. 41, 835 (1979);
18. Y. N. Kyrychko and K. B. Blyuss, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2008.12.035 373, 668 (2009).
19. D. N. Louis, H. Ohgaki, O. D. Wiestler, and W. K. Cavenee, WHO Classification of Tumours of the Central Nervous System, 4th ed. (Renouf, Geneva, 2007).
20. J. A. Sherratt and M. A. J. Chaplain, J. Math. Biol. JMBLAJ 0303-6812 10.1007/s002850100088 43, 291 (2001).
21. M. J. Tindall, C. P. Please, and M. J. Peddie, Math. Biosci. MABIAR 0025-5564 10.1016/j.mbs.2007.09.002 211, 34 (2008). (Pubitemid 50015151)
22. P. J. Murray, C. M. Edwards, M. J. Tindall, and P. K. Maini, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.031912 80, 031912 (2009).
23. D. Hanahan and R. A. Weinberg, Cell CELLB5 0092-8674 10.1016/j.cell.2011. 02.013 144, 646 (2011).
24. Y. Rong, D. L. Durden, E. G. V. Meir, and D. J. Brat, J. Neuropathol. Exp. Neurol. JNENAD 0022-3069 10.1097/00005072-200606000-00001 65, 529 (2006).
25. R. A. Gatenby and E. T. Gawlinski, Cancer Res. 56, 5745 (1996).
26. N. E. Savaskan and I. Y. Eyupoglu, Ann. Anatom. JNENAD 0940-9602 10.1016/j.aanat.2010.07.003 192, 309 (2010).
27. C. H. Wang, J. K. Rockhill, M. Mrugala, D. L. Peacock, A. Lai, K. Jusenius, J. M. Wardlaw, T. Cloughesy, A. M. Spence, R. Rockne, E. C. Alvord, and K. R. Swanson, Cancer Res. CNREA8 0008-5472 10.1158/0008-5472.CAN-08-3863 69, 9133 (2009).