Citation: Tiberiu Harko, Man Kwong Mak. Travelling wave solutions of the reaction-diffusion mathematical model of glioblastoma growth: An Abel equation based approach[J]. Mathematical Biosciences and Engineering, 2015, 12(1): 41-69. doi: 10.3934/mbe.2015.12.41
[1] | Cancer Letters, 298 (2010), 139-149. |
[2] | American Journal of Neuroradiology, 16 (1995), 1013-1017. |
[3] | Physics Letters A, 232 (1997), 200-206. |
[4] | Il Nuovo Cimento, 119 (2004), 975-982. |
[5] | Bollettino dell Unione Matematica Italiana, 10 (1931), 301-307. |
[6] | Journal of Neuro-Oncology, 70 (2004), 217-228. |
[7] | Cell Prolif., 42 (2009), 511-528. |
[8] | Oxford, Oxford University Press, 1999. |
[9] | Ann. Eugenics, 7 (1937), 355-369. |
[10] | Journal of Membrane Science, 349 (2010), 195-207. |
[11] | PLOS Computational Biology, 8 (2012), 1002556, 12pp. |
[12] | preprint, arXiv:1305.5036. |
[13] | Applied Mathematics and Computation, 218 (2012), 8779-8799. |
[14] | Journal of differential equations, 124 (1996), 27-79. |
[15] | Birkhäuser, 2004. |
[16] | Deutsch. Verlag Wissenschaft., Berlin, 1958. |
[17] | Computers and Mathematics with Applications, 46 (2003), 849-853. |
[18] | Applied Mathematics and Computation, 236 (2014), 184-194. |
[19] | Universal Journal of Applied Mathematics, 1 (2013), 101-104. |
[20] | Journal of Engineering Mathematics, accepted for publication, arXiv:1302.0836. |
[21] | J Neuropathol Exp Neurol, 66 (2007), 1-9. |
[22] | Computers and Mathematics with Applications, 59 (2010), 2326-2339. |
[23] | Mathematical Medicine and Biology, 29 (2012), 49-65. |
[24] | Math. Biosci. Eng., 6 (2009), 521-546. |
[25] | Magnetic Resonance in Medicine, 54 (2005), 616-624. |
[26] | Composite Structures, 108 (2014), 111-118. |
[27] | Journal of Neurooncology, 107 (2012), 359-364. |
[28] | 43 (2008), 29-35. |
[29] | Chelsea, New York, 1959. |
[30] | Bulletin de l'Université d'État à Moscou, Série Internationale, Section A Mathématiques et Mécanique, 1 (1937), 1-25. |
[31] | Sitzungs. Berl. Math. Ges., 18 (1920), 26-31. |
[32] | Cancer, 50 (1982), 2066-2073. |
[33] | Acta Neuropathol., 114 (2007), 97-109. |
[34] | Computers and Mathematics with Applications, 41 (2001), 1395-1401. |
[35] | Computers and Mathematics with Applications, 43 (2002), 91-94. |
[36] | Physics Letters, A 377 (2013), 1234-1238. |
[37] | preprint, arXiv:1301.3567. |
[38] | Journal of Mathematical Physics, 54 (2013), 081502, 15pp. |
[39] | Annals of Neurology, 53 (2003), 524-528. |
[40] | Journal of Theoretical Biology, 353 (2014), 95-103. |
[41] | Bulletin of Mathematical Biology, 74 (2012), 2875-2896. |
[42] | Cell Prolif, 27 (1994), 73-94. |
[43] | C. R. Biologies, 327 (2004), 995-1008. |
[44] | Acta Oncologica, 48 (2009), 591-597. |
[45] | Journal of Theoretical Biology, 56 (1976), 329-353. |
[46] | 3rd ed, New York, NY: Springer- Verlag, 2002. |
[47] | Math. Models Methods Appl. Sci., 24 (2014), 2601-2626. arXiv:1401.3649. |
[48] | Chapman & Hall/CRC, Boca Raton London New York Washington, D.C., 2003. |
[49] | J. Math. Biol., 58 (2009), 561-578. |
[50] | Physics Letters A, 245 (1998), 527-536. |
[51] | Journal of Neuro-Oncology, 10 (1991), 179-185. |
[52] | Adv. Cancer Chemother., 1 (1979), 205-253. |
[53] | Biophysical Journal, 81 (2001), 1868-1880. |
[54] | Biophysical Journal, 92 (2007), 356-365. |
[55] | Journal of the Neurological Sciences, 216 (2003), 1-10. |
[56] | Can J Neurol Sci, 29 (2002), p395. |
[57] | Cell Prolif., 28 (1995), 17-31. |
[58] | The New England Journal of Medicine, 359 (2008), 492-507. |
[59] | Nature, 413 (2001), 628-631. |
[60] | Cell. Prolif., 29 (1996), 269-288. |
[61] | Cancer Research, 53 (1993), 2987-2993. |