Biomedical Engineering Reference
In-Depth Information
8. Arakelyan L, Merbl Y, Agur Z (2005) Vessel maturation effects on tumour growth: validation
of a computer model in implanted human ovarian carcinoma spheroids. Eur J Cancer 41
(1):159-167
9. Breward CJW, Byrne HM, Lewis CE (2003) A multiphase model describing vascular tumour
growth. Bull Math Biol 65:609-640
10. Clark ER (1918) Studies on the growth of blood-vessels in the tail of the frog larva - by
observation and experiment on the living animal. Am J Anat 23(1):37-88
11. Drasdo D, Jagiella N, Ramis-Conde I, Vignon-Clementel I, Weens W (2010) Modeling steps
from a benign tumor to an invasive cancer: Examples of intrinsically multi-scale problems. In:
Chauviere A, Preziosi L, Verdier C (eds) Cell mechanics: From single scale-based models to
multiscale modeling. Chapman & Hall/CRC, pp 379-417
12. Folkman J (1971) Tumour angiogenesis - therapeutic implications. New Engl J Med
285:1182-1186
13. Folkman J, Klagsburn M (1987) Angiogenic factors. Science 235:442-447
14. Frieboes HB, Lowengrub JS, Wise S, Zheng X, Macklin P, Bearer E, Cristini V (2007)
Computer simulation of glioma growth and morphology. Neuroimage 37(S1):59-70
15. Lee DS, Rieger H, Bartha K (2006) Flow correlated percolation during vascular remodeling in
growing tumors. Phys Rev Lett 96(5):058,104-4
16. Lloyd BA, Szczerba D, Rudin M, Sz´kely G (2008) A computational framework for modelling
solid tumour growth. Phil Trans R Soc A 366:3301-3318
17. Macklin P, McDougall S, Anderson AR, Chaplain MAJ, Cristini V, Lowengrub J (2009)
Multiscale modelling and nonlinear simulation of vascular tumour growth. J Math Biol
58:765-798
18. Mantzaris N, Webb SD, Othmer HG (2004) Mathematical modelling of tumour angiogenesis:
A review. J Math Biol 49:111-187
19. McDougall SR, Anderson ARA, Chaplain MAJ (2006) Mathematical modelling of dynamic
adaptive tumour-induced angiogenesis: Clinical
implications and therapeutic targeting
strategies. J Theor Biol 241(3):564-89
20. Owen MR, Alarc´n T, Maini PK, Byrne HM (2009) Angiogenesis and vascular remodelling in
normal and cancerous tissues. J Math Biol 58:689-721
21. Owen M, Stamper I, Muthana M, Richardson G, Dobson J, Lewis C, Byrne H (2011)
Mathematical modeling predicts synergistic antitumor effects of combining a macrophage-
based, hypoxia-targeted gene therapy with chemotherapy. Cancer Res 71(8):2826
22. Perfahl H, Byrne H, Chen T, Estrella V, Alarc´n T, Lapin A, Gatenby R, Gillies R, Lloyd M,
Maini P, et al (2011) Multiscale modelling of vascular tumour growth in 3d: The roles of
domain size and boundary conditions. PloS one 6(4):e14,790. doi:10.1371/journal.
pone.0014790
23. Plank MJ, Sleeman BD (2003) A reinforced random walk model of tumour angiogenesis and
anti-angiogenic strategies. Math Med Biol 20(2):135-181
24. Plank M, Sleeman B (2004) Lattice and non-lattice models of tumour angiogenesis. Bull Math
Biol 66(6):1785-1819
25. Pries AR, Secomb TW, Gaehtgens P (1998) Structural adaptation and stability of microvascu-
lar networks: Theory and simulations. Am J Physiol 275(2 Pt 2):H349-H360
26. Pries A, Reglin B, Secomb T (2001) Structural adaptation of microvascular networks: Func-
tional roles of adaptive responses. Am J Physiol 281:H1015-H1025
27. Pugh C, Rattcliffe P (2003) Regulation of angiogenesis by hypoxia: Role of the hif system.
Nature Med 9:677-684
28. Resnick N, Yahav H, Shay-Salit A, Shushy M, Schubert S, Zilberman L, Wofovitz E (2003)
Fluid shear stress and the vascular endothelium: For better and for worse. Progr Biophys Mol
Biol 81:177-199
29. Risau W (1997) Mechanisms of angiogenesis. Nature 386:871-875
30. Schaller G, Meyer-Hermann M (2005) Multicellular tumor spheroid in an off-lattice Voronoi-
Delaunay cell model. Phys Rev E 71:1-16
Search WWH ::




Custom Search