Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development

Mathematical and Computer Modelling

Volumn 23, Issue 6, 1996, Pages 47-87

  Chaplain, M A J ^a  

^a UNIVERSITY OF BATH   (United Kingdom)

Author keywords

Avascular growth; Tumour angiogenesis; Vascular growth

Indexed keywords

EID: 0002964937     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/0895-7177(96)00019-2     Document Type: Article

References (15)

1. J. Folkman, Tumor angiogenesis, Cancer 3, 355-388 (1975).
2. J. Folkman, The vascularization of tumors, Sci. Am. 234, 58-73 (1976).
3. R.E. Durand, Multicell spheroids as a model for cell kinetic studies, Cell Tissue Kinet. 23, 141-159 (1990).
4. R..M. Sutherland, Cell and environment interactions in tumor microregions: The multicell spheroid model, Science 240, 177-184 (1988).
5. W. Mueller-Klieser, Multicellular spheroids: A review on cellular aggregates in cancer research, J. Cancer Res. Clin. Oncol. 113, 101-122 (1987).
6. F. Brümmer and D.F. Hülser, Intercellular communication in multicell spheroids, European J. Cell Biol. 27, 108 (1982).
7. H. Dertinger, G. Hinz and K.H. Jakobs, Intercellular communication, three-dimensional cell contact and radiosensitivity, Biophys. Struct. Mech. 9, 89-93 (1982).
8. G. Adam, U. Steiner, H. Maier and S. Ullrich, Analysis of cellular interactions in density-dependent inhibition of 3T3 cell proliferation, Biophys. Struct. Mech. 9, 75-82 (1982).
9. R.E. Durand, Cell cycle kinetics in an in vitro tumour model, Cell Tissue Kinet. 9, 403-412 (1976).
10. J.P. Freyer and R.M. Sutherland, Determination of diffusion constants for metabolites in multicell tumor spheroids, Adv. Exp. Med. Biol. 159, 463-475 (1983).
11. J.P. Freyer, Role of necrosis in saturation of spheroid growth, Strahlentherapie 160, 58 (1984).
12. J.P. Freyer, E. Tustanoff, A.J. Franko and R.M. Sutherland, In situ oxygen consumption rates of cells in V-79 multicellular spheroids during growth, J. Cell. Physiol. 118, 53-61 (1984).
13. J.P. Freyer and R.M. Sutherland, Regulation of growth saturation and development of necrosis in EMT6/Ro multicellular spheroids by the glucose and oxygen supply, Cancer Res. 46, 3504-3512 (1986).
14. J.P. Freyer and R.M. Sutherland, Proliferative and clonogenic heterogeneity of cells from EMT6/Ro multi-cellular spheroids induced by the glucose and oxygen supply, Cancer Res. 46, 3513-3520 (1986).
15. J.P. Freyer and P.L. Schor, Regrowth of cells from multicell tumour spheroids, Cell Tissue Kinet. 20. 249 (1987).