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Models for the growth of a solid tumor by diffusion. (English) Zbl 0257.92001


MSC:

92B05 General biology and biomathematics
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References:

[1] Burton, Rate of growth of solid tumours as a problem of diffusion, Growth 30 pp 157– (1966)
[2] Carslaw, Conduction of Heat in Solids (1959)
[3] Crank, The Mathematics of Diffusion (1956)
[4] Folkman, Tumor angiogenesis: therapeutic implications, New Eng. J. of Med. 285 pp 1182– (1971) · doi:10.1056/NEJM197111182852108
[5] Folkman , J. Anti-angiogenesis: new concept for therapy of solid tumors Ann. Surg. (in press) · doi:10.1097/00000658-197203000-00014
[6] Folkman, Isolation of a tumor factor responsible for angiogenesis, J. Exp. Med. 133 pp 275– (1971) · doi:10.1084/jem.133.2.275
[7] Hill, The diffusion of oxygen and lactic acid through tissues, Proc. Roy. Soc. Lind. B. 104 pp 39– (1928) · doi:10.1098/rspb.1928.0064
[8] Inch, Growth of nodular carcinomas in rodents compared with multi-cell spheroids in tissue culture, Growth 34 pp 271– (1970)
[9] Sutherland, A multi-component radiation survival curve using an in vitro turnover model, Int’l J. of Radiation Bio. 18 pp 491– (1970) · doi:10.1080/09553007014551401
[10] Sutherland, Growth of multicell spheroids in tissue culture as a model of nodular carcinomas, J. Nat. Cancer Inst. 46 pp 113– (1971)
[11] Thomlinson, The histological structure of some human lung cancers and the possible implications for radio therapy, Brit. J. Cancer 9 pp 539– (1995) · doi:10.1038/bjc.1955.55
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