Biomedical Engineering Reference
In-Depth Information
47. McElwain, D.L.S., Ponzo, P.J.: A model for the growth of a solid tumor with non-uniform
oxygen consumption. Math. Biosci. 35 , 267-279 (1977)
48. McElwain, D.L.S., Morris, L.E.: Apoptosis as a volume loss mechanism in mathematical
models of solid tumor growth. Math. Biosci. 39 , 147-157 (1978)
49. Mueller-Klieser, W.: Method for the determination of oxygen consumption rates and diffusion
coefficients in multicellular spheroids. Biophys. J. 46 , 343-348 (1984)
50. Mueller-Klieser, W.: Three dimensional cell cultures: From molecular mechanisms to clinical
applications. Am. J. Physiol. 273 , C1109-1123 (1997)
51. Mueller-Klieser, W.: Tumor biology and experimental therapeutics. Crit. Rev. Hematol. Oncol.
36 , 123-139 (2000)
52. Neeman, M., Jarrett, K.A., Sillerud, L.O., Freyer, J.P.: Self-diffusion of water in multicellular
spheroids measured by magnetic resonance microimaging. Cancer Res. 51 , 4072-4079 (1991)
53. Netti, P.A., Jain, R.K.: Interstitial transport in solid tumours. In: Preziosi, L. (ed.) Cancer
Modelling and Simulation. Chapman&Hall/CRC, Boca Raton (2003)
54. Please, C.P., Pettet, C.J., McElwain, D.L.S.: A new approach to modelling the formation of
necrotic regions in tumours. Appl. Math. Lett. 11 , 89-94 (1998)
55. Schaller, G., Meyer-Hermann, M.: Continuum versus discrete model: A comparison for
multicellular tumour spheroids. Phil. Trans. R. Soc. A 364 , 1443-1464 (2006)
56. Simeoni, M., Magni, P., Cammia, C., De Nicolao, G., Croci, V., Pesenti, E., Germani, M.,
Poggesi, I., Rocchetti, M.: Predictive pharmacokinetic-pharmacodynamic modeling of tumor
growth kinetics in xenograft models after administration of anticancer agents. Cancer Res. 64 ,
1094-1101 (2004)
57. Smallbone, K., Gatenby, R.A., Gillies, R.J., Maini, P.K., Gavaghan, D.J.: Metabolic changes
during carcinogenesis: Potential impact on invasiveness. J. Theor. Biol. 244 , 703-713 (2007)
58. Sutherland, R.M.: Cell and environment interactions in tumor microregions: the multicell
spheroid model. Science 240 , 177-184 (1988)
59. Sutherland, R.M., Durand, R.E.: Hypoxic cells in an in vitro tumour model. Int. J. Radiat. Biol.
23 , 235-246 (1973)
60. Tindall, M.J., Please, C.P., Peddle, M.J.: Modelling the formation of necrotic regions in
avascular tumours. Math. Biosci. 211 , 34-55 (2008)
61. Venkatasubramanian, R., Henson, M.A., Forbes, N.S.: Incorporating energy metabolism into a
growth model of multicellular tumor spheroids. J. Theor. Biol. 242 , 440-453 (2006)
62. Ward, J.P., King, J.R.: Mathematical modelling of avascular tumor growth II. Modelling growth
saturation. IMA J. Math. Appl. Med. Biol. 16 , 171-211 (1999)
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