Tumour modelling references

Alarcon, T., Byrne, H.M. and Maini, P.K. (2003).: A cellular automaton model for tumour growth in an inhomogeneous environment. J. theor. Biol. 225: 257-274.
Alarcon, T., Byrne, H.M. and Maini, P.K. (2004).: Towards whole organ modelling of tumour growth. Prog. Biophys. Mol. Biol. 85: 451-472.
Alarcon, T., Byrne, H.M. and Maini, P.K. (2003).: A mathematical model of the effects of hypoxia on the cell-cycle of normal and cancer cells. J. theor. Biol. 229: 395-411.
Anderson, A.R.A. and Chaplain, M.A.J. (1998).: Continuous and discrete mathematical models of tumour-induced angiogenesis. Bull. Math. Biol. 60: 857-899.
Byrne, H.M., et al. (2003).: A two-phase model of solid tumour growth. Appl. Math. Lett. 16: 567-573.
Franks, L.M. and Teich, N. (1988).: Introduction to the cellular and molecular biology of cancer. Oxford Science Publications.
Franks, S.J., et al. (2003).: Modelling the early growth of ductal carcinoma in situ of the breast. J. Math. Biol. 47: 424-452.
Gaffney, E.A. (2004).: The application of mathematical modelling to aspects of adjuvant chemotherapy scheduling . J. Math. Biol. 48: 375-422.
Greenspan, H.P. (1976).: On the growth and stability of cell cultures and solid tumours. J. theor. Biol. 56: 229-242.
Helmlinger, G. et al. (1997).: Solid stress inhibits the growth of multicellular tumour spheroids. NatureBiotech. 15: 778-783.
Preziosi, L. (2003).: Cancer modelling and simulation. CRC Press, UK.
Swanson, K.R., Alvord, E.C. And Murray, J.D. (2000).: A quantitative model for differential motility of gliomas in grey and white matter. Cell. Prolif. 33: 317-329.
Ward, J.P. and King, J.R. (1997).: Mathematical modelling of avascular-tumour growth. IMA J. Math. Appl. Med. 14: 39-69.
Webb, S.D., Sherratt, J.A. and Fish, R.G. (1999).: Alterations in proteolytic activity at low pH and its association with invasion a theoretical model. Clin. Exp. Metast. 17: 397-407.
Gaffney, E.A. (2004).: The Mathematical Modelling of Adjuvant Chemotherapy Scheduling: Incorporating the Effects of Protocol Rest Phases and Pharmacokinetics. Bull. Math. Bio, In Press. 54 pages. Available electronically doi:10.1016/j.bulm.2004.09.002

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