Tumor Development Under Combination Treatments with Anti-angiogenic Therapies - Mathematical Methods and Models in Biomedicine - page 326

51. Panetta, J.C.: A mathematical model of breast and ovarian cancer treated with paclitaxel. Math.
Biosci. 146 , 89-113 (1997)
52. Peckham, M., Pinedo, H.M., Veronesi, U.: Oxford Textbook of Oncology. Oxford Medical
Publications, New York (1995)
53. Quinn, M.J., d'Onofrio, A., Moeller, B., Black, R., Martinez-Garcia, C., Moeller, H., Rahu,
M., Robertson, C., Schouten, L.J., La Vecchia, C., Boyle, P.: Cancer mortality trends in the EU
and acceding countries up to 2001. Ann. Oncol. 14 , 1148-1152 (2003)
54. Ribba, B., Marron, K., Agur, Z., Alarcın, T., Maini, P.K.: A mathematical model of Doxoru-
bicin treatment efficacy for non-Hodgkin's lymphoma: Investigation of the current protocol
through theoretical modelling results. Bull. Math. Biol. 67 , 79-99 (2005)
55. Schattler, H., Jankovic, M.: A synthesis of time-optimal controls in the presence of saturated
singular arcs. Forum Math. 5 , 203-241 (1993)
56. Schattler, H., Ledzewicz, U., Cardwell, B.: Robustness of optimal controls for a class of
mathematical models for tumor anti-angiogenesis. Math. Biosci. Eng. 8 , 355-369 (2011),
doi:10.3934/mbe.2011.8.355
57. Sole, R.V.: Phase transitions in unstable cancer cell populations. Eur. J. Phys. B 35 , 117-124
(2003)
58. Skipper, H.E.: On mathematical modeling of critical variables in cancer treatment (goals:
Better understanding of the past and better planning in the future). Bull. Math. Biol. 48 ,
253-278 (1986)
59. Swan, G.W.: Role of optimal control in cancer chemotherapy. Math. Biosci. 101 , 237-284
(1990)
60. Swierniak, A.: Optimal treatment protocols in leukemia - modelling the proliferation cycle.
In: Proceedings of 12th IMACS World Congress, vol. 4, pp. 170-172, Paris (1988)
61. Swierniak, A.: Cell cycle as an object of control. J. Biol. Syst. 3 , 41-54 (1995)
62. Swierniak, A.: Direct and indirect control of cancer populations. Bull. Pol. Acad. Sci. 56 ,
367-378 (2008)
63. Swierniak, A.: Comparison of six models of antiangiogenic therapy. Appl. Math. 36 , 333-348
(2009)
64. Swierniak, A., Kimmel, M., Smieja, J.: Mathematical modeling as a tool for planning anti-
cancer therapy, Eur. J. Pharmacol. 625 , 108-121 (2009)
65. Swierniak, A., Ledzewicz, U., Schattler, H.: Optimal control for a class of compartmental
models in cancer chemotherapy. Int. J. Appl. Math. Comput. Sci. 13 , 357-368 (2003)
66. Thames, H.D., Hendry, J.H.: Fractionation in Radiotherapy. Taylor and Francis, London (1987)
67. Ubezio, P., Cameron, D.: Cell killing and resistance in pre-operative breast cancer chemother-
apy. BMC Canc. 8 , 201ff (2008)
68. Wheldon, T.E.: Mathematical Models in Cancer Research. Hilger Publishing, Boston-

Philadelphia (1988)
69. Wijeratne, N.S., Hoo, K.A.: Understanding the role of the tumour vasculature in the transport
of drugs to solid cancer tumors. Cell Prolif. 40 , 283-301 (2007)
70. Yu, J.L., Rak, J.W.: Host microenvironment in breast cancer development: Inflammatory and
immune cells in tumour angiogenesis and arteriogenesis. Breast Canc. Res. 5 , 83-88 (2003)