Optimisation of Cancer Drug Treatments Using Cell Population Dynamics - Mathematical Methods and Models in Biomedicine - page 295

32. Byrne, H.M., Chaplain, M.A.: Growth of nonnecrotic tumors in the presence and absence of
inhibitors. Math. Biosci. 130 (2), 151-181 (1995)
33. Byrne, H.M., Chaplain, M.A.: Growth of necrotic tumors in the presence and absence of
inhibitors. Math. Biosci. 135 (15), 187-216 (1996)
34. Byrne, H., Alarc on, T., Owen, M., Webb, S., Maini, P.: Modelling aspects of cancer dynamics:
A review. Phil. Trans. Roy. Soc. A 364 , 1563-1578 (2006)
35. Clairambault, J.: Modelling oxaliplatin drug delivery to circadian rhythm in drug metabolism
and host tolerance. Adv. Drug Deliv. Rev. 59 , 1054-1068 (2007)
36. Clairambault, J.: A step toward optimization of cancer therapeutics. physiologically based
modelling of circadian control on cell proliferation. IEEE-EMB Mag. 27 , 20-24 (2008)
37. Clairambault, J.: Modelling physiological and pharmacological control on cell proliferation
to optimise cancer treatments. Math. Model. Nat. Phenom. 4 , 12-67 (2009)
38. Clairambault, J.: Optimising cancer pharmacotherapeutics using mathematical modelling and
a systems biology approach. Personalized Medicine 8 , 271-286 (2011)
39. Clairambault, J., Laroche, B., Mischler, S., Perthame, B.: A mathematical model of the cell
cycle and its control. Technical report, Number 4892, INRIA, Domaine de Voluceau, BP 105,
78153 Rocquencourt, France (2003)
40. Clairambault, J., Gaubert, S., Lepoutre, T.: Comparison of Perron and Floquet eigenvalues in
age structured cell division models. Math. Model. Nat. Phenom. 4 , 183-209 (2009)
41. Clairambault, J., Gaubert, S., Lepoutre, T.: Circadian rhythm and cell population growth.
Math. Comput. Model. 53 , 1558-1567 (2011)
42. Clairambault, J., Hochberg, M., Lorenzi, T., Lorz, A, Perthame, B.: Populational adaptive
evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Math. Model.
Numer. Anal. accepted, 2012.
43. Cui, S., Friedman, A.: Analysis of a mathematical model of the effect of inhibitors on the
growth of tumor. Math. Biosci. 164 , 103-137 (2000)
44. Cunningham, D., Humblet, Y., Siena, S., Khayat, D., Bleiberg, H., Santoro, A., Bets, D.,
Mueser, M., Harstrick, A., Verslype, C., Chau, I., Van Cutsem, E.: Cetuximab monotherapy
and cetuximab plus irinotecan in irinotecan-refractory metastatic colorectal cancer. N. Engl.
J. Med. 351 , 337-345 (2004)
45. Deakin, A.S.: Model for the growth of a solid in vitro tumor. Growth 39 (1), 159-165 (1975)
46. d'Onofrio, A.: Rapidly acting antitumoral antiangiogenic therapies. Phys. Rev. E Stat. Nonlin.
Soft Matter Phys. 76 (3 Pt 1), 031920 (2007)
47. d'Onofrio, A., Gandolfi, A.: Tumour eradication by antiangiogenic therapy: analysis and
extensions of the model by Hahnfeldt et al. (1999). Math. Biosci. 191 , 159-184 (2004)
48. d'Onofrio, A., Gandolfi, A.: A family of models of angiogenesis and anti-angiogenesis anti-
cancer therapy. Math. Med. Biol. 26 (1), 63-95 (2009)
49. d'Onofrio, A., Ledzewicz, U., Maurer, H., Schattler, H.: On optimal delivery of combination
therapy for tumors. Math. Biosci. 222 , 13-26 (2009)
50. Doumic, M., Perthame, B., Zubelli, J.: Numerical solution of an inverse problem in size-
structured population dynamics. Inverse Problems 25 , 045008 (25pp) (2009)
51. Doumic, M., Maia, P., Zubelli, J.: On the calibration of a size-structured population model
from experimental data. Acta Biotheor. 58 , 405-413 (2010)
52. Doumic, M., Hoffmann, M., Reynaud, P., Rivoirard, V.: Nonparametric estimation of the
division rate of a size-structured population. SIAM J. Num. Anal. 50 (2), 925-950 (2012)
53. Druker, B., Talpaz, M., Resta, D., Peng, B., Buchdunger, E., Ford, J., Lydon, N., Kantarjian,
H., Capdeville, R., Ohno-Jones, S., Sawyers, C.: Efficacy and safety of a specific inhibitor of
the bcr-abl tyrosine kinase in chronic myeloid leukemia. N. Engl. J. Med. 344 , 1031-1037
(2001)
54. Dua, P., Dua, V., Pistikopoulos, E.: Optimal delivery of chemotherapeutic agents in cancer.
Comp. Chem. Eng. 32 , 99-107 (2008)
55. Ergun, A., Camphausen, K., Wein, L.M.: Optimal scheduling of radiotherapy and angiogenic
inhibitors. Bull. Math. Biol. 65 (3), 407-424 (2003)