Free Access
Issue |
Math. Model. Nat. Phenom.
Volume 7, Number 1, 2012
Cancer modeling
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Page(s) | 306 - 336 | |
DOI | https://doi.org/10.1051/mmnp/20127114 | |
Published online | 25 January 2012 |
- N. André, A. Rome, C. Coze, L. Padovani, E. Pasquier, L. Camoin, and J.-C. Gentet. Metronomic etoposide/cyclophosphamide/celecoxib regimen to children and adolescents with refractory cancer : a preliminary monocentric study. Clin. Therapeutics, 30 (2008), No. 7, 1336–1340. [CrossRef] [Google Scholar]
- D. Barbolosi, A. Benabdallah, F. Hubert, and F. Verga. Mathematical and numerical analysis for a model of growing metastatic tumors. Math. Biosci., 218 (2009), No. 1, 1–14. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
- D. Barbolosi, G. Freyer, J. Ciccolini, and A. Iliadis. Optimisation de la posologie et des modalités d’administration des agents cytotoxiques à l’aide d’un modèle mathématique. Bulletin du Cancer, 90 (2003), No. 2, 167–175. [PubMed] [Google Scholar]
- D. Barbolosi and A. Iliadis. Optimizing drug regimens in cancer chemotherapy : a simulation study using a pk–pd model. Comput. Biol. Med., 31 (2001), 157–172. [CrossRef] [PubMed] [Google Scholar]
- D. Barbolosi, F. Verga, A. Benabdallah, F. Hubert, C. Mercier, J. Ciccolini, and C. Faivre. Modélisation du rique d’évolution métastatique chez les patients supposés avoir une maladie localisée. Oncologie, 13 (2011), No. 8, 528–533. [CrossRef] [Google Scholar]
- S. Baruchel, M. Diezi, D. Hargrave, D. Stempak, J. Gammon, A. Moghrabi, MJ. Coppes, C.V. Fernandez, and E. Bouffet. Safety and pharmacokinetics of temozolomide using a dose-escalation, metronomic schedule in recurrent paediatric brain tumours. Eur. J. Cancer, 42 (2006), 2335–2342. [CrossRef] [PubMed] [Google Scholar]
- S. Benzekry. Mathematical analysis of a two-dimensional population model of metastatic growth including angiogenesis. J. Evol. Equ., 11 (2011), No. 1, 187. [CrossRef] [MathSciNet] [Google Scholar]
- S. Benzekry. Mathematical and numerical analysis of a model for anti-angiogenic therapy in metastatic cancers. M2AN, 46 (2012), No. 2, 207–237. [CrossRef] [EDP Sciences] [Google Scholar]
- S. Benzekry. Passing to the limit 2D-1D in a model for metastatic growth. To appear in J. Biol. Dyn., (2011), http://hal.archives-ouvertes.fr/hal-00521968/fr/. [Google Scholar]
- S. Benzekry and A. Benabdallah. An optimal control problem for anti-cancer therapies in a model for metastatic evolution. In preparation (2011), http://hal.archives-ouvertes.fr/hal-00521968/fr/. [Google Scholar]
- S. Benzekry, G. Chapuisat, J. Ciccolini, A. Erlinger, and Hubert F., A new mathematical model for optimizing the combination between anti-angiogenic and cytotoxic drugs in oncology. In preparation (2011), http://hal.archives-ouvertes.fr/hal-00641476/fr/. [Google Scholar]
- T. Browder, C. E. Butterfield, B. M. Kraling, B. Shi, B. Marshall, M. S. O’Reilly, and J. Folkman. Antiangiogenic scheduling of chemotherapy improves efficacy against experimental drug-resistant cancer. Cancer Res., 60 (2000), 1878–1886. [PubMed] [Google Scholar]
- R. Bruno, N. Vivier, J. C. Vergniol, S. L. De Phillips, G. Montay, and L. B. Sheiner. A population pharmacokinetic model for docetaxel (Taxotere) : model building and validation. J. Pharmacokinet Biopharm., 24 (1996), 153–172. [CrossRef] [PubMed] [Google Scholar]
- M. Casanova, A. Ferrari, G. Bisogno, J. H. Merks, G. L. De Salvo, C. Meazza, K. Tettoni, M. Provenzi, I. Mazzarino, and M. Carli. Vinorelbine and low-dose cyclophosphamide in the treatment of pediatric sarcomas : pilot study for the upcoming European Rhabdomyosarcoma Protocol. Cancer, 101 (2004), 1664–1671. [CrossRef] [PubMed] [Google Scholar]
- M. Chefrour, J. L. Fischel, P. Formento, S. Giacometti, R. M. Ferri-Dessens, H. Marouani, M. Francoual, N. Renee, C. Mercier, G. Milano, and J. Ciccolini. Erlotinib in combination with capecitabine (5’dFUR) in resistant pancreatic cancer cell lines. J. Chemother., 22 (2010), 129–133. [PubMed] [Google Scholar]
- L. M. Choi, B. Rood, N. Kamani, D. La Fond, R. J. Packer, M. R. Santi, and T. J. Macdonald. Feasibility of metronomic maintenance chemotherapy following high-dose chemotherapy for malignant central nervous system tumors. Pediatr. Blood Cancer, 50 (2008), 970–975. [Google Scholar]
- E. Comen, L. Norton, and J. Massague. Clinical implications of cancer self-seeding. Nat. Rev. Clin. Oncol., 8 (2011), 369–377. [PubMed] [Google Scholar]
- A. Devys, T. Goudon, and P. Laffitte. A model describing the growth and the size distribution of multiple metastatic tumors. Discret. and contin. dyn. syst. series B, 12 (2009), No. 4. [Google Scholar]
- A. d’Onofrio, A. Gandolfi, and A. Rocca. The dynamics of tumour-vasculature interaction suggests low-dose, time-dense anti-angiogenic schedulings. Cell Prolif., 42 (2009), 317–329. [CrossRef] [PubMed] [Google Scholar]
- J. M.L. Ebos, C. R. Lee, W. Crus-Munoz, G. A. Bjarnason, and J. G. Christensen. Accelerated metastasis after short-term treatment with a potent inhibitor of tumor angiogenesis. Cancer Cell, 15 (2009), 232–239. [CrossRef] [PubMed] [Google Scholar]
- J. Folkman. Antiangiogenesis : new concept for therapy of solid tumors, Ann. Surg., 175 (1972), 409–416. [CrossRef] [PubMed] [Google Scholar]
- A. Fontana, A. Falcone, L. Derosa, T. Di Desidero, R. Danesi, and G. Bocci. Metronomic chemotherapy for metastatic prostate cancer : a ’young’ concept for old patients ?. Drugs Aging, 27 (2010), 689–696. [Google Scholar]
- A. B. Francesconi, S. Dupre, M. Matos, D. Martin, B. G. Hughes, D. K. Wyld, and J. D. Lickliter. Carboplatin and etoposide combined with bevacizumab for the treatment of recurrent glioblastoma multiforme. J. Clin. Neurosci., 17 (2010), 970–974. [CrossRef] [PubMed] [Google Scholar]
- G. Gasparini, R. Longo, M. Fanelli, and B. A. Teicher. Combination of antiangiogenic therapy with other anticancer therapies : Results, challenges, and open questions. Journal of Clinical Oncology, 23 (2005), No. 6 1295–1311. [CrossRef] [Google Scholar]
- P. Hahnfeldt, J. Folkman, and L. Hlatky. Minimizing long-term tumor burden : the logic for metronomic chemotherapeutic dosing and its antiangiogenic basis. J. Theor. Biol., 220 (2003), 545–554. [Google Scholar]
- P. Hahnfeldt, D. Panigraphy, J. Folkman, and L. Hlatky. Tumor development under angiogenic signaling : a dynamical theory of tumor growth, treatment, response and postvascular dormancy. Cancer Research, 59 (1999), 4770–4775. [Google Scholar]
- A. Iliadis and D. Barbolosi. Optimizing drug regimens in cancer chemotherapy by an efficacy-toxicity mathematical model. Comput. Biomed. Res., 33 (2000), 211–226. [Google Scholar]
- K. Iwata, K. Kawasaki, and Shigesada N. A dynamical model for the growth and size distribution of multiple metastatic tumors. J. Theor. Biol., 203 (2000), 177–186. [Google Scholar]
- R. K. Jain. Normalizing tumor vasculature with anti-angiogenic therapy : A new paradigm for combination therapy. Nature Medicine, 7 (2001), 987–989. [Google Scholar]
- K. Jordan, H. H. Wolf, W. Voigt, T. Kegel, L. P. Mueller, T. Behlendorf, C. Sippel, D. Arnold, and H. J. Schmoll. Bevacizumab in combination with sequential high-dose chemotherapy in solid cancer, a feasibility study. Bone Marrow Transplant., 45 (2010), 1704–1709. [CrossRef] [PubMed] [Google Scholar]
- R.S. Kerbel and B.A. Kamen. The anti-angiogenic basis of metronomic chemotherapy. Nature Reviews Cancer, 4 (2004), 423–436. [CrossRef] [PubMed] [Google Scholar]
- M. W. Kieran, C. D. Turner, J. B. Rubin, S.N. Chi, M.A. Zimmerman, C. Chordas, G. Klement, A. Laforme, A. Gordon, A. Thomas, D. Neuber, T. Browder, and J. Folkman. A feasibility trial of antiangiogenic (metronomic) chemotherapy in pediatric patients with recurrent or progressive cancer. J. Pediatr. Hematol. Oncol., 27 (2005), No. 11, 573–581. [CrossRef] [PubMed] [Google Scholar]
- S. Koscielny, M. Tubiana, M. G. Le, A. J. Valleron, H. Mouriesse, G. Contesso, and D. Sarrazin. Breast cancer : relationship between the size of the primary tumour and the probability of metastatic dissemination. Br. J. Cancer, 49 (1984), 709–715. [CrossRef] [PubMed] [Google Scholar]
- J. F. Lu, R. Bruno, S. Eppler, W. Novotny, B. Lum, and J. Gaudreault. Clinical pharmacokinetics of bevacizumab in patients with solid tumors. Cancer Chemother. Pharmacol., 62 (2008), 779–786. [Google Scholar]
- C. Meille, J. C. Gentet, D. Barbolosi, N. Andre, F. Doz, and A. Iliadis. New adaptive method for phase I trials in oncology. Clin. Pharmacol. Ther., 83 (2008), 873–881. [CrossRef] [PubMed] [Google Scholar]
- C. Meille, A. Iliadis, D. Barbolosi, N. Frances, and G. Freyer. An interface model for dosage adjustment connects hematotoxicity to pharmacokinetics. J. Pharmacokinet. Pharmacodyn., 35 (2008), 619–633. [CrossRef] [PubMed] [Google Scholar]
- M. Paez-Ribes, E. Allen, J. Hudock, T. Takeda, H. Okuyama, F. Vinals, M. Inoue, G. Bergers, D. Hanahan, and O. Casanovas. Antiangiogenic therapy elicits malignant progression of tumors to increased local invasion and distant metastasis. Cancer Cell, 15 (2009), 220–231. [Google Scholar]
- E. Pasquier, M. Kavallaris, and N. Andre. Metronomic chemotherapy : new rationale for new directions. Nat. Rev. Clin. Oncol., 7 (2010), 455–465. [CrossRef] [PubMed] [Google Scholar]
- D. A. Reardon, A. Desjardins, K. Peters, S. Gururangan, J. Sampson, J. N. Rich, R. McLendon, J. E. Herndon, J. Marcello, S. Threatt, A. H. Friedman, J. J. Vredenburgh, and H. S. Friedman. Phase II study of metronomic chemotherapy with bevacizumab for recurrent glioblastoma after progression on bevacizumab therapy. J. Neurooncol., 103 (2011), 371–379. [CrossRef] [PubMed] [Google Scholar]
- A. R. Reynolds. Potential relevance of bell-shaped and u-shaped dose-responses for the therapeutic targeting of angiogenesis in cancer. Dose-Response, 8 (2010), 253–284. [CrossRef] [Google Scholar]
- G. J. Riely, N. A. Rizvi, M. G. Kris, D. T. Milton, D. B. Solit, N. Rosen, E. Senturk, C. G. Azzoli, J. R. Brahmer, F. M. Sirotnak, V. E. Seshan, M. Fogle, M. Ginsberg, Miller V. A., and C. M. Rudin. Randomized phase ii study of pulse erlotinib before or after carboplatin and paclitaxel in current or former smokers with advanced non-small-cell lung cancer. J. Clin. Oncol., 27 (2009), No. 2, 264–270. [CrossRef] [PubMed] [Google Scholar]
- D. R. Spigel, P. M. Townley, D. M. Waterhouse, L. Fang, I. Adiguzel, J. E. Huang, D. A. Karlin, L. Faoro, F. A. Scappaticci, and M. A. Socinski. Randomized Phase II Study of Bevacizumab in Combination With Chemotherapy in Previously Untreated Extensive-Stage Small-Cell Lung Cancer : Results From the SALUTE Trial. J. Clin. Oncol., 29 (2011), 2215–2222. [CrossRef] [PubMed] [Google Scholar]
- D. Stempak, J. Gammon, J. Halton, A. Moghrabi, G. Koren, and S. Baruchel. A pilot pharmacokinetic and antiangiogenic biomarker study of celecoxib and low-dose metronomic vinblastine or cyclophosphamide in pediatric recurrent solid tumors. J. Pediatr. Hematol. Oncol., 28 (2006), 720–728. [CrossRef] [PubMed] [Google Scholar]
- J. Sterba, D. Valik, P. Mudry, T. Kepak, Z. Pavelka, V. Bajciova, K. Zitterbart, V. Kadlecova, and P. Mazanek. Combined biodifferentiating and antiangiogenic oral metronomic therapy is feasible and effective in relapsed solid tumors in children : single-center pilot study. Onkologie, 29 (2006), 308–313. [CrossRef] [PubMed] [Google Scholar]
- F. Verga. Modélisation mathématique de processus métastatiques. Ph.D. thesis, Université de Provence, 2010. [Google Scholar]
- P. Viens, H. Roche, P. Kerbrat, P. Fumoleau, J. P. Guastalla, and T. Delozier. Epirubicin–docetaxel combination in first-line chemotherapy for patients with metastatic breast cancer : final results of a dose-finding and efficacy study. Am. J. Clin. Oncol., 24 (2001), 328–335. [CrossRef] [PubMed] [Google Scholar]
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