Metronomic scheduling of anticancer treatment: the next generation of multitarget therapy?, Future Oncology, vol.7, issue.3, pp.385-94, 2011. ,
DOI : 10.2217/fon.11.11
A mathematical model of tumour-induced capillary growth, Journal of Theoretical Biology, vol.114, issue.1, pp.53-73, 1985. ,
DOI : 10.1016/S0022-5193(85)80255-1
Optimizing drug regimens in cancer chemotherapy: a simulation study using a PK???PD model, Computers in Biology and Medicine, vol.31, issue.3, pp.157-172, 2001. ,
DOI : 10.1016/S0010-4825(00)00032-9
Safety and pharmacokinetics of temozolomide using a dose-escalation, metronomic schedule in recurrent paediatric brain tumours, European Journal of Cancer, vol.42, issue.14, pp.2335-2342, 2006. ,
DOI : 10.1016/j.ejca.2006.03.023
Modeling the Impact of Anticancer Agents on Metastatic Spreading, Mathematical Modelling of Natural Phenomena, vol.7, issue.1, pp.306-336, 2012. ,
DOI : 10.1051/mmnp/20127114
URL : https://hal.archives-ouvertes.fr/hal-00657724
A new mathematical model for optimizing the combination between antiangiogenic and cytotoxic drugs in oncology, Comptes Rendus de l'Académie des Sciences -Series I -Mathematics, pp.23-28 ,
DOI : 10.1016/j.crma.2011.11.019
URL : https://hal.archives-ouvertes.fr/hal-00641476
Synchronisation and control of proliferation in cycling cell population models with age structure, Mathematics and Computers in Simulation, vol.96, 2012. ,
DOI : 10.1016/j.matcom.2012.03.005
URL : https://hal.archives-ouvertes.fr/hal-00662885
A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy, Journal of Theoretical Biology, vol.260, issue.4, pp.545-562, 2009. ,
DOI : 10.1016/j.jtbi.2009.06.026
URL : https://hal.archives-ouvertes.fr/inria-00440447
Computational Modeling of Solid Tumor Growth: The Avascular Stage, SIAM Journal on Scientific Computing, vol.32, issue.4, pp.2321-2344, 2010. ,
DOI : 10.1137/070708895
URL : https://hal.archives-ouvertes.fr/inria-00148610
A Multiphase Model Describing Vascular Tumour Growth, Bulletin of Mathematical Biology, vol.65, issue.4, pp.609-640, 2003. ,
DOI : 10.1016/S0092-8240(03)00027-2
Antiangiogenic scheduling of chemotherapy improves efficacy against experimental drug-resistant cancer, Cancer Res, vol.60, issue.7, pp.1878-1886, 2000. ,
Growth of nonnecrotic tumors in the presence and absence of inhibitors, Mathematical Biosciences, vol.130, issue.2, pp.151-181, 1995. ,
DOI : 10.1016/0025-5564(94)00117-3
Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions, Bulletin of Mathematical Biology, vol.60, issue.3, pp.461-486, 1995. ,
DOI : 10.1007/BF02460635
The mathematical modelling of tumour angiogenesis and invasion, Acta Biotheoretica, vol.53, issue.4, pp.387-402, 1995. ,
DOI : 10.1007/BF00713561
A mathematical analysis of a model for tumour angiogenesis, Journal of Mathematical Biology, vol.33, issue.7, pp.744-770, 1995. ,
DOI : 10.1007/BF00184647
Mathematical modeling of tumor-induced angiogenesis, Annu Rev Biomed Eng, 2006. ,
A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor, Mathematical Medicine and Biology, vol.10, issue.3, pp.149-168, 1993. ,
DOI : 10.1093/imammb/10.3.149
The efficacy of temozolomide for recurrent glioblastoma multiforme, European Journal of Neurology, vol.6, issue.2, pp.223-253, 2013. ,
DOI : 10.1111/j.1468-1331.2012.03778.x
Advection-diffusion models for solid tumour evolution in vivo and related free boundary problem, Math. Models Methods Appl. Sci, vol.10, issue.3, pp.379-407, 2000. ,
Optimal Scheduling of Radiotherapy and Angiogenic Inhibitors, Bulletin of Mathematical Biology, vol.65, issue.3, pp.407-424, 2003. ,
DOI : 10.1016/S0092-8240(03)00006-5
Finite volume methods, VII, Handb. Numer. Anal., VII, pp.713-1020, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00346077
On determining the mtd for phase I trials in pediatric oncology, Curr Top Med Chem, 2012. ,
Tumor angiogenesis: therapeutic implications, N Engl J Med, vol.285, issue.21, pp.1182-1186, 1971. ,
Anti-Angiogenesis, Annals of Surgery, vol.175, issue.3, pp.1971-1972 ,
DOI : 10.1097/00000658-197203000-00014
What Is the Evidence That Tumors Are Angiogenesis Dependent?, JNCI Journal of the National Cancer Institute, vol.82, issue.1, 1990. ,
DOI : 10.1093/jnci/82.1.4
Prediction of Drug Response in Breast Cancer Using Integrative Experimental/Computational Modeling, Cancer Research, vol.69, issue.10, pp.694484-4492, 2009. ,
DOI : 10.1158/0008-5472.CAN-08-3740
Dose-Dense Temozolomide for Newly Diagnosed Glioblastoma: A Randomized Phase III Clinical Trial, Journal of Clinical Oncology, vol.31, issue.32, 2013. ,
DOI : 10.1200/JCO.2013.49.6968
Role of optimal control theory in cancer chemotherapy, Mathematical Biosciences, vol.101, issue.2, pp.237-284, 1990. ,
DOI : 10.1016/0025-5564(90)90021-P
Minimizing Long-Term Tumor Burden: The Logic for Metronomic Chemotherapeutic Dosing and its Antiangiogenic Basis, Journal of Theoretical Biology, vol.220, issue.4, pp.545-554, 2003. ,
DOI : 10.1006/jtbi.2003.3162
Tumor development under angiogenic signaling: a dynamical theory of tumor growth, treatment response, and postvascular dormancy, Cancer Res, pp.594770-4775, 1999. ,
Less is more, regularly: metronomic dosing of cytotoxic drugs can target tumor angiogenesis in mice, Journal of Clinical Investigation, vol.105, issue.8, pp.1045-1047, 2000. ,
DOI : 10.1172/JCI9872
Patterns and Emerging Mechanisms of the Angiogenic Switch during Tumorigenesis, Cell, vol.86, issue.3, pp.353-64, 1996. ,
DOI : 10.1016/S0092-8674(00)80108-7
Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method, Journal of Mathematical Biology, vol.67, issue.1, pp.86-134, 2006. ,
DOI : 10.1007/s00285-006-0378-2
Optimizing Drug Regimens in Cancer Chemotherapy by an Efficacy???Toxicity Mathematical Model, Computers and Biomedical Research, vol.33, issue.3, pp.211-226, 2000. ,
DOI : 10.1006/cbmr.2000.1540
Vascular tumor growth and treatment: Consequences of polyclonality, competition and dynamic vascular support, Journal of Mathematical Biology, vol.44, issue.3, pp.201-226, 2002. ,
DOI : 10.1007/s002850100118
A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy, Mathematical Biosciences, vol.164, issue.1, pp.17-38, 2000. ,
DOI : 10.1016/S0025-5564(99)00062-0
Minimal model for tumor angiogenesis, Physical Review E, vol.73, issue.6, p.61926, 2006. ,
DOI : 10.1103/PhysRevE.73.061926
Continuous low-dose therapy with vinblastine and VEGF receptor-2 antibody induces sustained tumor regression without overt toxicity, Journal of Clinical Investigation, vol.105, issue.8, pp.15-24, 2000. ,
DOI : 10.1172/JCI8829
Optimal and suboptimal protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy, Mathematical Biosciences and Engineering, vol.8, issue.2, pp.307-323, 2011. ,
DOI : 10.3934/mbe.2011.8.307
URL : https://hal.archives-ouvertes.fr/inria-00636033
The growth and progression of human tumors: Implications for management strategy, Radiotherapy and Oncology, vol.6, issue.3, pp.167-84, 1986. ,
DOI : 10.1016/S0167-8140(86)80151-7
TUMOR ANGIOGENESIS BASED ANALYTICAL MODEL FOR THE ASSESSMENT OF MCT AND MTD CHEMOTHERAPEUTIC STRATEGIES IN CANCER, Journal of Biological Systems, vol.18, issue.04, pp.749-761, 2010. ,
DOI : 10.1142/S0218339010003482
PATHO-PHYSIOLOGICALLY BASED LOGISTICS FOR TREATMENT OF CANCER, Journal of Biological Systems, vol.14, issue.04, pp.631-650, 2006. ,
DOI : 10.1142/S0218339006001969
New Adaptive Method for Phase I Trials in Oncology, Clinical Pharmacology & Therapeutics, vol.15, issue.6, pp.873-881, 2008. ,
DOI : 10.1038/sj.clpt.6100383
Mathematical modelling for the assessment of the effect of drug application delays in metronomic chemotherapy of cancer due to physiological constraints, Biosystems, vol.91, issue.1, pp.108-116, 2008. ,
DOI : 10.1016/j.biosystems.2007.08.002
Phase 2 study of temozolomide in children and adolescents with recurrent central nervous system tumors, Cancer, vol.23, issue.7, pp.1101542-50, 2007. ,
DOI : 10.1002/cncr.22961
Arima Ki-67 as a prognostic marker according to breast cancer subtype and a predictor of recurrence time in primary breast cancer, Exp Ther Med, vol.1, issue.5, pp.747-754, 2010. ,
Rapidly acting antitumoral antiangiogenic therapies, Physical Review E, vol.76, issue.3, p.31920, 2007. ,
DOI : 10.1103/PhysRevE.76.031920
Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999), Mathematical Biosciences, vol.191, issue.2, pp.159-184, 1999. ,
DOI : 10.1016/j.mbs.2004.06.003
A family of models of angiogenesis and anti-angiogenesis anti-cancer therapy, Mathematical Medicine and Biology, vol.26, issue.1, pp.63-95, 2009. ,
DOI : 10.1093/imammb/dqn024
A mathematical model of vascular tumour growth and invasion, Mathematical and Computer Modelling, vol.23, issue.10, pp.43-60, 1996. ,
DOI : 10.1016/0895-7177(96)00053-2
Metronomic chemotherapy: new rationale for new directions, Nature Reviews Clinical Oncology, vol.1805, issue.8, pp.455-465, 2010. ,
DOI : 10.1038/nrclinonc.2010.82
A mathematical model of tumour angiogenesis, regulated by vascular endothelial growth factor and the angiopoietins, Journal of Theoretical Biology, vol.229, issue.4, pp.435-454, 2004. ,
DOI : 10.1016/j.jtbi.2004.04.012
Ki67 proliferation in core biopsies versus surgical samples - a model for neo-adjuvant breast cancer studies, BMC Cancer, vol.26, issue.31, p.341, 2011. ,
DOI : 10.1200/JCO.2007.14.6597
Modelling the Role of Angiogenesis and Vasculogenesis in Solid Tumour Growth, Bulletin of Mathematical Biology, vol.197, issue.12, pp.2737-2772, 2007. ,
DOI : 10.1007/s11538-007-9253-6
Optimal control problems arising in cell-cycle-specific cancer chemotherapy, Cell Proliferation, vol.41, issue.3, pp.117-139, 1996. ,
DOI : 10.1002/cyto.990110214
Nonlinear analysis of a model of vascular tumour growth and treatment, Nonlinearity, vol.17, issue.3, pp.867-895, 2004. ,
DOI : 10.1088/0951-7715/17/3/008
A mechanistic model predicting hematopoiesis and tumor growth to optimize docetaxel + epirubicin (et) administration in metastatic breast cancer (mbc): Phase i trial, ASCO Annual Meeting, 2007. ,
ANGIOGENESIS AND TUMOR METASTASIS, Annual Review of Medicine, vol.49, issue.1, pp.407-84, 1998. ,
DOI : 10.1146/annurev.med.49.1.407
Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method, Bulletin of Mathematical Biology, vol.67, issue.2, pp.211-259, 2005. ,
DOI : 10.1016/j.bulm.2004.08.001