Pancreatic tumor growth is regulated by the balance 350 between positive and negative modulators of angiogenesis, Angiogenesis, vol.5, issue.3, pp.181-190, 2002. ,
DOI : 10.1023/A:1023893931057
Controlling tumor growth by modulating endogenous production of reactive oxygen species, Cancer Research, vol.65, pp.948-956, 2005. ,
Immune Microenvironment in Tumor Progression: Characteristics and Challenges for Therapy, Journal of Oncology, vol.62, issue.23, p.608406, 2012. ,
DOI : 10.1038/nrc1613
Metronomic chemotherapy and anti-angiogenesis: can upgraded pre-clinical assays improve clinical trials aimed at controlling tumor growth?, APMIS, vol.18, issue.7, pp.565-579, 2014. ,
DOI : 10.1091/mbc.E06-07-0596
URL : http://onlinelibrary.wiley.com/doi/10.1111/apm.12201/pdf
Treatment-induced damage to the tumor microenvironment promotes prostate cancer therapy resistance through WNT16B, Nature Medicine, vol.52, issue.9, pp.1359-1368, 2012. ,
DOI : 10.1101/gad.17276711
URL : https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3677971/pdf
The Tumor Dormant State, Advances in Cancer Research, vol.34, pp.107-140, 1981. ,
DOI : 10.1016/S0065-230X(08)60240-7
Why don't we get more cancer? A proposed role of the microenvironment in restraining cancer progression, Nature Medicine, vol.23, issue.3, pp.320-329, 2011. ,
DOI : 10.1200/JCO.2005.11.030
Interactions Between the Immune System and Cancer: A??Brief Review of??Non-spatial Mathematical Models, Bulletin of Mathematical Biology, vol.39, issue.5, pp.2-32, 2011. ,
DOI : 10.1002/eji.200839152
Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis, Bulletin of Mathematical Biology, vol.2, issue.2, pp.295-321, 1994. ,
DOI : 10.1007/978-1-4757-4067-7
Modeling the immunotherapy of tumor-immune interaction Special issue on Mathematical models for the growth, development and treatment of tumors, J. Math. Biol. Chaplain MAJ Mathematical Models and Methods in Applied Science, vol.3712, issue.9, pp.235-252, 1998. ,
Dynamics of the tumor-tmmune system competition: The effect of the time delay ,
The dynamics of an optimally controlled tumor model: A case study, Mathematical and Computer Modelling, vol.37, issue.11, p.380 ,
DOI : 10.1016/S0895-7177(03)00133-X
Mixed immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations, Journal of Theoretical Biology, vol.238, issue.4, pp.841-862, 2006. ,
DOI : 10.1016/j.jtbi.2005.06.037
tumor control induced via alternating immunostimulating and immunosuppressive phases, Virulence, vol.114, issue.2, pp.174-186, 2016. ,
DOI : 10.1016/S0140-6736(08)60241-X
URL : http://www.tandfonline.com/doi/pdf/10.1080/21505594.2015.1076614?needAccess=true
CHAOS IN A THREE-DIMENSIONAL CANCER MODEL, International Journal of Bifurcation and Chaos, vol.20, issue.01, pp.71-79, 2010. ,
DOI : 10.1088/0951-7715/19/10/006
What can be learned from a chaotic cancer model?, Journal of Theoretical Biology, vol.322, pp.7-16, 2013. ,
DOI : 10.1016/j.jtbi.2013.01.003
A cancer model for the angiogenic switch, Journal of Theoretical Biology, vol.360, p.390 ,
DOI : 10.1016/j.jtbi.2014.06.020
URL : https://hal.archives-ouvertes.fr/hal-01544737
Angiogenesis in cancer, vascular, rheumatoid and other disease, Nature Medicine, vol.326, issue.1, pp.27-31, 1995. ,
DOI : 10.1056/NEJM199205283262203
Cancer as an evolutionary and ecological process, Nature Reviews Cancer, vol.695, issue.12, pp.924-935, 2006. ,
DOI : 10.1007/BF00377518
Interactions between cancer stem cells and their niche govern metastatic colonization, Nature, vol.111, issue.7379, pp.85-89, 2012. ,
DOI : 10.1182/blood-2007-07-102558
The effect of time delays on the dynamics of avascular tumor growth, Mathematical Biosciences, vol.144, issue.2, pp.83-117, 1997. ,
DOI : 10.1016/S0025-5564(97)00023-0
A delay differential equation model for tumor growth, Journal of Mathematical Biology, vol.47, issue.3, pp.270-294, 2003. ,
DOI : 10.1007/s00285-003-0211-0
Stability and bifurcation analysis in a basic model of the immune response with delays, Chaos, Solitons & Fractals, vol.41, issue.3, pp.1223-1234, 2009. ,
DOI : 10.1016/j.chaos.2008.05.007
Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by, Math. Biosci, vol.191, pp.159-184, 1999. ,
Bifurcations in Delay Differential Equations and Applications to Tumor and Immune System Interaction Models, SIAM Journal on Applied Dynamical Systems, vol.12, issue.4, pp.1847-1888, 2013. ,
DOI : 10.1137/120887898
Periodic and chaotic oscillations in a tumor and immune system interaction model with three delays, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.24, issue.2, p.23101, 2014. ,
DOI : 10.1016/j.chaos.2008.05.007
Stability and bifurcation analysis of delay induced tumor immune interaction model, Applied Mathematics and Computation, vol.248, pp.652-671, 2014. ,
DOI : 10.1016/j.amc.2014.10.009
Tumor response to radiotherapy regulated by endothelial cell apoptosis, Science, vol.300, pp.1155-1159, 2003. ,
Cancer-associated adipocytes promotes breast tumor radioresistance, Biochemical and Biophysical Research Communications, pp.102-106, 2011. ,
DOI : 10.1016/j.bbrc.2011.06.101
Delay-induced oscillatory dynamics of tumourimmune system interaction, Math. Comput. Modelling, vol.51, pp.572-591, 2010. ,
An immune system???tumour interactions model with discrete time delay: Model analysis and validation, Communications in Nonlinear Science and Numerical Simulation, vol.34, pp.185-198, 1988. ,
DOI : 10.1016/j.cnsns.2015.10.022
URL : http://arxiv.org/pdf/1505.02030
Introduction to Applied Nonlinear Dynamical Systems and Chaos, 1990. ,
Safety and activity of anti-PD-L1 antibody in patients with advanced cancer, N. Engl. J. Med, vol.366, p.2455, 2012. ,
Nivolumab versus Docetaxel in advanced squamous-cell non-small-cell lung cancer, N. Engl. J. Med, vol.373, p.123, 2015. ,
Cancer therapeutic potential of combinatorial immuno- and vasomodulatory interventions, Journal of The Royal Society Interface, vol.2012, issue.112, p.20150439, 2015. ,
DOI : 10.1155/2012/948098
URL : http://rsif.royalsocietypublishing.org/content/royinterface/12/112/20150439.full.pdf
Simultaneous activation of T cells and accessory cells by a new class of intact bispecific antibody results in efficient tumor cell killing, J. Immunol, vol.163, pp.1246-1252, 1999. ,
Cytokines and their relationship to the symptoms and outcome of cancer, Nature Reviews Cancer, vol.5, issue.11, pp.887-899, 2008. ,
DOI : 10.1158/1055-9965.EPI-07-0651
Alterations in signal transduction molecules in T lymphocytes from tumor-bearing mice, Science, vol.258, issue.5089, pp.1795-1798, 1992. ,
DOI : 10.1126/science.1465616
Mechanisms of Immune Evasion by Tumors, p.455 ,
DOI : 10.1016/S0065-2776(06)90002-9
Cancer immunotherapy comes of age, Nature, vol.9, issue.7378, pp.480-489, 1996. ,
DOI : 10.1038/nri2506
Numerical analysis: a mathematical introduction, 2002. ,
The need for complex 3D culture models to unravel novel pathways and identify accurate biomarkers in breast cancer, Advanced Drug Delivery Reviews, vol.69, issue.70, pp.69-70, 2014. ,
DOI : 10.1016/j.addr.2014.01.001
Evolutionary aspects of cancer resistance, Seminars in Cancer Biology, pp.10-14, 2014. ,
On the zeros of transcendental functions with applications to stability of delay differential equations with two delays, Dynamics of Continuous, Discrete and Impulsive Systems A 10, pp.863-874, 2003. ,
The trade-off between mutual interference and time lags in predator-prey systems, Bulletin of Mathematical Biology, vol.22, issue.6, pp.991-1004, 1983. ,
DOI : 10.1101/SQB.1957.022.01.031
Theory and Application of Hopf Bifurcation, p.475, 1981. ,
Neue methoden zur approximativen integration der differentialgleichungen einerunabhängigen Veränderlichen, Zeitschrift für angewandte Mathematik und Physik, pp.23-38, 1900. ,
On the zeros of some transcendental equations, Funkcialaj Ekvacioj, vol.29, pp.77-90, 1986. ,
Spatial avascular growth of tumor in a homogeneous environment, Journal of Theoretical Biology, vol.416, pp.99-112, 2016. ,
DOI : 10.1016/j.jtbi.2016.12.011
URL : https://hal.archives-ouvertes.fr/hal-01611148
Sur l'itération des polynomes réels quadratiques, Journal de Mathématiques Pures et Appliquées, vol.41, pp.339-351, 1962. ,
Unstable periodic orbits and templates of the R??ssler system: Toward a systematic topological characterization, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.49, issue.1, pp.271-282, 1995. ,
DOI : 10.1103/PhysRevE.49.4693
Systematic template extraction from chaotic attractors: I. Genus-one attractors with an inversion symmetry, Journal of Physics A: Mathematical and Theoretical, vol.46, issue.37, p.375101, 2013. ,
DOI : 10.1088/1751-8113/46/37/375101
URL : https://hal.archives-ouvertes.fr/hal-01003677
Equations of motion from a data series, Complex Systems, vol.1, pp.417-452, 1987. ,
approximation on nets, Physical Review E, vol.57, issue.6, pp.4955-4972, 1994. ,
DOI : 10.1016/0375-9601(76)90101-8
URL : https://hal.archives-ouvertes.fr/hal-01597335
Modeling Nonlinear Dynamics and Chaos: A Review, Mathematical 495 Problems in Engineering, p.238960, 2009. ,
DOI : 10.1016/S0960-0779(00)00174-0
URL : http://doi.org/10.1155/2009/238960
Polynomial search and global modeling: Two algorithms for modeling chaos, Physical Review E, vol.49, issue.4, p.46205, 2012. ,
DOI : 10.1214/aos/1176344136
URL : https://hal.archives-ouvertes.fr/ird-01062696
Two chaotic global models for cereal crops cycles observed from satellite in northern Morocco, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.1, issue.2, pp.23130-500, 2014. ,
DOI : 10.1103/PhysRevE.84.046205
Low dimensional chaotic models for the plague epidemic in Bombay, Chaos, Solitons & Fractals, pp.184-196, 1896. ,
Dynamical effects of overparametrization in nonlinear models, Physica D: Nonlinear Phenomena, vol.80, issue.1-2, pp.26-40, 1995. ,
DOI : 10.1016/0167-2789(95)90053-5
Structure-selection techniques applied to continuous-time nonlinear models, Physica D: Nonlinear Phenomena, vol.158, issue.1-4, pp.1-18, 2001. ,
DOI : 10.1016/S0167-2789(01)00313-X
URL : http://www.cpdee.ufmg.br/~MACSIN/services/papers/agueal158.pdf
Global modeling of the R??ssler system from the z-variable, Physics Letters A, vol.314, issue.5-6, pp.409-427, 2003. ,
DOI : 10.1016/S0375-9601(03)00912-5
Ansatz library for global modeling with a structure selection The immune microenvironment of human tumors: general significance and clinical impact, Physical Review E Cancer Microenvironment, vol.6474, issue.6, pp.16206-510, 2001. ,
Tumor microenvironment: The role of the tumor stroma in cancer, Journal of Cellular Biochemistry, vol.13, issue.4, pp.805-815, 2007. ,
DOI : 10.1093/jnci/94.4.252
A Mathematical Model to Elucidate Brain Tumor Abrogation by Immunotherapy with T11 Target Structure, PLOS ONE, vol.3, issue.11, p.123611, 2015. ,
DOI : 10.1371/journal.pone.0123611.t001
Stromal cells in tumor microenvironment and breast cancer, Cancer and Metastasis Reviews, vol.18, issue.2, pp.303-315, 2013. ,
DOI : 10.1158/1078-0432.CCR-10-2507
URL : https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4432936/pdf
Microenvironmental regulation of tumor progression and metastasis, Nature Medicine, vol.87, issue.11, pp.1423-1437, 2013. ,
DOI : 10.1016/j.ccr.2013.02.013
URL : https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3954707/pdf
Mitosis-targeted anti-cancer therapies: where they stand, Cell Death & Disease, vol.76, issue.10, p.411, 2012. ,
DOI : 10.1038/sj.leu.2403649
URL : http://www.nature.com/cddis/journal/v3/n10/pdf/cddis2012148a.pdf
and Ray-Coquard I, Bevacizumab combined with chemotherapy for platinum-resistant recurrent ovarian cancer: The AURELIA open-label randomized phase III trial, J. Clin. Oncol, vol.525, issue.32, pp.1302-1308, 2014. ,