M. Kracikova, A threshold mechanism mediates p53 cell fate decision between growth arrest and apoptosis, Cell Death and Differentiation, vol.28, issue.4, pp.576-588, 2013.
DOI : 10.1038/cdd.2012.155

J. Clairambault, Modelling Physiological and Pharmacological Control on Cell Proliferation to Optimise Cancer Treatments, Mathematical Modelling of Natural Phenomena, vol.4, issue.3, pp.12-67, 2009.
DOI : 10.1051/mmnp/20094302

J. Clairambault and O. Fercoq, Physiologically Structured Cell Population Dynamic Models with Applications to Combined Drug Delivery Optimisation in Oncology, Mathematical modelling of cancer growth and treatment
DOI : 10.1051/mmnp/201611604

URL : https://hal.archives-ouvertes.fr/hal-00750633

F. Murray-zmijewski, E. A. Slee, and X. Lu, A complex barcode underlies the heterogeneous response of p53 to stress, Nature Reviews Molecular Cell Biology, vol.443, issue.9, pp.702-712, 2008.
DOI : 10.1038/nrm2451

L. Dimitrio, Modelling nucleocytoplasmic transport with application to the intracellular dynamics of the tumor suppressor protein p53 Ph

L. Dimitrio, J. Clairambault, and R. Natalini, A spatial physiological model for p53 intracellular dynamics, Journal of Theoretical Biology, vol.316, pp.9-24, 2013.
DOI : 10.1016/j.jtbi.2012.08.035

URL : https://hal.archives-ouvertes.fr/hal-00726014

B. Vogelstein, D. Lane, and A. J. Levine, Surfing the p53 network, Nature, vol.408, issue.6810, pp.307-310, 2000.
DOI : 10.1038/35042675

T. T. Paull and J. H. Lee, The Mre11/Rad50/Nbs1 Complex and Its Role as a DNA Double-Strand Break Sensor for ATM, Cell Cycle, vol.4, issue.6, pp.6-737, 2005.
DOI : 10.4161/cc.4.6.1715

F. Lévi, A. Okyar, S. Dulong, P. F. Innominato, and J. Clairambault, Circadian Timing in Cancer Treatments, Annual Review of Pharmacology and Toxicology, vol.50, issue.1, pp.377-421, 2010.
DOI : 10.1146/annurev.pharmtox.48.113006.094626

A. Ballesta, S. Dulong, C. Abbara, B. Cohen, A. Okyar et al., A Combined Experimental and Mathematical Approach for Molecular-based Optimization of Irinotecan Circadian Delivery, PLoS Computational Biology, vol.49, issue.9, p.1002143, 2011.
DOI : 10.1371/journal.pcbi.1002143.s001

URL : https://hal.archives-ouvertes.fr/inserm-00692053

A. Ballesta, J. Clairambault, S. Dulong, and F. Lévi, A Systems Biomedicine Approach for Chronotherapeutics Optimization: Focus on the Anticancer Drug Irinotecan, New Challenges for Cancer Systems Biomedicine, Part V, SIMAI Lecture Notes, pp.301-327
DOI : 10.1007/978-88-470-2571-4_16

URL : https://hal.archives-ouvertes.fr/hal-00780810

F. Billy and J. Clairambault, Designing proliferating cell population models with functional targets for control by anti-cancer drugs, Discrete and Continuous Dynamical Systems - Series B, vol.18, issue.4, pp.865-889, 2013.
DOI : 10.3934/dcdsb.2013.18.865

URL : https://hal.archives-ouvertes.fr/hal-00726195

Y. Sun, 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

E. Batchelor, Recurrent Initiation: A Mechanism for Triggering p53 Pulses in Response to DNA Damage, Molecular Cell, vol.30, issue.3, pp.277-289, 2008.
DOI : 10.1016/j.molcel.2008.03.016

S. Shreeram, Wip1 Phosphatase Modulates ATM-Dependent Signaling Pathways, Molecular Cell, vol.23, issue.5, pp.757-764, 2006.
DOI : 10.1016/j.molcel.2006.07.010

URL : http://doi.org/10.1016/j.molcel.2006.07.010

S. Shreeram, Regulation of ATM/p53-dependent suppression of myc-induced lymphomas by Wip1 phosphatase, The Journal of Experimental Medicine, vol.2, issue.13, pp.2793-2799, 2006.
DOI : 10.1128/MCB.02240-05

G. Lahav, Dynamics of the p53-Mdm2 feedback loop in individual cells, Nature Genetics, vol.36, issue.2, pp.147-150, 2004.
DOI : 10.1038/ng1293

N. Geva-zatorsky, Oscillations and variability in the p53 system, Molecular Systems Biology, vol.101, pp.1-13, 2006.
DOI : 10.1038/msb4100068

R. and L. Bar-or, Generation of Oscillation by the p53-Mdm2 feedback loop: a theoretical and experimental study, Proc. Natl. Acad. Sci. USA 97, pp.11250-11255, 2000.

D. R. Green and G. Kroemer, Cytoplasmic functions of the tumour suppressor p53, Nature, vol.4, issue.7242, pp.1127-1130, 2009.
DOI : 10.1038/nature07986

M. F. Lavin, Ataxia-telangiectasia: from a rare disorder to a paradigm for cell signalling and cancer, Nature, vol.9, pp.759-769, 2008.

D. B. Young, Identification of Domains of Ataxia-telangiectasia Mutated Required for Nuclear Localization and Chromatin Association, Journal of Biological Chemistry, vol.280, issue.30, pp.27587-27594, 2005.
DOI : 10.1074/jbc.M411689200

M. Fiscella, Wip1, a novel human protein phosphatase that is induced in response to ionizing radiation in a p53-dependent manner, Proc. Natl. Acad. Sci. USA 94, pp.6048-6053, 1997.
DOI : 10.1073/pnas.94.12.6048

J. Ch, M. B. Bakkenist, and . Kastan, DNA damage activates ATM through intermolecular autophosphorylation and dimer dissociation, Nature, vol.421, pp.499-506, 2003.

M. B. Kastan and J. Bartek, Cell-cycle checkpoints and cancer, Nature, vol.9, issue.7015, pp.316-323, 2004.
DOI : 10.1038/ng1282

J. Bartkova, ATM Activation in Normal Human Tissues and Testicular Cancer, Cell Cycle, vol.4, issue.6, pp.838-845, 2005.
DOI : 10.4161/cc.4.6.1742

R. Kitagawa, J. Ch, P. J. Bakkenist, M. B. Mckinnon, and . Kastan, Phosphorylation of SMC1 is a critical downstream event in the ATM-NBS1-BRCA1 pathway, Genes & Development, vol.18, issue.12, pp.1423-1438, 2004.
DOI : 10.1101/gad.1200304

J. Falck, J. Coates, and S. P. Jackson, Conserved modes of recruitment of ATM, ATR and DNA-PKcs to sites of DNA damage, Nature, vol.19, issue.7033, pp.605-6011, 2005.
DOI : 10.1038/sj.emboj.7600463

S. V. Kozlov, Involvement of novel autophosphorylation sites in ATM activation, The EMBO Journal, vol.61, issue.15, pp.3504-3514, 2006.
DOI : 10.1073/pnas.94.15.8021

S. V. Kozlov, Autophosphorylation and ATM Activation: ADDITIONAL SITES ADD TO THE COMPLEXITY, Journal of Biological Chemistry, vol.286, issue.11, pp.9107-9119, 2011.
DOI : 10.1074/jbc.M110.204065

Y. Sun, DNA Damage-Induced Acetylation of Lysine 3016 of ATM Activates ATM Kinase Activity, Molecular and Cellular Biology, vol.27, issue.24, pp.8502-8509, 2007.
DOI : 10.1128/MCB.01382-07

E. Berkovich, R. J. Monnat-jr, and M. B. Kastan, Roles of ATM and NBS1 in chromatin structure modulation and DNA double-strand break repair, Nature Cell Biology, vol.58, issue.6, pp.683-690, 2007.
DOI : 10.1074/jbc.M103596200

A. Ali, Requirement of protein phosphatase 5 in DNA-damage-induced ATM activation, Genes & Development, vol.18, issue.3, pp.249-254, 2004.
DOI : 10.1101/gad.1176004

A. A. Goodarzi, Autophosphorylation of ataxia-telangiectasia mutated is regulated by protein phosphatase 2A, The EMBO Journal, vol.1550, issue.22, pp.4451-4461, 2004.
DOI : 10.1073/pnas.94.15.8021

J. P. Keener and J. Sneyd, Mathematical Physiology I: Cellular Physiology, 2009.

L. A. Segel and M. Slemrod, The Quasi-Steady-State Assumption: A Case Study in Perturbation, SIAM Review, vol.31, issue.3, pp.3-446, 1989.
DOI : 10.1137/1031091

Y. Haupt, R. Maya, A. Kazaz, and M. Oren, Mdm2 promotes the rapid degradation of p53, Nature, vol.387, issue.6630, pp.296-299, 1997.
DOI : 10.1038/387296a0

N. D. Marchenko, Stress-mediated nuclear stabilization of p53 is regulated by ubiquitination and importin-??3 binding, Cell Death and Differentiation, vol.18, issue.2, pp.255-267, 2010.
DOI : 10.1006/excr.2000.4825

R. L. Weinberg, D. B. Veprintsev, and A. R. Fersht, Cooperative Binding of Tetrameric p53 to DNA, Journal of Molecular Biology, vol.341, issue.5, pp.1145-1159, 2004.
DOI : 10.1016/j.jmb.2004.06.071

L. Ma, A plausible model for the digital response of p53 to DNA damage, Proc. Natl. Acad. Sci. USA, pp.14266-14271, 2005.
DOI : 10.1073/pnas.0501352102

J. Wagner, p53???Mdm2 loop controlled by a balance of its feedback strength and effective dampening using ATM and delayed feedback, Proc. Natl. Acad. Sci. USA, pp.109-118, 2005.
DOI : 10.1049/ip-syb:20050025

A. Ciliberto, B. Novak, and J. J. Tyson, Steady States and Oscillations in the p53/Mdm2 Network, Cell Cycle, vol.4, issue.3, pp.488-493, 2005.
DOI : 10.4161/cc.4.3.1548

T. Zhang, P. Brazhnik, and J. J. Tyson, Exploring Mechanisms of the DNA-Damage Response: p53 Pulses and their Possible Relevance to Apoptosis, Cell Cycle, vol.6, issue.1, pp.85-94, 2007.
DOI : 10.4161/cc.6.1.3705

X. Zhang, F. Liu, and W. Wang, Two-phase dynamics of p53 in the DNA damage response, Proc. Natl. Acad. Sci. USA, pp.8990-8995, 2011.
DOI : 10.1073/pnas.1100600108

J. K. Kim and T. L. Jackson, Mechanisms That Enhance Sustainability of p53 Pulses, PLoS ONE, vol.97, issue.6
DOI : 10.1371/journal.pone.0065242.s006

K. Puszy´nskipuszy´nski, B. Hat, and T. Lipniacki, Oscillations and bistability in the stochastic model of p53 regulation, Journal of Theoretical Biology, vol.254, issue.2, pp.452-465, 2008.
DOI : 10.1016/j.jtbi.2008.05.039

M. Sturrock, A. J. Terry, D. P. Xirodimas, A. M. Thompson, and M. A. , Spatio-temporal modelling of the Hes1 and p53-Mdm2 intracellular signalling pathways, Journal of Theoretical Biology, vol.273, issue.1, pp.15-31, 2011.
DOI : 10.1016/j.jtbi.2010.12.016

URL : https://hal.archives-ouvertes.fr/hal-00669200

M. Sturrock, A. J. Terry, D. P. Xirodimas, A. M. Thompson, and M. A. Chaplain, Influence of the Nuclear Membrane, Active Transport, and Cell Shape on the Hes1 and p53???Mdm2 Pathways: Insights from Spatio-temporal Modelling, Influence of the Nuclear Membrane, Active Transport, and Cell Shape on the Hes1 and p53Mdm2 Pathways: Insights from Spatio-temporal Modelling, pp.1531-1579, 2012.
DOI : 10.1007/s11538-012-9725-1

M. Sturrock, A. Hellander, A. Matzavoinos, and M. A. Chaplain, Spatial stochastic modelling of the Hes1 gene regulatory network: intrinsic noise can explain heterogeneity in embryonic stem cell differentiation, Journal of The Royal Society Interface, vol.6, issue.2, p.20120988, 2013.
DOI : 10.1371/journal.pone.0016980

A. Dhooge, W. Govaerts, and Y. A. Kuznetsov, MATCONT, ACM Transactions on Mathematical Software, vol.29, issue.2, pp.141-164, 2003.
DOI : 10.1145/779359.779362

Y. A. Kuznetsov, Elements of Applied Bifurcation Theory, 2004.

Y. Lee, M. J. Chong, and P. J. Mckinnon, Ataxia Telangiectasia Mutateddependent apoptosis after genotoxic stress in the developing nervous system is determined by cellular differentiation status, The J. of Neuroscience, vol.21, pp.6687-6693, 2001.

J. H. Lee and T. T. , ATM Activation by DNA Double-Strand Breaks Through the Mre11-Rad50-Nbs1 Complex, Science, vol.308, issue.5721, pp.551-554, 2005.
DOI : 10.1126/science.1108297

M. Sturrock, A. Hellander, S. Aldakheel, L. Petzold, and M. A. Chaplain, The role of dimerisation and nuclear transport in the Hes1 gene regulatory network Bull, Math. Biol. DOI, vol.10, pp.11538-11551, 1007.