A. Goldbeter, Biochemical Oscillations and Cellular Rythms. The molecular basis of periodic and chaotic behavior, 1996.
DOI : 10.1017/cbo9780511608193

A. Goldbeter, Computational approaches to cellular rhythms, Nature, vol.23, issue.6912, pp.238-245, 2002.
DOI : 10.1038/nature01123

R. Bar-or, R. Maya, L. Segel, U. Alon, and A. Levine, Generation of oscillations by the p53-Mdm2 feedback loop: A theoretical and experimental study, Proceedings of the National Academy of Sciences, vol.97, issue.21, pp.11250-11255, 2000.
DOI : 10.1073/pnas.210171597

O. Decroly and A. Goldbeter, Birhythmicity, chaos, and other patterns of temporal self-organization in a multiply regulated biochemical system., Proceedings of the National Academy of Sciences, vol.79, issue.22, pp.6917-6921, 1982.
DOI : 10.1073/pnas.79.22.6917

M. Alamgir and I. Epstein, Systematic design of chemical oscillators. 17. Birhythmicity and compound oscillation in coupled chemical oscillators: chlorite-bromate-iodide system, Journal of the American Chemical Society, vol.105, issue.8, pp.2500-2501, 1983.
DOI : 10.1021/ja00346a080

O. Citri and I. Epstein, Systematic design of chemical oscillators. 43. Mechanistic study of a coupled chemical oscillator: the bromate-chlorite-iodide reaction, The Journal of Physical Chemistry, vol.92, issue.7, pp.1865-1871, 1988.
DOI : 10.1021/j100318a034

J. Hounsgaard, H. Hultborn, B. Jespersen, and O. Kiehn, Bistability of alpha-motoneurones in the decerebrate cat and in the acute spinal cat after intravenous 5-hydroxytryptophan., The Journal of Physiology, vol.405, issue.1, pp.345-367, 1988.
DOI : 10.1113/jphysiol.1988.sp017336

A. Ventura, D. Kirsch, M. Mclaughlin, D. Tuveson, and J. Grimm, Restoration of p53 function leads to tumour regression in vivo, Nature, vol.119, issue.7128, pp.661-665, 2007.
DOI : 10.1038/nature05541

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

K. Vousden and D. Lane, p53 in health and disease, Nature Reviews Molecular Cell Biology, vol.331, issue.4, pp.275-283, 2007.
DOI : 10.1038/nrm2147

N. Geva-zatorsky, N. Rosenfeld, S. Itzkovitz, R. Milo, and A. Sigal, Oscillations and variability in the p53 system, Molecular Systems Biology, vol.101, 2006.
DOI : 10.1038/msb4100068

W. Abou-jaoudé, D. Ouattara, and M. Kaufman, From structure to dynamics: Frequency tuning in the p53???Mdm2 network, Journal of Theoretical Biology, vol.258, issue.4, pp.561-577, 2009.
DOI : 10.1016/j.jtbi.2009.02.005

D. Ouattara, W. Abou-jaoudé, and M. Kaufman, From structure to dynamics: Frequency tuning in the p53-Mdm2 network. II, Journal of Theoretical Biology, vol.264, issue.4, pp.1177-1189, 2010.
DOI : 10.1016/j.jtbi.2010.03.031
URL : https://hal.archives-ouvertes.fr/hal-00554576

A. Ciliberto, B. Novak, and 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

C. Brooks and W. Gu, p53 Ubiquitination: Mdm2 and Beyond, Molecular Cell, vol.21, issue.3, pp.307-315, 2006.
DOI : 10.1016/j.molcel.2006.01.020

S. Fang, J. Jensen, R. Ludwig, K. Vousden, and A. Weissman, Mdm2 Is a RING Finger-dependent Ubiquitin Protein Ligase for Itself and p53, Journal of Biological Chemistry, vol.275, issue.12, pp.8945-8951, 2000.
DOI : 10.1074/jbc.275.12.8945

T. Inoue, R. Geyer, D. Howard, Z. Yu, and C. Maki, MDM2 Can Promote the Ubiquitination, Nuclear Export, and Degradation of p53 in the Absence of Direct Binding, Journal of Biological Chemistry, vol.276, issue.48, pp.45255-45260, 2001.
DOI : 10.1074/jbc.M107477200

J. Chen, J. Lin, and A. Levine, Regulation of transcription functions of the p53 tumor suppressor by the mdm-2 oncogene, Mol Med, vol.1, pp.142-152, 1995.

J. Kruse and W. Gu, Modes of p53 Regulation, Cell, vol.137, issue.4, pp.609-622, 2009.
DOI : 10.1016/j.cell.2009.04.050

J. Oliner, J. Pietenpol, S. Thiagalingam, J. Gyuris, and K. Kinzler, Oncoprotein MDM2 conceals the activation domain of tumour suppressor p53, Nature, vol.362, issue.6423, pp.857-860, 1993.
DOI : 10.1038/362857a0

Y. Barak, T. Juven, R. Haffner, and M. Oren, Mdm2 expression is induced by wild type p53 activity, EMBO J, vol.12, pp.461-468, 1993.

D. Freedman, L. Wu, and A. Levine, Functions of the MDM2 oncoprotein, Cellular and Molecular Life Sciences CMLS, vol.55, issue.1, pp.96-107, 1999.
DOI : 10.1007/s000180050273

T. Gottlieb, J. Leal, R. Seger, Y. Taya, and M. Oren, Cross-talk between Akt, p53 and Mdm2: possible implications for the regulation of apoptosis, Oncogene, vol.21, issue.8, pp.1299-1303, 2002.
DOI : 10.1038/sj.onc.1205181

C. Bakkenist and M. Kastan, DNA damage activates ATM through intermolecular autophosphorylation and dimer dissociation, Nature, vol.268, issue.6922, pp.499-506, 2003.
DOI : 10.1089/027245700429864

J. Stommel and G. Wahl, A New Twist in the Feedback Loop: Stress-Activated MDM2 Destabilization is Required for p53 Activation, Cell Cycle, vol.4, issue.3, pp.411-417, 2005.
DOI : 10.4161/cc.4.3.1522

M. Hirsch and H. Smith, Monotone systems, a mini-review, in Positive Systems, Proceedings of the First Multidisciplinary Symposium on Positive Systems, 2003.

M. Hirsch, Systems of differential equations which are competitive or cooperative: III. Competing species, Nonlinearity, vol.1, issue.1, pp.51-71, 1988.
DOI : 10.1088/0951-7715/1/1/003

H. Zhu and H. Smith, Stable Periodic Orbits for a Class of Three Dimensional Competitive Systems, Journal of Differential Equations, vol.110, issue.1, pp.143-156, 1994.
DOI : 10.1006/jdeq.1994.1063

L. Glass and S. Kauffman, The logical analysis of continuous, non-linear biochemical control networks, Journal of Theoretical Biology, vol.39, issue.1, pp.103-129, 1973.
DOI : 10.1016/0022-5193(73)90208-7

S. Omholt, X. Kefang, O. Andersen, and E. Plahte, Description and Analysis of Switchlike Regulatory Networks Exemplified by a Model of Cellular Iron Homeostasis, Journal of Theoretical Biology, vol.195, issue.3, pp.339-350, 1998.
DOI : 10.1006/jtbi.1998.0800

H. De-jong, J. Gouzé, C. Hernandez, M. Page, and T. Sari, Qualitative simulation of genetic regulatory networks using piecewise-linear models, Bulletin of Mathematical Biology, vol.66, issue.2, pp.301-340, 2004.
DOI : 10.1016/j.bulm.2003.08.010
URL : https://hal.archives-ouvertes.fr/hal-00173849

D. Ropers, H. De-jong, M. Page, D. Schneider, and J. Geiselmann, Qualitative simulation of the carbon starvation response in Escherichia coli, Biosystems, vol.84, issue.2, pp.124-152, 2006.
DOI : 10.1016/j.biosystems.2005.10.005
URL : https://hal.archives-ouvertes.fr/hal-00171698

A. Dayarian, M. Chaves, E. Sontag, and A. Sengupta, Shape, Size, and Robustness: Feasible Regions in the Parameter Space of Biochemical Networks, PLoS Computational Biology, vol.110, issue.1, 2009.
DOI : 10.1371/journal.pcbi.1000256.t002

L. Glass and J. Pasternack, Stable oscillations in mathematical models of biological control systems, Journal of Mathematical Biology, vol.11, issue.3, pp.207-223, 1978.
DOI : 10.1007/BF02547797

E. Snoussi, Qualitative dynamics of piecewise-linear differential equations: a discrete mapping approach, Dynamics and Stability of Systems, vol.54, issue.3-4, pp.189-207, 1989.
DOI : 10.1016/S0006-3495(71)86192-1

L. Glass, Classification of biological networks by their qualitative dynamics, Journal of Theoretical Biology, vol.54, issue.1, pp.85-107, 1975.
DOI : 10.1016/S0022-5193(75)80056-7

R. Edwards, Analysis of continuous-time switching networks, Physica D: Nonlinear Phenomena, vol.146, issue.1-4, pp.165-199, 2000.
DOI : 10.1016/S0167-2789(00)00130-5

R. Casey, H. De-jong, and J. Gouzé, Piecewise-linear Models of Genetic Regulatory Networks: Equilibria and their Stability, Journal of Mathematical Biology, vol.52, issue.1, pp.27-56, 2006.
DOI : 10.1007/s00285-005-0338-2
URL : https://hal.archives-ouvertes.fr/inria-00071250

H. Strogatz, Nonlinear Dynamics and Chaos. With applications to Physics, Biology, Chemistry, and Engineering. Westview, p.498, 1994.

A. Novick and M. Weiner, ENZYME INDUCTION AS AN ALL-OR-NONE PHENOMENON, Proceedings of the National Academy of Sciences, vol.43, issue.7, pp.553-566, 1957.
DOI : 10.1073/pnas.43.7.553

T. Gardner, C. Cantor, and J. Collins, Construction of a genetic toggle switch in Escherichia coli, Nature, vol.403, pp.339-342, 2000.

W. Xiong and J. Ferrell, A positive-feedback-based bistable ???memory module??? that governs a cell fate decision, Nature, vol.426, issue.6965, pp.460-465, 2003.
DOI : 10.1038/nature02089