B. Margaret, . Allison, G. Martin, and . Myers, 20 years of leptin: Connecting leptin signaling to biological function, Journal of endocrinology, vol.223, issue.1, pp.25-35, 2014.

A. S. Banks, S. M. Davis, S. H. Bates, and M. G. Myers, Activation of Downstream Signals by the Long Form of the Leptin Receptor, Journal of Biological Chemistry, vol.275, issue.19, pp.27514563-14572, 2000.
DOI : 10.1074/jbc.275.19.14563

W. A. Banks, C. R. Dipalma, and C. L. Farrell, Impaired transport of leptin across the blood-brain barrier in obesity???, Peptides, vol.20, issue.11, pp.1341-1345, 1999.
DOI : 10.1016/S0196-9781(99)00139-4

C. Bjørbaek, S. Uotani, B. Da-silva, and J. S. Flier, Divergent Signaling Capacities of the Long and Short Isoforms of the Leptin Receptor, Journal of Biological Chemistry, vol.272, issue.51, pp.27232686-32695, 1997.
DOI : 10.1074/jbc.272.51.32686

J. F. Caro, J. W. Kolaczynski, M. R. Nyce, J. P. Ohannesian, I. Opentanova et al., Decreased cerebrospinalfluid/serum leptin ratio in obesity: a possible mechanism for leptin resistance, Lancet, issue.9021, pp.348159-161, 1996.

C. Carson, . Chow, D. Kevin, and . Hall, The dynamics of human body weight change, PLoS Computational Biology, vol.4, issue.3, p.1000045, 2008.

C. Carson, . Chow, D. Kevin, and . Hall, Short and long-term energy intake patterns and their implications for human body weight regulation, Physiology & Behavior, vol.134, pp.60-65, 2014.

C. Sobrino-crespo, A. P. Cachero, L. P. Jiménez, V. Barrios, and E. A. Ferreiro, Peptides and Food Intake, Frontiers in Endocrinology, vol.37, issue.3, p.58, 2014.
DOI : 10.2337/dc13-1012

A. Albert, . De-graaf, P. Andreas, . Freidig, N. Baukje-de-roos et al., Nutritional systems biology modeling: from molecular mechanisms to physiology, PLoS Computational Biology, vol.5, issue.11, p.1000554, 2009.

F. A. Duca and M. Covasa, Current and emerging concepts on the role of peripheral signals in the control of food intake and development of obesity, British Journal of Nutrition, vol.278, issue.05, pp.778-793, 2012.
DOI : 10.1016/j.acthis.2010.09.007
URL : https://hal.archives-ouvertes.fr/hal-01190725

K. El-haschimi, D. D. Pierroz, S. M. Hileman, C. Bjørbaek, and J. S. Flier, Two defects contribute to hypothalamic leptin resistance in mice with diet-induced obesity. The journal of clinical investigation, pp.1827-1832, 2000.

J. M. Friedman, Leptin, Leptin Receptors, and the Control of Body Weight, Nutrition Reviews, vol.56, issue.2, pp.38-46, 1998.
DOI : 10.1111/j.1753-4887.1998.tb01685.x

J. M. Friedman, Obesity in the new millennium, Nature, issue.6778, pp.404632-634, 2000.

J. M. Friedman and J. L. Halaas, Leptin and the regulation of body weight in mammals, Nature, vol.395, issue.6704, pp.763-770, 1998.
DOI : 10.1038/27376

J. Friedman, 20 YEARS OF LEPTIN: Leptin at 20: an overview, Journal of Endocrinology, vol.223, issue.1, pp.1-8, 2014.
DOI : 10.1530/JOE-14-0405

A. De-gaetano, T. Hardy, B. Beck, E. Abu-raddad, P. Palumbo et al., Mathematical models of diabetes progression, AJP: Endocrinology and Metabolism, vol.295, issue.6, pp.1462-1479, 2008.
DOI : 10.1152/ajpendo.90444.2008

P. L. Golden, T. J. Maccagnan, and W. M. Pardridge, Human blood-brain barrier leptin receptor. Binding and endocytosis in isolated human brain microvessels. The journal of clinical investigation, pp.14-18, 1997.

J. Guo, D. Kevin, and . Hall, Estimating the Continuous-Time Dynamics of Energy and Fat Metabolism in Mice, PLoS Computational Biology, vol.4, issue.9, p.1000511, 2009.
DOI : 10.1371/journal.pcbi.1000511.g003

J. Guo, D. Kevin, and . Hall, Predicting Changes of Body Weight, Body Fat, Energy Expenditure and Metabolic Fuel Selection in C57BL/6 Mice, PLoS ONE, vol.298, issue.1, p.15961, 2011.
DOI : 10.1371/journal.pone.0015961.s003

J. Stephan, . Guyenet, W. Michael, and . Schwartz, Regulation of food intake, energy balance, and body fat mass: implications for the pathogenesis and treatment of obesity, The Journal of Clinical Endocrinology & Metabolism, vol.97, issue.3, pp.745-755, 2012.

J. L. Halaas, C. Boozer, J. Blair-west, N. Fidahusein, D. A. Denton et al., Physiological response to long-term peripheral and central leptin infusion in lean and obese mice, Proceedings of the National Academy of Sciences, pp.948878-8883, 1997.
DOI : 10.1073/pnas.94.16.8878

D. Kevin and . Hall, Body fat and fat-free mass inter-relationships: Forbes's theory revisited, British Journal of Nutrition, vol.97, issue.6, pp.1059-1063, 2007.

D. Kevin and . Hall, Mathematical modelling of energy expenditure during tissue deposition, British Journal of Nutrition, vol.104, issue.1, pp.4-7, 2010.

G. W. Horgan, The behaviour of a neutral model of weight regulated only by body mass, Journal of Theoretical Biology, vol.270, issue.1, pp.1-6, 2011.
DOI : 10.1016/j.jtbi.2010.11.001
URL : https://hal.archives-ouvertes.fr/hal-00656336

M. Jacquier, F. Crauste, C. O. Soulage, A. Hédi, and . Soula, A Predictive Model of the Dynamics of Body Weight and Food Intake in Rats Submitted to Caloric Restrictions, PLoS ONE, vol.273, issue.6, p.100073, 2014.
DOI : 10.1371/journal.pone.0100073.t006
URL : https://hal.archives-ouvertes.fr/hal-01017357

T. Kenakin, Principles: Receptor theory in pharmacology, Trends in Pharmacological Sciences, vol.25, issue.4, pp.186-192, 2004.
DOI : 10.1016/j.tips.2004.02.012

R. B. Lynn, G. Y. Cao, R. V. Considine, T. M. Hyde, and J. F. Caro, Autoradiographic Localization of Leptin Binding in the Choroid Plexus ofob/obanddb/dbMice, Biochemical and Biophysical Research Communications, vol.219, issue.3, pp.884-889, 1996.
DOI : 10.1006/bbrc.1996.0328

R. L. Martin, E. Perez, Y. J. He, R. Dawson, and W. J. Millard, Leptin resistance is associated with hypothalamic leptin receptor mRNA and protein downregulation, Metabolism, vol.49, issue.11, pp.491479-1484, 2000.
DOI : 10.1053/meta.2000.17695

G. J. Morton, D. E. Cummings, D. G. Baskin, G. S. Barsh, and M. W. Schwartz, Central nervous system control of food intake and body weight, Nature, vol.52, issue.7109, pp.443289-295, 2006.
DOI : 10.1016/j.physbeh.2004.04.034

J. Gregory, . Morton, H. Thomas, . Meek, W. Michael et al., Neurobiology of food intake in health and disease, Nature Reviews Neuroscience, vol.15, issue.6, pp.367-378, 2014.

G. Martin, . Myers, A. Michael, H. Cowley, and . Münzberg, Mechanisms of leptin action and leptin resistance, Annual Review of Physiology, vol.70, pp.537-556, 2008.

G. Martin, . Myers, L. Rudolph, R. J. Leibel, . Seeley et al., Obesity and leptin resistance: distinguishing cause from effect, Trends in Endocrinology & Metabolism, vol.21, issue.11, pp.643-651, 2010.

J. Naukkarinen, A. Rissanen, J. Kaprio, and K. H. Pietiläinen, Causes and consequences of obesity: the contribution of recent twin studies, International Journal of Obesity, vol.109, issue.8, pp.1017-1024, 2012.
DOI : 10.1002/(SICI)1097-0258(19980228)17:4<407::AID-SIM742>3.3.CO;2-C

K. M. Nelson, R. L. Weinsier, C. L. Long, and Y. Schutz, Prediction of resting energy expenditure from fat-free mass and fat mass. The American journal of clinical nutrition, pp.848-856, 1992.

R. Pal and A. Sahu, Leptin Signaling in the Hypothalamus during Chronic Central Leptin Infusion, Endocrinology, vol.144, issue.9, pp.3789-3798, 2003.
DOI : 10.1210/en.2002-0148

R. R. Ruffolo, IMPORTANT CONCEPTS OF RECEPTOR THEORY, Journal of Autonomic Pharmacology, vol.170, issue.4, pp.277-295, 1982.
DOI : 10.1098/rspb.1961.0020

A. Sahu, Resistance to the Satiety Action of Leptin Following Chronic Central Leptin Infusion is Associated with the Development of Leptin Resistance in Neuropeptide Y Neurones, Journal of Neuroendocrinology, vol.136, issue.10, pp.796-804, 2002.
DOI : 10.1046/j.1365-2826.2002.00840.x

P. J. Scarpace, M. Matheny, N. Tümer, K. Y. Cheng, and Y. Zhang, Leptin resistance exacerbates diet-induced obesity and is associated with diminished maximal leptin signalling capacity in rats, Diabetologia, vol.144, issue.6, pp.481075-1083, 2005.
DOI : 10.1007/s00125-005-1763-x

M. W. Schwartz, E. Peskind, M. Raskind, E. J. Boyko, and D. Porte, Cerebrospinal fluid leptin levels: Relationship to plasma levels and to adiposity in humans, Nature Medicine, vol.42, issue.5, pp.589-593, 1996.
DOI : 10.1038/379632a0

M. W. Schwartz, S. C. Woods, D. Porte, R. J. Seeley, and D. G. Baskin, Central nervous system control of food intake, Nature, issue.6778, pp.404661-671, 2000.

R. P. Stephenson, A MODIFICATION OF RECEPTOR THEORY, British Journal of Pharmacology and Chemotherapy, vol.83, issue.4, pp.379-393, 1956.
DOI : 10.1111/j.1476-5381.1956.tb00006.x

J. Tam, D. Fukumura, K. Rakesh, and . Jain, A Mathematical Model of Murine Metabolic Regulation by Leptin: Energy Balance and Defense of a Stable Body Weight, Cell Metabolism, vol.9, issue.1, pp.52-63, 2009.
DOI : 10.1016/j.cmet.2008.11.005

L. A. Tartaglia, The Leptin Receptor, Journal of Biological Chemistry, vol.272, issue.10, pp.6093-6096, 1997.
DOI : 10.1074/jbc.272.10.6093

B. Topp, K. Promislow, G. Devries, R. M. Miura, and D. T. Finegood, A Model of ?? -Cell Mass, Insulin, and Glucose Kinetics: Pathways to Diabetes, Journal of Theoretical Biology, vol.206, issue.4, pp.605-619, 2000.
DOI : 10.1006/jtbi.2000.2150

P. S. Widdowson, R. Upton, R. Buckingham, J. Arch, and G. Williams, Inhibition of Food Response to Intracerebroventricular Injection of Leptin Is Attenuated in Rats With Diet-Induced Obesity, Diabetes, vol.46, issue.11, pp.461782-1785, 1997.
DOI : 10.2337/diab.46.11.1782

J. Wilsey and P. J. Scarpace, Caloric restriction reverses the deficits in leptin receptor protein and leptin signaling capacity associated with diet-induced obesity: role of leptin in the regulation of hypothalamic long-form leptin receptor expression, Journal of Endocrinology, vol.181, issue.2, pp.297-306, 2004.
DOI : 10.1677/joe.0.1810297

A. M. Wren, L. J. Seal, M. A. Cohen, A. E. Brynes, G. S. Frost et al., Ghrelin Enhances Appetite and Increases Food Intake in Humans, The Journal of Clinical Endocrinology & Metabolism, vol.86, issue.12, p.865992, 2001.
DOI : 10.1210/jcem.86.12.8111

J. Zeng, B. W. Patterson, S. Klein, D. R. Martin, S. Dagogo-jack et al., Whole body leptin kinetics and renal metabolism in vivo, American Journal of Physiology -Endocrinology and Metabolism, vol.273, issue.6, pp.1102-1106, 1997.

Y. Zhang, M. Olbort, K. Schwarzer, B. Nuesslein-hildesheim, M. Nicolson et al., The Leptin Receptor Mediates Apparent Autocrine Regulation of Leptin Gene Expression, Biochemical and Biophysical Research Communications, vol.240, issue.2, pp.492-495, 1997.
DOI : 10.1006/bbrc.1997.7622

Y. Zhang, J. Philip, and . Scarpace, The role of leptin in leptin resistance and obesity, Physiology & Behavior, vol.88, issue.3, pp.249-256, 2006.
DOI : 10.1016/j.physbeh.2006.05.038