title: A mathematical model of leptin resistance.
abstract: Obesity is often associated with leptin resistance, which leads to a physiological system with high leptin concentration but unable to respond to leptin signals and to regulate food intake. We propose a mathematical model of the leptin-leptin receptors system, based on the assumption that leptin is a regulator of its own receptor activity, and investigate its qualitative behavior. Based on current knowledge and previous models developed for body weight dynamics in rodents, the model includes the dynamics of leptin, leptin receptors and the regulation of food intake and body weight. It displays two stable equilibria, one representing a healthy state and the other one an obese and leptin resistant state. We show that a constant leptin injection can lead to leptin resistance and that a temporal variation in some parameter values influencing food intake can induce a change of equilibrium and a pathway to leptin resistance and obesity.
authors.affiliation: Université de Lyon, Université Claude Bernard Lyon 1, CNRS UMR 5208, Institut Camille Jordan, 43 blvd. du 11 novembre 1918, F-69622 Villeurbanne Cedex, France; Inria Team Dracula, Inria Center Grenoble Rhône-Alpes, France. Electronic address: marine.jacquier@inria.fr.
authors.forename: Marine
authors.initials: M
authors.lastname: Jacquier
authors.affiliation: CarMeN, INSERM U1060, Université de Lyon, INSA-Lyon, Univ. Lyon-1, F-69621 Villeurbanne, France; Inria Team Beagle, Inria Center Grenoble Rhône-Alpes, France.
authors.forename: Hédi A
authors.initials: HA
authors.lastname: Soula
authors.affiliation: Université de Lyon, Université Claude Bernard Lyon 1, CNRS UMR 5208, Institut Camille Jordan, 43 blvd. du 11 novembre 1918, F-69622 Villeurbanne Cedex, France; Inria Team Dracula, Inria Center Grenoble Rhône-Alpes, France.
authors.forename: Fabien
authors.initials: F
authors.lastname: Crauste
mesh_terms: D000818:Animals; D001835:Body Weight / Q000502:physiology; D004351:Drug Resistance; D004435:Eating / Q000502:physiology; D006801:Humans; D020738:Leptin / Q000008:administration & dosage / Q000502:physiology*; D055641:Mathematical Concepts; D008954:Models, Biological; D009765:Obesity / Q000209:etiology / Q000503:physiopathology; D054411:Receptors, Leptin / Q000502:physiology
chemical_list: D020738:Leptin; D054411:Receptors, Leptin
keywords: Food intake regulation; Leptin resistance; Nonlinear model; Obesity