Leptin effect’s on glucose and insulin kinetics: A mathematical model

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Diabetes mellitus is a chronical disease characterized by the failure of biological mechanisms that regulate blood glucose which leads to hyperglycemia, it has a very high morbidity and mortality rates over the world. In this work, we provide a new model of five compartments that describes the glucose homeostasis in which we integrate the effects of leptin and fat mass on the uptake of glucose by the liver and the peripheral tissues. The model-based numerical results show that the accumulation of fat mass is a key factor that leads to insulin resistance, as well as lipotoxicity of beta-cells, and the dysfunction of these cells can be compensated by insulin-independent mechanisms such as leptin.