Body weight control is gaining interest since its dysregulation eventually leads to obesity and metabolic disorders. An accurate mathematical description of the behavior of physiological variables in humans after food intake may help in understanding regulation mechanisms and in finding treatments. This work proposes a multi-compartment mathematical model of food intake that accounts for glucose-insulin homeostasis and ghrelin dynamics. The model involves both food volumes and glucose amounts in the two-compartment system describing the gastro-intestinal tract. Food volumes control ghrelin dynamics, whilst glucose amounts clearly impact on the glucose-insulin system. The qualitative behavior analysis shows that the model solutions are mathematically coherent, since they stay positive and provide a unique asymptotically stable equilibrium point. Ghrelin and insulin experimental data have been exploited to fit the model on a daily horizon. The goodness of fit and the physiologically meaningful time courses of all state variables validate the efficacy of the model to capture the main features of the glucose-insulin-ghrelin interplay.

Barnabei, M., Borri, A., De Gaetano, A., Manes, C., Palumbo, P., Pires, J. (2022). A short-term food intake model involving glucose, insulin and ghrelin. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B., 27(4), 1913-1926 [10.3934/dcdsb.2021114].

A short-term food intake model involving glucose, insulin and ghrelin

Palumbo, P;
2022

Abstract

Body weight control is gaining interest since its dysregulation eventually leads to obesity and metabolic disorders. An accurate mathematical description of the behavior of physiological variables in humans after food intake may help in understanding regulation mechanisms and in finding treatments. This work proposes a multi-compartment mathematical model of food intake that accounts for glucose-insulin homeostasis and ghrelin dynamics. The model involves both food volumes and glucose amounts in the two-compartment system describing the gastro-intestinal tract. Food volumes control ghrelin dynamics, whilst glucose amounts clearly impact on the glucose-insulin system. The qualitative behavior analysis shows that the model solutions are mathematically coherent, since they stay positive and provide a unique asymptotically stable equilibrium point. Ghrelin and insulin experimental data have been exploited to fit the model on a daily horizon. The goodness of fit and the physiologically meaningful time courses of all state variables validate the efficacy of the model to capture the main features of the glucose-insulin-ghrelin interplay.
Articolo in rivista - Articolo scientifico
Energy homeostasis; Ghrelin; Glucose-insulin system; Mathematical physiology;
English
1913
1926
14
Barnabei, M., Borri, A., De Gaetano, A., Manes, C., Palumbo, P., Pires, J. (2022). A short-term food intake model involving glucose, insulin and ghrelin. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B., 27(4), 1913-1926 [10.3934/dcdsb.2021114].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/356597
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