A model for the hepatic glucose metabolism based on Hill and step functions

作者：D'Abbicco Marcello; Del Buono Nicoletta^*; Gena Patrizia; Berardi Marco; Calamita Giuseppe; Lopez Luciano

来源：Journal of Computational and Applied Mathematics, 2016, 292: 746-759.

DOI：10.1016/j.cam.2015.01.036

• Glucose-insulin model
• Hill function
• Step function
• Metabolic dysfunction

We propose a system of first-order ordinary differential equations to describe and understand the physiological mechanisms of the interplay between plasma glucose and insulin and their behaviors in diabetes. The proposed model is based on Hill and step functions which are used to simulate the switch-like behavior that occurs in metabolic regulatory variables when some of the threshold parameters are approached. A simplified piecewise-linear system is also proposed to study the possible equilibria and solutions and used to introduce simple theoretical control mechanisms representing the action of an artificial pancreas and regulating exogenous insulin.

• 出版日期2016-1-15