A model for the Hepatic Glucose Metabolism based on Hill and Step Functions

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Abstract

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 piece-wise 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.

Autore Pugliese

Tutti gli autori

  • GENA A.P.;CALAMITA G.;LOPEZ L.;D'ABBICCO M.;BERARDI M.;DEL BUONO N.

Titolo volume/Rivista

Non Disponibile

Anno di pubblicazione

2016

ISSN

0377-0427

ISBN

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Numero di citazioni Wos

5

Ultimo Aggiornamento Citazioni

Non Disponibile

Numero di citazioni Scopus

5

Ultimo Aggiornamento Citazioni

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Settori ERC

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Codici ASJC

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