Scheda di dettaglio – i prodotti della ricerca
Dato | Valore |
---|---|
Title | A model for the hepatic glucose metabolism based on Hill and step functions |
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 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. |
Source | Journal of computational and applied mathematics 292, pp. 746–759 |
Keywords | Hill functionStep function |
Journal | Journal of computational and applied mathematics |
Editor | Koninklijke Vlaamse Ingenieursvereniging, Amsterdam, Belgio |
Year | 2016 |
Type | Articolo in rivista |
DOI | 10.1016/j.cam.2015.01.036 |
Authors | D'Abbicco M.; Del Buono N.; Gena P.; Berardi M.; Calamita G.; Lopez L. |
Text | 379374 2016 10.1016/j.cam.2015.01.036 Scopus 2 s2.0 84940724463 ISI Web of Science WOS WOS 000362130400051 Hill function Step function A model for the hepatic glucose metabolism based on Hill and step functions D Abbicco M.; Del Buono N.; Gena P.; Berardi M.; Calamita G.; Lopez L. Dipartimento di Matematica, Universita Degli Studi di Bari Aldo Moro, via E. Orabona 4, Bari, 70125, , Italy; Dipartimento di Bioscienze, Biotecnologie e Biofarmaceutica, Universita Degli Studi di Bari Aldo Moro, via E.Orabona 4, Bari, 70125, , Italy; Istituto di Ricerca Sulle Acque, Consiglio Nazionale Delle Ricerche, via F. De Blasio 5, Bari, 70132, ,Italy; Dipartimento di Fisica, Universita Degli Studi di Bari, Via G. Amendola 173, Bari, 70126, , Italy 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. 292 Published version http //www.scopus.com/record/display.url eid=2 s2.0 84940724463 origin=inward A model for the hepatic glucose metabolism based on Hill and step functions JCAM_2016_Marco_Marcello_et_al.pdf Articolo in rivista Koninklijke Vlaamse Ingenieursvereniging 0377 0427 Journal of computational and applied mathematics Journal of computational and applied mathematics J. comput. appl. math. marco.berardi BERARDI MARCO |