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  1. Home > Articles & Issues >
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  3. A mathematical model ...
Article

A mathematical model on the effect of growth hormone on glucose homeostasis

Hannah Al Ali (1), Boutayeb Wiam ORCID (2), Boutayeb Abdesslam (1), Merabet Nora (1)
(1) School of Mathematics, Statistics & Computing
(2) Department of Mathematics
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Open on HAL
Submitted on
October 31, 2018
Accepted on
April 1, 2019
Published on
June 8, 2019
Last modified on
March 31, 2025
Special issue 30
Volume 29-30 - 2019 - MADEV health and energy (2017)
DOI
10.46298/arima.4945
License
https://about.hal.science/hal-authorisation-v1
Indicators
1001
Views
1283
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A mathematical model on the effect of growth hormone on glucose homeostasis

Hannah Al Ali (1), Boutayeb Wiam ORCID (2), Boutayeb Abdesslam (1), Merabet Nora (1)
(1) School of Mathematics, Statistics & Computing
(2) Department of Mathematics
Abstract
English
Extending an existing model devoted to the interaction between β-Cell Mass, Insulin, Glucose, Receptor Dynamics and Free Fatty Acids in glucose regulatory system simulation, this paper proposes a mathematical model introducing the effect of growth hormone on the glucose homeostasis alongside the other variables. Stability analysis is carried out and pragmatic explanation of the equilibrium points is emphasized. Finally, simulation illustrated how β-Cell Mass, Insulin, Glucose, Receptor Dynamics, Free Fatty Acids and Growth Hormone may vary with different values of some parameters in the model.
French
Prolongeant un précédent model publié dédié à l'interaction entre les cellules beta, l'insuline, le glucose, les recpteurs d'insuline et les acides gras libres, cet article propose un modele mathématique introduisant l'effet de l'hrmone de croissance sur la homéostasie du glucose. L'analyse de stabilité a été suivie d'explication pratique des points d'équilibre. Enfin, la simulation a illustré comment les cellules beta, l'insuline, le glucose, les recpteurs d'insuline, les acides gras libres et l'hormone de croissance peuvent varier en fonction des différentes valeurs de certains paramètres.
Keywords
English
  • [MATH]Mathematics [math]
  • [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
  • Receptor Dynamics
  • Growth Hormone
French
  • Stabilité
  • Cellules β
  • Recepteurs d'insuline
  • Hormone de croissance KEYWORDS : Model
  • MOTS-CLÉS : Modèle
  • Equilibrium
  • Stability
  • Free Fatty Acids
  • Receptor
  • Insulin
  • β-Cell Mass
  • Equilibre
  • Model
  • Hormone de Croissance
  • Acides gras libres
  • Simulation
  • Cellules beta
  • Insuline
  • Glucose
  • Recpteurs d'insuline
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