Hannah Al Ali ; Boutayeb Wiam ; Boutayeb Abdesslam ; Merabet Nora - A mathematical model on the effect of growth hormone on glucose homeostasis

arima:4945 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, June 8, 2019, Volume 30 - 2019 - MADEV health and energy (2017) - https://doi.org/10.46298/arima.4945
A mathematical model on the effect of growth hormone on glucose homeostasisArticle

Authors: Hannah Al Ali 1; Boutayeb Wiam ORCID2; Boutayeb Abdesslam 1; Merabet Nora 1

  • 1 School of Mathematics, Statistics & Computing
  • 2 Department of Mathematics

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.

https://doi.org/10.46298/arima.4945
Source: HAL:hal-01909877v3
Volume: Volume 30 - 2019 - MADEV health and energy (2017)
Published on: June 8, 2019
Accepted on: April 1, 2019
Submitted on: October 31, 2018
Keywords: Receptor Dynamics,Growth Hormone,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,[MATH]Mathematics [math],[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]

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