Literature DB >> 31332694

Bifurcation analysis in a delay model of IVGTT glucose-insulin interaction.

Fateme Mohabati1, MohammadReza Molaei2.   

Abstract

In this paper, a delayed differential model based on the intravenous glucose tolerance test is considered. The conditions to determine stability or instability of the model's steady state are obtained. We obtain the necessary conditions for the appearance of a bifurcation, and we investigate the direction and stability of the local bifurcation. For this purpose, the normal form theory is used. In addition, the numerical diagrams in the direction of theoretical results are drawn.

Entities:  

Keywords:  Center manifold; Hopf bifurcation; Stability; Time delay

Mesh：

Substances：

Year:  2019        PMID： 31332694     DOI： 10.1007/s12064-019-00298-y

Source DB:  PubMed          Journal:  Theory Biosci        ISSN： 1431-7613            Impact factor:   1.919


  18 in total

1.  Insulin sensitivity from meal tolerance tests in normal subjects: a minimal model index.

Authors:  A Caumo; R N Bergman; C Cobelli
Journal:  J Clin Endocrinol Metab       Date:  2000-11       Impact factor: 5.958

Review 2.  Computer model for mechanisms underlying ultradian oscillations of insulin and glucose.

Authors:  J Sturis; K S Polonsky; E Mosekilde; E Van Cauter
Journal:  Am J Physiol       Date:  1991-05

3.  Mathematical modelling of the intravenous glucose tolerance test.

Authors:  A De Gaetano; O Arino
Journal:  J Math Biol       Date:  2000-02       Impact factor: 2.259

4.  Minimal modeling, partition analysis, and the estimation of insulin sensitivity.

Authors:  R N Bergman; C Cobelli
Journal:  Fed Proc       Date:  1980-01

5.  Numerical bifurcation analysis of delay differential equations arising from physiological modeling.

Authors:  K Engelborghs; V Lemaire; J Bélair; D Roose
Journal:  J Math Biol       Date:  2001-04       Impact factor: 2.259

6.  Modeling the glucose-insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays.

Authors:  Jiaxu Li; Yang Kuang; Clinton C Mason
Journal:  J Theor Biol       Date:  2006-05-18       Impact factor: 2.691

7.  Insulin sensitivity and glucose effectiveness from three minimal models: effects of energy restriction and body fat in adult male rhesus monkeys.

Authors:  Theresa A Gresl; Ricki J Colman; Thomas C Havighurst; Lauri O Byerley; David B Allison; Dale A Schoeller; Joseph W Kemnitz
Journal:  Am J Physiol Regul Integr Comp Physiol       Date:  2003-07-03       Impact factor: 3.619

8.  Quantitative estimation of insulin sensitivity.

Authors:  R N Bergman; Y Z Ider; C R Bowden; C Cobelli
Journal:  Am J Physiol       Date:  1979-06

9.  Oscillatory dynamics of an intravenous glucose tolerance test model with delay interval.

Authors:  Xiangyun Shi; Yang Kuang; Athena Makroglou; Sriprakash Mokshagundam; Jiaxu Li
Journal:  Chaos       Date:  2017-11       Impact factor: 3.642

10.  A discrete Single Delay Model for the Intra-Venous Glucose Tolerance Test.

Authors:  Simona Panunzi; Pasquale Palumbo; Andrea De Gaetano
Journal:  Theor Biol Med Model       Date:  2007-09-12       Impact factor: 2.432
View more

北京卡尤迪生物科技股份有限公司 © 2022-2023.