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

No abstract is available for this paper.

• Publication year

  2017

• Venue

  Chaos

• Publication date

  2017-11-09

• Fields of study

  Mathematics, Medicine, Engineering, Computer Science

• Identifiers
  DOI 10.1063/1.5008384PMID 29195308
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Continuous Structured Population Models for Daphnia magna

  2017cited by this paper
• Pulsatile insulin secretion, impaired glucose tolerance and type 2 diabetes.

  2015cited by this paper
• Glucose effectiveness in nondiabetic relatives: dysglycemia and β-cell function at 10 years.

  2014cited by this paper
• Pathophysiology and treatment of type 2 diabetes: perspectives on the past, present, and future.

  2014cited by this paper
• Can Mathematical Models Predict the Outcomes of Prostate Cancer Patients Undergoing Intermittent Androgen Deprivation Therapy

  2014cited by this paper
• The range of time delay and the global stability of the equilibrium for an IVGTT model.

  2012cited by this paper
• Advantages of the single delay model for the assessment of insulin sensitivity from the intravenous glucose tolerance test

  2010cited by this paper
• Current approaches for assessing insulin sensitivity and resistance in vivo: advantages, limitations, and appropriate usage.

  2008cited by this paper
• Analysis of a Model of the Glucose-Insulin Regulatory System with Two Delays

  2007cited by this paper
• Mathematical models and software tools for the glucose-insulin regulatory system and diabetes: an overview

  2006cited by this paper
• Contributions of beta-cell dysfunction and insulin resistance to the pathogenesis of impaired glucose tolerance and impaired fasting glucose.

  2006cited by this paper
• Contributions of β-Cell Dysfunction and Insulin Resistance to the Pathogenesis of Impaired Glucose Tolerance and Impaired Fasting Glucose A table elsewhere in this issue shows conventional and Système International (SI) units and conversion factors for many substances.

  2006cited by this paper
• Qualitative behaviour of a family of delay-differential models of the glucose-insulin system

  2006cited by this paper
• Modeling the glucose-insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays.

  2006cited by this paper
• Minimal Model: Perspective from 2005

  2006cited by this paper
• Global stability in a model of the glucose-insulin interaction with time delay

  2004cited by this paper
• MINMOD Millennium: A Computer Program to Calculate Glucose Effectiveness and Insulin Sensitivity from the Frequently Sampled Intravenous Glucose Tolerance Test

  2003cited by this paper
• Analysis of IVGTT glucose-insulin interaction models with time delay

  2001cited by this paper
• Mathematical modelling of the intravenous glucose tolerance test

  2000cited by this paper
• Undermodeling affects minimal model indexes: insights from a two-compartment model.

  1999cited by this paper
• How to measure insulin sensitivity

  1998cited by this paper
• Computer model for mechanisms underlying ultradian oscillations of insulin and glucose.

  1991cited by this paper
• Impaired pulsatile secretion of insulin in relatives of patients with non-insulin-dependent diabetes.

  1988cited by this paper
• Brief, Irregular Oscillations of Basal Plasma Insulin and Glucose Concentrations in Diabetic Man

  1981cited by this paper
• Minimal modeling, partition analysis, and the estimation of insulin sensitivity.

  1980cited by this paper
• Quantitative estimation of insulin sensitivity.

  1979cited by this paper
• Theoretical Biology and Medical Modelling Open Access a Discrete Single Delay Model for the Intra-venous Glucose Tolerance Test

  year unknowncited by this paper

• Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay

  2024cites this paper
• A DELAY DYNAMICAL SYSTEM’S PERSPECTIVE ON THE GLUCOSE–INSULIN REGULATORY RESPONSE TO ON–OFF GLUCOSE INFUSION

  2023cites this paper
• Nilpotent Singularities and Periodic Perturbation of a $$GI\beta $$ G I β Model: A Pathway to Glucose Disorder

  2023cites this paper
• Examining Type 1 Diabetes Mathematical Models Using Experimental Data

  2022cites this paper
• Mathematical modelling of glucose dynamics

  2022cites this paper
• Contemporary Delay Differential Equation Models and Analysis in Mathematical Biology

  2021cites this paper
• The effect of delay interval on the feedback control for a turbidostat model

  2021cites this paper
• Learn one size to infer all: Exploiting translational symmetries in delay-dynamical and spatiotemporal systems using scalable neural networks.

  2021cites this paper
• Modeling Impulsive Intake of Glucose: The Significance of Diet to Glucose-Insulin System

  2020cites this paper
• Amplitude and Frequency Variation in Nonlinear Glucose Dynamics with Multiple Delays via Periodic Perturbation

  2020cites this paper
• Stochastic resonance in a monostable system driven by time-delayed feedback

  2020cites this paper
• Analysis of a stochastic IVGTT glucose-insulin model with time delay.

  2020cites this paper
• Optimal selection of injection doses and injection timings for insulin therapy in a limited time

  2020cites this paper
• Geometric stability switch criteria in delay differential equations with two delays and delay dependent parameters

  2019cites this paper
• Nonlinear Physiological Model of Insulin-Glucose Regulation System in Type 1 Diabetes Mellitus

  2019cites this paper
• Bifurcation analysis in a delay model of IVGTT glucose–insulin interaction

  2019cites this paper
• Ultradian rhythms in glucose regulation: A mathematical assessment

  2019cites this paper
• Delay Differential Equations : Theory , Applications , New Trends ( DDEs-TANTs 2018 )

  2018cites this paper
• Delay Differential Equations: Theory, Applications and New Trends (DDEs-TANTs)

  2018cites this paper
• Mathematical description of the ultradian oscillations in the glucose-insulin regulatory system

  2018influential citation
• Introduction to Focus Issue: Time-delay dynamics.

  2017cites this paper