Open-loop glucose-insulin control with threshold secretory mechanism: Analysis of intravenous glucose tolerance tests in man
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Summary
A mathematical model was developed and subsequently applied to the intravenous tolerance test (IVGTT) obtained in human subjects and indicated that the model can account for the variety of insulin response curves found experimentally and provided the parameters of the system.
- Type
- article
- Published
- 1975-01-01
- Cited by
- 31
- References
- 13
- OpenAlex
- https://openalex.org/W2093618145
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:122530859
Keywords
Insulin, Endocrinology, Internal medicine, Glucose tolerance test, Biology
References
- Derivation of a three compartment model describing disappearance of plasma insulin-131-I in man.
- A Mathematical Model of the Glucose-tolerance test
- Investigation of some theoretical models relating the concentrations of glucose and insulin in plasma.
- Threshold secretory mechanism: a model of derivative element in biological control.
- An in numero study of glucose-insulin interaction.
- A mathematical model for the control mechanism of free fatty acid-glucose metabolism in normal humans.
- Mathematical description of the blood sugar system
- Dynamics of insulin secretion by the perfused rat pancreas.
- Do the Oral and Intravenous Glucose Tolerance Tests Provide Similar Diagnostic Information in Patients with Chemical Diabetes Mellitus?
- A threshold distribution hypothesis for packet storage of insulin and its mathematical modeling.
- The dynamics of blood sugar regulation.
- Coefficients of normal blood glucose regulation.
Cited by
- The Insulin Sensitivity Index: Correlation in Dogs Between Values Determined from the Intravenous Glucose Tolerance Test and the Euglycemic Glucose Clamp
- Models for the insulin response to intravenous glucose
- The evolution of β‐cell dysfunction and insulin resistance in type 2 diabetes
- How to measure insulin secretion.
- Minimal models of glucose/insulin dynamics in the intact organism
- Insights to the minimal model of insulin secretion through a mean-field beta cell model.
- Mathematical Beta Cell Model for Insulin Secretion following IVGTT and OGTT
- Mathematical models of insulin secretion in physiological and clinical investigations.
- Advancing Our Understanding of the Glucose System via Modeling: A Perspective
- On parameter and structural identifiability: Nonunique observability/reconstructibility for identifiable systems, other ambiguities, and new definitions
- β‐cell function assessment from modelling of oral tests: an effective approach
- Effect of hemipancreatectomy and of pancreatic diversion on the tolerance to a glucose load in humans
- On a simple model of insulin secretion
- Selective effects of secretagogues on insulin secretion: a mathematical model.
- Importance of Glucose Per Se to Intravenous Glucose Tolerance: Comparison of the Minimal-Model Prediction with Direct Measurements
- Estimation of β-Cell Sensitivity From Intravenous Glucose Tolerance Test C-Peptide Data: Knowledge of the Kinetics Avoids Errors in Modeling the Secretion
- Quantitative estimation of insulin sensitivity.
- Quantitative Estimation of Beta Cell Sensitivity to Glucose in the Intact Organism: A Minimal Model of Insulin Kinetics in the Dog
- Assessment of beta-cell function in humans, simultaneously with insulin sensitivity and hepatic extraction, from intravenous and oral glucose tests.
- Multiscale modelling of insulin secretion during an intravenous glucose tolerance test
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