ArticleTheoretical biology & medical modelling2012
Dynamics of glucose and insulin concentration connected to the β-cell cycle: model development and analysis.
Article in Theoretical biology & medical modelling, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
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Who cites it
11 citing papers in PubMed, 21 citations in OpenAlex.
- Islet Function and Insulin Sensitivity in Latent Autoimmune Diabetes in Adults Taking Sitagliptin: A Randomized Trial.The Journal of clinical endocrinology and metabolism · 2021Trial
- Beneficial Changes in Apolipoprotein Concentrations After Bariatric Surgery in Obese Women.Metabolites · 2026Article
- Comparative analyses of serum parameters between nontransgenic and transgenic male chickens expressing the 3D8 single-chain variable fragment gene, and mortality and growth characteristics.Animal bioscience · 2025Article
- Fatty acids and physical activity are critical for β-cell mass and insulin sensitivity: Pathways to T2D and prevention.Journal of theoretical biology · 2025Article
- Incremental modelling and analysis of biological systems with fuzzy hybrid Petri nets.Briefings in bioinformatics · 2024Article
- Liver fat metabolism of broilers regulated byFrontiers in microbiology · 2022Article
- Determination of selected biochemical parameters in blood serum and egg quality of Czech and Slovak native hens depending on the housing system and hen age.Poultry science · 2021Article
- A closed-loop multi-level model of glucose homeostasis.PloS one · 2018Article
- A Comparison of Deterministic and Stochastic Modeling Approaches for Biochemical Reaction Systems: On Fixed Points, Means, and Modes.Frontiers in genetics · 2016Article
- Development, growth and maintenance of β-cell mass: models are also part of the story.Molecular aspects of medicine · 2015Review
- A novel method for simulating insulin mediated GLUT4 translocation.Biotechnology and bioengineering · 2014Article
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Authors and funding
4 authors at 2 institutions in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
backgroundDiabetes mellitus is a group of metabolic diseases with increased blood glucose concentration as the main symptom. This can be caused by a relative or a total lack of insulin which is produced by the β-cells in the pancreatic islets of Langerhans. Recent experimental results indicate the relevance of the β-cell cycle for the development of diabetes mellitus.
methodsThis paper introduces a mathematical model that connects the dynamics of glucose and insulin concentration with the β-cell cycle. The interplay of glucose, insulin, and β-cell cycle is described with a system of ordinary differential equations. The model and its development will be presented as well as its mathematical analysis. The latter investigates the steady states of the model and their stability.
resultsOur model shows the connection of glucose and insulin concentrations to the β-cell cycle. In this way the important role of glucose as regulator of the cell cycle and the capability of the β-cell mass to adapt to metabolic demands can be presented. Simulations of the model correspond to the qualitative behavior of the glucose-insulin regulatory system showed in biological experiments.
conclusionsThis work focus on modeling the physiological situation of the glucose-insulin regulatory system with a detailed consideration of the β-cell cycle. Furthermore, the presented model allows the simulation of pathological scenarios. Modification of different parameters results in simulation of either type 1 or type 2 diabetes.
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