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On hyperglicemic glucose basal levels in Type 1 Diabetes Mellitus from dynamic analysis
1Laboratorio para Biodinámica y Sistemas Alineales, División de Matemáticas Aplicadas IPICyT, Apdo Postal 3-90 Tangamanga, 78231 San Luis Potosí, SLP, Mexico. gquiroz@ipicyt.edu.mx
Mathematical Biosciences
|August 22, 2007
Summary
Compartmental-Physiological Models (CPMs) can simulate severe hyperglycemia in Diabetes Mellitus (DM). Parametric sensitivity analysis shows CPMs can represent distinct high glucose levels, validating their use in realistic DM modeling.
Area of Science:
- Biomedical Engineering
- Physiological Modeling
- Endocrinology
Background:
- Compartmental-Physiological Models (CPMs) are utilized for glucose regulation in Diabetes Mellitus (DM).
- Existing CPMs face criticisms regarding their ability to model severe hyperglycemia and parameter uniqueness.
Purpose of the Study:
- To address criticisms of CPMs in Diabetes Mellitus (DM) by investigating their parametric sensitivity.
- To determine if CPMs can reproduce distinct severe basal glucose levels and if glucose levels are unique despite parameter changes.
Main Methods:
- Analysis of the parametric sensitivity and dynamic properties of a chosen CPM.
- Selection of a CPM that incorporates key organs (liver, brain, kidney) and metabolic phenomena (glucagon, hepatic glucose uptake/production) relevant to Type 1 Diabetes Mellitus (T1DM).
Main Results:
- The study demonstrates that the chosen CPM can reproduce distinct severe basal glucose levels (>300 mg/dl) by altering metabolic parameters.
- This finding supports the model's capability to represent realistic scenarios in Diabetes Mellitus.
Conclusions:
- CPMs, through parametric sensitivity analysis, can effectively simulate distinct severe basal glucose levels in Diabetes Mellitus.
- The validated CPM is suitable for designing feedback controllers for glucose regulation in T1DM.
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