What Is the Glucose-Insulin Homeostasis (Bergman Minimal Model) Calculator?
The Bergman Minimal Model mathematically describes glucose-insulin feedback dynamics using two coupled differential equations.
How Does the Glucose-Insulin Homeostasis (Bergman Minimal Model) Calculator Work?
Combines insulin sensitivity S_I with acute first-phase insulin response AIRg; their product forms the hyperbolic Disposition Index DI.
Glucose-Insulin Homeostasis (Bergman Minimal Model) Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
ext{DI} = S_I imes ext{AIR}_g, quad ext{AIR}_g = I_{ ext{peak}} - I_b
Bergman hyperbolic Disposition Index relating insulin sensitivity and pancreatic secretory compensation.
How to Use the Glucose-Insulin Homeostasis (Bergman Minimal Model) Calculator
- Input basal fasting glucose and insulin levels, estimated S_I and S_G parameters, and peak first-phase insulin.
Step-by-Step Example Calculation
Normal Glucose Tolerant Clinical Profile
Input Values:
basalGlucoseMgDl:90
basalInsulinUuMl:8.5
siParam:4.8
sgParam:0.022
peakInsulinUuMl:65
Worked Steps: Acute insulin response AIRg = 56.5 µU/mL, Disposition Index DI = 271.2 (Healthy beta-cell compensation).
Understanding Your Result
Displays the Disposition Index DI, acute insulin response AIRg, and glucose effectiveness.
Factors That Affect the Result
- Type 2 diabetes develops when the Disposition Index falls, signaling beta-cell secretory failure unable to compensate for insulin resistance.
When Should You Use This Calculator?
- Metabolic research, clinical diabetes trials, endocrinology modeling, and artificial pancreas closed-loop control.
Assumptions & Limitations
- Applies to intravenous glucose tolerance tests; oral tests involve additional incretin GLP-1 dynamics.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard physiological Bergman minimal model formulation.