HOMA-IR Calculator (Insulin Resistance, HOMA-%B and QUICKI)
Insulin resistance by HOMA-IR, beta-cell function by HOMA-%B and the QUICKI sensitivity index from fasting glucose and fasting insulin.
Results
What this tool does
The homeostasis model assessment, published by Matthews and colleagues in 1985, estimates insulin resistance from a single fasting blood sample: glucose in mmol/L times insulin in µU/mL, divided by 22.5 (or glucose in mg/dL times insulin, divided by 405). Higher values mean the body needs more insulin to hold glucose steady. There is no single agreed cut-off, and studies have used anywhere from about 1.5 to 3 depending on the population, so it is best read as a trend for the same lab. QUICKI, from Katz and colleagues in 2000, uses logarithms and falls as resistance rises, averaging roughly 0.38 in lean healthy people. Both need a true fast of 8–12 hours.
Formula
HOMA-IR = glucose (mmol/L) × insulin (µU/mL) ÷ 22.5 · HOMA-%B = 20 × insulin ÷ (glucose − 3.5) · QUICKI = 1 ÷ log₁₀(insulin × glucose in mg/dL)
Variables
| Symbol | Meaning | Unit |
|---|---|---|
gl | Fasting glucose | — |
un | Unit of the glucose value | — |
ins | Fasting insulin | µU/mL |
HI | HOMA-IR (insulin resistance index) | — |
QK | QUICKI (insulin sensitivity index) | — |
HB | HOMA-%B (beta-cell function) | % |
Worked example
- Fasting glucose90
- Unit of the glucose value1
- Fasting insulin8 µU/mL
- HOMA-IR (insulin resistance index)1.78
- QUICKI (insulin sensitivity index)0.350
- HOMA-%B (beta-cell function)107 %
Limitations
- This tool is informational only. It does not diagnose, treat or replace a qualified health professional. Speak to a doctor before making decisions about your health.
- For work that must comply with a standard or be signed off, check the result against the applicable code and have it reviewed by a qualified engineer.