HOMA1-IR, HOMA1-β and QUICKI Calculator
Use fasting glucose and fasting insulin from the same sampling occasion. Insulin is in µU/mL (numerically identical to mU/L). Nonfasting or acutely changing metabolic states may invalidate interpretation.
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HOMA-IR Insulin resistance (HOMA1)
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HOMA-β Beta-cell function (HOMA1)
—%
Not calculated for glucose at or below 63 mg/dL (denominator is nonpositive).
QUICKI Insulin sensitivity index
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Not calculated when the sum of the logarithms is nonpositive.
These are fasting research indices, not standalone diagnostic tests. Interpreting their values depends on study population and insulin assay; no universal diagnostic cutoffs are supplied.
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Equations, limits, and original sources
HOMA1 and QUICKI equations
HOMA1-IR = fasting insulin (µU/mL) × fasting glucose (mg/dL) / 405. HOMA1-β (%) = 360 × fasting insulin / (fasting glucose − 63), with glucose in mg/dL. Use 1 mmol/L glucose = 18 mg/dL.
QUICKI = 1 / [log₁₀(insulin µU/mL) + log₁₀(glucose mg/dL)]. Logs are base 10, not natural logarithms. These simple HOMA1 equations are NOT the computerized HOMA2 method.
Hypothetical example
Fasting glucose 90 mg/dL and insulin 10 µU/mL: HOMA1-IR 2.22, HOMA1-β 133.3%, QUICKI 0.3385, rounded for display. These are not universal diagnostic thresholds.
Population and applicability
Interpretation depends on fasting steady state and assay method. Exogenous insulin, acute metabolic variation, and cohort differences can make the model unsuitable. No population-specific thresholds for pregnancy or pediatrics are established on this page.
Sources and approval
HOMA1 (Matthews et al., 1985), QUICKI (Katz et al., 2000). Sources checked 2026-11-10.