Matthews et al used the Homeostasis Model Assessment (HOMA) to predict the homeostatic concentrations of fasting insulin and glucose which arise from varying degrees of beta-cell deficiency and insulin resistance. The model is nonlinear but can be approximated by simple mathematical approximations.


insulin resistance =

= (fasting insulin in mU/L) * (fasting plasma glucose in mmol/L) / 22.5


beta-cell function in percent =

= 20 * (fasting insulin in mU/L) / ((fasting glucose in mmol/L) – 3.5)


The values can be read directly from Figure 1, page 413, in Matthews et al (1985).


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