This work describes quantification of regulatory mechanisms glucose-insulin, using data from a frequently sampled intravenous glucose tolerance test (FSIVGTT) and a mechanistically motivated model with time delays. FSIVGTT was performed on 14 young healthy volunteers. The constructed model computationally takes into account the form of the short-time glucose infusion used. Estimated model parameters are used to derive relationships quantifying the following mechanisms of regulatory systems glucose-insulin of the volunteers enrolled: (1) glucose uptake by body cells; (2) cessation (suppression) of glucose output from liver; (3) glucose clearance. The model presented correctly approximates initial peaks and subsequent waves in plasma glucose concentration-time profiles after the glucose infusion. These results indicate that the model presented is an appropriate tool for assessing glucose behavior during a FSIVGTT.