Grey-box pharmacokinetic/pharmacodynamic modelling of a euglycaemic clamp study

Grey-box pharmacokinetic/pharmacodynamic (PK/PD) modelling is presented as a promising way of modelling the pharmacokinetics and pharmacodynamics of the in vivo system of insulin and glucose and to estimate model and derived PK/PD parameters. The concept behind grey-box modelling consists in using a priori physiological knowledge along with information from data in the estimation of model parameters.

The PK/PD properties of two types of insulin are investigated in a euglycaemic clamp study where a single bolus of insulin is injected subcutaneously. The effect of insulin on the glucose disappearance is investigated by artificially maintaining a blood glucose concentration close to the normal fasting level.

The infused glucose needed to maintain the clamped blood glucose concentration can therefore be used as a measure for the glucose utilization. The PK and PD parameters are successfully estimated simultaneously thereby describing the uptake, distribution, and effect of the two different types of insulin.