Abstract.
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.
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Tornøe, C., Jacobsen, J. & Madsen, H. Grey-box pharmacokinetic/pharmacodynamic modelling of a euglycaemic clamp study. J. Math. Biol. 48, 591–604 (2004). https://doi.org/10.1007/s00285-003-0257-z
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DOI: https://doi.org/10.1007/s00285-003-0257-z