Grey-box modelling of pharmacokinetic/pharmacodynamic systems
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Grey-box modelling of pharmacokinetic/pharmacodynamic systems. / Tornøe, Christoffer Wenzel; Jacobsen, Judith L; Pedersen, Oluf; Hansen, Torben; Madsen, Henrik Tækker.
In: Journal of Pharmacokinetics and Pharmacodynamics, Vol. 31, No. 5, 2004, p. 401-17.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Grey-box modelling of pharmacokinetic/pharmacodynamic systems
AU - Tornøe, Christoffer Wenzel
AU - Jacobsen, Judith L
AU - Pedersen, Oluf
AU - Hansen, Torben
AU - Madsen, Henrik Tækker
PY - 2004
Y1 - 2004
N2 - Grey-box pharmacokinetic/pharmacodynamic (PK/PD) modelling is presented as a promising way of modelling PK/PD systems. The concept behind grey-box modelling is based on combining physiological knowledge along with information from data in the estimation of model parameters. Grey-box modelling consists of using stochastic differential equations (SDEs) where the stochastic term in the differential equations represents unknown or incorrectly modelled dynamics of the system. The methodology behind the grey-box PK/PD modelling framework for systematic model improvement is illustrated using simulated data and furthermore applied to Bergman's minimal model of glucose kinetics using clinical data from an intravenous glucose tolerance test (IVGTT). The grey-box estimates of the stochastic system noise parameters indicate that the glucose minimal model is too simple and should preferably be revised in order to describe the complicated in vivo system of insulin and glucose following an IVGTT.
AB - Grey-box pharmacokinetic/pharmacodynamic (PK/PD) modelling is presented as a promising way of modelling PK/PD systems. The concept behind grey-box modelling is based on combining physiological knowledge along with information from data in the estimation of model parameters. Grey-box modelling consists of using stochastic differential equations (SDEs) where the stochastic term in the differential equations represents unknown or incorrectly modelled dynamics of the system. The methodology behind the grey-box PK/PD modelling framework for systematic model improvement is illustrated using simulated data and furthermore applied to Bergman's minimal model of glucose kinetics using clinical data from an intravenous glucose tolerance test (IVGTT). The grey-box estimates of the stochastic system noise parameters indicate that the glucose minimal model is too simple and should preferably be revised in order to describe the complicated in vivo system of insulin and glucose following an IVGTT.
KW - Blood Glucose
KW - Glucose Tolerance Test
KW - Humans
KW - Insulin
KW - Models, Biological
KW - Stochastic Processes
M3 - Journal article
C2 - 15669774
VL - 31
SP - 401
EP - 417
JO - Journal of Pharmacokinetics and Pharmacodynamics
JF - Journal of Pharmacokinetics and Pharmacodynamics
SN - 1567-567X
IS - 5
ER -
ID: 38456945