modelling flow-dependent clearance

From: Rik Schoemaker Date: December 11, 1995 technical Source: cognigencorp.com
From rs@chdr.leidenuniv.nl Mon Dec 11 16:40:20 1995 Subject: modelling flow-dependent clearance To anyone who can give me a clue... I'm trying to model the kinetics of a test-drug with high hepatic clearance given as an intravenous infusion (single compartment kinetics to start with). Clearance of the drug is assumed dependent on hepatic blood flow which is measured using echo-doppler techniques, and which can vary continously over time. It seems to me that I need to model the kinetics using a differential equation (e.g. using ADVAN6) in which clearance is some function (presumably linear) of measured flow. So far so good. The trouble is that I'm pretty certain that I need flow-estimates in between the actual measurements in order to adequately define the process. Something as simple as linear interpolation or else some smooth function would suffice but I have no clue as to the implementation of such a function in NONMEM. Naturally, if someone could convince me that this is not necessary, I'd be more than pleased... Grateful for any response, Rik Schoemaker CHDR, Leiden, The Netherlands
Dec 11, 1995 Rik Schoemaker modelling flow-dependent clearance
Dec 12, 1995 Ruediger Port interpolation with diff. eqn.