On some stochastic formulations and related statistical moments of pharmacokinetic models
- 1 February 1983
- journal article
- research article
- Published by Springer Nature in Journal of Pharmacokinetics and Biopharmaceutics
- Vol. 11 (1) , 77-92
- https://doi.org/10.1007/bf01061769
Abstract
This paper presents the deterministic and stochastic model for a linear compartment system with constant coefficients, and it develops expressions for the mean residence times (MRT) and the variances of the residence times (VRT) for the stochastic model. The expressions are relatively simple computationally, involving primarily matrix inversion, and they are elegant mathematically, in avoiding eigenvalue analysis and the complex domain. The MRT and VRT provide a set of new meaningful response measures for pharmacokinetic analysis and they give added insight into the system kinetics. The new analysis is illustrated with an example involving the cholesterol turnover in rats.This publication has 14 references indexed in Scilit:
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