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Literature DB >> 3625481

Some clarifications regarding moments of residence times with pharmacokinetic models.

Abstract

The stochastic formulation of linear kinetic models is elaborated in order to introduce some new concepts and help clarify the meaning and role of residence time moments. Certain conditional moments are introduced. Multicompartment and steady-state dosing within the stochastic context are considered. A general model-independent formula for steady state volume of distribution and a new concept of steady-state moments are presented. A technique for constructing a model of a given topology from its moments is also given.

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Year: 1987 PMID： 3625481 DOI： 10.1007/BF01062940

Source DB: PubMed Journal: J Pharmacokinet Biopharm ISSN： 0090-466X

8 in total

Review 1. Benet L Z and Galeazzi R L: noncompartmental determination of the steady-state volume of distribution, J Pharm Sci 68, 1071-1074, 1979--the backstory.

Authors: Leslie Z Benet
Journal: AAPS J Date: 2012-06 Impact factor: 4.009

Review 2. Noncompartmental approach in pharmacokinetics using moments.

Authors: E A Nüesch
Journal: Drug Metab Rev Date: 1984 Impact factor: 4.518

3. Multiexponential, multicompartmental, and noncompartmental modeling. I. Methodological limitations and physiological interpretations.

Authors: J J DiStefano; E M Landaw
Journal: Am J Physiol Date: 1984-05

4. On some stochastic formulations and related statistical moments of pharmacokinetic models.

Authors: J H Matis; T E Wehrly; C M Metzler
Journal: J Pharmacokinet Biopharm Date: 1983-02

5. Some considerations on the estimation of steady state apparent volume of distribution and the relationships between volume terms.

Authors: P S Collier
Journal: J Pharmacokinet Biopharm Date: 1983-02

7. General treatment of mean residence time, clearance, and volume parameters in linear mammillary models with elimination from any compartment.

Authors: E Nakashima; L Z Benet
Journal: J Pharmacokinet Biopharm Date: 1988-10

8. Comparison of the Akaike Information Criterion, the Schwarz criterion and the F test as guides to model selection.

Authors: T M Ludden; S L Beal; L B Sheiner
Journal: J Pharmacokinet Biopharm Date: 1994-10

8 in total

Some clarifications regarding moments of residence times with pharmacokinetic models.

Review 1. Benet L Z and Galeazzi R L: noncompartmental determination of the steady-state volume of distribution, J Pharm Sci 68, 1071-1074, 1979--the backstory.

Review 2. Noncompartmental approach in pharmacokinetics using moments.

3. Multiexponential, multicompartmental, and noncompartmental modeling. I. Methodological limitations and physiological interpretations.

4. On some stochastic formulations and related statistical moments of pharmacokinetic models.

5. Some considerations on the estimation of steady state apparent volume of distribution and the relationships between volume terms.

6. Noncompartmental vs. compartmental analysis: some bases for choice.

7. Compartmental vs. noncompartmental modeling for two accessible pools.

8. Statistical moments in pharmacokinetics.

1. A general approach to non-Markovian compartmental models.

Review 2. Mean time parameters in pharmacokinetics. Definition, computation and clinical implications (Part II).

3. Estimation of permanence time, exit time, dilution factor, and steady-state volume of distribution.

4. Mean time parameters for generalized physiological flow models (semihomogeneous linear systems).

5. Generalized stochastic compartmental models with Erlang transit times.

Review 6. Current models in pharmacokinetics: applications in veterinary pharmacology.

7. General treatment of mean residence time, clearance, and volume parameters in linear mammillary models with elimination from any compartment.

8. Comparison of the Akaike Information Criterion, the Schwarz criterion and the F test as guides to model selection.