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Literature DB >> 6491545

A note on the rôle of generalized inverse Gaussian distributions of circulatory transit times in pharmacokinetics.

Abstract

Based on a stochastic pharmacokinetical model (which mirrors topological properties of the circulatory system) it is shown by reinterpreting results of Wise (1974) that if the transit times of circulating drug molecules have a generalized inverse Gaussian distribution the corresponding residence times are gamma distributed. The condition that the probability of elimination of a drug molecule in a single circulatory passage is sufficiently small appears to be valid for most drugs. Thus theoretical evidence is given for fitting blood concentration-time curves following bolus injection of a single dose by power functions of time.

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Year: 1984 PMID： 6491545 DOI： 10.1007/bf00275864

Source DB: PubMed Journal: J Math Biol ISSN： 0303-6812 Impact factor: 2.259

11 in total

Review 1. Applications of a recirculatory stochastic pharmacokinetic model: limitations of compartmental models.

Authors: D P Vaughan; I Hope
Journal: J Pharmacokinet Biopharm Date: 1979-04

2. A unified theory for estimation of cardiac output, volumes of distribution and renal clearance from indicator dilution curves.

Authors: L D Homer; A Small
Journal: J Theor Biol Date: 1977-02-07 Impact factor: 2.691

4. Tissue distribution kinetics as determinant of transit time dispersion of drugs in organs: application of a stochastic model to the rat hindlimb.

Authors: M Weiss; M S Roberts
Journal: J Pharmacokinet Biopharm Date: 1996-04

5. Generalizations in linear pharmacokinetics using properties of certain classes of residence time distributions. I. Log-convex drug disposition curves.

Authors: M Weiss
Journal: J Pharmacokinet Biopharm Date: 1986-12

A note on the rôle of generalized inverse Gaussian distributions of circulatory transit times in pharmacokinetics.

Review 1. Applications of a recirculatory stochastic pharmacokinetic model: limitations of compartmental models.

2. A unified theory for estimation of cardiac output, volumes of distribution and renal clearance from indicator dilution curves.

3. Importance of tissue distribution in determining drug disposition curves.

4. Use of gamma distributed residence times in pharmacokinetics.

5. Amiodarone disposition: polyexponential, power and gamma functions.

6. Modelling of initial distribution of drugs following intravenous bolus injection.

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

8. Power functions in physiology and pharmacology.

9. A circulatory model for human metabolism.

10. Moments of physiological transit time distributions and the time course of drug disposition in the body.

Review 1. Mean time parameters in pharmacokinetics. Definition, computation and clinical implications (Part II).

Review 2. Advanced pharmacokinetic models based on organ clearance, circulatory, and fractal concepts.

3. Estimation of parameters for the elimination of an orally administered test substance with unknown absorption.

4. Tissue distribution kinetics as determinant of transit time dispersion of drugs in organs: application of a stochastic model to the rat hindlimb.

5. Generalizations in linear pharmacokinetics using properties of certain classes of residence time distributions. I. Log-convex drug disposition curves.

6. Negative power functions of time in pharmacokinetics and their implications.

7. Two exceptional sets of physiological clearance curves and their mathematical form: test cases?

8. Reversible jump Markov chain Monte Carlo for deconvolution.