Literature DB >> 8186752

Generalized theory of the kinetics of tracers in biological systems.

M Gitterman1, G H Weiss.   

Abstract

Most theoretical analyses of tracer kinetics in capillaries contain an implicit assumption that the tissues to which they are connected have homogeneous material properties. The microscopic description of the exchange of tracer molecules and tissues is then modeled in terms of first-order kinetics. We consider a class of more general models allowing us to assess the robustness of simplifying assumptions made above. It is shown that when amorphous properties are important the kinetics of the system may differ considerably from those predicted by standard theories.

Mesh:

Year:  1994        PMID: 8186752     DOI: 10.1007/bf02460638

Source DB:  PubMed          Journal:  Bull Math Biol        ISSN: 0092-8240            Impact factor:   1.758


  9 in total

1.  A linear method for determining liver sinusoidal and extravascular volumes.

Authors:  C A GORESKY
Journal:  Am J Physiol       Date:  1963-04

2.  The capillary and sarcolemmal barriers in the heart. An exploration of labeled water permeability.

Authors:  C P Rose; C A Goresky; G G Bach
Journal:  Circ Res       Date:  1977-10       Impact factor: 17.367

3.  Two-compartment dispersion model for analysis of organ perfusion system of drugs by fast inverse Laplace transform (FILT).

Authors:  Y Yano; K Yamaoka; Y Aoyama; H Tanaka
Journal:  J Pharmacokinet Biopharm       Date:  1989-04

4.  Capillary exchange modeling. Barrier-limited and flow-limited distribution.

Authors:  C A Goresky; W H Ziegler; G G Bach
Journal:  Circ Res       Date:  1970-11       Impact factor: 17.367

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

Authors:  M Weiss
Journal:  J Math Biol       Date:  1982       Impact factor: 2.259

6.  Stochastic models for tracer experiments in the circulation. 3. The lumped catenary system.

Authors:  C W Sheppard
Journal:  J Theor Biol       Date:  1971-12       Impact factor: 2.691

7.  A model for capillary exchange.

Authors:  J A Johnson; T A Wilson
Journal:  Am J Physiol       Date:  1966-06

8.  Combined hepatic arterial-portal venous and hepatic arterial-hepatic venous perfusions to probe the abundance of drug metabolizing activities: perihepatic venous O-deethylation activity for phenacetin and periportal sulfation activity for acetaminophen in the once-through rat liver preparation.

Authors:  K S Pang; W F Cherry; J Accaputo; A J Schwab; C A Goresky
Journal:  J Pharmacol Exp Ther       Date:  1988-11       Impact factor: 4.030

9.  Tables of the Inverse Laplace Transform of the Function [Formula: see text].

Authors:  Menachem Dishon; John T Bendler; George H Weiss
Journal:  J Res Natl Inst Stand Technol       Date:  1990 Jul-Aug
  9 in total
  4 in total

1.  The anomalous pharmacokinetics of amiodarone explained by nonexponential tissue trapping.

Authors:  M Weiss
Journal:  J Pharmacokinet Biopharm       Date:  1999-08

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

Authors:  J H Matis; T E Wehrly
Journal:  J Pharmacokinet Biopharm       Date:  1998-08

3.  Exponential tails of drug disposition curves: reality or appearance?

Authors:  Michael Weiss
Journal:  J Pharmacokinet Pharmacodyn       Date:  2013-12-13       Impact factor: 2.745

4.  A non-Markovian model for calcium kinetics in the body.

Authors:  G H Weiss; R E Goans; M Gitterman; S A Abrams; N E Vieira; A L Yergey
Journal:  J Pharmacokinet Biopharm       Date:  1994-10
  4 in total

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