A semiparametric approach to physiological flow models

Journal of Pharmacokinetics and Biopharmaceutics

Volumn 17, Issue 4, 1989, Pages 463-491

  Verotta, Davide ^a   Sheiner, Lewis B ^a   Ebling, William F ^b   Stanski, Donald R ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b STANFORD UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

arterial to tissue partition coefficient; clearance rates; convolution; deconvolution; linear systems theory; parametric physiological modeling; semiparametric physiological modeling; simulation

Indexed keywords

THIOPENTAL;

ANIMAL EXPERIMENT; ARTICLE; BLOOD FLOW; DRUG DISTRIBUTION; DRUG TISSUE LEVEL; INTRAVENOUS DRUG ADMINISTRATION; METHODOLOGY; NONBIOLOGICAL MODEL; NONHUMAN; PHARMACOKINETICS; RAT;

MODELS, BIOLOGICAL; PERFUSION; PHARMACOKINETICS; REGIONAL BLOOD FLOW; SUPPORT, U.S. GOV'T, P.H.S.; TISSUE DISTRIBUTION;

EID: 0024834647     PISSN: 0090466X     EISSN: 15738744     Source Type: Journal    
DOI: 10.1007/BF01061458     Document Type: Article

References (34)

1. Some mathematical aspects of chemotherapy: I. One-organ models
2. Some mathematical aspects of chemotherapy: II. The distribution of drug in the body
3. Some fundamental considerations of the application of pharmacokinetics to cancer therapy
4. Estimation of tissue-to plasma partition coefficients used in physiological pharmacokinetic models
5. Area method for the estimation of partition coefficients for physiological pharmacokinetic models
6. Development and identification of a multicompartmental model for the distribution of adriamycin in the rat
7. Theory and transport in linear biological systems: I. Fundamental integral equation
8. Theory and transport in linear biological systems: II. Multiflux problems
9. Lidocaine disposition kinetics in monkey and man. I. Predicted by a perfusion model
10. Models of hepatic elimination: Comparison of stochastic models to describe residence time distributions and to predict the influence of drug distribution, enzyme heterogeneity, and systemic recycling of hepatic elimination
11. Clearance concepts in pharmacokinetics
12. Identifiability of compartmental systems and related structural properties
13. Numerical parameter identifiability and estimability: integrating identifiability, estimability, and optimal sampling design
14. Controlled release of tetracycline—III: A physiological pharmacokinetic model of the pregnant rat
15. A physiologically based pharmacokinetic model for theophylline disposition in the pregnant and nonpregnant rat
16. Transport and binding of methotrexate in vivo
17. Mathematical basis of point-area deconvolution method for determining in vivo input functions
18. An inequality-constrained least-squares deconvolution method
19. Theorems on linear systems
20. Theorems and implications of a model-independent elimination/distribution function decomposition of linear and some nonlinear drug disposition. I. Derivations and theoretical analysis
21. Animal scale-up
22. Interspecies scaling, allometry, physiological time and the ground plan of pharmacokinetics
23. A note on the generation of random normal deviates
24. A novel pharmacokinetic method for analysis of placental transfer of latamoxef in humans
25. Drug kinetics in low-flux (small) anatomic compartments
26. Maximum entropy and its application to the calculation of drug absorption rates
27. Numerical deconvolution by least squares: use of prescribed input functions
28. Measurement of the distribution of cardiac output in unanesthetized rats
29. The use of mass balance principles to describe regional drug distribution and elimination
30. Concepts, properties, measurement, and computation of clearance rates of hormones and other substances in biological systems
31. Comments on mean residence time determination