Warning: Undefined array key "mm" in /www/wwwroot/www.ai-bt.com/si.php on line 10 Deprecated: trim(): Passing null to parameter #1 ($string) of type string is deprecated in /www/wwwroot/www.ai-bt.com/si.php on line 10 Number of exponential terms describing the solution of an N-compartmental mammillary model: vanishing exponentials.

Literature DB >> 529020

Number of exponential terms describing the solution of an N-compartmental mammillary model: vanishing exponentials.

Abstract

The solution for a linear mammillary model is always described by a summation of m + 1 negative exponential terms with constant coefficients. m + 1 less than or equal to N, where N is the number of compartments in the model. m is equal to the number of distinct values for the peripheral Ej values. Use is made of matrix notation and the theorems of Browne concerning the eigenvalues of a matrix. The consequences of vanishing exponentials are derived, and in particular the apparent volume of distribution frequently calculated from experimental data is shown not to be unique.

Mesh：

Substances：

Year: 1979 PMID： 529020 DOI： 10.1007/BF01062392

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

6 in total

5. Pharmacokinetic basis for the influence of route of administration on the area under the plasma concentration-time curve.

Authors: M Gibaldi; S Feldman
Journal: J Pharm Sci Date: 1969-12 Impact factor: 3.534

6. Model independent derivation of general equations for the "first-pass" effect and extra-hepatic drug elimination.

Authors:
Journal: Eur J Clin Pharmacol Date: 1977 Impact factor: 2.953

6 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. Properties of the recirculation model: matrix description and conditions for a monotonic decreasing single pass response.

Authors: D J Cutler
Journal: J Pharmacokinet Biopharm Date: 1981-04

3. Mathematical basis and generalization of the Loo-Riegelman method for the determination of in vivo drug absorption.

Authors: D P Vaughan; M Dennis
Journal: J Pharmacokinet Biopharm Date: 1980-02

4. Simultaneous determination of the intravenous and oral pharmacokinetic parameters of D,L-verapamil using stable isotope-labelled verapamil.

Authors: M Eichelbaum; A Somogyi; G E von Unruh; H J Dengler
Journal: Eur J Clin Pharmacol Date: 1981-01 Impact factor: 2.953

5. Determinants of Biological Half-Lives and Terminal Slopes in Physiologically Based Pharmacokinetic Systems: Assessment of Limiting Conditions.

Authors: Yoo-Seong Jeong; William J Jusko
Journal: AAPS J Date: 2022-08-30 Impact factor: 3.603

6. Consideration of Fractional Distribution Parameter f_d in the Chen and Gross Method for Tissue-to-Plasma Partition Coefficients: Comparison of Several Methods.

Authors: Yoo-Seong Jeong; William J Jusko
Journal: Pharm Res Date: 2022-03-14 Impact factor: 4.580

6 in total

Number of exponential terms describing the solution of an N-compartmental mammillary model: vanishing exponentials.

1. Derivation of general equations for linear mammillary models when the drug is administered by different routes.

2. The pharmacokinetics of chlormethiazole following intravenous administration in the aged.

3. Linear pharmacokinetic models and vanishing exponential terms: implications in pharmacokinetics.

4. General treatment of linear mammillary models with elimination from any compartment as used in pharmacokinetics.

5. Pharmacokinetic basis for the influence of route of administration on the area under the plasma concentration-time curve.

6. Model independent derivation of general equations for the "first-pass" effect and extra-hepatic drug elimination.

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

2. Properties of the recirculation model: matrix description and conditions for a monotonic decreasing single pass response.

3. Mathematical basis and generalization of the Loo-Riegelman method for the determination of in vivo drug absorption.

4. Simultaneous determination of the intravenous and oral pharmacokinetic parameters of D,L-verapamil using stable isotope-labelled verapamil.

5. Determinants of Biological Half-Lives and Terminal Slopes in Physiologically Based Pharmacokinetic Systems: Assessment of Limiting Conditions.

6. Consideration of Fractional Distribution Parameter f_d in the Chen and Gross Method for Tissue-to-Plasma Partition Coefficients: Comparison of Several Methods.