Application of Moment Analysis to Nonlinear Drug Disposition Described by the Michaelis–Menten Equation

Andrew T. Chow; William J. Jusko

doi:10.1023/A:1016486012446

Application of Moment Analysis to Nonlinear Drug Disposition Described by the Michaelis–Menten Equation

Andrew T. Chow
, William J. Jusko

Pharmaceutical Sciences

SUNY Buffalo

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

An equation for the mean residence time (MRT) of drug in the body is derived for the system where drug is injected intravenously into a one-compartment model and eliminated by a single, capacity-limited process. This MRT is a complex function of dose, volume, V_m, and K_m but degenerates into the classical volume/clearance expression under limiting low-dose conditions (K_m ≫ C₀). The equation was validated by comparison of the MRT obtained by direct calculation versus numerical area estimation for simulated data. The equation may be useful analytically in the estimation of the fundamental Michaelis–Menten parameters, V_m and K_m, from experimental data.

Original language	English
Pages (from-to)	59-61
Number of pages	3
Journal	Pharmaceutical Research
Volume	4
Issue number	1
DOIs	https://doi.org/10.1023/A:1016486012446
State	Published - Feb 1987

Keywords

mean residence time
Michaelis–Menten elimination
one-compartment model
pharmacokinetics

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title = "Application of Moment Analysis to Nonlinear Drug Disposition Described by the Michaelis–Menten Equation",

abstract = "An equation for the mean residence time (MRT) of drug in the body is derived for the system where drug is injected intravenously into a one-compartment model and eliminated by a single, capacity-limited process. This MRT is a complex function of dose, volume, Vm, and Km but degenerates into the classical volume/clearance expression under limiting low-dose conditions (Km ≫ C0). The equation was validated by comparison of the MRT obtained by direct calculation versus numerical area estimation for simulated data. The equation may be useful analytically in the estimation of the fundamental Michaelis–Menten parameters, Vm and Km, from experimental data.",

keywords = "mean residence time, Michaelis–Menten elimination, one-compartment model, pharmacokinetics",

author = "Chow, \{Andrew T.\} and Jusko, \{William J.\}",

year = "1987",

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AU - Chow, Andrew T.

AU - Jusko, William J.

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N2 - An equation for the mean residence time (MRT) of drug in the body is derived for the system where drug is injected intravenously into a one-compartment model and eliminated by a single, capacity-limited process. This MRT is a complex function of dose, volume, Vm, and Km but degenerates into the classical volume/clearance expression under limiting low-dose conditions (Km ≫ C0). The equation was validated by comparison of the MRT obtained by direct calculation versus numerical area estimation for simulated data. The equation may be useful analytically in the estimation of the fundamental Michaelis–Menten parameters, Vm and Km, from experimental data.

AB - An equation for the mean residence time (MRT) of drug in the body is derived for the system where drug is injected intravenously into a one-compartment model and eliminated by a single, capacity-limited process. This MRT is a complex function of dose, volume, Vm, and Km but degenerates into the classical volume/clearance expression under limiting low-dose conditions (Km ≫ C0). The equation was validated by comparison of the MRT obtained by direct calculation versus numerical area estimation for simulated data. The equation may be useful analytically in the estimation of the fundamental Michaelis–Menten parameters, Vm and Km, from experimental data.

KW - mean residence time

KW - Michaelis–Menten elimination

KW - one-compartment model

KW - pharmacokinetics

UR - https://www.scopus.com/pages/publications/0023133981

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AN - SCOPUS:0023133981

SN - 0724-8741

VL - 4

SP - 59

EP - 61

JO - Pharmaceutical Research

JF - Pharmaceutical Research

IS - 1

ER -

Application of Moment Analysis to Nonlinear Drug Disposition Described by the Michaelis–Menten Equation

Abstract

Keywords

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