JoVE Logo

Iniciar sesión

7.26 : Noncompartmental Analysis: Statistical Moment Theory

Noncompartmental analyses leverage statistical moment theory to examine time-related changes in macroscopic events, encapsulating the collective outcomes stemming from the constituent elements in play. Statistical moment theory is a mathematical approach used to describe the time course of drug concentration in the body without assuming a specific compartmental model. SMT provides insights into drug absorption, distribution, metabolism, and elimination by treating drug concentration versus time data as a statistical distribution of molecules in time.

Mean residence time (MRT) is a pivotal parameter that describes the movement of drug molecules in and out of the system. It considers the individual movement of molecules within a system based on residence-time considerations. Residence-time considerations refer to analyzing how long individual drug molecules remain within the body or a specific compartment before being eliminated. The residence-time analysis uses statistical approaches to study the behavior of individual molecules as a distribution of times they reside in the body.

Calculating a drug's MRT within the body uses the moment curve obtained by integrating a probability density function of the drug multiplied by time. This yields insights into the distribution's characteristics, facilitating a deeper understanding of the drug's behavior within the biological system.

Substituting the mth moment into the moment curve yields various moment curves, each with distinct implications. For instance, the zero moment corresponds to the area under the curve, while the first moment defines the mean of the distribution via the area under the first moment curve. The second moment characterizes the variance of the distribution, and higher moments represent skewness and kurtosis.

Noncompartmental analysis, underpinned by statistical moment theory, offers a comprehensive framework for unraveling drug molecules' temporal dynamics and distribution characteristics within biological systems.

Tags

Noncompartmental AnalysisStatistical Moment TheoryDrug ConcentrationMean Residence Time MRTResidence time ConsiderationsProbability Density FunctionMoment CurvesArea Under The CurveVarianceTemporal DynamicsDrug AbsorptionDrug DistributionDrug MetabolismDrug Elimination

Del capítulo 7:

article

Now Playing

7.26 : Noncompartmental Analysis: Statistical Moment Theory

Pharmacokinetic Models

74 Vistas

article

7.1 : Analysis Methods of Pharmacokinetic Data: Model and Model-Independent Approaches

Pharmacokinetic Models

82 Vistas

article

7.2 : Model Approaches for Pharmacokinetic Data: Compartment Models

Pharmacokinetic Models

73 Vistas

article

7.3 : One-Compartment Open Model for IV Bolus Administration: General Considerations

Pharmacokinetic Models

152 Vistas

article

7.4 : One-Compartment Open Model for IV Bolus Administration: Estimation of Elimination Rate Constant, Half-Life and Volume of Distribution

Pharmacokinetic Models

184 Vistas

article

7.5 : One-Compartment Open Model for IV Bolus Administration: Estimation of Clearance

Pharmacokinetic Models

58 Vistas

article

7.6 : One-Compartment Model: IV Infusion

Pharmacokinetic Models

143 Vistas

article

7.7 : One-Compartment Open Model for Extravascular Administration: Zero-Order Absorption Model

Pharmacokinetic Models

59 Vistas

article

7.8 : One-Compartment Open Model for Extravascular Administration: First-Order Absorption Model

Pharmacokinetic Models

189 Vistas

article

7.9 : One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation

Pharmacokinetic Models

368 Vistas

article

7.10 : One-Compartment Open Model: Urinary Excretion Data and Determination of k

Pharmacokinetic Models

128 Vistas

article

7.11 : Multicompartment Models: Overview

Pharmacokinetic Models

86 Vistas

article

7.12 : Two-Compartment Open Model: Overview

Pharmacokinetic Models

90 Vistas

article

7.13 : Two-Compartment Open Model: IV Bolus Administration

Pharmacokinetic Models

377 Vistas

article

7.14 : Two-Compartment Open Model: IV Infusion

Pharmacokinetic Models

187 Vistas

See More

JoVE Logo

Privacidad

Condiciones de uso

Políticas

Investigación

Educación

ACERCA DE JoVE

Copyright © 2025 MyJoVE Corporation. Todos los derechos reservados