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One-Compartment Model: IV Infusion

One-Compartment Model: IV Infusion

Intravenous (IV) infusion is often utilized when continuous and controlled drug delivery is necessary, such as during surgery or in the treatment of chronic diseases. This method offers numerous advantages, including immediate drug action, precise control over dosage, and bypassing the first-pass metabolism.
The one-compartment model for IV infusion uses mathematical equations to describe the rate of change in drug quantity in the body. At steady-state or infusion equilibrium, the drug input...

Two-Compartment Open Model: IV Bolus Administration

Two-Compartment Open Model: IV Bolus Administration

The two-compartment model for intravenous (IV) bolus administration illustrates drug distribution in the body, subdividing it into central and peripheral compartments. This model operates on the concept of two-compartment kinetics. The drug's plasma concentration shows a bi-exponential decline following IV bolus administration, signaling the presence of two disposition processes: distribution and elimination.
The disparity between drug input and the sum of drug transfer rates between...

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

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

The one-compartment model is a pharmacokinetic tool that models the body as a single, uniform compartment, facilitating the understanding of drug distribution and elimination. This model is particularly beneficial for intravenous (IV) bolus administration, where the drug rapidly circulates throughout the body.
The drug's presence in the body is defined by an equation representing the difference between the rates of drug entry and exit. Key parameters—elimination rate constant,...

Two-Compartment Open Model: IV Infusion

Two-Compartment Open Model: IV Infusion

A two-compartment model is a vital tool in pharmacokinetics, providing an essential understanding of drug behavior, especially for those administered via zero-order intravenous infusion. This model outlines two compartments: the central compartment, where elimination occurs, and the peripheral compartment.
The model illustrates the decrease in plasma drug concentration from the central compartment with a specific equation. It shows that under steady-state conditions, the drug's input rate...

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

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

The one-compartment open model is a simplified approach used in pharmacokinetics to understand the distribution and elimination of a drug administered through an intravenous bolus. This model assumes rapid drug dispersal throughout the body and elimination using a first-order process. Key pharmacokinetic parameters, such as the elimination rate constant (k), half-life (t1/2), and the apparent volume of distribution (Vd), can be estimated from this model. The elimination rate is calculated...

Compartment Models: Single-Compartment Model

Compartment Models: Single-Compartment Model

The single-compartment model serves as a simplified representation of the human body. This model assumes that the body functions as a single, well-mixed open compartment. When a drug is administered intravenously, it enters the body and quickly distributes uniformly. The drug then undergoes biotransformation and elimination, ultimately leaving the body. The volume of this compartment is referred to as the apparent volume of distribution into which the drug can uniformly distribute. In this...

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Related Experiment Video

Updated: Jun 11, 2025

Evaluation of Fluid Overload by Bioelectrical Impedance Vectorial Analysis

Evaluation of Fluid Overload by Bioelectrical Impedance Vectorial Analysis

Published on: August 17, 2022

A Pressure-Based Model of IV Fluid Therapy Kinetics.

Sarah Abel^1,2, Xiu Ting Yiew³, Shane Bateman³

¹Department of Mathematics and Statistics, University of Guelph, 50 Stone Rd. E., Guelph, ON, N1G 2W1, Canada.

Bulletin of Mathematical Biology

|October 1, 2024

Summary

A new nonlinear pressure-based model better describes fluid movement kinetics during intravenous (IV) fluid therapy compared to traditional linear pharmacokinetic models. This biophysically-based approach offers improved accuracy in understanding fluid shifts in the body.

Keywords:

IV fluid therapy Pressure-based model Starling equation Volume kinetics

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Last Updated: Jun 11, 2025

Evaluation of Fluid Overload by Bioelectrical Impedance Vectorial Analysis

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Published on: August 17, 2022

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Area of Science:

Physiology
Biophysics
Mathematical Modeling

Background:

Intravenous (IV) fluid therapy kinetics and fluid shifts are critical in human and animal physiology.
Current models often use linear pharmacokinetics, simplifying complex fluid dynamics.
A need exists for more accurate models reflecting the body's biophysical processes.

Purpose of the Study:

To introduce and evaluate a nonlinear pressure-based model for fluid kinetics in IV therapy.
To compare the performance of the new model against a traditional linear model.
To assess model accuracy using experimental data from feline subjects.

Main Methods:

Development of a nonlinear model based on hydrostatic and oncotic pressure gradients.
Comparison of the nonlinear model with a linear pharmacokinetic model.
Analysis of model fit using experimental data from awake and anesthetized cats.

Main Results:

The nonlinear pressure-based model demonstrated superior data fitting compared to the linear model in most cases.
The improved fit was statistically significant in a notable portion of the experimental trials.
The pressure-based model better reflects underlying biophysical mechanisms of fluid movement.

Conclusions:

The nonlinear pressure-based model offers a more accurate representation of IV fluid therapy kinetics.
This biophysically grounded model enhances our understanding of fluid dynamics in physiological systems.
The findings support the use of pressure-driven models for improved clinical and research applications.