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Related Concept Videos

One-Compartment Open Model for IV Bolus Administration: Estimation of Clearance00:56

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

Clearance is a key pharmacokinetic parameter that quantifies the volume of body fluid from which a drug is entirely removed within a specific time frame. It is crucial in assessing how a drug is eliminated from the body and has critical clinical applications.
In the one-compartment open model for intravenous (IV) bolus administration, clearance is estimated by dividing the elimination rate by the plasma drug concentration. This equation leverages the elimination rate constant and the apparent...
Two-Compartment Open Model: IV Bolus Administration01:18

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 Considerations01:19

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, half-life,...
One-Compartment Open Model for IV Bolus Administration: Estimation of Elimination Rate Constant, Half-Life and Volume of Distribution01:09

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 from...
Deconvolution01:20

Deconvolution

Deconvolution, also known as inverse filtering, is the process of extracting the impulse response from known input and output signals. This technique is vital in scenarios where the system's characteristics are unknown, and they must be inferred from the observable signals.
Deconvolution involves several mathematical techniques to derive the impulse response. One common approach is polynomial division. In this method, the input and output sequences are treated as coefficients of...
Nonlinear Pharmacokinetics: Drug Elimination for IV Bolus Injection00:59

Nonlinear Pharmacokinetics: Drug Elimination for IV Bolus Injection

In pharmacokinetics, the elimination rate of a drug following a capacity-limited model is primarily controlled by two parameters: Vmax and KM. These parameters are crucial in how the drug behaves inside the body after administration.
Following the administration of a single intravenous (IV) bolus injection, we can determine the concentration of the drug in the plasma at any given time. This calculation is achieved using a specific equation that integrates the values of Vmax and KM.
We can also...

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Related Experiment Video

Updated: Jul 10, 2026

Ultrasound Localization Microscopy for Super-Resolution Mapping of the Rodent Brain Microvasculature
10:36

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Deconvolution of bolus-tracking data: a comparison of discretization methods.

S Sourbron1, R Luypaert, D Morhard

  • 1Institute of Clinical Radiology, Ludwig Maximilian University Munich, Marchioninistrasse 15, 81377 Munich, Germany. Steven.Sourbron@med.uni-muenchen.de

Physics in Medicine and Biology
|November 3, 2007
PubMed
Summary

Discretization methods for model-free perfusion measurement using bolus-tracking data were compared. The time shift method is best for negative delays, while the Volterra method offers superior accuracy for positive delays in MRI brain perfusion studies.

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Simultaneous Measurement of Turbulence and Particle Kinematics Using Flow Imaging Techniques

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Area of Science:

  • Medical Imaging
  • Biophysics
  • Pharmacokinetics

Background:

  • Model-free perfusion measurement from bolus-tracking data necessitates tracer kinetic model discretization.
  • Various discretization approaches exist, each with potential impacts on accuracy.
  • Understanding these methods is crucial for reliable perfusion quantification in medical imaging.

Purpose of the Study:

  • To classify and compare the accuracy of different tracer kinetic model discretization methods.
  • To evaluate method performance under various physiological and imaging conditions, including different tissue models, delays, dispersion, temporal resolution, and signal-to-noise ratios.
  • To provide guidance on selecting the optimal discretization method for specific clinical or research scenarios.

Main Methods:

  • Classification of existing tracer kinetic model discretization approaches into delay-invariant (circulant, time shift) and non-delay-invariant (Volterra, singular, hybrid) categories.
  • Simulations of magnetic resonance imaging (MRI) brain perfusion using plug flow and compartment tissue models with varied parameters.
  • Comparison of simulation results with a patient dataset.

Main Results:

  • Both delay-invariant methods (circulant and time shift) demonstrated comparable accuracy, though the circulant method showed sensitivity to data truncation.
  • The Volterra method yielded the highest perfusion estimates, followed by hybrid, singular, and delay-invariant methods.
  • Volterra's accuracy was superior except in unrealistic plug-flow scenarios without delay or dispersion; differences diminished with increased delay/dispersion relative to temporal resolution.

Conclusions:

  • The time shift method is recommended when negative delays are unavoidable or precise left-right perfusion ratios are critical.
  • For positive delays and a focus on absolute accuracy, the Volterra method is preferred.
  • Method selection depends on specific physiological conditions and the desired quantitative outcome in perfusion imaging.