Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Estimating integrals using quadrature methods with an application in pharmacokinetics.

A J Bailer1, W W Piegorsch

  • 1Department of Mathematics and Statistics, Miami University, Oxford, Ohio 45056.

Biometrics
|December 1, 1990
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Historical Context and Recent Advances in Exposure-Response Estimation for Deriving Occupational Exposure Limits.

Journal of occupational and environmental hygiene·2015
Same author

Bayesian model-averaged benchmark dose analysis via reparameterized quantal-response models.

Biometrics·2015
Same author

Estimating infectivity rates and attack windows for two viruses.

Mathematical biosciences·2012
Same author

Comparison of Hyperbolic and Constant Width Simultaneous Confidence Bands in Multiple Linear Regression under MVCS Criterion.

Journal of multivariate analysis·2010
Same author

Lung dosimetry and risk assessment of nanoparticles: evaluating and extending current models in rats and humans.

Inhalation toxicology·2006
Same author

Comparison of unintentional fatal occupational injuries in the Republic of Korea and the United States.

Injury prevention : journal of the International Society for Child and Adolescent Injury Prevention·2004

The trapezoidal rule, a simple numerical integration method, often minimizes statistical error (mean squared error) in biopharmaceutical pharmacokinetic studies. This finding is crucial for accurately calculating drug exposure from concentration-time data.

Area of Science:

  • Biopharmaceutical Research
  • Pharmacokinetics
  • Numerical Analysis

Background:

  • Numerical quadrature is essential for integral estimation in biological studies.
  • Area under the curve (AUC) calculations are vital in pharmacokinetics for dose assessment.
  • Statistical considerations in choosing numerical quadrature rules are often overlooked.

Purpose of the Study:

  • To analyze statistical issues in selecting numerical quadrature rules for pharmacokinetic applications.
  • To evaluate Newton-Cotes procedures for minimizing mean squared error (MSE).
  • To identify the most statistically robust quadrature rule for common pharmacokinetic data.

Main Methods:

  • Examination of Newton-Cotes numerical quadrature procedures.
  • Analysis of mean squared error (MSE) for various functions.

Related Experiment Videos

  • Evaluation across diverse concentration-time profiles and response variance conditions.

    • Main Results:

    • The trapezoidal rule, the simplest Newton-Cotes method, frequently yielded minimum MSE.
    • This result held true for various pharmacokinetic function shapes.
    • Optimal performance of the trapezoidal rule was observed across different response variance scenarios.

    Conclusions:

    • The trapezoidal rule is a statistically sound choice for integral estimation in pharmacokinetics.
    • It offers a robust method for calculating area under the curve (AUC) with minimal mean squared error.
    • Statistical evaluation supports the trapezoidal rule's frequent superiority over more complex methods.