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 Concept Videos

Structure of Benzene: Kekulé Model01:07

Structure of Benzene: Kekulé Model

11.8K
In 1865, August Kekule suggested the structure of benzene according to the structural theory of organic chemistry based on the three assertions—formula of benzene is C6H6, all the hydrogens of benzene are equivalent, and each carbon must have four bonds due to its tetravalency.
He proposed that benzene has a cyclic structure of six carbon atoms attached to one hydrogen atom each, with three alternating pi bonds.
11.8K
Structure of Benzene: Molecular Orbital Model01:18

Structure of Benzene: Molecular Orbital Model

12.3K
According to the molecular orbital (MO) model, benzene has a planar structure with a regular hexagon of six sp2 hybridized carbons. As shown in Figure 1, each carbon is bonded to three other atoms with C–C–C and H–C–C bond angles of 120°. The C–H bond length is 109 pm, and the C–C bond length is 139 pm which is midway between the single bond length of sp3 hybridized carbons (154 pm) and sp2 hybridized carbons (133 pm).
12.3K
Residual Plots01:07

Residual Plots

6.5K
A residual plot is a statistical representation of data used to analyze correlation and regression results. It helps verify the requirements for drawing specific conclusions about correlation and regression. To obtain the residual plot, first, the residual for each data value is calculated, which is simply the vertical distance between the observed and the predicted value obtained from the regression equation.
When the residual values are plotted against the variable x, it is called a residual...
6.5K
Residual Stresses01:26

Residual Stresses

624
Residual stresses reside in a structure even after removing the original stress inducer. This phenomenon often arises from varied plastic deformations across different parts of a structure. Consider a rod stretched beyond its yield point. It will not regain its original length due to permanent deformation. Even after load removal, the rod does not entirely lose stress because of uneven plastic deformations, resulting in residual stresses. The computation of these stresses in structures is...
624
Mechanistic Models: Compartment Models in Individual and Population Analysis01:23

Mechanistic Models: Compartment Models in Individual and Population Analysis

260
Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
260
Weighted Mean00:57

Weighted Mean

6.3K
While taking the arithmetic, geometric, or harmonic mean of a sample data set, equal importance is assigned to all the data points. However, all the values may not always be equally important in some data sets. An intrinsic bias might make it more important to give more weightage to specific values over others.
For example, consider the number of goals scored in the matches of a tournament. While computing the average number of goals scored in the tournament, it may be more important to...
6.3K

You might also read

Related Articles

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

Sort by
Same author

An Interactive Pharmacokinetic-Pharmacodynamic Framework to Evaluate Bedaquiline Dose Modifications in Adults With Tuberculosis.

CPT: pharmacometrics & systems pharmacology·2026
Same author

Blood-glucose Profile Evaluation with a Model-based Approach using Continuous Glucose Monitoring Data.

The AAPS journal·2026
Same author

Glucose-dependent dynamics of glucagon, cortisol and adrenocorticotropic hormone before and after gastric bypass.

Journal of the Endocrine Society·2026
Same author

Association of Torque Teno Virus DNA Load and Tacrolimus in Peripheral Blood Mononuclear Cells of Adult Kidney Transplant Patients.

Therapeutic drug monitoring·2026
Same author

Learning Covariate Relations in Disease Progression Models Using Symbolic Neural Networks.

CPT: pharmacometrics & systems pharmacology·2026
Same author

Weight-band-based simplification of oral allometric miltefosine dosing in paediatric patients with visceral leishmaniasis.

The Journal of antimicrobial chemotherapy·2026
Same journal

Updated Recommendations for the Bioanalysis of Antibody-Drug Conjugates (ADC) from the ADC working group of the AAPS Bioanalytical Community.

The AAPS journal·2026
Same journal

In vivo Predictive Dissolution Test Using Biorelevant Bicarbonate Buffer for High-dose Free Acid Drug.

The AAPS journal·2026
Same journal

Whole-Body Pharmacokinetics of Ionizable Lipid, mRNA, and the Expressed Antibody following Intravenous Administration of mRNA-Loaded Lipid Nanoparticles.

The AAPS journal·2026
Same journal

Simple Hydrodynamic Molecular Weight Model for Rapid Assessment of Therapeutic Protein Oligomerization States in Formulation.

The AAPS journal·2026
Same journal

Guiding the Molnupiravir Tablet Formulation Using Physiologically Based Biopharmaceutics Modeling and Successfully Establishing Dissolution Safe Space.

The AAPS journal·2026
Same journal

Correction: Nanotechnology-enhanced Natural Products for Cancer Chemoprevention: Molecular Mechanisms and Clinical Translation.

The AAPS journal·2026
See all related articles

Related Experiment Video

Updated: Jan 28, 2026

Co-analysis of Brain Structure and Function using fMRI and Diffusion-weighted Imaging
17:06

Co-analysis of Brain Structure and Function using fMRI and Diffusion-weighted Imaging

Published on: November 8, 2012

27.0K

Model-Based Conditional Weighted Residuals Analysis for Structural Model Assessment.

Moustafa M A Ibrahim1,2, Sebastian Ueckert1, Svetlana Freiberga1

  • 1Department of Pharmaceutical Biosciences, Uppsala University, Uppsala, Sweden.

The AAPS Journal
|March 1, 2019
PubMed
Summary
This summary is machine-generated.

We developed a new method using conditional weighted residuals (CWRES) to assess bias in nonlinear mixed effects models. This approach accurately identifies and quantizes structural model misspecifications, aiding drug development and disease understanding.

Keywords:
conditional weighted residualsdiagnosticsmodel evaluationnonlinear mixed effects modelsprediction biasstructural model

More Related Videos

Three-Dimensional Shape Modeling and Analysis of Brain Structures
05:33

Three-Dimensional Shape Modeling and Analysis of Brain Structures

Published on: November 14, 2019

7.6K
Measuring Attention and Visual Processing Speed by Model-based Analysis of Temporal-order Judgments
13:00

Measuring Attention and Visual Processing Speed by Model-based Analysis of Temporal-order Judgments

Published on: January 23, 2017

10.3K

Related Experiment Videos

Last Updated: Jan 28, 2026

Co-analysis of Brain Structure and Function using fMRI and Diffusion-weighted Imaging
17:06

Co-analysis of Brain Structure and Function using fMRI and Diffusion-weighted Imaging

Published on: November 8, 2012

27.0K
Three-Dimensional Shape Modeling and Analysis of Brain Structures
05:33

Three-Dimensional Shape Modeling and Analysis of Brain Structures

Published on: November 14, 2019

7.6K
Measuring Attention and Visual Processing Speed by Model-based Analysis of Temporal-order Judgments
13:00

Measuring Attention and Visual Processing Speed by Model-based Analysis of Temporal-order Judgments

Published on: January 23, 2017

10.3K

Area of Science:

  • Pharmacometrics and Pharmacokinetics
  • Statistical Modeling
  • Biostatistics

Background:

  • Nonlinear mixed effects (NLME) models are crucial for analyzing longitudinal data in drug development and disease research.
  • Accurate assessment of NLME model assumptions is vital for reliable conclusions.
  • Existing methods may not sufficiently detect structural model misspecifications.

Purpose of the Study:

  • To propose and validate a novel method for assessing structural model misspecification in NLME models.
  • To evaluate prediction bias using conditional weighted residuals (CWRES).
  • To quantify the magnitude of bias in model predictions.

Main Methods:

  • Developed a method based on assessing bias in conditional weighted residuals (CWRES).
  • Applied the method to two integrated models of glucose homeostasis: the integrated glucose-insulin (IGI) model and the integrated minimal model (IMM).
  • Modeled CWRES to identify systematic trends and quantify misspecification magnitude (ΔOFVBias).

Main Results:

  • The new CWRES bias assessment method correctly identified bias in the integrated minimal model's (IMM) glucose sub-model when misspecification occurred.
  • The method accurately calculated the absolute and proportional magnitude of prediction bias.
  • CWRES bias trends correlated well with the true patterns of model misspecification.

Conclusions:

  • The proposed CWRES bias assessment is an effective and automated diagnostic tool for NLME model development and evaluation.
  • This method enhances the reliability of conclusions drawn from longitudinal data analysis.
  • The tool is implemented in Perl-speaks-NONMEM, facilitating its practical application.