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

Growth Models with Integration: Problem Solving01:27

Growth Models with Integration: Problem Solving

59
In population modeling, integration provides a systematic way to determine accumulated quantities from known rates of change. One such application arises in ecology, where the total weight of a fish population in a body of water is referred to as its biomass. When the rate of growth of this biomass is known as a function of time, calculus can be used to determine the total biomass at a future date.Growth Rate and Biomass FunctionLet the growth rate of the fish population be represented by a...
59
Model Approaches for Pharmacokinetic Data: Physiological Models01:15

Model Approaches for Pharmacokinetic Data: Physiological Models

277
Physiological models in pharmacokinetics are instrumental in understanding the distribution and elimination of drugs within the body. These models describe the drug concentration within target organs, influenced by factors such as drug uptake, tissue volume, and blood flow. Drug uptake is governed by the partition coefficient, which signifies the drug concentration ratio in tissue to that in the blood. The blood flow rate to a specific tissue is expressed as Qt, and the rate of change in tissue...
277
Model Approaches for Pharmacokinetic Data: Compartment Models01:14

Model Approaches for Pharmacokinetic Data: Compartment Models

570
Compartmental analysis is a widely adopted approach to characterizing drug pharmacokinetics. It uses compartment models that conceptualize the body as a collection of reversibly communicating compartments, each representing a group of tissues exhibiting similar drug distribution characteristics. The movement rate of the drug between these compartments is typically described by first-order kinetics.
Two primary types of compartment models are recognized: mammillary and catenary. The more...
570
Model Approaches for Pharmacokinetic Data: Distributed Parameter Models01:06

Model Approaches for Pharmacokinetic Data: Distributed Parameter Models

249
Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
249
Integration by Parts: Indefinite Integrals01:26

Integration by Parts: Indefinite Integrals

183
Integration by parts is a fundamental technique in calculus for evaluating integrals involving the product of two functions. It is particularly useful when direct integration is not feasible. The method is based on the product rule for differentiation, which states that the derivative of a product equals the derivative of the first function times the second, plus the first function times the derivative of the second. By integrating this identity and rearranging terms, the integration by parts...
183
Integration by Parts: Definite Integrals01:23

Integration by Parts: Definite Integrals

85
Definite integrals involving the product of two functions over a fixed interval can be evaluated using integration by parts. This method rewrites the integral as the difference of a product evaluated at the endpoints and a remaining definite integral that is often simpler to compute.A representative example is the definite integral of the inverse tangent function. Since there is no direct integration formula for arctan ⁡x, the integrand is rewritten as a product of arctan⁡ x and the...
85

You might also read

Related Articles

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

Sort by
Same author

AI-guided analysis of human pancreatic islet sociology reveals distinct cell compositional changes in type 1 diabetes.

bioRxiv : the preprint server for biology·2026
Same author

Adaptive Fisher's method using weakly geometric grid for combining <i>p</i>-values with application to COVID-19 surveillance.

Journal of the Royal Statistical Society. Series C, Applied statistics·2026
Same author

Impact of sex chromosomes and gonad type in stress susceptibility in corticostriatal brain regions.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

AI-powered and manual assessment of tumor-infiltrating lymphocytes in early HER2-positive breast cancer in NSABP B-41.

NPJ breast cancer·2026
Same author

Unraveling Tissue-Specific Molecular Signatures and Convergent Pathway Enrichments in Suicidal Behavior.

bioRxiv : the preprint server for biology·2026
Same author

Quantitative and qualitative patient-reported analysis of misdiagnosis and/or late diagnosis of metastatic lobular cancer.

medRxiv : the preprint server for health sciences·2026
Same journal

conMItion: an R package adjusting confounding factors for associations in multi-omics.

Bioinformatics (Oxford, England)·2026
Same journal

SpaMFG: a Spatial Multi-omics Integration Method based on Feature Grouping.

Bioinformatics (Oxford, England)·2026
Same journal

CSCN: Inference of Cell-Specific Causal Networks Using Single-Cell RNA-Seq Data.

Bioinformatics (Oxford, England)·2026
Same journal

Sparse CCA-Based Mediation Analysis with High-Dimensional Exposures and Mediators.

Bioinformatics (Oxford, England)·2026
Same journal

Enhancing Cross-Context Generalization in Drug Perturbation Prediction with a Multimodal Conditional Diffusion Framework.

Bioinformatics (Oxford, England)·2026
Same journal

Primer Design through Submodular Function Estimation.

Bioinformatics (Oxford, England)·2026
See all related articles

Related Experiment Video

Updated: Feb 5, 2026

Author Spotlight: Integrated Multi-Omics Analysis for Unveiling Multicellular Immune Signatures in Clinical Heart Attack Cohorts
08:51

Author Spotlight: Integrated Multi-Omics Analysis for Unveiling Multicellular Immune Signatures in Clinical Heart Attack Cohorts

Published on: September 20, 2024

2.2K

Bayesian integrative model for multi-omics data with missingness.

Zhou Fang1, Tianzhou Ma2, Gong Tang1

  • 1Department of Biostatistics, University of Pittsburgh, Pittsburgh, USA.

Bioinformatics (Oxford, England)
|September 6, 2018
PubMed
Summary
This summary is machine-generated.

This study introduces a Bayesian model to integrate incomplete multi-omics data, improving disease marker detection. A cross-validation scheme helps decide when to include samples with missing data for better accuracy.

More Related Videos

A Novel Bayesian Change-point Algorithm for Genome-wide Analysis of Diverse ChIPseq Data Types
12:39

A Novel Bayesian Change-point Algorithm for Genome-wide Analysis of Diverse ChIPseq Data Types

Published on: December 10, 2012

11.7K
Microfluidic Chip for Axonal Injury Models Construction and Enabling Multi-Omics Analysis
11:00

Microfluidic Chip for Axonal Injury Models Construction and Enabling Multi-Omics Analysis

Published on: October 14, 2025

1.2K

Related Experiment Videos

Last Updated: Feb 5, 2026

Author Spotlight: Integrated Multi-Omics Analysis for Unveiling Multicellular Immune Signatures in Clinical Heart Attack Cohorts
08:51

Author Spotlight: Integrated Multi-Omics Analysis for Unveiling Multicellular Immune Signatures in Clinical Heart Attack Cohorts

Published on: September 20, 2024

2.2K
A Novel Bayesian Change-point Algorithm for Genome-wide Analysis of Diverse ChIPseq Data Types
12:39

A Novel Bayesian Change-point Algorithm for Genome-wide Analysis of Diverse ChIPseq Data Types

Published on: December 10, 2012

11.7K
Microfluidic Chip for Axonal Injury Models Construction and Enabling Multi-Omics Analysis
11:00

Microfluidic Chip for Axonal Injury Models Construction and Enabling Multi-Omics Analysis

Published on: October 14, 2025

1.2K

Area of Science:

  • Genomics
  • Biostatistics
  • Computational Biology

Background:

  • Multi-omics data integration offers insights into complex diseases.
  • Existing methods struggle with missing data, leading to power loss.
  • Complete case analysis discards valuable samples with incomplete omics profiles.

Purpose of the Study:

  • To develop a full Bayesian model for multi-omics data integration that accommodates missing samples.
  • To enhance statistical power and marker detection in complex disease studies.
  • To propose a decision scheme for incorporating samples with missing data.

Main Methods:

  • A full Bayesian model inspired by iBAG (Integrative Bayesian Analysis of Genomics data) was developed.
  • The model incorporates samples with missing omics data.
  • A self-learning cross-validation (CV) decision scheme was proposed to manage missingness.

Main Results:

  • The Bayesian approach improved prediction accuracy and feature selection with limited sample size and high missingness.
  • Incorporating missing data can decrease performance when sample size is large or missingness is low.
  • The CV decision scheme demonstrated superior performance across various missing data mechanisms.

Conclusions:

  • The proposed Bayesian model effectively integrates incomplete multi-omics data.
  • The CV decision scheme provides a robust method for determining the inclusion of samples with missing data.
  • This approach enhances the analysis of complex diseases by maximizing data utilization.