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

Modeling and Similitude01:12

Modeling and Similitude

790
Scaled modeling is a fundamental technique in engineering, enabling the study of large and complex systems by creating smaller, manageable replicas that recreate critical characteristics of the original. In hydrology and civil infrastructure, for example, scaled models of dams help analyze water flow, turbulence, and pressure. This method allows for accurate predictions of real-world behavior within a controlled environment, significantly reducing the cost and time involved in full-scale...
790
Typical Model Studies01:30

Typical Model Studies

793
Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
793
Multicompartment Models: Overview01:14

Multicompartment Models: Overview

723
Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
723
Control Volume and System Representations01:16

Control Volume and System Representations

1.7K
Two key frameworks are employed to analyze mass, energy, and momentum transfer: the control volume approach and the system approach. These frameworks offer different perspectives, depending on whether the focus is on a specific region in space (control volume approach) or a defined mass of fluid (system approach).
The control volume approach considers a stationary region in space through which fluid flows. This region is bounded by a control surface.  For instance, in the case of water...
1.7K
Mechanistic Models: Overview of Compartment Models01:21

Mechanistic Models: Overview of Compartment Models

562
Mechanistic models, a category encompassing both physiological and compartmental modeling, differ from empirical models' approaches to incorporating known factors about the systems being modeled. Empirical models describe data with minimal assumptions, while mechanistic models aim to provide a robust description of available data by specifying assumptions and integrating known factors about the system. Compartmental analysis is a key example of a mechanistic model in pharmacokinetics and...
562
Multimachine Stability01:25

Multimachine Stability

633
Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
633

You might also read

Related Articles

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

Sort by
Same author

Correlated clustering and projection for dimensionality reduction.

Machine learning: science and technology·2026
Same author

VARIANT: Web Server for Decoding and Analyzing Viral Mutations at Genome and Protein Levels.

ArXiv·2026
Same author

Manifold topological deep learning for biomedical data.

Nature communications·2026
Same author

A review of recent advances in generative artificial intelligence models for biomolecular sciences.

Acta pharmaceutica Sinica. B·2026
Same author

CAP: Commutative algebra prediction of protein-nucleic acid binding affinities.

Machine learning: science and technology·2026
Same author

Topology-preserving Hodge decomposition in the Eulerian representation.

Beijing journal of pure & applied mathematics·2026
Same journal

A computational model of ESAT-6 complex in membrane.

Journal of theoretical & computational chemistry·2021
Same journal

Predicting mucin-type O-Glycosylation using enhancement value products from derived protein features.

Journal of theoretical & computational chemistry·2020
Same journal

Computational Characterization of Mutations in Cardiac Troponin T Known to Cause Familial Hypertrophic Cardiomyopathy.

Journal of theoretical & computational chemistry·2015
Same journal

Accuracy of continuum electrostatic calculations based on three common dielectric boundary definitions.

Journal of theoretical & computational chemistry·2015
Same journal

OPTIMIZATION BIAS IN ENERGY-BASED STRUCTURE PREDICTION.

Journal of theoretical & computational chemistry·2015
Same journal

On the electrostatic properties of homodimeric proteins.

Journal of theoretical & computational chemistry·2014
See all related articles

Related Experiment Video

Updated: Apr 21, 2026

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

13.5K

Multiscale Multiphysics and Multidomain Models I: Basic Theory.

Guo-Wei Wei1

  • 1Department of Mathematics Michigan State University, MI 48824, USA Department of Electrical and Computer Engineering Michigan State University, MI 48824, USA Department of Biochemistry and Molecular Biology Michigan State University, MI 48824, USA.

Journal of Theoretical & Computational Chemistry
|November 11, 2014
PubMed
Summary
This summary is machine-generated.

This study introduces a multidomain theory using differential geometry to model complex aqueous systems, integrating various physical and chemical processes for enhanced scientific understanding.

Keywords:
Elastic dynamicsFluid dynamicsLaplace-Beltrami equationMolecular dynamicsMultidomainMultiphysicsMultiscaleNernst-Planck equationPoisson-Boltzmann equation

More Related Videos

Electric and Magnetic Field Devices for Stimulation of Biological Tissues
13:29

Electric and Magnetic Field Devices for Stimulation of Biological Tissues

Published on: May 15, 2021

5.9K
Characterizing Multiscale Mechanical Properties of Brain Tissue Using Atomic Force Microscopy, Impact Indentation, and Rheometry
11:19

Characterizing Multiscale Mechanical Properties of Brain Tissue Using Atomic Force Microscopy, Impact Indentation, and Rheometry

Published on: September 6, 2016

13.2K

Related Experiment Videos

Last Updated: Apr 21, 2026

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

13.5K
Electric and Magnetic Field Devices for Stimulation of Biological Tissues
13:29

Electric and Magnetic Field Devices for Stimulation of Biological Tissues

Published on: May 15, 2021

5.9K
Characterizing Multiscale Mechanical Properties of Brain Tissue Using Atomic Force Microscopy, Impact Indentation, and Rheometry
11:19

Characterizing Multiscale Mechanical Properties of Brain Tissue Using Atomic Force Microscopy, Impact Indentation, and Rheometry

Published on: September 6, 2016

13.2K

Area of Science:

  • Multiscale modeling and simulation
  • Computational biophysics and chemistry
  • Differential geometry in scientific applications

Background:

  • Existing models often struggle to simultaneously capture diverse physical, chemical, and biological phenomena in aqueous systems.
  • A unified framework is needed to bridge macroscopic solvent behavior and microscopic solute dynamics.

Purpose of the Study:

  • To develop a multidomain theory extending a previous two-domain formulation.
  • To enable simultaneous multiphysical descriptions of complex aqueous systems like fuel cells, viruses, and molecular motors.
  • To couple continuum and discrete descriptions using differential geometry.

Main Methods:

  • Utilized differential geometry of surfaces to separate solvent and solute domains.
  • Constructed energy functionals encompassing polar/nonpolar solvation, QM, fluid mechanics, and dynamics.
  • Applied variational principles to derive governing equations (e.g., multidomain Poisson-Boltzmann, Nernst-Planck, Navier-Stokes, molecular dynamics).

Main Results:

  • Developed a multidomain theory capable of integrating diverse physical and chemical descriptions.
  • Derived novel integral-differential Poisson-Boltzmann equations accounting for solvent-solute interactions.
  • Demonstrated consistency between non-equilibrium charge transport and equilibrium solvation models.

Conclusions:

  • The proposed multidomain theory provides a versatile framework for modeling complex multiphysical aqueous systems.
  • This approach allows for detailed characterization of solute properties and their interactions with the solvent environment.
  • The formalism successfully integrates continuum and discrete methods for a comprehensive understanding of chemical, physical, and biological processes.