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

Protein Diffusion in the Membrane01:24

Protein Diffusion in the Membrane

4.3K
Proteins show rotational as well as lateral diffusion across the membrane. The lateral diffusion of proteins was confirmed through the cell fusion experiment where mouse and human cells were fused, resulting in hybrid cells. When the human and mouse cells fused, the specific membrane proteins on human and mouse cells were marked with the red and green-fluorescent markers, respectively. Initially, the red and green fluorescence was located on the respective hemisphere of the cell. As time...
4.3K
Carrier Transport01:21

Carrier Transport

406
The generation of electrical current in semiconductors is fundamentally driven by two mechanisms: drift and diffusion. These processes are essential for the functionality and performance of semiconductor-based devices.
Drift Current:
The drift of charge carriers is started by an external electric field (E). Charged particles, such as electrons and holes, experience an acceleration between collisions with lattice atoms. For electrons, this results in a drift velocity (vd) given by:
406
Diffusion01:12

Diffusion

188.9K
Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...
188.9K
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

421
Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
421
Transcellular Transport of Solutes01:23

Transcellular Transport of Solutes

3.5K
Transcellular transport of solutes is the movement of substances like monosaccharides and amino acids through polarized cells. This transport mechanism is primarily seen in epithelial and endothelial cells aided by membrane transport proteins such as channels and transporters. The tight junctions between these cells confine the membrane proteins to the two sides of the cell. The epithelial cells have distinct apical and basolateral domains. In contrast, the endothelial cells show the luminal...
3.5K
Facilitated Diffusion01:16

Facilitated Diffusion

316
The plasma membrane, a critical structure in cellular biology, houses an array of transporters, or carrier proteins, interspersed within its lipid bilayer. These proteins play a crucial role in solute transport through facilitated diffusion, a form of passive diffusion that uses transporters to move the molecules across the membrane.
In this process, substrates such as organic compounds and ions interact with a transporter on one side, triggering conformational changes in proteins that enable...
316

You might also read

Related Articles

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

Sort by
Same author

Kuramoto model with stochastic resetting and coupling through an external medium.

Chaos (Woodbury, N.Y.)·2025
Same author

Asymptotic analysis of particle cluster formation in the presence of anchoring sites.

The European physical journal. E, Soft matter·2024
Same author

Global density equations for interacting particle systems with stochastic resetting: From overdamped Brownian motion to phase synchronization.

Chaos (Woodbury, N.Y.)·2024
Same author

Morphogen gradient formation in partially absorbing media.

Physical biology·2022
Same author

Target competition for resources under multiple search-and-capture events with stochastic resetting.

Proceedings. Mathematical, physical, and engineering sciences·2020
Same author

Stochastic Turing Pattern Formation in a Model with Active and Passive Transport.

Bulletin of mathematical biology·2020
Same journal

Phenotypic plasticity trade-offs in an age-structured model of bacterial growth under stress.

Journal of mathematical biology·2026
Same journal

Intraspecific interactions facilitate mutualism across multilayer networks under weak selection.

Journal of mathematical biology·2026
Same journal

A two-species competition model on a compact metric graph for the invasion and competition of Aedes Aegypti and Aedes Albopictus mosquitoes in Florida.

Journal of mathematical biology·2026
Same journal

Superinfection and the hypnozoite reservoir for Plasmodium vivax: a multitype branching process approximation.

Journal of mathematical biology·2026
Same journal

Correction to: Superinfection and the hypnozoite reservoir for Plasmodium vivax: a general framework.

Journal of mathematical biology·2026
Same journal

Stoichiometric balance and sustained rhythms.

Journal of mathematical biology·2026
See all related articles

Related Experiment Video

Updated: Jun 8, 2025

From Fast Fluorescence Imaging to Molecular Diffusion Law on Live Cell Membranes in a Commercial Microscope
15:10

From Fast Fluorescence Imaging to Molecular Diffusion Law on Live Cell Membranes in a Commercial Microscope

Published on: October 9, 2014

11.4K

Cellular diffusion processes in singularly perturbed domains.

Paul C Bressloff1

  • 1Department of Mathematics, Imperial College London, London, SW7 2AZ, UK. p.bressloff@imperial.ac.uk.

Journal of Mathematical Biology
|November 4, 2024
PubMed
Summary
This summary is machine-generated.

This review models cell biology processes using diffusion in complex domains. It presents a unified mathematical framework for singularly-perturbed diffusion problems, focusing on steady-state solutions.

Keywords:
35B2560J6082B2492B0592C37

More Related Videos

Spot Variation Fluorescence Correlation Spectroscopy for Analysis of Molecular Diffusion at the Plasma Membrane of Living Cells
05:56

Spot Variation Fluorescence Correlation Spectroscopy for Analysis of Molecular Diffusion at the Plasma Membrane of Living Cells

Published on: November 12, 2020

2.7K
Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules
00:10

Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules

Published on: September 5, 2019

8.2K

Related Experiment Videos

Last Updated: Jun 8, 2025

From Fast Fluorescence Imaging to Molecular Diffusion Law on Live Cell Membranes in a Commercial Microscope
15:10

From Fast Fluorescence Imaging to Molecular Diffusion Law on Live Cell Membranes in a Commercial Microscope

Published on: October 9, 2014

11.4K
Spot Variation Fluorescence Correlation Spectroscopy for Analysis of Molecular Diffusion at the Plasma Membrane of Living Cells
05:56

Spot Variation Fluorescence Correlation Spectroscopy for Analysis of Molecular Diffusion at the Plasma Membrane of Living Cells

Published on: November 12, 2020

2.7K
Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules
00:10

Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules

Published on: September 5, 2019

8.2K

Area of Science:

  • Cell biology
  • Mathematical modeling
  • Diffusion processes

Background:

  • Cellular processes often involve particle diffusion within complex cellular compartments.
  • Modeling these phenomena requires understanding singularly-perturbed diffusion problems in bounded domains.

Purpose of the Study:

  • To develop a unified mathematical framework for analyzing diffusion in cellular environments.
  • To solve singular boundary value problems (BVP) in 2D and 3D with interior compartments.

Main Methods:

  • Utilizes matched asymptotic analysis and Green's function methods.
  • Applies to general singularly-perturbed diffusion problems with inhomogeneous Robin conditions on interior boundaries.

Main Results:

  • Provides a framework to unify various studies on singularly-perturbed diffusion problems.
  • Focuses on steady-state solutions and the approach to steady-state.

Conclusions:

  • The presented framework offers a robust approach to modeling diffusion in complex cellular systems.
  • Highlights challenges in time-dependent solutions and stochastic processes for future research.