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

Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models00:57

Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models

162
Physiological pharmacokinetic models, often called flow-limited or perfusion models, typically assume a swift drug distribution between tissue and venous blood, creating a rapid drug equilibrium. This premise is based on the idea that drug diffusion is extremely fast, and the cell membrane presents no barrier to drug permeation. In this scenario, where no drug binding occurs, the drug concentration in the tissue equals that of the venous blood leaving the tissue. This greatly simplifies the...
162
Protein Diffusion in the Membrane01:24

Protein Diffusion in the Membrane

4.7K
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...
4.7K
Passive Diffusion: Overview and Kinetics01:17

Passive Diffusion: Overview and Kinetics

854
Passive diffusion is a critical process that allows small lipophilic drugs to cross the cell membrane along a concentration gradient. This mechanism's efficiency depends on four primary factors: the membrane's surface area, the drug's lipid-water partition coefficient, the concentration gradient, and the membrane's thickness.
When administered orally, drugs establish a substantial concentration gradient between the gastrointestinal (GI) lumen and the bloodstream, expediting...
854
Diffusion01:12

Diffusion

205.3K
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...
205.3K
Pharmacokinetic Models: Comparison and Selection Criterion01:26

Pharmacokinetic Models: Comparison and Selection Criterion

160
Physiological and compartmental models are valuable tools used in studying biological systems. These models rely on differential equations to maintain mass balance within the system, ensuring an accurate representation of the dynamic processes at play.
Physiological models take a detailed approach by considering specific molecular processes. They can predict drug distribution, metabolism, and elimination changes, providing a comprehensive understanding of how drugs interact with the body.
160
Model Approaches for Pharmacokinetic Data: Physiological Models01:15

Model Approaches for Pharmacokinetic Data: Physiological Models

130
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...
130

You might also read

Related Articles

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

Sort by
Same author

Macrophage Polarization Determines Inflammation Amplification and Resolution.

Bulletin of mathematical biology·2026
Same author

Local and systemic factors in the resolution of inflammation.

Journal of theoretical biology·2025
Same author

Infection propagation in a tissue with resident macrophages.

Mathematical biosciences·2025
Same author

From SIR to delay models in epidemiology: Comment on "Data-driven mathematical modeling approaches for COVID-19: A survey" by Jacques Demongeot and Pierre Magal.

Physics of life reviews·2024
Same author

Reaction-diffusion waves in biology: new trends, recent developments.

Physics of life reviews·2024
Same author

Mathematical model of repressive response to collective action and protest waves.

Journal of theoretical biology·2024
Same journal

Permanent Scaffolding of Social Expertise.

Acta biotheoretica·2026
Same journal

Who infects whom in an epidemic?

Acta biotheoretica·2026
Same journal

A Discrete Dynamical System Approach for Modeling Wolbachia Infection in Dioecious Populations.

Acta biotheoretica·2026
Same journal

Correction: The Emergence of Turing Instability and Pattern Formation in a Nonlinear Stochastic Spatiotemporal Epidemic Model with Reinfections.

Acta biotheoretica·2026
Same journal

Allele Frequency Spectra as a General Tool for Modeling Genetic Diversity.

Acta biotheoretica·2026
Same journal

Metabolic Scaling from Fibonacci Dynamics.

Acta biotheoretica·2026
See all related articles

Related Experiment Video

Updated: Sep 30, 2025

Planar Gradient Diffusion System to Investigate Chemotaxis in a 3D Collagen Matrix
09:26

Planar Gradient Diffusion System to Investigate Chemotaxis in a 3D Collagen Matrix

Published on: June 12, 2015

8.7K

Nonlocal Reaction-Diffusion Equations in Biomedical Applications.

M Banerjee1, M Kuznetsov2,3, O Udovenko2

  • 1Department of Mathematics & Statistics, IIT Kanpur, Kanpur, 208016, India.

Acta Biotheoretica
|March 17, 2022
PubMed
Summary
This summary is machine-generated.

Nonlocal reaction-diffusion equations offer unique insights into biological systems. This review explores their mathematical properties and spatiotemporal patterns in immunology, neuroscience, and cancer modeling.

Keywords:
Nonlocal equationsPattern formationPulsesReaction–diffusion equationsTravelling waves

More Related Videos

Image Processing Protocol for the Analysis of the Diffusion and Cluster Size of Membrane Receptors by Fluorescence Microscopy
12:15

Image Processing Protocol for the Analysis of the Diffusion and Cluster Size of Membrane Receptors by Fluorescence Microscopy

Published on: April 9, 2019

8.9K
A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates
10:33

A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates

Published on: February 23, 2018

25.5K

Related Experiment Videos

Last Updated: Sep 30, 2025

Planar Gradient Diffusion System to Investigate Chemotaxis in a 3D Collagen Matrix
09:26

Planar Gradient Diffusion System to Investigate Chemotaxis in a 3D Collagen Matrix

Published on: June 12, 2015

8.7K
Image Processing Protocol for the Analysis of the Diffusion and Cluster Size of Membrane Receptors by Fluorescence Microscopy
12:15

Image Processing Protocol for the Analysis of the Diffusion and Cluster Size of Membrane Receptors by Fluorescence Microscopy

Published on: April 9, 2019

8.9K
A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates
10:33

A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates

Published on: February 23, 2018

25.5K

Area of Science:

  • Mathematical Biology
  • Biomedical Modeling

Background:

  • Nonlocal reaction-diffusion equations differ significantly from local models.
  • These mathematical differences have crucial biological implications.
  • Understanding these models is vital for advancing biomedical applications.

Purpose of the Study:

  • To review the current state of nonlocal reaction-diffusion models in biomedicine.
  • To explore applications in mathematical immunology, neuroscience, and cancer modeling.
  • To discuss the mathematical properties, dynamics, patterns, and biological significance of these models.

Main Methods:

  • Literature review of nonlocal reaction-diffusion models.
  • Analysis of mathematical properties and nonlinear dynamics.
  • Examination of spatiotemporal pattern formation and biological significance.

Main Results:

  • Nonlocal models exhibit distinct mathematical behaviors compared to local ones.
  • These models generate complex spatiotemporal patterns relevant to biological processes.
  • The review synthesizes current findings across diverse biomedical fields.

Conclusions:

  • Nonlocal reaction-diffusion equations are powerful tools for understanding complex biological phenomena.
  • Further investigation into their mathematical properties can yield significant biological insights.
  • These models hold promise for future advancements in immunology, neuroscience, and cancer research.