Jove
Visualize
Contact Us

Related Concept Videos

Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion03:48

Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion

29.3K
Although gaseous molecules travel at tremendous speeds (hundreds of meters per second), they collide with other gaseous molecules and travel in many different directions before reaching the desired target. At room temperature, a gaseous molecule will experience billions of collisions per second. The mean free path is the average distance a molecule travels between collisions. The mean free path increases with decreasing pressure; in general, the mean free path for a gaseous molecule will be...
29.3K
Passive Diffusion: Overview and Kinetics01:17

Passive Diffusion: Overview and Kinetics

643
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...
643
Mean free path and Mean free time01:22

Mean free path and Mean free time

3.9K
Consider the gas molecules in a cylinder. They move in a random motion as they collide with each other and change speed and direction. The average of all the path lengths between collisions is known as the "mean free path."
3.9K
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model01:09

Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model

413
Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
413
Diffusion01:12

Diffusion

196.4K
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...
196.4K
Theories of Dissolution: Diffusion Layer Model01:15

Theories of Dissolution: Diffusion Layer Model

873
Dissolution, the process by which drug particles dissolve in a solvent, is explained by the diffusion layer model, a theoretical framework that simulates the absorption of oral drugs and allows us to analyze experimental data.
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
873

You might also read

Related Articles

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

Sort by
Same author

<i>G</i>-Subdiffusion Equation as an Anomalous Diffusion Equation Determined by the Time Evolution of the Mean Square Displacement of a Diffusing Molecule.

Entropy (Basel, Switzerland)·2025
Same author

Subdiffusion Equation with Fractional Caputo Time Derivative with Respect to Another Function in Modeling Superdiffusion.

Entropy (Basel, Switzerland)·2025
Same author

Subdiffusion with particle immobilization process described by a differential equation with Riemann-Liouville-type fractional time derivative.

Physical review. E·2023
Same author

Subdiffusion equation with fractional Caputo time derivative with respect to another function in modeling transition from ordinary subdiffusion to superdiffusion.

Physical review. E·2023
Same author

Composite subdiffusion equation that describes transient subdiffusion.

Physical review. E·2022
Same author

Subdiffusion equation with Caputo fractional derivative with respect to another function in modeling diffusion in a complex system consisting of a matrix and channels.

Physical review. E·2022
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 Experiment Video

Updated: Aug 28, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

8.6K

First-passage time for the g-subdiffusion process of vanishing particles.

Tadeusz Kosztołowicz1

  • 1Institute of Physics, Jan Kochanowski University, Uniwersytecka 7, 25-406 Kielce, Poland.

Physical Review. E
|September 16, 2022
PubMed
Summary

This study models subdiffusion and molecule survival using fractional calculus, deriving first-passage time distributions. The findings reveal how timescale changes influence molecular processes and their vanishing probabilities.

More Related Videos

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging
06:34

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging

Published on: September 2, 2016

6.5K
Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

8.0K

Related Experiment Videos

Last Updated: Aug 28, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

8.6K
In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging
06:34

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging

Published on: September 2, 2016

6.5K
Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

8.0K

Area of Science:

  • Physics
  • Chemistry
  • Mathematical Modeling

Background:

  • Subdiffusion describes anomalous molecular movement where particles move slower than predicted by Brownian motion.
  • Molecule survival equations model the probability of a molecule persisting over time, considering decay or disappearance.
  • Fractional calculus offers advanced tools to describe complex, non-local temporal dynamics in physical and chemical processes.

Purpose of the Study:

  • To develop a unified mathematical framework for subdiffusion with time-dependent vanishing probabilities.
  • To derive the first-passage time distribution for this combined process.
  • To analyze the interplay between subdiffusion dynamics and molecule disappearance rates.

Main Methods:

  • Utilizing Caputo fractional time derivatives with respect to general time-scaling functions g1 and g2.
  • Deriving the first-passage time probability distribution function.
  • Analyzing the specific case where g1 is identical to g2, indicating a strong coupling between subdiffusion and survival.

Main Results:

  • The study successfully derives the first-passage time distribution for subdiffusion with time-dependent molecule vanishing.
  • It demonstrates how the functions g1 and g2 modify the characteristic timescales of both subdiffusion and survival.
  • A significant finding is the ability to model the mutual influence of these processes when g1 and g2 are related.

Conclusions:

  • The developed model provides a flexible approach to studying complex molecular dynamics involving anomalous diffusion and decay.
  • The first-passage time distribution is a key metric for understanding the temporal behavior of such systems.
  • The framework highlights the importance of considering coupled dynamics for accurate predictions in related scientific fields.