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Related Concept Videos

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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...
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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...
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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...
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Diffusion01:21

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Diffusion is a type of passive transport. In passive transport, a substance tends to move from an area of high concentration to an area of low concentration until the concentration is equal across the space. For example, take the diffusion of substances through the air. When someone opens a perfume bottle in a room filled with people, the perfume is at its highest concentration in the bottle and is at its lowest at the edges of the room. The perfume vapor will diffuse, or spread away, from the...
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Adsorption Isotherms I01:29

Adsorption Isotherms I

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Adsorption isotherms are mathematical models that describe how molecules in a gas or liquid phase interact with surfaces. Two of the most common isotherm models are the Langmuir and Freundlich isotherms, which relate to Type I monolayer chemisorption. The Langmuir model is based on four key assumptions:• Adsorption cannot exceed monolayer coverage.• All surface sites are equivalent.• Molecules adsorb only at vacant sites.• There are no interactions between adsorbed...
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Theories of Dissolution: Diffusion Layer Model01:15

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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.
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Related Experiment Video

Updated: Apr 15, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
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Driven diffusive systems with mutually interactive Langmuir kinetics.

H D Vuijk1, R Rens1, M Vahabi1

  • 1Department of Physics and Astronomy, VU University, Amsterdam, The Netherlands.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 15, 2015
PubMed
Summary
This summary is machine-generated.

We studied a model of particle movement on a line, incorporating interactions between particles. Mutual interactions influence boundary effects and phase behavior, with analytical and simulation results showing good agreement.

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Area of Science:

  • Statistical Mechanics
  • Soft Matter Physics
  • Biophysics

Background:

  • Motor proteins on microtubules exhibit clustering behavior.
  • Understanding particle dynamics with local interactions is crucial.
  • Existing models may not fully capture complex interaction effects.

Purpose of the Study:

  • To investigate a driven particle model with mutually interactive Langmuir kinetics.
  • To analyze how neighbor occupancy affects particle attachment and detachment.
  • To explore the impact of mutual interactions on boundary effects and phase behavior.

Main Methods:

  • Developed a one-dimensional totally asymmetric exclusion process model.
  • Incorporated mutually interactive Langmuir kinetics.
  • Derived continuum mean-field equations and analytic solutions.
  • Performed Monte Carlo simulations for validation.

Main Results:

  • Mutual interactions modify phase behavior and boundary effects.
  • Analytical approximations closely match simulation results.
  • Phase diagrams were generated for various parameter ranges.
  • Model captures clustering phenomena observed in biological systems.

Conclusions:

  • The model provides a framework for understanding motor protein clustering.
  • Mutual interactions play a significant role in system dynamics.
  • The study validates analytical approaches against numerical simulations.