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

Adsorption Isotherms I01:29

Adsorption Isotherms I

197
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...
197
Adsorption Isotherms II01:25

Adsorption Isotherms II

122
Brunauer, Emmett, and Teller (BET) introduced a theory in 1938 that modified Langmuir's assumptions to explain multilayer physical adsorption. This theory is applicable to Type II isotherms and provides a more realistic picture of adsorption processes. The BET theory assumes a uniform solid surface with localized adsorption sites, where adsorption at one site doesn't affect adsorption at neighboring sites. This theory also allows for the possibility of additional molecules being adsorbed on top...
122
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

415
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
415
Maxwell-Boltzmann Distribution: Problem Solving01:20

Maxwell-Boltzmann Distribution: Problem Solving

3.2K
Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
3.2K
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation

1.5K
This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...
1.5K
Modeling and Similitude01:12

Modeling and Similitude

772
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...
772

You might also read

Related Articles

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

Sort by
Same author

Evolution of a Client-Level Dataset: 20 Years of National Child Traumatic Stress Network Data Collection.

International journal of methods in psychiatric research·2026
Same author

[Hip prostheses as a treatment for acetabular fractures in the elderly].

Acta ortopedica mexicana·2025
Same author

Landscape influences bat suppression of pine processionary moth: Implications for pest management.

Journal of environmental management·2024
Same author

Assessing domain match and feasibility of candidate instruments matching with OMERACT endorsed domains to measure flare in knee and hip osteoarthritis.

Seminars in arthritis and rheumatism·2024
Same author

One-year variation in quantity and properties of microplastics in mussels (Mytilus galloprovincialis) and cockles (Cerastoderma edule) from Aveiro lagoon.

Environmental pollution (Barking, Essex : 1987)·2023
Same author

An algorithm to determine the date when the McDonald criteria are met for the diagnosis of relapsing-remitting multiple sclerosis.

Revue neurologique·2022

Related Experiment Video

Updated: Apr 18, 2026

Author Spotlight: Advancing Cell Membrane Biophysics - Exploring Interactions and Challenges Through Experimental and Computational Approaches
07:31

Author Spotlight: Advancing Cell Membrane Biophysics - Exploring Interactions and Challenges Through Experimental and Computational Approaches

Published on: September 1, 2023

3.5K

Modeling Langmuir isotherms with the Gillespie stochastic algorithm.

J Epstein1, J Michael1, C Mandona2

  • 1Carnegie Mellon University, Pittsburgh, PA, USA; Miami University, Oxford, OH, USA.

Journal of Chromatography. A
|January 19, 2015
PubMed
Summary

This study presents a robust Gillespie algorithm model for simulating single and multicomponent adsorption isotherms. The approach accurately predicts biological molecule interactions with various adsorbents, extending beyond traditional Langmuir theory.

Keywords:
Gillespie stochastic algorithmIon-exchange chromatographyIsothermsLangmuir approachModeling

More Related Videos

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
Optimize Flue Gas Settings to Promote Microalgae Growth in Photobioreactors via Computer Simulations
14:33

Optimize Flue Gas Settings to Promote Microalgae Growth in Photobioreactors via Computer Simulations

Published on: October 1, 2013

15.0K

Related Experiment Videos

Last Updated: Apr 18, 2026

Author Spotlight: Advancing Cell Membrane Biophysics - Exploring Interactions and Challenges Through Experimental and Computational Approaches
07:31

Author Spotlight: Advancing Cell Membrane Biophysics - Exploring Interactions and Challenges Through Experimental and Computational Approaches

Published on: September 1, 2023

3.5K
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
Optimize Flue Gas Settings to Promote Microalgae Growth in Photobioreactors via Computer Simulations
14:33

Optimize Flue Gas Settings to Promote Microalgae Growth in Photobioreactors via Computer Simulations

Published on: October 1, 2013

15.0K

Area of Science:

  • Biophysical Chemistry
  • Adsorption Science
  • Computational Modeling

Background:

  • Accurate modeling of adsorption isotherms is crucial for understanding molecular interactions.
  • Traditional models like Langmuir theory have limitations for complex systems.
  • Biological molecule adsorption involves intricate binding dynamics.

Purpose of the Study:

  • To develop a robust modeling approach for simulating single and multicomponent adsorption isotherms.
  • To apply the Gillespie stochastic algorithm to model biological molecule adsorption.
  • To validate the model's consistency with experimental data across diverse applications.

Main Methods:

  • Utilized the Gillespie stochastic algorithm for isotherm simulation.
  • Modeled protein adsorption on ion-exchange, hydrophobic, and ice crystal adsorbents.
  • Applied the algorithm to simulate binary and ternary gas-solid adsorption isotherms from literature.

Main Results:

  • The Gillespie algorithm effectively simulated isotherms consistent with Langmuir theory.
  • The model successfully predicted uptake curves beyond traditional approaches.
  • Simulations demonstrated consistency with experimental results for protein and gas adsorption.

Conclusions:

  • The Gillespie stochastic algorithm provides a robust and versatile method for modeling adsorption isotherms.
  • This approach accurately captures complex adsorption behaviors, including multicomponent systems.
  • The validated model has broad applicability in biophysical and chemical adsorption studies.