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Related Concept Videos

Fast Reactions01:27

Fast Reactions

Fast reactions occurring in times shorter than the time needed to mix reactants pose a unique challenge for investigation. In a liquid-phase continuous-flow system, reactants A and B are swiftly pushed into the mixing chamber, where mixing occurs within 1 ms. The reaction mixture then flows through an observation tube, and one measures light absorption to determine species concentrations at various points of the tube. This method is most appropriate when relatively large volumes of reactants...
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

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...
Protein Diffusion in the Membrane01:24

Protein Diffusion in the Membrane

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

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

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...
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Measuring Reaction Rates

Polarimetry finds application in chemical kinetics to measure the concentration and reaction kinetics of optically active substances during a chemical reaction. Optically active substances have the capability of rotating the plane of polarization of linearly polarized light passing through them—a feature called optical rotation. Optical activity is attributed to the molecular structure of substances. Normal monochromatic light is unpolarized and possesses oscillations of the electrical field in...

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Related Experiment Video

Updated: Jun 16, 2026

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

FAST MONTE CARLO SIMULATION METHODS FOR BIOLOGICAL REACTION-DIFFUSION SYSTEMS IN SOLUTION AND ON SURFACES.

Rex A Kerr1, Thomas M Bartol, Boris Kaminsky

  • 1HHMI Janelia Farm Research Campus, Ashburn, VA 20147 and Computational Neurobiology Laboratory, The Salk Institute, La Jolla, CA 92037. This author was supported by grants NIH R01 GM069630, NIH P01-NS044306, NSF PHY-0216576, and PHY-0225630 and by HHMI.

SIAM Journal on Scientific Computing : a Publication of the Society for Industrial and Applied Mathematics
|February 13, 2010
PubMed
Summary

New MCell3 software enables efficient, spatially realistic Monte Carlo simulations for complex biological systems. This approach offers greater accuracy and cost-effectiveness than traditional continuum methods for studying cellular processes.

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Last Updated: Jun 16, 2026

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

  • Computational Biology
  • Biophysics
  • Biochemistry

Background:

  • Physiological processes occur at scales challenging for atom-realistic simulations.
  • Discrete stochastic methods are often better suited for modeling molecular interactions in cellular environments.

Purpose of the Study:

  • To introduce and validate new tools and algorithms in MCell3 for generalized Monte Carlo modeling.
  • To enhance the simulation of diffusion and chemical reactions in various cellular spaces.

Main Methods:

  • Developed MCell3 with new syntax for surface reaction directionality.
  • Implemented optimizations like event scheduling and variable time/space steps for computational efficiency.
  • Validated simulations against analytic solutions for simple reaction-diffusion systems.

Main Results:

  • MCell3 supports generalized Monte Carlo modeling in solution, on surfaces, and combined environments.
  • Optimizations significantly reduce computational costs for complex simulations.
  • Validated models demonstrate accuracy comparable to analytic solutions.

Conclusions:

  • Spatially realistic Monte Carlo simulations using MCell3 are more cost-effective than previously assumed.
  • MCell3 provides enhanced accuracy and insight into biological systems beyond continuum methods.