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Related Concept Videos

Passive Diffusion: Overview and Kinetics01:17

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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.
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In an SN2 reaction, the reaction rate depends on both the type of nucleophile and the substrate. A hindered tertiary alkyl halide is practically inert to the SN2 mechanism despite using a strong nucleophile.
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The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
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Kinetic Studies and Significance
In a chemical reaction, a relationship exists between the concentration of reactants and the rate at which the reaction proceeds. The study to measure this relationship is known as the kinetics of a chemical reaction. Kinetic studies are used to deduce the rate law of a chemical reaction, which provides information about the species involved during the transition state of the rate-determining step. Thus, kinetic studies help to derive the mechanism of a...
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SN2 substitutions and E2 eliminations of alkyl halides proceed via a concerted pathway. While the nucleophile attacks the alpha carbon in SN2 reactions, it functions as a strong base and abstracts a beta hydrogen in the E2 mechanism. The rate-limiting transition state in E2 elimination reactions is characterized by partially broken carbon–hydrogen and carbon–halogen bonds and a partially formed pi bond between the alpha and beta carbons. The beta hydrogen and halide are eliminated...
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Here, in contrast to the E2 reaction mechanism, we delve into the aspects of the E1 reaction mechanism, which has two steps: rate-limiting loss of the leaving group and abstraction of the beta hydrogen by a weak base. Typically, the experimental proof for the E1 mechanism is via kinetic studies or isotope studies. While the former demonstrates the first-order kinetics—the dependence of the reaction solely on substrate concentration—the latter proves the abstraction of hydrogen only...
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Related Experiment Video

Updated: Jan 24, 2026

Visualizing Surface T-Cell Receptor Dynamics Four-Dimensionally Using Lattice Light-Sheet Microscopy
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Surface reaction-diffusion kinetics on lattice at the microscopic scale.

Wei-Xiang Chew1,2, Kazunari Kaizu1, Masaki Watabe1

  • 1Laboratory for Biologically Inspired Computing, RIKEN Center for Biosystems Dynamics Research, Suita, Osaka, Japan.

Physical Review. E
|May 22, 2019
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Summary
This summary is machine-generated.

The microscopic lattice method (MLM) accurately models cell membrane reactions by simulating individual molecules. This study derives MLM parameters, revealing optimal voxel sizes for precise simulation of surface reactions and diffusion processes.

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Area of Science:

  • Computational biology and biophysics
  • Cellular and molecular modeling
  • Reaction-diffusion systems

Background:

  • Microscopic models link local cell membrane spatiotemporal dynamics to macroscopic patterns.
  • Microscopic Lattice Method (MLM) simulates molecules as hard spheres on lattices.
  • MLM's accuracy for surface reactions requires verification.

Purpose of the Study:

  • To verify the accuracy and consistency of the Microscopic Lattice Method (MLM) for diffusion-influenced surface reactions.
  • To derive lattice-based reaction rates and determine optimal MLM parameters.
  • To demonstrate MLM's capability in simulating multi-dimensional reaction-diffusion processes on cell membranes.

Main Methods:

  • Utilized the Spatiocyte scheme to study MLM accuracy in surface reactions.
  • Derived lattice-based bimolecular association rates for 2D surface-surface and 1D volume-surface reactions using Smoluchowski-Collins-Kimball model and random walk theory.
  • Matched lattice-based rates with off-lattice counterparts to derive MLM parameters.

Main Results:

  • Determined minimum voxel size requirements for accurate surface reaction simulation on triangular (0.6%) and square (5%) lattices.
  • Derived expressions for MLM parameters based on physical constants.
  • Successfully simulated a multi-dimensional reaction-diffusion model (3D cytoplasm, 2D membrane, 1D adsorption) using Spatiocyte.

Conclusions:

  • MLM, when parameterized correctly, can accurately simulate diffusion-influenced surface reactions.
  • Voxel size is a critical parameter for MLM accuracy in surface reaction modeling.
  • MLM-based schemes like Spatiocyte are capable of simulating complex, multi-dimensional biological processes.