Search research articles

Related Concept Videos

Introduction to Membrane Traffic

Introduction to Membrane Traffic

The ER, Golgi apparatus, endosomes, and lysosomes work in tandem to modify, sort, and package proteins and lipids. An integrated membrane trafficking network facilitates the back and forth shuttling of molecules within different organelles in the same cell or across the cell membrane.
The transport of soluble and membrane proteins is mediated by transport vesicles that collect cargo from one cellular compartment and deliver it to another by fusing with the target organelle membrane. The Rab...

Determining the Plane of Cell Division

Determining the Plane of Cell Division

Positioning the cell division plane is a critical step during development and cell differentiation, particularly during mitosis when the plane is essential for determining the size of the two daughter cells. The cell division plane is perpendicular to the plane of chromosome segregation, but different types of organisms have different cell division mechanisms to suit their morphology and function.
Animal cells
In animal cells, the cleavage furrow forms along the plane of cell division starting...

Determining the Plane of Cell Division

Determining the Plane of Cell Division

Positioning the cell division plane is a critical step during development and cell differentiation, particularly during mitosis when the plane is essential for determining the size of the two daughter cells. The cell division plane is perpendicular to the plane of chromosome segregation, but different types of organisms have different cell division mechanisms to suit their morphology and function.
Animal cells
In animal cells, the cleavage furrow forms along the plane of cell division starting...

Mesh Analysis

Mesh Analysis

Mesh analysis is a valuable method for simplifying circuit analysis using mesh currents as key circuit variables. Unlike nodal analysis, which focuses on determining unknown voltages, mesh analysis applies Kirchhoff's voltage law (KVL) to find unknown currents within a circuit. This method is particularly convenient in reducing the number of simultaneous equations that need to be solved.
A fundamental concept in mesh analysis is the definition of meshes and mesh currents. A mesh is a closed...

Overview of Cell-Matrix Interactions

Overview of Cell-Matrix Interactions

The extracellular matrix or ECM holds cells together to form a tissue and allows the cells within the tissue to communicate. ECM comprises proteins such as fibronectin, collagen, laminin, etc. The most abundant protein in this space is collagen. Collagen fibers are interwoven with carbohydrate-containing protein molecules called proteoglycans. ECM allows cell migration and provides a structural scaffold at cell adhesion that anchors the cell when the extracellular matrix proteins interact with...

The Fluid Mosaic Model

The Fluid Mosaic Model

The fluid mosaic model was first proposed as a visual representation of research observations. The model comprises the composition and dynamics of membranes and serves as a foundation for future membrane-related studies. The model depicts the structure of the plasma membrane with a variety of components, which include phospholipids, proteins, and carbohydrates. These integral molecules are loosely bound, defining the cell’s border and providing fluidity for optimal function.

You might also read

Related Articles

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

Sort by

Same author

From nullomers to abundant motifs: Fractals, CpG Bias, and Chargaff's rules in genomic sequences.

Bio Systems·2025

Same author

Information, Coding, and Biological Function: The Dynamics of Life.

Artificial life·2024

Same author

Steady state of a two-species annihilation process with separated reactants.

Physical review. E·2023

Same author

Colloidal model of two-step protocol for epitaxial growth in one dimension.

Journal of physics. Condensed matter : an Institute of Physics journal·2022

Same author

A role for circular code properties in translation.

Scientific reports·2021

Same author

Two-step unconventional protocol for epitaxial growth in one dimension with hindered reactions.

Physical review. E·2019

Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

See all related articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Video

Updated: May 26, 2026

Improved Visualization and Quantitative Analysis of Drug Effects Using Micropatterned Cells

Improved Visualization and Quantitative Analysis of Drug Effects Using Micropatterned Cells

Published on: December 2, 2010

Voronoi cell patterns: theoretical model and applications.

Diego Luis González¹, T L Einstein

¹Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA. dgonzal2@umd.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|December 21, 2011

Summary

This summary is machine-generated.

This study introduces a fragmentation model to analyze Voronoi cell patterns and their size distributions in 1D and 2D. The model effectively describes various real-world systems, offering insights into spatial point processes.

More Related Videos

Creating Objects and Object Categories for Studying Perception and Perceptual Learning

Creating Objects and Object Categories for Studying Perception and Perceptual Learning

Published on: November 2, 2012

Simple, Affordable, and Modular Patterning of Cells using DNA

Simple, Affordable, and Modular Patterning of Cells using DNA

Published on: February 24, 2021

Related Experiment Videos

Last Updated: May 26, 2026

Improved Visualization and Quantitative Analysis of Drug Effects Using Micropatterned Cells

Improved Visualization and Quantitative Analysis of Drug Effects Using Micropatterned Cells

Published on: December 2, 2010

Creating Objects and Object Categories for Studying Perception and Perceptual Learning

Creating Objects and Object Categories for Studying Perception and Perceptual Learning

Published on: November 2, 2012

Simple, Affordable, and Modular Patterning of Cells using DNA

Simple, Affordable, and Modular Patterning of Cells using DNA

Published on: February 24, 2021

Area of Science:

Statistical Physics
Computational Geometry
Spatial Statistics

Background:

Voronoi tessellations are fundamental in spatial analysis.
Understanding the statistical properties of Voronoi cells is crucial for various scientific domains.
Previous models often lack the flexibility to capture diverse spatial point processes.

Purpose of the Study:

To develop a simple fragmentation model for describing Voronoi cell patterns and their size distributions.
To investigate the statistical behavior of Voronoi cells generated by homogeneous and isotropic point sets in 1D and 2D.
To apply the model to diverse real-world systems.

Main Methods:

A fragmentation model based on two probability distributions is proposed.
The model parameters are defined by probability distributions governing point addition and relative positioning.
In 1D, one distribution depends on a single parameter and the other on a fragmentation kernel; in 2D, both depend on a single parameter.

Main Results:

The model successfully describes Voronoi cell patterns in various systems.
The statistical behavior and size distributions of Voronoi cells are characterized.
The fragmentation kernel and control parameters correlate with physical system properties.

Conclusions:

The proposed fragmentation model provides a versatile framework for analyzing spatial point patterns.
The model offers a unified approach to understanding Voronoi cell statistics across different applications.
The findings have implications for fields ranging from materials science to urban planning.