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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...

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Related Experiment Video

Updated: Dec 24, 2025

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

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

3D mesh processing using GAMer 2 to enable reaction-diffusion simulations in realistic cellular geometries.

Christopher T Lee¹, Justin G Laughlin¹, Nils Angliviel de La Beaumelle¹

¹Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, California, United States of America.

Plos Computational Biology

|April 7, 2020

Summary

This summary is machine-generated.

GAMer 2 software enables 3D cellular simulations by creating watertight meshes from electron microscopy data. This advances in silico biology by bridging imaging and finite element method simulations for realistic cellular process modeling.

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Area of Science:

Computational Biology
Biophysics
Cell Biology

Background:

Electron microscopy now allows 3D imaging of single cells at nanometer resolution.
Simulating cellular processes requires 3D volume meshes from these images.

Purpose of the Study:

To introduce GAMer 2 software for generating simulation-ready meshes from electron micrographs.
To demonstrate a workflow for creating boundary-marked tetrahedral meshes for finite element simulations.

Main Methods:

Utilized the rewritten GAMer 2 mesh processing software.
Applied a workflow to electron micrographs of neuronal dendrite morphology.
Generated boundary-marked tetrahedral meshes compatible with finite element analysis.

Main Results:

Successfully bridged the gap between raw micrograph data and simulation-ready meshes.
Demonstrated suitability of generated meshes for finite element simulations.
Validated the workflow across multiple length scales for neuronal dendrite morphology.

Conclusions:

GAMer 2 facilitates routine physical simulations of biological processes in realistic cellular geometries.
This work opens a new frontier in computational technologies for single-cell biology.
Enables realistic physical models advancing discovery at the geometry-cellular process interface.