Search research 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

Related Concept Videos

Method of Superposition

Method of Superposition

The method of superposition is a crucial technique in structural engineering, used to analyze the effect of multiple loads on beams. This approach involves calculating the deflection and slope for each load on a beam separately, and then summing these effects to determine the overall impact. It is applicable only when the beam material remains within its elastic limit, ensuring that deformations are linearly elastic.
When applying the method of superposition, each type of load—whether...

Finding Volume Using Cross-Sectional Area

Finding Volume Using Cross-Sectional Area

For solids whose cross-sectional areas vary in a predictable way, volume can be determined by integrating these areas along an axis perpendicular to the slices. This approach is particularly useful for polyhedral solids, where classical geometric formulas may not be immediately applicable. A tetrahedron provides a clear example of how cross-sectional integration can be applied to a three-dimensional object with continuously changing geometry.Consider a tetrahedron with height h and a base that...

Wedges

Wedges

A wedge is a simple machine that serves various purposes, such as adjusting the elevation of structural or mechanical parts, providing stability for heavy objects, and splitting a body into two parts. This versatile tool can amplify an applied force, making it easier to manipulate large or heavy objects.
Consider using a wedge to lift a heavy slab. Here, the wedge functions by converting the applied force into a much larger force directed almost perpendicular to the initial force. This...

Simpson's Rule II

Simpson's Rule II

In warehouse roofing applications, corrugated or curved metal sheets are commonly used to improve structural strength, water drainage, and ventilation efficiency. To accurately estimate material requirements and optimize design parameters, engineers must determine the curved surface area of these sheets. Because the sheet profiles often repeat smoothly along their length, they can be effectively approximated by parabolic curves, enabling the use of numerical integration techniques for area...

Interpretations of Partial Derivatives

Interpretations of Partial Derivatives

A surface defined by a function of two variables can be visualized as a vast, uneven terrain, where each point is identified using Cartesian coordinates. The elevation of the terrain at any point is determined by a function that assigns a height value to every pair of horizontal coordinates. This representation allows the surface to be studied in terms of how its height varies across different directions.At a specific point on this terrain, understanding how the height changes requires...

Transformation of Plane Strain

Transformation of Plane Strain

When analyzing elongated structures like bars subjected to uniformly distributed loads, it is essential to understand the transformation of plane strain when coordinate axes are rotated. This transformation helps to assess how material deformation characteristics vary with orientation, which is crucial in materials science and structural engineering.
Under plane strain conditions, typical for members where one dimension significantly exceeds the others, deformations and resultant strains are...

You might also read

Related Articles

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

Sort by

Same author

Bulletin de la Societe de pathologie exotique (1990)·2024

Same author

Replantation of a lip thrown in the bin.

Journal of stomatology, oral and maxillofacial surgery·2021

Same author

Affective response to whole-body cryotherapy: Influence of sex, body mass index, age, time of day, and past experience.

Complementary therapies in medicine·2020

Same author

Preliminary study on the effect of sex on skin cooling response during whole body cryostimulation (-110 °C): Modeling and prediction of exposure durations.

Cryobiology·2020

Same author

Effects of Whole-Body Cryostimulation (-90°C) on Somnolence and Psychological Well-Being in an Older Patient with Restless Legs Syndrome.

Applied psychology. Health and well-being·2019

Same author

Functional and morphologic outcomes of CAD/CAM-assisted versus conventional microvascular fibular free flap reconstruction of the mandible: A retrospective study of 25 cases.

Journal of stomatology, oral and maxillofacial surgery·2018

Search research articles

Related Experiment Video

Updated: Jun 27, 2026

Production of Single Tracks of Ti-6Al-4V by Directed Energy Deposition to Determine the Layer Thickness for Multilayer Deposition

Production of Single Tracks of Ti-6Al-4V by Directed Energy Deposition to Determine the Layer Thickness for Multilayer Deposition

Published on: March 13, 2018

Stereological estimation for layered structures based on slabs perpendicular to a surface.

D Legland¹, M-F Devaux, K Kiêu

¹INRA, UR1268 Biopolymers - Interactions and Assemblies, F-44300 Nantes, France. david.legland@nantes.inra.fr

Journal of Microscopy

|November 20, 2008

Summary

This summary is machine-generated.

This study introduces a new method for characterizing layered structures using non-uniform sampling. The technique accurately estimates surface area density, even with complex curved surfaces.

More Related Videos

Measuring Sensitivity to Viewpoint Change with and without Stereoscopic Cues

Measuring Sensitivity to Viewpoint Change with and without Stereoscopic Cues

Published on: December 4, 2013

Related Experiment Videos

Last Updated: Jun 27, 2026

Production of Single Tracks of Ti-6Al-4V by Directed Energy Deposition to Determine the Layer Thickness for Multilayer Deposition

Production of Single Tracks of Ti-6Al-4V by Directed Energy Deposition to Determine the Layer Thickness for Multilayer Deposition

Published on: March 13, 2018

Measuring Sensitivity to Viewpoint Change with and without Stereoscopic Cues

Measuring Sensitivity to Viewpoint Change with and without Stereoscopic Cues

Published on: December 4, 2013

Area of Science:

Materials Science
Stereology
Biophysics

Background:

Characterizing layered structures is crucial in materials science and biology.
Non-uniform sampling presents challenges for accurate structural analysis.
Existing methods may struggle with curved reference surfaces.

Purpose of the Study:

To develop an estimation procedure for layered structures sampled non-uniformly.
To address challenges posed by curved reference surfaces in sampling.
To accurately estimate surface area density in biological tissues.

Main Methods:

Utilized the Horvitz-Thompson principle for estimation.
Developed an approximation for sampling probability based on surface curvature and slab dimensions.
Detailed practical parameter determination for revolution surfaces.

Main Results:

Presented a novel estimation procedure for non-uniformly sampled layered structures.
The sampling probability approximation effectively incorporates local surface geometry.
Successfully applied the procedure to estimate cell wall surface area density in tomato pericarp.

Conclusions:

The proposed method provides accurate characterization of layered structures with non-uniform sampling.
The approach is robust for surfaces with varying curvatures.
This technique offers a valuable tool for quantitative stereology in biological and material sciences.