Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

671
Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
671
Transformation of Plane Strain01:12

Transformation of Plane Strain

583
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...
583
Curvilinear Motion: Rectangular Components01:23

Curvilinear Motion: Rectangular Components

1.4K
Curvilinear motion characterizes the movement of a particle or object along a curved path, notably evident when envisioning a car navigating a winding road. If the car starts at point A, its position vector is established within a fixed frame of reference, where the ratio of the position vector to its magnitude signifies the unit vector pointing in the position vector's direction.
As the car advances, its position evolves over time. Quantifying the car's velocity involves computing the...
1.4K
Streamlines, Streaklines, and Pathlines01:18

Streamlines, Streaklines, and Pathlines

2.1K
A streamline represents the trajectory that is always tangent to the fluid's velocity vector at any given point. The velocity of a fluid particle is always directed along the streamline, ensuring the particle continuously follows the streamline's path. Streamlines are particularly useful for visualizing the overall direction of flow in a fluid system, and they provide an instantaneous representation of the flow's velocity field. In steady flow, where conditions do not change over...
2.1K
Mohr's Circle for Plane Strain01:18

Mohr's Circle for Plane Strain

1.3K
Mohr's circle is a crucial graphical method used to analyze plane strain by plotting strain on a set of cartesian coordinates, where the abscissa is normal strain ∈ and the ordinate is shear strain γ. Similarly to Mohr’s circle for plane stress, two points X and Y are plotted. Their coordinates are (∈x, -γXY) and (∈Y, γXY), respectively.
Mohr's circle visually represents the strain states under various conditions, which is essential for...
1.3K
Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

563
When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
563

You might also read

Related Articles

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

Sort by
Same author

Reconstructing Waddington's landscape from data.

Proceedings of the National Academy of Sciences of the United States of America·2025
Same author

A geometrical model of cell fate specification in the mouse blastocyst.

Development (Cambridge, England)·2024
Same author

A geometrical perspective on development.

Development, growth & differentiation·2023
Same author

Deep-learning analysis of micropattern-based organoids enables high-throughput drug screening of Huntington's disease models.

Cell reports methods·2022
Same author

Mechanisms underlying WNT-mediated priming of human embryonic stem cells.

Development (Cambridge, England)·2022
Same author

In vitro attachment and symmetry breaking of a human embryo model assembled from primed embryonic stem cells.

Cell stem cell·2022

Related Experiment Video

Updated: Mar 2, 2026

Applying Permanent, Robust Stenciled Patterns of Fine Particles to Elastomeric Surfaces
07:12

Applying Permanent, Robust Stenciled Patterns of Fine Particles to Elastomeric Surfaces

Published on: July 8, 2025

546

A Geometric Model of Stripe Refinement.

Eric D Siggia1

  • 1Center for Studies in Physics and Biology, The Rockefeller University, New York, NY 10065, USA.

Developmental Cell
|May 10, 2017
PubMed
Summary
This summary is machine-generated.

Researchers developed a new model to understand cell interactions in developmental biology. This model simplifies complex bristle patterns in Drosophila, offering quantitative predictions for morphogenesis.

More Related Videos

Stripe Assay to Study the Attractive or Repulsive Activity of a Protein Substrate Using Dissociated Hippocampal Neurons
08:11

Stripe Assay to Study the Attractive or Repulsive Activity of a Protein Substrate Using Dissociated Hippocampal Neurons

Published on: June 19, 2016

11.2K
Creating a Structurally Realistic Finite Element Geometric Model of a Cardiomyocyte to Study the Role of Cellular Architecture in Cardiomyocyte Systems Biology
08:54

Creating a Structurally Realistic Finite Element Geometric Model of a Cardiomyocyte to Study the Role of Cellular Architecture in Cardiomyocyte Systems Biology

Published on: April 18, 2018

10.1K

Related Experiment Videos

Last Updated: Mar 2, 2026

Applying Permanent, Robust Stenciled Patterns of Fine Particles to Elastomeric Surfaces
07:12

Applying Permanent, Robust Stenciled Patterns of Fine Particles to Elastomeric Surfaces

Published on: July 8, 2025

546
Stripe Assay to Study the Attractive or Repulsive Activity of a Protein Substrate Using Dissociated Hippocampal Neurons
08:11

Stripe Assay to Study the Attractive or Repulsive Activity of a Protein Substrate Using Dissociated Hippocampal Neurons

Published on: June 19, 2016

11.2K
Creating a Structurally Realistic Finite Element Geometric Model of a Cardiomyocyte to Study the Role of Cellular Architecture in Cardiomyocyte Systems Biology
08:54

Creating a Structurally Realistic Finite Element Geometric Model of a Cardiomyocyte to Study the Role of Cellular Architecture in Cardiomyocyte Systems Biology

Published on: April 18, 2018

10.1K

Area of Science:

  • Developmental biology
  • Cellular morphogenesis
  • Pattern formation

Background:

  • Organizing complex data in developmental biology is challenging.
  • Understanding cell interactions is key to morphogenesis.
  • Bristle patterns in Drosophila present a complex biological problem.

Purpose of the Study:

  • To develop a coherent framework for patterning and morphogenesis data.
  • To model nonlinear interactions among cells in Drosophila bristle development.
  • To create a succinct model with quantitative predictive power.

Main Methods:

  • Applied innovative analysis to Drosophila bristle patterns.
  • Reduced complex cellular interactions to a simplified model.
  • Utilized quantitative methods for prediction.

Main Results:

  • Successfully modeled nonlinear interactions among tens of cells.
  • Developed a succinct model for bristle patterns.
  • Generated quantitative predictions for the developmental process.

Conclusions:

  • The study provides a new framework for understanding developmental patterns.
  • The model simplifies complex biological interactions.
  • Innovative analysis can solve long-standing problems in developmental biology.