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

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

53
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
53
Stability of structures01:14

Stability of structures

165
In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
165
Castigliano's Theorem: Problem Solving01:14

Castigliano's Theorem: Problem Solving

642
The deflection of a simply supported beam that carries a central point load can be analyzed using structural mechanics principles, particularly by applying Castigliano's theorem. This theorem relates the displacement at the load application point to the partial derivatives of the strain energy in the structure. The simply supported beam with a point load at its center has symmetric reaction forces at the supports, each bearing half of the load. The bending moment at any point along the beam...
642
Castigliano's Theorem01:18

Castigliano's Theorem

396
Castigliano's theorem analyzes displacements and rotations in elastic structures. It relates the derivative of elastic strain energy to the applied forces or moments, allowing for the calculation of deformations. The theorem states that the partial derivative of the total strain energy of a system with respect to a specific load results in the displacement at the point where the load is applied. This principle applies to both forces and moments.
396
Routh-Hurwitz Criterion II01:19

Routh-Hurwitz Criterion II

243
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
243
Theorems of Pappus and Guldinus: Problem Solving01:12

Theorems of Pappus and Guldinus: Problem Solving

739
Pappus and Guldinus's theorems are powerful mathematical principles that are used for finding the surface area and volume of composite shapes. For example, consider a cylindrical storage tank with a conical top. Finding the surface area or volume can be challenging for such complex shapes. These theorems are particularly useful in calculating the volume and surface area of such systems. Here, the cylindrical storage tank with a conical top can be broken down into two simple shapes: a...
739

You might also read

Related Articles

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

Sort by
Same author

Response to Comment on: The outcomes of inflatable penile prosthesis implantation in the context of genital gender affirming surgery in assigned female at birth patients: a comparative study between cis-male dacron modified and Zephyr surgical implants 475 female to male penile prosthesis.

International journal of impotence research·2026
Same author

External scrotal drainage during three-piece inflatable penile prosthesis implantation: preliminary observations from a prospective randomized experience.

International journal of impotence research·2026
Same author

Minimally Invasive Mitrofanoff in Children: Versatile Laparoscopic Strategies-From Low-Resource to Non-Robotic High-Cost Settings in an Exploratory Case Series.

Journal of clinical medicine·2026
Same author

Shortest-path percolation on scale-free networks.

Physical review. E·2026
Same author

Comment on: A nationwide multicentric analysis of lengthening corporoplasty with collagen fleece in Peyronie's disease.

International journal of impotence research·2026
Same author

Targeting the acute phase of Peyronie's disease: preliminary experience with Perovial®, a novel hyaluronic acid formulation.

International journal of impotence research·2025

Related Experiment Video

Updated: Jun 30, 2025

Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations
12:27

Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations

Published on: February 15, 2017

7.0K

Strongly clustered random graphs via triadic closure: An exactly solvable model.

Lorenzo Cirigliano1,2, Claudio Castellano2,3, Gareth J Baxter4

  • 1Dipartimento di Fisica Università "Sapienza", P. le A. Moro, 2, I-00185 Rome, Italy.

Physical Review. E
|March 16, 2024
PubMed
Summary

This study introduces a static triadic closure (STC) model for clustered networks. The model accurately predicts network clustering by analyzing triad formation probabilities and backbone network properties.

More Related Videos

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
06:35

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates

Published on: February 15, 2016

8.1K
Hi-C: A Method to Study the Three-dimensional Architecture of Genomes.
22:27

Hi-C: A Method to Study the Three-dimensional Architecture of Genomes.

Published on: May 6, 2010

408.9K

Related Experiment Videos

Last Updated: Jun 30, 2025

Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations
12:27

Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations

Published on: February 15, 2017

7.0K
Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
06:35

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates

Published on: February 15, 2016

8.1K
Hi-C: A Method to Study the Three-dimensional Architecture of Genomes.
22:27

Hi-C: A Method to Study the Three-dimensional Architecture of Genomes.

Published on: May 6, 2010

408.9K

Area of Science:

  • Network Science
  • Statistical Physics
  • Complex Systems

Background:

  • Triadic closure is a key mechanism driving network clustering in real-world systems.
  • Understanding motif formation is crucial for characterizing network topology.

Purpose of the Study:

  • To introduce and analyze a static triadic closure (STC) model for generating clustered networks.
  • To derive analytical expressions for small network motifs based on backbone network properties.
  • To investigate the impact of network heterogeneity on transitivity and higher-order motifs.

Main Methods:

  • Definition of a static triadic closure (STC) model.
  • Derivation of exact expressions for expected motif counts using moments of the backbone degree distribution.
  • Analysis of transitions in motif densities based on network heterogeneity.
  • Testing approximate relationships between motif densities on real-world network datasets.

Main Results:

  • Exact expressions for expected numbers of triangles, 4-loops, diamonds, and 4-cliques derived.
  • Demonstrated dependence of transitivity and generalized motifs on backbone network heterogeneity.
  • Identified transitions in network structure due to topologically inequivalent triads.
  • Validated approximate relationships between motif densities against real-world network data.

Conclusions:

  • The static triadic closure (STC) model provides a realistic and analytically tractable mechanism for generating clustered networks.
  • Network heterogeneity significantly influences the formation of network motifs and overall transitivity.
  • The STC model offers valuable insights into the fundamental processes underlying complex network formation.