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

Network Function of a Circuit01:25

Network Function of a Circuit

995
Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.
995
Vector Algebra: Graphical Method01:10

Vector Algebra: Graphical Method

18.6K
Vectors can be multiplied by scalars, added to other vectors, or subtracted from other vectors. The vector sum of two (or more) vectors is called the resultant vector or, for short, the resultant.
We use the laws of geometry to construct resultant vectors, followed by trigonometry to find vector magnitudes and directions. For a geometric construction of the sum of two vectors in a plane, we follow the parallelogram rule. Suppose two vectors are at arbitrary positions. Translate either one of...
18.6K
Circuit Terminology01:14

Circuit Terminology

3.2K
An electrical network is a system composed of interconnected elements, such as resistors, capacitors, inductors, and voltage or current sources. Unlike a circuit, an electrical network does not necessarily form a closed path. In other words, while all circuits can be considered networks due to their interconnected nature, not every network qualifies as a circuit.
A circuit, on the other hand, is also an interconnected system of electrical elements but must contain one or more closed paths.
3.2K
Maximum Power Flow and Line Loadability01:23

Maximum Power Flow and Line Loadability

700
The maximum power flow for lossy transmission lines is derived using ABCD parameters in phasor form. These parameters create a matrix relationship between the sending-end and receiving-end voltages and currents, allowing the determination of the receiving-end current. This relationship facilitates calculating the complex power delivered to the receiving end, from which real and reactive power components are derived.
700
Protein Networks02:26

Protein Networks

4.7K
An organism can have thousands of different proteins, and these proteins must cooperate to ensure the health of an organism. Proteins bind to other proteins and form complexes to carry out their functions. Many proteins interact with multiple other proteins creating a complex network of protein interactions.
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
4.7K
Protein Networks02:26

Protein Networks

2.9K
2.9K

You might also read

Related Articles

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

Sort by
Same author

A data-parsimonious model for long-term risk assessments of West Nile virus spillover.

Scientific reports·2026
Same author

Animal movement estimation and network-based epidemic modeling: Illustration for the swine industry in Iowa (US).

PloS one·2025
Same author

A parsimonious Bayesian predictive model for forecasting new reported cases of West Nile disease.

Infectious Disease Modelling·2025
Same author

Evaluation of the 2022 West Nile virus forecasting challenge, USA.

Parasites & vectors·2025
Same author

MAD-FC: A fold change visualization with readability, proportionality, and symmetry.

PloS one·2024
Same author

Biophysical modulation and robustness of itinerant complexity in neuronal networks.

Frontiers in network physiology·2024
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Mar 22, 2026

Modeling the Functional Network for Spatial Navigation in the Human Brain
05:55

Modeling the Functional Network for Spatial Navigation in the Human Brain

Published on: October 13, 2023

1.6K

Maximizing algebraic connectivity in interconnected networks.

Heman Shakeri1, Nathan Albin2, Faryad Darabi Sahneh1

  • 1Electrical and Computer Engineering Department, Kansas State University, Manhattan, Kansas, USA.

Physical Review. E
|April 15, 2016
PubMed
Summary
This summary is machine-generated.

Optimizing interlayer links in multiplex networks is crucial for connectivity. For identical layers, uniform weights are best. For arbitrary layers, uniform weights suffice below a budget threshold, simplifying network design.

More Related Videos

Soft Pneumatic Robot Modulates Graph Theory Metrics of Brain Network for Hand Rehabilitation After Stroke
05:30

Soft Pneumatic Robot Modulates Graph Theory Metrics of Brain Network for Hand Rehabilitation After Stroke

Published on: October 10, 2025

600
Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

1.2K

Related Experiment Videos

Last Updated: Mar 22, 2026

Modeling the Functional Network for Spatial Navigation in the Human Brain
05:55

Modeling the Functional Network for Spatial Navigation in the Human Brain

Published on: October 13, 2023

1.6K
Soft Pneumatic Robot Modulates Graph Theory Metrics of Brain Network for Hand Rehabilitation After Stroke
05:30

Soft Pneumatic Robot Modulates Graph Theory Metrics of Brain Network for Hand Rehabilitation After Stroke

Published on: October 10, 2025

600
Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

1.2K

Area of Science:

  • Network Science
  • Graph Theory
  • Applied Mathematics

Background:

  • Algebraic connectivity, derived from the Laplacian matrix's second eigenvalue, quantifies network robustness.
  • Multiplex networks, comprising interconnected layers with interlayer links, require careful design for optimal functionality.
  • Designing interlayer links under constraints is essential for achieving well-connected multilayer network structures.

Purpose of the Study:

  • To determine the optimal weight distribution for one-to-one interlayer links in multiplex networks.
  • To analyze the impact of budget constraints on interlayer link optimization.
  • To identify conditions where uniform weight distribution is optimal versus when nonuniform distributions are necessary.

Main Methods:

  • Mathematical analysis of the supra-Laplacian matrix eigenvalues for multiplex networks.
  • Optimization of interlayer link weights under a defined budget constraint.
  • Investigation of network behavior across different budget regimes.

Main Results:

  • For multiplex networks with identical layers, uniform weight distribution for interlayer links is always optimal.
  • For arbitrary layers, a critical budget threshold exists: below it, uniform weights are optimal, and the Fiedler vector is layer-wise constant.
  • Above the threshold budget, optimal weight distributions can become nonuniform, leading to more complex network configurations.

Conclusions:

  • The study provides analytical insights into optimizing interlayer link weights in multiplex networks.
  • A significant finding is that for budgets below a calculable threshold, uniform weight distribution is optimal, simplifying design.
  • This simplifies the optimization problem by eliminating the need for complex calculations when budgets are limited.