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

Region of Convergence of Laplace Tarnsform01:20

Region of Convergence of Laplace Tarnsform

558
The Region of Convergence (ROC) is a fundamental concept in signal processing and system analysis, particularly associated with the Laplace transform. The ROC represents an area in the complex plane where the Laplace transform of a given signal converges, determining the transform's applicability and utility.
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This...
558
Multiple Pipe Systems01:21

Multiple Pipe Systems

766
Multipipe systems consist of complex configurations of interconnected pipes designed to transport fluids efficiently across intricate networks. They are essential in engineering applications requiring precise control over flow distribution, pressure, and head loss. They are categorized into series, parallel, loop, and network configurations, each distinguished by unique flow characteristics and applications.
Series Configuration
In a series configuration, fluid flows sequentially from one pipe...
766
Water and Mineral Acquisition02:34

Water and Mineral Acquisition

33.1K
Specialized tissues in plant roots have evolved to capture water, minerals, and some ions from the soil. Roots exhibit a variety of branching patterns that facilitate this process. The outermost root cells have specialized structures called root hairs that increase the root surface, thus increasing soil contact. Water can passively cross into roots, as the concentration of water in the soil is higher than that of the root tissue. Minerals, in contrast, are actively transported into root cells.
33.1K
Transmission-Line Differential Equations01:26

Transmission-Line Differential Equations

308
Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
308
Short-distance Transport of Resources02:12

Short-distance Transport of Resources

16.1K
Short-distance transport refers to transport that occurs over a distance of just 2-3 cells, crossing the plasma membrane in the process. Small uncharged molecules, such as oxygen, carbon dioxide, and water, can diffuse across the plasma membrane on their own. In contrast, ions and larger molecules require the assistance of transport proteins due to their charge or size. Transport across membranes also occurs within individual cells, playing a variety of essential roles for the plant as a whole.
16.1K
Xylem and Transpiration-driven Transport of Resources02:03

Xylem and Transpiration-driven Transport of Resources

23.9K
The xylem of vascular plants distributes water and dissolved minerals that are taken up by the roots to the rest of the plant. The cells that transport xylem sap are dead upon maturity, and the movement of xylem sap is a passive process.
23.9K

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
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: Jul 10, 2025

Reservoir Condition Pore-scale Imaging of Multiple Fluid Phases Using X-ray Microtomography
08:02

Reservoir Condition Pore-scale Imaging of Multiple Fluid Phases Using X-ray Microtomography

Published on: February 25, 2015

12.6K

Extended-range percolation in complex networks.

Lorenzo Cirigliano1,2, Claudio Castellano2,3, Gábor Timár4

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

Physical Review. E
|November 18, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces extended-range percolation for networks, enabling communication despite path interruptions. This new framework is crucial for modern noisy data transmission protocols in classical and quantum networks.

More Related Videos

Combining Fluidic Devices with Microscopy and Flow Cytometry to Study Microbial Transport in Porous Media Across Spatial Scales
12:32

Combining Fluidic Devices with Microscopy and Flow Cytometry to Study Microbial Transport in Porous Media Across Spatial Scales

Published on: November 25, 2020

6.5K
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

584

Related Experiment Videos

Last Updated: Jul 10, 2025

Reservoir Condition Pore-scale Imaging of Multiple Fluid Phases Using X-ray Microtomography
08:02

Reservoir Condition Pore-scale Imaging of Multiple Fluid Phases Using X-ray Microtomography

Published on: February 25, 2015

12.6K
Combining Fluidic Devices with Microscopy and Flow Cytometry to Study Microbial Transport in Porous Media Across Spatial Scales
12:32

Combining Fluidic Devices with Microscopy and Flow Cytometry to Study Microbial Transport in Porous Media Across Spatial Scales

Published on: November 25, 2020

6.5K
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

584

Area of Science:

  • Network Science
  • Information Theory
  • Statistical Physics

Background:

  • Classical percolation theory defines network communication by uninterrupted paths.
  • Modern protocols, like those using error-correcting repeaters, require a more flexible approach to connectivity.
  • Existing models are insufficient for networks where paths can have intermittent failures.

Purpose of the Study:

  • To develop a theoretical framework for extended-range percolation in networks.
  • To describe fundamental connectivity properties relevant to information transfer with noisy data.
  • To address limitations of classical percolation theory in contemporary communication systems.

Main Methods:

  • Developing a theoretical framework for extended-range percolation.
  • Obtaining exact results for infinite random uncorrelated networks for any range R.
  • Formulating a message-passing approach applicable to sparse real-world networks.

Main Results:

  • Established a theoretical framework for extended-range percolation.
  • Derived exact connectivity results for infinite random uncorrelated networks.
  • Demonstrated a message-passing formulation effective for sparse networks.
  • Identified novel critical behavior in scale-free networks due to extended range and heterogeneity.

Conclusions:

  • Extended-range percolation provides a robust model for information transfer in networks with imperfect paths.
  • The developed framework and message-passing formulation are applicable to both theoretical and real-world network scenarios.
  • Heterogeneity and extended range introduce complex critical phenomena in scale-free networks, advancing network science.