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

Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
Healing II: Complications01:24

Healing II: Complications

Complications during healing arise when tissue repair is altered by local or systemic factors. These changes involve abnormal collagen deposition, altered biomechanics, and reduced vascular supply, impairing restoration of normal structure and function.Loss of FunctionScar tissue differs significantly from the original tissue it replaces. In the skin, fibrosis lacks adnexal structures such as hair follicles, sebaceous glands, and sweat glands. Their absence reduces tactile sensitivity, impairs...
Singularity Functions for Shear01:26

Singularity Functions for Shear

In structural analysis, singularity functions are crucial in simplifying the representation of shear forces in beams under discontinuous loading. These functions describe discontinuous variations in shear force across a beam with varying loads by using a single mathematical expression, regardless of the complexity of the loading conditions. The singularity functions are derived from creating a free-body diagram of the beam and then making conceptual cuts at specific points to examine the shear...
Simpson's Rule II01:28

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...
Clinical Applications of Epidermal Stem Cells01:19

Clinical Applications of Epidermal Stem Cells

Epidermal stem cells (EpiSCs) are mainly located at the basal layer of the epidermis. These cells repair minor injuries of the skin and replace dead skin cells. However, EpiSCs’ cannot heal severe wounds such as major burns or those from diabetes or hereditary disorders. In such cases, culturing the epidermal stem cells from the patient is possible and has yielded successful treatment options, such as laboratory-grown skin grafts. These grafts are synthesized using a patient’s own EpiSCs...
Arc Length Function01:22

Arc Length Function

The arc length function represents the total distance traveled along a smooth curve measured from a fixed starting point to a variable endpoint. For curves that are continuous and differentiable, arc length provides a precise way to quantify distance when straight-line approximations are insufficient.To derive arc length, the curve is divided into many small segments. Each segment is approximated by a straight line whose length depends on the horizontal and vertical changes over that interval.

You might also read

Related Articles

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

Sort by
Same author

Ontological differentiation as a measure of semantic accuracy.

Physical review. E·2026
Same author

Dynamical localization in nonideal kicked rotors driven by two competing pulsatile modulations.

Physical review. E·2024
Same author

Using Lagrangian descriptors to calculate the Maslov index of periodic orbits.

Physical review. E·2024
Same author

Using reservoir computing to construct scarred wave functions.

Physical review. E·2024
Same author

Disentangling Jenny's equation by machine learning.

Scientific reports·2023
Same author

Binding affinity predictions with hybrid quantum-classical convolutional neural networks.

Scientific reports·2023
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

Related Experiment Video

Updated: May 23, 2026

Visualizing Scar Development Using SCAD Assay - An Ex-situ Skin Scarring Assay
07:40

Visualizing Scar Development Using SCAD Assay - An Ex-situ Skin Scarring Assay

Published on: April 28, 2022

Computationally efficient method to construct scar functions.

F Revuelta1, E G Vergini, R M Benito

  • 1Grupo de Sistemas Complejos and Departamento de Física, Escuela Técnica Superior de Ingenieros Agrónomos, Universidad Politécnica de Madrid, E-28040 Madrid, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 3, 2012
PubMed
Summary
This summary is machine-generated.

This study evaluates a straightforward method for calculating scar functions, which are crucial for understanding quantum chaos. The method proves efficient even for complex trajectories in chaotic systems.

More Related Videos

In Vitro Model of Human Cutaneous Hypertrophic Scarring using Macromolecular Crowding
08:20

In Vitro Model of Human Cutaneous Hypertrophic Scarring using Macromolecular Crowding

Published on: May 1, 2020

A Mouse Model of Mechanotransduction-driven, Human-like Hypertrophic Scarring
05:54

A Mouse Model of Mechanotransduction-driven, Human-like Hypertrophic Scarring

Published on: November 29, 2024

Related Experiment Videos

Last Updated: May 23, 2026

Visualizing Scar Development Using SCAD Assay - An Ex-situ Skin Scarring Assay
07:40

Visualizing Scar Development Using SCAD Assay - An Ex-situ Skin Scarring Assay

Published on: April 28, 2022

In Vitro Model of Human Cutaneous Hypertrophic Scarring using Macromolecular Crowding
08:20

In Vitro Model of Human Cutaneous Hypertrophic Scarring using Macromolecular Crowding

Published on: May 1, 2020

A Mouse Model of Mechanotransduction-driven, Human-like Hypertrophic Scarring
05:54

A Mouse Model of Mechanotransduction-driven, Human-like Hypertrophic Scarring

Published on: November 29, 2024

Area of Science:

  • Quantum chaos
  • Classical and quantum dynamics

Background:

  • Scar functions provide insights into the behavior of quantum systems.
  • Unstable periodic orbits are key to understanding complex dynamics.
  • Efficient computation methods are needed for complicated trajectories.

Purpose of the Study:

  • To assess the performance of a simplified computational method for scar functions.
  • To demonstrate the method's applicability to classically chaotic systems.

Main Methods:

  • Utilizing a previously proposed simple method for scar function computation.
  • Applying the method to a two-dimensional quartic oscillator model.

Main Results:

  • The discussed method efficiently computes scar functions.
  • The method is effective even for complex trajectories along unstable periodic orbits.

Conclusions:

  • The simple method is a viable and efficient tool for analyzing scar functions in chaotic systems.
  • This approach aids in the study of quantum chaos and complex dynamics.