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

BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

473
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
473
Equation of Continuity01:12

Equation of Continuity

8.6K
Fluid motion is represented by either velocity vectors or streamlines. The volume of a fluid flowing past a given location through an area during a period of time is called the flow rate Q, or more precisely, the volume flow rate. Flow rate and velocity are related—for instance, a river has a greater flow rate if the velocity of the water in it is greater. However, the flow rate also depends on the size and shape of the river. The relationship between flow rate (Q) and average speed (v)...
8.6K
Network Function of a Circuit01:25

Network Function of a Circuit

339
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.
339
Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

3.2K
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
3.2K
Region of Convergence of Laplace Tarnsform01:20

Region of Convergence of Laplace Tarnsform

624
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...
624
Convolution Properties I01:20

Convolution Properties I

205
Convolution computations can be simplified by utilizing their inherent properties.
The commutative property reveals that the input and the impulse response of an LTI (Linear Time-Invariant) system can be interchanged without affecting the output:
205

You might also read

Related Articles

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

Sort by
Same author

Counting RNA Loop Interaction Networks of Homology Group Rank Zero.

Journal of computational biology : a journal of computational molecular cell biology·2025
Same author

Epihiper-A high performance computational modeling framework to support epidemic science.

PNAS nexus·2024
Same author

Potential impact of annual vaccination with reformulated COVID-19 vaccines: Lessons from the US COVID-19 scenario modeling hub.

PLoS medicine·2024
Same author

An agent-based framework to study forced migration: A case study of Ukraine.

PNAS nexus·2024
Same author

The difference between molecules and materials: Reassessing the role of exact conditions in density functional theory.

The Journal of chemical physics·2023
Same author

Potential impact of annual vaccination with reformulated COVID-19 vaccines: lessons from the U.S. COVID-19 Scenario Modeling Hub.

medRxiv : the preprint server for health sciences·2023
Same journal

Topological dependence of viral mutation spread in complex host-interaction networks.

Chaos (Woodbury, N.Y.)·2026
Same journal

Multifractal signatures of Hamiltonian chaos in Hyperion's rotational dynamics.

Chaos (Woodbury, N.Y.)·2026
Same journal

Exploring mechanisms for reversal of flow in tunicate hearts.

Chaos (Woodbury, N.Y.)·2026
Same journal

State estimation in spatiotemporal chaos via low-rank StatFEM.

Chaos (Woodbury, N.Y.)·2026
Same journal

Universal response functions in driven dissipative tunneling dynamics.

Chaos (Woodbury, N.Y.)·2026
Same journal

A network-based approach to characterize the dynamics of the coupling field of thermoacoustic oscillators in annular geometry.

Chaos (Woodbury, N.Y.)·2026
See all related articles

Related Experiment Video

Updated: Aug 8, 2025

Preparation of Liquid Crystal Networks for Macroscopic Oscillatory Motion Induced by Light
07:56

Preparation of Liquid Crystal Networks for Macroscopic Oscillatory Motion Induced by Light

Published on: September 20, 2017

11.7K

Lipschitz continuity under toric equivalence for asynchronous Boolean networks.

Ricky X F Chen1, Joseph A McNitt2, Henning S Mortveit3

  • 1School of Mathematics, Hefei University of Technology, Hefei, Anhui 230601, People's Republic of China.

Chaos (Woodbury, N.Y.)
|March 1, 2023
PubMed
Summary
This summary is machine-generated.

Asynchronous Boolean networks (ABNs) exhibit phase space properties invariant under update scheme changes. This study extends invariance to the entire phase space and analyzes transient path behavior in ABN dynamics.

More Related Videos

Tuning the Contractility and Deformation Modes of Active Actin-Based Assemblies In Vitro: From Two-Dimensional Active Networks to Liquid Crystal Drops
06:48

Tuning the Contractility and Deformation Modes of Active Actin-Based Assemblies In Vitro: From Two-Dimensional Active Networks to Liquid Crystal Drops

Published on: July 11, 2025

305
Translaminar Autonomous System Model for the Modulation of Intraocular and Intracranial Pressure in Human Donor Posterior Segments
08:55

Translaminar Autonomous System Model for the Modulation of Intraocular and Intracranial Pressure in Human Donor Posterior Segments

Published on: April 24, 2020

3.1K

Related Experiment Videos

Last Updated: Aug 8, 2025

Preparation of Liquid Crystal Networks for Macroscopic Oscillatory Motion Induced by Light
07:56

Preparation of Liquid Crystal Networks for Macroscopic Oscillatory Motion Induced by Light

Published on: September 20, 2017

11.7K
Tuning the Contractility and Deformation Modes of Active Actin-Based Assemblies In Vitro: From Two-Dimensional Active Networks to Liquid Crystal Drops
06:48

Tuning the Contractility and Deformation Modes of Active Actin-Based Assemblies In Vitro: From Two-Dimensional Active Networks to Liquid Crystal Drops

Published on: July 11, 2025

305
Translaminar Autonomous System Model for the Modulation of Intraocular and Intracranial Pressure in Human Donor Posterior Segments
08:55

Translaminar Autonomous System Model for the Modulation of Intraocular and Intracranial Pressure in Human Donor Posterior Segments

Published on: April 24, 2020

3.1K

Area of Science:

  • Computational Biology
  • Network Science
  • Dynamical Systems Theory

Background:

  • Boolean networks (BNs) are mathematical models for complex systems.
  • Asynchronous Boolean networks (ABNs) better represent real-world systems than synchronous BNs.
  • Understanding ABN dynamics is crucial for structure-to-function theory.

Purpose of the Study:

  • Investigate the sensitivity of ABN dynamics to asynchronous update schemes.
  • Extend previous findings on the invariance of periodic orbits to the entire phase space.
  • Analyze the behavior of transient paths and lengths within ABNs.

Main Methods:

  • Mathematical modeling using Boolean networks.
  • Analysis of asynchronous update schemes and their equivalence classes (toric equivalence).
  • Extension of existing theoretical results on periodic orbits to broader phase space properties.

Main Results:

  • Phase space properties of ABNs are structurally invariant under toric equivalence of update sequences.
  • A Lipschitz continuity result for maximal transient paths is established.
  • Maximal transient lengths within a toric equivalence class are limited to at most two values.

Conclusions:

  • The phase space of ABNs is robust to perturbations in the asynchronous update scheme.
  • These findings provide deeper insights into the structure-to-function relationship in ABNs.
  • The results contribute to a more comprehensive understanding of asynchronous dynamical systems.