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

376
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...
376
Fast Decoupled and DC Powerflow01:24

Fast Decoupled and DC Powerflow

793
The fast decoupled power flow method addresses contingencies in power system operations, such as generator outages or transmission line failures. This method provides quick power flow solutions, essential for real-time system adjustments. Fast decoupled power flow algorithms simplify the Jacobian matrix by neglecting certain elements, leading to two sets of decoupled equations:
793
Cyclic Processes And Isolated Systems01:19

Cyclic Processes And Isolated Systems

3.6K
A thermodynamic system with zero heat exchange and work is an isolated system. For these systems, the internal energy remains constant.
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state. 
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each...
3.6K
Multimachine Stability01:25

Multimachine Stability

600
Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
600
Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

714
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...
714
Classification of Systems-I01:26

Classification of Systems-I

647
Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
647

You might also read

Related Articles

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

Sort by
Same author

MONOMIALS AND BASIN CYLINDERS FOR NETWORK DYNAMICS.

SIAM journal on applied dynamical systems·2015
Same author

Sampling for conditional inference on case-control data.

Biometrics·2007
See all related articles

Related Experiment Video

Updated: Mar 8, 2026

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
06:44

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis

Published on: September 23, 2025

653

COMPUTATIONAL METHODS FOR ASYNCHRONOUS BASINS.

Ian H Dinwoodie

    Discrete and Continuous Dynamical Systems. Series B
    |February 4, 2017
    PubMed
    Summary

    This study introduces a new method to find exclusive asynchronous basins of attraction in Boolean networks. This approach aids in targeting specific network behaviors through interventions.

    Area of Science:

    • Systems Biology
    • Network Science
    • Computational Biology

    Background:

    • Boolean networks are used to model complex biological and sensor systems.
    • Understanding attractor dynamics is crucial for predicting system behavior.
    • Existing methods for analyzing basins of attraction can be computationally intensive.

    Purpose of the Study:

    • To define and compute the exclusive asynchronous basin of attraction for attractors in Boolean networks.
    • To develop an algorithm for calculating these basins using commutative algebra.
    • To demonstrate the application of this method for targeted network interventions.

    Main Methods:

    • Definition of the exclusive asynchronous basin of attraction for steady states and cyclic attractors.
    • Development of a novel algorithm leveraging commutative algebra for basin computation.
    Keywords:
    Boolean networkasynchronous updatebasin of attractionsensor networksignalling network

    More Related Videos

    Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
    11:51

    Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

    Published on: February 22, 2018

    9.2K
    An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
    11:03

    An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

    Published on: December 4, 2017

    9.1K

    Related Experiment Videos

    Last Updated: Mar 8, 2026

    Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
    06:44

    Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis

    Published on: September 23, 2025

    653
    Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
    11:51

    Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

    Published on: February 22, 2018

    9.2K
    An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
    11:03

    An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

    Published on: December 4, 2017

    9.1K
  • Application and validation of the algorithm on two distinct network models.

    • Main Results:

    • Successful computation of exclusive asynchronous basins for attractors in Boolean networks.
    • Demonstration of the algorithm's efficacy in identifying key network nodes for intervention.
    • Validation through case studies on a cell signaling network and a human mobility sensor network.

    Conclusions:

    • The developed commutative algebra-based algorithm provides an efficient method for computing exclusive asynchronous basins of attraction.
    • This approach offers a powerful tool for understanding and controlling the dynamics of complex networks.
    • The findings have implications for targeted interventions in biological systems and sensor networks.