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

Noncompartmental Analysis: Mean Residence Time01:05

Noncompartmental Analysis: Mean Residence Time

602
According to statistical moment theory, mean residence time (MRT) is an important measure in pharmacokinetics. MRT can be defined as the expected mean of a probability density function distribution. It provides valuable insights into drug disposition in the body.
After the administration of a drug through intravenous bolus injection, the drug molecules are distributed throughout the body and remain there for varying periods. The MRT represents the average time these drug molecules stay in the...
602
Noncompartmental Analysis: Mean Transit, Absorption and Dissolution Time01:02

Noncompartmental Analysis: Mean Transit, Absorption and Dissolution Time

384
When drugs are administered extravascularly, a comprehensive evaluation through noncompartmental analysis becomes imperative. This analytical approach considers various parameters that play a crucial role in understanding the pharmacokinetics of these drugs.
One of the key parameters is the mean transit time (MTT), which refers to the total duration required for drug molecules to transit through the body. MTT is determined by calculating the ratio of the area under the moment curve to the area...
384
Mean free path and Mean free time01:22

Mean free path and Mean free time

5.1K
Consider the gas molecules in a cylinder. They move in a random motion as they collide with each other and change speed and direction. The average of all the path lengths between collisions is known as the "mean free path."
5.1K
Mixing Time01:19

Mixing Time

481
The concept of mixing time is significant in producing a uniform concrete mix with the required strength. The mixing period starts once all components are in the mixer. Initially, the mixer is charged with 10% of the water, followed by the consistent addition of solids and then 80% of the water. The remaining water is added later, within the first quarter of the mixing period. The minimum mixing time varies according to the mixer's capacity; for example, mixers with up to 1 cubic yard...
481
Generation Time01:22

Generation Time

1.5K
Bacterial generation time, the period required for a bacterial population to double during its exponential growth phase, serves as a critical measure of microbial growth dynamics under optimal conditions. This parameter varies significantly across bacterial species and can be influenced by factors such as temperature, pH, and the availability of nutrients. For example, Escherichia coli can achieve a generation time of approximately 20 minutes, while Mycobacterium tuberculosis exhibits a much...
1.5K
Time Course of Drug Effect01:14

Time Course of Drug Effect

2.7K
The progression of a drug's impact can be analyzed by examining both the concentration-time course and the effect-time course. The concentration-time course is determined by the drug's half-life and is influenced by factors such as its pharmacokinetics, including absorption, distribution, metabolism, and elimination. The effect of the drug is often related to its concentration in the plasma and is calculated using the maximum drug effect and the plasma concentration that generates 50...
2.7K

You might also read

Related Articles

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

Sort by
Same author

Laplacian spectrum constrains collective performance enhancement.

Physical review. E·2026
Same author

Coexistence of many positive invariant sets in several classes of dynamical systems.

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

Fuzzy reinforcement learning synchronization of stochastic dynamic networks: An adaptive event-triggered strategy.

Neural networks : the official journal of the International Neural Network Society·2026
Same author

Event-triggered pinning synchronization of stochastic complex networks under hybrid attacks.

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

Bipartite Containment of Second-Order Multiagent Systems With Compound Noise Under Fixed or Markovian Switching Signed Topology.

IEEE transactions on cybernetics·2026
Same author

Networked collective dynamics in animal ecology and cell biology.

Physics of life reviews·2026

Related Experiment Video

Updated: Feb 3, 2026

Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads
07:58

Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads

Published on: July 25, 2025

822

Edge-Based Finite-Time Protocol Analysis With Final Consensus Value and Settling Time Estimations.

Yu Zhao, Yongfang Liu, Guanghui Wen

    IEEE Transactions on Cybernetics
    |October 19, 2018
    PubMed
    Summary

    New protocols achieve finite-time consensus for multiagent systems, calculating a precise average consensus value and estimating settling time. This research advances control theory for nonlinear systems and spacecraft formation control.

    More Related Videos

    A Magnetic Resonance Imaging Protocol for Stroke Onset Time Estimation in Permanent Cerebral Ischemia
    09:59

    A Magnetic Resonance Imaging Protocol for Stroke Onset Time Estimation in Permanent Cerebral Ischemia

    Published on: September 16, 2017

    14.6K
    Specimen Preparation, Imaging, and Analysis Protocols for Knife-edge Scanning Microscopy
    10:25

    Specimen Preparation, Imaging, and Analysis Protocols for Knife-edge Scanning Microscopy

    Published on: December 9, 2011

    18.2K

    Related Experiment Videos

    Last Updated: Feb 3, 2026

    Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads
    07:58

    Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads

    Published on: July 25, 2025

    822
    A Magnetic Resonance Imaging Protocol for Stroke Onset Time Estimation in Permanent Cerebral Ischemia
    09:59

    A Magnetic Resonance Imaging Protocol for Stroke Onset Time Estimation in Permanent Cerebral Ischemia

    Published on: September 16, 2017

    14.6K
    Specimen Preparation, Imaging, and Analysis Protocols for Knife-edge Scanning Microscopy
    10:25

    Specimen Preparation, Imaging, and Analysis Protocols for Knife-edge Scanning Microscopy

    Published on: December 9, 2011

    18.2K

    Area of Science:

    • Control Theory
    • Robotics
    • Systems Engineering

    Background:

    • Multiagent systems require coordinated behavior for complex tasks.
    • Achieving consensus in finite time is crucial for real-time applications.
    • Nonlinear dynamics in agents pose significant control challenges.

    Purpose of the Study:

    • To design novel edge-based protocols for finite-time consensus in multiagent systems.
    • To determine a final consensus value and estimate settling time for nonlinear agents.
    • To apply the developed protocols to a spacecraft formation control problem.

    Main Methods:

    • Development of two new edge-based control protocols for second-order nonlinear agents.
    • Utilizing bounded and Lipschitz-type nonlinear functions for agent dynamics.
    • Construction of a specialized Lyapunov function to estimate settling time.
    • Derivation of the final consensus value as an average expression.

    Main Results:

    • Successfully designed protocols that ensure finite-time consensus.
    • Achieved a clear expression for the final consensus value (average).
    • Provided accurate estimations for the finite settling time using the Lyapunov function.
    • Demonstrated the efficacy of the first protocol in a mini-spacecraft formation control simulation.

    Conclusions:

    • The proposed protocols effectively achieve finite-time consensus for multiagent systems with nonlinear dynamics.
    • The method provides a unified approach to determine both consensus value and settling time.
    • The application to mini-spacecraft formation control validates the practical utility of the developed protocols.