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

Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

552
Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass...
552
Phase I Reactions: Reductive Reactions01:27

Phase I Reactions: Reductive Reactions

597
Phase I biotransformation reductive reactions are chemical processes that modify drugs by introducing or revealing polar functional groups via reduction. Enzymes called reductases catalyze these reactions, playing a pivotal role in drug metabolism by transforming lipophilic drugs into more polar, water-soluble metabolites for easy excretion. An essential type of reductive reaction is the carbonyl group reduction, where aldehydes and ketones are reduced to alcohols. An example is the...
597
Phase Diagrams02:39

Phase Diagrams

50.3K
A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...
50.3K
Phase Transitions02:31

Phase Transitions

23.2K
Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
23.2K
Inductance: Single-Phase And Three-Phase Line01:28

Inductance: Single-Phase And Three-Phase Line

633
Understanding the inductance of transmission lines is crucial for efficient design and operation in electrical power systems. This discussion delves into the inductance characteristics of single-phase two-wire and three-phase three-wire transmission lines with equal phase spacing.
Single-Phase Two-Wire Line:
A single-phase line consists of two solid cylindrical conductors, denoted as x and y. Each conductor carries phasor currents ix and iy, respectively. Given that the sum of these currents is...
633
Capacitance: Single-Phase And Three-Phase Line01:25

Capacitance: Single-Phase And Three-Phase Line

611
In electrical power systems, understanding the capacitance of transmission lines is fundamental for efficient operation.
Single-Phase Lines
Consider a single-phase, two-wire transmission line with equal phase spacing energized by a voltage source. One conductor carries a uniform positive charge, while the other carries an equal negative charge. The capacitance C of the line can be derived from the voltage V between the conductors. For a one-meter section of the line, the capacitance is given...
611

You might also read

Related Articles

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

Sort by
Same author

The influence of synaptic plasticity on critical coupling estimates for neural populations.

Journal of mathematical biology·2024
Same author

Symbolic regression via neural networks.

Chaos (Woodbury, N.Y.)·2023
Same author

Leveraging deep learning to control neural oscillators.

Biological cybernetics·2021
Same author

Analysis of neural clusters due to deep brain stimulation pulses.

Biological cybernetics·2020
Same author

Optimal open-loop desynchronization of neural oscillator populations.

Journal of mathematical biology·2020
Same author

Stabilization of Weakly Unstable Fixed Points as a Common Dynamical Mechanism of High-Frequency Electrical Stimulation.

Scientific reports·2020
Same journal

Harmonic memory in phasor neural networks.

Biological cybernetics·2026
Same journal

Correction: Decreased spinal inhibition leads to undiversified locomotor patterns.

Biological cybernetics·2026
Same journal

Foundational issues of network models in biology.

Biological cybernetics·2026
Same journal

Dynamical mechanisms for coordinating long-term working memory based on the precision of spike-timing in cortical neurons.

Biological cybernetics·2026
Same journal

Distinct dopaminergic spike-timing-dependent plasticity rules are suited to different functional roles.

Biological cybernetics·2026
Same journal

Fluctuation-response relations for a two-stage population of spiking neurons stimulated by common noise.

Biological cybernetics·2026
See all related articles

Related Experiment Video

Updated: Feb 5, 2026

Cell Co-culture Patterning Using Aqueous Two-phase Systems
10:11

Cell Co-culture Patterning Using Aqueous Two-phase Systems

Published on: March 26, 2013

19.4K

Phase reduction and phase-based optimal control for biological systems: a tutorial.

Bharat Monga1, Dan Wilson2, Tim Matchen1

  • 1Department of Mechanical Engineering, University of California, Santa Barbara, CA, 93106, USA.

Biological Cybernetics
|September 12, 2018
PubMed
Summary
This summary is machine-generated.

This study unifies phase reduction techniques for analyzing nonlinear oscillators and designing control algorithms. It demonstrates applications in mathematical and biological systems, including neural and cardiac networks.

Keywords:
Control of biological systemsNonlinear oscillatorsOptimal controlPhase reduction

More Related Videos

The Use of Chemostats in Microbial Systems Biology
13:19

The Use of Chemostats in Microbial Systems Biology

Published on: October 14, 2013

31.8K
Synthesis and Purification of Iodoaziridines Involving Quantitative Selection of the Optimal Stationary Phase for Chromatography
10:14

Synthesis and Purification of Iodoaziridines Involving Quantitative Selection of the Optimal Stationary Phase for Chromatography

Published on: May 16, 2014

13.1K

Related Experiment Videos

Last Updated: Feb 5, 2026

Cell Co-culture Patterning Using Aqueous Two-phase Systems
10:11

Cell Co-culture Patterning Using Aqueous Two-phase Systems

Published on: March 26, 2013

19.4K
The Use of Chemostats in Microbial Systems Biology
13:19

The Use of Chemostats in Microbial Systems Biology

Published on: October 14, 2013

31.8K
Synthesis and Purification of Iodoaziridines Involving Quantitative Selection of the Optimal Stationary Phase for Chromatography
10:14

Synthesis and Purification of Iodoaziridines Involving Quantitative Selection of the Optimal Stationary Phase for Chromatography

Published on: May 16, 2014

13.1K

Area of Science:

  • Dynamical Systems Theory
  • Nonlinear Dynamics
  • Computational Neuroscience
  • Systems Biology

Background:

  • Nonlinear oscillators are prevalent in various scientific fields.
  • Traditional analysis of nonlinear oscillators can be complex.
  • Phase reduction simplifies oscillator analysis by focusing on phase dynamics.

Purpose of the Study:

  • To provide a unified treatment of phase reduction techniques.
  • To extend phase reduction to systems with stable fixed points and periodic orbits.
  • To demonstrate the application of phase reduction in designing control algorithms.

Main Methods:

  • Rigorous reduction of nonlinear oscillators to phase models.
  • Extension of phase reduction to incorporate transverse directions and higher-order terms.
  • Development and illustration of control algorithms based on phase reduction.

Main Results:

  • A unified framework for phase reduction techniques is presented.
  • Phase reduction is successfully applied to systems with stable fixed points and periodic orbits.
  • Control algorithms for modifying oscillator properties, like phase, are demonstrated.

Conclusions:

  • Phase reduction is a powerful and versatile technique for analyzing nonlinear systems.
  • The presented methods offer a unified approach to phase reduction and control.
  • Applications in neural and cardiac systems highlight the practical utility of these techniques.