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Related Concept Videos

Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
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Related Experiment Video

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Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
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Coding of information in limit cycle oscillators.

Jan-Hendrik Schleimer1, Martin Stemmler

  • 1Bernstein Center for Computational Neuroscience, 10115 Berlin, Germany. jan-hendrik.schleimer@bccn-berlin.de

Physical Review Letters
|April 7, 2010
PubMed
Summary
This summary is machine-generated.

This study reveals how noisy limit cycle oscillators, like heart cells and neurons, encode external information. We found a direct link between oscillator dynamics and information encoding in peak timing.

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Area of Science:

  • Nonlinear dynamics
  • Computational neuroscience
  • Information theory

Background:

  • Noisy limit cycle oscillators are fundamental in biological systems.
  • Understanding how these oscillators respond to external stimuli is crucial.
  • Previous models often simplified the complex dynamics of biological oscillators.

Purpose of the Study:

  • To derive the linear response of oscillator frequency to external forces.
  • To quantify information encoding in oscillator phase dynamics.
  • To link oscillator properties to their information processing capabilities.

Main Methods:

  • Fokker-Planck equations were used to model oscillator dynamics.
  • Analysis of the time series of zero crossings of the oscillator's phase.
  • Mutual information was computed between the driving force and phase crossings.

Main Results:

  • The linear response of instantaneous frequency to external forces was derived.
  • A direct link was established between the phase response curve and information encoding.
  • The study quantifies the information encoded in the timing of oscillator peaks.

Conclusions:

  • The phase response curve is a key determinant of information encoding in limit cycle oscillators.
  • This framework applies to biological systems like neurons and heart cells.
  • Provides a quantitative method to assess information processing in oscillatory systems.