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Related Concept Videos

Root Loci for Positive-Feedback Systems01:23

Root Loci for Positive-Feedback Systems

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The Hartley oscillator is a positive feedback system that sustains oscillations by feeding the output back to the input in phase, thereby reinforcing the signal. Positive feedback systems can be viewed as negative feedback systems with inverted feedback signals. In these systems, the root locus encompasses all points on the s-plane where the angle of the system transfer function equals 360 degrees.
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Feedback in control systems plays a critical role in shaping various operational parameters, extending beyond simple error reduction to influence stability, bandwidth, gain, impedance, and sensitivity. Understanding these effects requires examining a basic feedback system characterized by defined input, output, error, and feedback signals.
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In most cases, excessive hormone production is prevented by negative feedback—a loop that starts with a stimulus inducing the release of a particular substance, like a hormone, to maintain a certain level before triggering a signal that results in a decrease in further release of the hormone.
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Optogenetic Entrainment of Hippocampal Theta Oscillations in Behaving Mice
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Positive feedback promotes oscillations in negative feedback loops.

Bharath Ananthasubramaniam1, Hanspeter Herzel1

  • 1Institute for Theoretical Biology, Charité and Humboldt-Universität zu Berlin, Berlin, Germany.

Plos One
|August 16, 2014
PubMed
Summary

Positive feedback loops enhance biochemical oscillations by enabling them at lower cooperativity levels. These interactions, crucial for biological systems like the molecular clock, promote oscillations with longer periods and reduced nonlinearity requirements.

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Area of Science:

  • Biochemistry
  • Systems Biology
  • Molecular Biology

Background:

  • Biochemical oscillators often utilize a three-component negative feedback loop.
  • This motif requires high cooperativity (nonlinearity) for oscillation, which is biologically improbable.
  • Negative feedback loops are frequently augmented by positive feedback interactions in biological systems.

Purpose of the Study:

  • To investigate how positive feedback interactions influence the oscillation dynamics of biochemical systems.
  • To determine if positive feedback can reduce the cooperativity required for oscillation.
  • To unify common kinetic mechanisms that facilitate oscillations under a single framework.

Main Methods:

  • Theoretical analysis of a three-component feedback loop model.
  • Mathematical modeling to assess the impact of positive feedback on oscillation parameters.
  • Comparison of oscillation requirements with and without positive feedback interactions.

Main Results:

  • Positive feedback interactions significantly lower the cooperativity needed for oscillations.
  • These interactions unify mechanisms like self-activation and Michaelis-Menten degradation.
  • Positive feedback is most effective on short-lived components, balancing component lifetimes and enabling longer oscillation periods.

Conclusions:

  • Positive feedback loops are essential for facilitating biologically achievable oscillations in biochemical systems.
  • These loops likely evolved to enable oscillations at lower, kinetically feasible cooperativity levels.
  • Findings have implications for understanding biological clocks, such as the mammalian molecular clock.