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Second-order Op Amp Circuits01:19

Second-order Op Amp Circuits

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Implementing second-order low-pass filters in audio systems is crucial in refining audio signals by eliminating undesirable high-frequency noise. These filters typically involve second-order op-amp circuits configured as voltage followers, encompassing two nodes with distinct storage elements.
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Molecular circuits for dynamic noise filtering.

Christoph Zechner1, Georg Seelig2, Marc Rullan1

  • 1Department of Biosystems Science and Engineering, ETH Zürich, 4058 Basel, Switzerland;

Proceedings of the National Academy of Sciences of the United States of America
|April 15, 2016
PubMed
Summary
This summary is machine-generated.

We developed a novel optimal filtering theory for noisy biochemical networks, inspired by the Kalman filter. This approach enables reliable synthetic biology circuits by effectively managing noise in biological systems.

Keywords:
adaptive designnoise cancellationoptimal filteringsynthetic circuits

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Area of Science:

  • Biochemistry
  • Systems Biology
  • Engineering

Background:

  • The Kalman filter revolutionized technology by effectively managing noise in various applications.
  • Synthetic biology faces significant challenges with noise and context dependency, hindering the development of reliable and scalable circuits.
  • A principled noise-handling protocol, akin to the Kalman filter, is currently lacking in synthetic biology.

Purpose of the Study:

  • To develop an optimal filtering theory tailored for noisy biochemical networks.
  • To enable the implementation of molecular-level filters for synthetic biology applications.
  • To address key challenges in synthetic biology, namely noise and context dependency.

Main Methods:

  • Developed a novel optimal filtering theory for biochemical networks.
  • Simulated filter applications in estimation, system identification, and noise cancellation.
  • Implemented and demonstrated the approach in vitro using DNA strand displacement cascades.
  • Validated the approach in vivo using flow cytometry of a light-inducible circuit in Escherichia coli.

Main Results:

  • The developed filtering theory is suitable for noisy biochemical networks.
  • Simulations demonstrated successful estimation, system identification, and noise cancellation.
  • In vitro and in vivo experiments confirmed the practical applicability of the filtering approach.
  • The method provides a principled protocol for dealing with noise in synthetic biology.

Conclusions:

  • The developed optimal filtering theory provides a missing framework for managing noise in synthetic biology.
  • Molecular-level filter implementation is feasible, paving the way for more reliable synthetic circuits.
  • This work offers a significant advancement for the emerging field of synthetic biology.