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A critical quantity for noise attenuation in feedback systems.

Liming Wang¹, Jack Xin, Qing Nie

¹Center for Mathematical and Computational Biology, Center for Complex Biological Systems, and Department of Mathematics, University of California at Irvine, Irvine, California, United States of America.

Plos Computational Biology

|May 6, 2010

Summary

Biological feedback systems can achieve faithful output despite noisy inputs. A critical factor, "signed activation time," reveals that fast activation and slow deactivation best attenuate noise, often found in single positive feedback loops.

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Area of Science:

Systems Biology
Biophysics
Biochemical Engineering

Background:

Biological regulatory modules utilize feedback loops ubiquitously.
Input disturbances can cause output fluctuations in feedback systems.
Faithful response generation from noisy inputs is a key challenge.

Purpose of the Study:

To investigate noise attenuation mechanisms in biological feedback systems.
To identify critical parameters governing response fidelity under noisy conditions.
To analyze the role of positive and negative feedback loops in noise reduction.

Main Methods:

Multiple time scale analysis
Fluctuation Dissipation Theorem
Linear stability analysis
Numerical simulations

Main Results:

A critical quantity, "signed activation time," was identified for noise attenuation.
An inverse relationship exists between noise amplification rate and signed activation time.
Fast activation and slow deactivation yield optimal noise attenuation, achievable in single positive feedback loops.

Conclusions:

The combination of fast activation and slow deactivation is crucial for effective noise attenuation.
Positive feedback loops can enhance noise attenuation by reducing activation time.
Negative feedback loops may increase activation and deactivation times, impacting noise attenuation.