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Physical limits of feedback noise-suppression in biological networks

Jiajun Zhang, Zhanjiang Yuan and Tianshou Zhou

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Feedback is a ubiquitous control mechanism of biological networks, and has also been identified in a variety of regulatory systems and organisms. It has been shown that, for a given gain and with negligible intrinsic noise, negative feedback impairs noise buffering whereas positive feedback enhances noise buffering. We further investigate the influence of negative and positive feedback on noise in output signals by considering both intrinsic and extrinsic noise as well as operator noise. We find that, while maintaining the system sensitivity, either there exists a minimum of the output noise intensity corresponding to a biologically feasible feedback strength, or the output noise intensity is a monotonic function of feedback strength bounded by both biological and dynamical constraints. In both cases, feedback noise-suppression is physically limited. In other words, noise suppressed by negative or positive feedback cannot be reduced without limitation even in the case of slow transcription.


PACS

87.16.Yc Regulatory genetic and chemical networks

87.15.R- Reactions and kinetics

87.17.-d Cell processes

87.15.B- Structure of biomolecules

Subjects

Biological physics

Dates

Issue 4 (December 2009)

Received 22 January 2009, accepted for publication 24 September 2009

Published 20 October 2009

 
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