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Noise Control In Gene Regulatory Networks With Negative Feedback

Michael Hinczewski, D. Thirumalai
doi: https://doi.org/10.1101/049502
Michael Hinczewski
†Department of Physics, Case Western Reserve University, OH 44106
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  • For correspondence: mxh605@case.edu dave.thirumalai@gmail.com
D. Thirumalai
‡Department of Chemistry, The University of Texas at Austin, TX 78712
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  • For correspondence: mxh605@case.edu dave.thirumalai@gmail.com
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Abstract

Genes and proteins regulate cellular functions through complex circuits of biochemical reactions. Fluctuations in the components of these regulatory networks result in noise that invariably corrupts the signal, possibly compromising function. Here, we create a practical formalism based on ideas introduced by Wiener and Kolmogorov (WK) for filtering noise in engineered communications systems to quantitatively assess the extent to which noise can be controlled in biological processes involving negative feedback. Application of the theory, which reproduces the previously proven scaling of the lower bound for noise suppression in terms of the number of signaling events, shows that a tetracycline repressor-based negative-regulatory gene circuit behaves as a WK filter. For the class of Hill-like nonlinear regulatory functions, this type of filter provides the optimal reduction in noise. Our theoretical approach can be readily combined with experimental measurements of response functions in a wide variety of genetic circuits, to elucidate the general principles by which biological networks minimize noise.

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The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY 4.0 International license.
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Posted April 20, 2016.
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Noise Control In Gene Regulatory Networks With Negative Feedback
Michael Hinczewski, D. Thirumalai
bioRxiv 049502; doi: https://doi.org/10.1101/049502
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Noise Control In Gene Regulatory Networks With Negative Feedback
Michael Hinczewski, D. Thirumalai
bioRxiv 049502; doi: https://doi.org/10.1101/049502

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