Noise suppression in stochastic genetic circuits using PID controllers.

Inside individual cells, protein population counts are subject to molecular noise due to low copy numbers and the inherent probabilistic nature of biochemical processes. We investigate the effectiveness of proportional, integral and derivative (PID) based feedback controllers to suppress protein cou...

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Autores principales: Saurabh Modi, Supravat Dey, Abhyudai Singh
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Lenguaje:EN
Publicado: Public Library of Science (PLoS) 2021
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Acceso en línea:https://doaj.org/article/65edbdce4e924cdd8b76372eac940b19
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spelling oai:doaj.org-article:65edbdce4e924cdd8b76372eac940b192021-12-02T19:57:21ZNoise suppression in stochastic genetic circuits using PID controllers.1553-734X1553-735810.1371/journal.pcbi.1009249https://doaj.org/article/65edbdce4e924cdd8b76372eac940b192021-07-01T00:00:00Zhttps://doi.org/10.1371/journal.pcbi.1009249https://doaj.org/toc/1553-734Xhttps://doaj.org/toc/1553-7358Inside individual cells, protein population counts are subject to molecular noise due to low copy numbers and the inherent probabilistic nature of biochemical processes. We investigate the effectiveness of proportional, integral and derivative (PID) based feedback controllers to suppress protein count fluctuations originating from two noise sources: bursty expression of the protein, and external disturbance in protein synthesis. Designs of biochemical reactions that function as PID controllers are discussed, with particular focus on individual controllers separately, and the corresponding closed-loop system is analyzed for stochastic controller realizations. Our results show that proportional controllers are effective in buffering protein copy number fluctuations from both noise sources, but this noise suppression comes at the cost of reduced static sensitivity of the output to the input signal. In contrast, integral feedback has no effect on the protein noise level from stochastic expression, but significantly minimizes the impact of external disturbances, particularly when the disturbance comes at low frequencies. Counter-intuitively, integral feedback is found to amplify external disturbances at intermediate frequencies. Next, we discuss the design of a coupled feedforward-feedback biochemical circuit that approximately functions as a derivate controller. Analysis using both analytical methods and Monte Carlo simulations reveals that this derivative controller effectively buffers output fluctuations from bursty stochastic expression, while maintaining the static input-output sensitivity of the open-loop system. In summary, this study provides a systematic stochastic analysis of biochemical controllers, and paves the way for their synthetic design and implementation to minimize deleterious fluctuations in gene product levels.Saurabh ModiSupravat DeyAbhyudai SinghPublic Library of Science (PLoS)articleBiology (General)QH301-705.5ENPLoS Computational Biology, Vol 17, Iss 7, p e1009249 (2021)
institution DOAJ
collection DOAJ
language EN
topic Biology (General)
QH301-705.5
spellingShingle Biology (General)
QH301-705.5
Saurabh Modi
Supravat Dey
Abhyudai Singh
Noise suppression in stochastic genetic circuits using PID controllers.
description Inside individual cells, protein population counts are subject to molecular noise due to low copy numbers and the inherent probabilistic nature of biochemical processes. We investigate the effectiveness of proportional, integral and derivative (PID) based feedback controllers to suppress protein count fluctuations originating from two noise sources: bursty expression of the protein, and external disturbance in protein synthesis. Designs of biochemical reactions that function as PID controllers are discussed, with particular focus on individual controllers separately, and the corresponding closed-loop system is analyzed for stochastic controller realizations. Our results show that proportional controllers are effective in buffering protein copy number fluctuations from both noise sources, but this noise suppression comes at the cost of reduced static sensitivity of the output to the input signal. In contrast, integral feedback has no effect on the protein noise level from stochastic expression, but significantly minimizes the impact of external disturbances, particularly when the disturbance comes at low frequencies. Counter-intuitively, integral feedback is found to amplify external disturbances at intermediate frequencies. Next, we discuss the design of a coupled feedforward-feedback biochemical circuit that approximately functions as a derivate controller. Analysis using both analytical methods and Monte Carlo simulations reveals that this derivative controller effectively buffers output fluctuations from bursty stochastic expression, while maintaining the static input-output sensitivity of the open-loop system. In summary, this study provides a systematic stochastic analysis of biochemical controllers, and paves the way for their synthetic design and implementation to minimize deleterious fluctuations in gene product levels.
format article
author Saurabh Modi
Supravat Dey
Abhyudai Singh
author_facet Saurabh Modi
Supravat Dey
Abhyudai Singh
author_sort Saurabh Modi
title Noise suppression in stochastic genetic circuits using PID controllers.
title_short Noise suppression in stochastic genetic circuits using PID controllers.
title_full Noise suppression in stochastic genetic circuits using PID controllers.
title_fullStr Noise suppression in stochastic genetic circuits using PID controllers.
title_full_unstemmed Noise suppression in stochastic genetic circuits using PID controllers.
title_sort noise suppression in stochastic genetic circuits using pid controllers.
publisher Public Library of Science (PLoS)
publishDate 2021
url https://doaj.org/article/65edbdce4e924cdd8b76372eac940b19
work_keys_str_mv AT saurabhmodi noisesuppressioninstochasticgeneticcircuitsusingpidcontrollers
AT supravatdey noisesuppressioninstochasticgeneticcircuitsusingpidcontrollers
AT abhyudaisingh noisesuppressioninstochasticgeneticcircuitsusingpidcontrollers
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