IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v13y2022i1d10.1038_s41467-022-31263-x.html
   My bibliography  Save this article

Frequency spectra and the color of cellular noise

Author

Listed:
  • Ankit Gupta

    (ETH Zürich)

  • Mustafa Khammash

    (ETH Zürich)

Abstract

The invention of the Fourier integral in the 19th century laid the foundation for modern spectral analysis methods. This integral decomposes a temporal signal into its frequency components, providing deep insights into its generating process. While this idea has precipitated several scientific and technological advances, its impact has been fairly limited in cell biology, largely due to the difficulties in connecting the underlying noisy intracellular networks to the frequency content of observed single-cell trajectories. Here we develop a spectral theory and computational methodologies tailored specifically to the computation and analysis of frequency spectra of noisy intracellular networks. Specifically, we develop a method to compute the frequency spectrum for general nonlinear networks, and for linear networks we present a decomposition that expresses the frequency spectrum in terms of its sources. Several examples are presented to illustrate how our results provide frequency-based methods for the design and analysis of noisy intracellular networks.

Suggested Citation

  • Ankit Gupta & Mustafa Khammash, 2022. "Frequency spectra and the color of cellular noise," Nature Communications, Nature, vol. 13(1), pages 1-18, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-31263-x
    DOI: 10.1038/s41467-022-31263-x
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-022-31263-x
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1038/s41467-022-31263-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Sant Kumar & Marc Rullan & Mustafa Khammash, 2021. "Rapid prototyping and design of cybergenetic single-cell controllers," Nature Communications, Nature, vol. 12(1), pages 1-13, December.
    2. Dirk Benzinger & Mustafa Khammash, 2018. "Pulsatile inputs achieve tunable attenuation of gene expression variability and graded multi-gene regulation," Nature Communications, Nature, vol. 9(1), pages 1-10, December.
    3. Zhixing Cao & Ramon Grima, 2018. "Linear mapping approximation of gene regulatory networks with stochastic dynamics," Nature Communications, Nature, vol. 9(1), pages 1-15, December.
    4. Laurent Potvin-Trottier & Nathan D. Lord & Glenn Vinnicombe & Johan Paulsson, 2016. "Synchronous long-term oscillations in a synthetic gene circuit," Nature, Nature, vol. 538(7626), pages 514-517, October.
    5. Hsin-Ho Huang & Yili Qian & Domitilla Del Vecchio, 2018. "A quasi-integral controller for adaptation of genetic modules to variable ribosome demand," Nature Communications, Nature, vol. 9(1), pages 1-12, December.
    6. Stephanie K. Aoki & Gabriele Lillacci & Ankit Gupta & Armin Baumschlager & David Schweingruber & Mustafa Khammash, 2019. "A universal biomolecular integral feedback controller for robust perfect adaptation," Nature, Nature, vol. 570(7762), pages 533-537, June.
    7. Kurtz, Thomas G., 1978. "Strong approximation theorems for density dependent Markov chains," Stochastic Processes and their Applications, Elsevier, vol. 6(3), pages 223-240, February.
    8. Ankit Gupta & Corentin Briat & Mustafa Khammash, 2014. "A Scalable Computational Framework for Establishing Long-Term Behavior of Stochastic Reaction Networks," PLOS Computational Biology, Public Library of Science, vol. 10(6), pages 1-16, June.
    9. Matthias Kaiser & Florian Jug & Thomas Julou & Siddharth Deshpande & Thomas Pfohl & Olin K. Silander & Gene Myers & Erik van Nimwegen, 2018. "Monitoring single-cell gene regulation under dynamically controllable conditions with integrated microfluidics and software," Nature Communications, Nature, vol. 9(1), pages 1-16, December.
    10. Christopher V. Rao & Denise M. Wolf & Adam P. Arkin, 2002. "Control, exploitation and tolerance of intracellular noise," Nature, Nature, vol. 420(6912), pages 231-237, November.
    11. Michael B. Elowitz & Stanislas Leibler, 2000. "A synthetic oscillatory network of transcriptional regulators," Nature, Nature, vol. 403(6767), pages 335-338, January.
    12. Thomas M. Norman & Nathan D. Lord & Johan Paulsson & Richard Losick, 2013. "Memory and modularity in cell-fate decision making," Nature, Nature, vol. 503(7477), pages 481-486, November.
    13. Deepak K. Agrawal & Ryan Marshall & Vincent Noireaux & Eduardo D Sontag, 2019. "In vitro implementation of robust gene regulation in a synthetic biomolecular integral controller," Nature Communications, Nature, vol. 10(1), pages 1-12, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Maurice Filo & Sant Kumar & Mustafa Khammash, 2022. "A hierarchy of biomolecular proportional-integral-derivative feedback controllers for robust perfect adaptation and dynamic performance," Nature Communications, Nature, vol. 13(1), pages 1-19, December.
    2. Stanislav Anastassov & Maurice Filo & Ching-Hsiang Chang & Mustafa Khammash, 2023. "A cybergenetic framework for engineering intein-mediated integral feedback control systems," Nature Communications, Nature, vol. 14(1), pages 1-16, December.
    3. Lukas Aufinger & Johann Brenner & Friedrich C. Simmel, 2022. "Complex dynamics in a synchronized cell-free genetic clock," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    4. Lucas Henrion & Juan Andres Martinez & Vincent Vandenbroucke & Mathéo Delvenne & Samuel Telek & Andrew Zicler & Alexander Grünberger & Frank Delvigne, 2023. "Fitness cost associated with cell phenotypic switching drives population diversification dynamics and controllability," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    5. Ankit Gupta & Corentin Briat & Mustafa Khammash, 2014. "A Scalable Computational Framework for Establishing Long-Term Behavior of Stochastic Reaction Networks," PLOS Computational Biology, Public Library of Science, vol. 10(6), pages 1-16, June.
    6. Duncan Ingram & Guy-Bart Stan, 2023. "Modelling genetic stability in engineered cell populations," Nature Communications, Nature, vol. 14(1), pages 1-12, December.
    7. Das, Saureesh, 2022. "Recurrence quantification and bifurcation analysis of electrical activity in resistive/memristive synapse coupled Fitzhugh–Nagumo type neurons," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    8. Lucia Marucci & David A W Barton & Irene Cantone & Maria Aurelia Ricci & Maria Pia Cosma & Stefania Santini & Diego di Bernardo & Mario di Bernardo, 2009. "How to Turn a Genetic Circuit into a Synthetic Tunable Oscillator, or a Bistable Switch," PLOS ONE, Public Library of Science, vol. 4(12), pages 1-10, December.
    9. Vojislav Gligorovski & Ahmad Sadeghi & Sahand Jamal Rahi, 2023. "Multidimensional characterization of inducible promoters and a highly light-sensitive LOV-transcription factor," Nature Communications, Nature, vol. 14(1), pages 1-18, December.
    10. Chelsea Y. Hu & Richard M. Murray, 2022. "Layered feedback control overcomes performance trade-off in synthetic biomolecular networks," Nature Communications, Nature, vol. 13(1), pages 1-13, December.
    11. Luna Rizik & Loai Danial & Mouna Habib & Ron Weiss & Ramez Daniel, 2022. "Synthetic neuromorphic computing in living cells," Nature Communications, Nature, vol. 13(1), pages 1-17, December.
    12. Jin Wang & Bo Huang & Xuefeng Xia & Zhirong Sun, 2006. "Funneled Landscape Leads to Robustness of Cell Networks: Yeast Cell Cycle," PLOS Computational Biology, Public Library of Science, vol. 2(11), pages 1-10, November.
    13. Achal Bassamboo & J. Michael Harrison & Assaf Zeevi, 2006. "Design and Control of a Large Call Center: Asymptotic Analysis of an LP-Based Method," Operations Research, INFORMS, vol. 54(3), pages 419-435, June.
    14. Davide Crapis & Bar Ifrach & Costis Maglaras & Marco Scarsini, 2017. "Monopoly Pricing in the Presence of Social Learning," Management Science, INFORMS, vol. 63(11), pages 3586-3608, November.
    15. Junjie Luo & Jun Wang & Ting Martin Ma & Zhirong Sun, 2010. "Reverse Engineering of Bacterial Chemotaxis Pathway via Frequency Domain Analysis," PLOS ONE, Public Library of Science, vol. 5(3), pages 1-8, March.
    16. Avraham E Mayo & Yaakov Setty & Seagull Shavit & Alon Zaslaver & Uri Alon, 2006. "Plasticity of the cis-Regulatory Input Function of a Gene," PLOS Biology, Public Library of Science, vol. 4(4), pages 1-1, March.
    17. Bottani, Samuel & Grammaticos, Basile, 2008. "A simple model of genetic oscillations through regulated degradation," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1468-1482.
    18. Ephraim M. Hanks, 2017. "Modeling Spatial Covariance Using the Limiting Distribution of Spatio-Temporal Random Walks," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(518), pages 497-507, April.
    19. Gita Naseri, 2023. "A roadmap to establish a comprehensive platform for sustainable manufacturing of natural products in yeast," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    20. Margherita Carletti & Malay Banerjee, 2019. "A Backward Technique for Demographic Noise in Biological Ordinary Differential Equation Models," Mathematics, MDPI, vol. 7(12), pages 1-16, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-31263-x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.nature.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.