IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v572y2021ics0378437121001412.html
   My bibliography  Save this article

Interplay of cellular states: Role of delay as control mechanism

Author

Listed:
  • Singh, Shakti Nath
  • Chanu, Athokpam Langlen
  • Malik, Md. Zubbair
  • Singh, R.K. Brojen

Abstract

Delay is ubiquitous, no matter how small or big it is. Experimental evidences show the existence and importance of time delayed reactions specially in biological systems. We studied the interplay of delay and noise in some biological models, analytically and computationally. The analytically solved P(x,t) of gene regulation process shows universal class of Poisson process at large initial population and large x. Fano factor which measures noise in the system is found to be delay dependent. Analytical results give the possibility of noise-induced control of the system dynamics driven by delay. From analytical results, time delay creates possible conditions to the system to trigger various mechanisms such as correlated activity, coherence, etc. This indicates the interplay of delay and noise in regulating and controlling the system. To see this, we simulated some biological systems (gene regulation, circadian rhythm, repressilator, brusselator) using delay stochastic simulation algorithm. Simulation results show various mechanisms such as delay-induced onset of oscillating states (which could be active states where the system can establish coherence among the system variables), delay-induced switching-off of the oscillating states (which may correspond to inactive state or system failure), delay-induced coherent bistable states (where the system can stay longer to make decisions about the fate of the system). From simulation studies, we thus observed that delay and noise could play significant roles in regulating and controlling system dynamics, as also pointed out by analytical results.

Suggested Citation

  • Singh, Shakti Nath & Chanu, Athokpam Langlen & Malik, Md. Zubbair & Singh, R.K. Brojen, 2021. "Interplay of cellular states: Role of delay as control mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
  • Handle: RePEc:eee:phsmap:v:572:y:2021:i:c:s0378437121001412
    DOI: 10.1016/j.physa.2021.125869
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437121001412
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2021.125869?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Han Pan & Wenbing Zhang & Luyang Yu, 2022. "Exponential Stability of Switched Neural Networks with Partial State Reset and Time-Varying Delays," Mathematics, MDPI, vol. 10(20), pages 1-20, October.

    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. 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.
    2. Ankit Gupta & Mustafa Khammash, 2022. "Frequency spectra and the color of cellular noise," Nature Communications, Nature, vol. 13(1), pages 1-18, December.
    3. Lucy Ham & Megan A. Coomer & Kaan Öcal & Ramon Grima & Michael P. H. Stumpf, 2024. "A stochastic vs deterministic perspective on the timing of cellular events," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    4. Burton W Andrews & Pablo A Iglesias, 2007. "An Information-Theoretic Characterization of the Optimal Gradient Sensing Response of Cells," PLOS Computational Biology, Public Library of Science, vol. 3(8), pages 1-9, August.
    5. Arantxa Urchueguía & Luca Galbusera & Dany Chauvin & Gwendoline Bellement & Thomas Julou & Erik van Nimwegen, 2021. "Genome-wide gene expression noise in Escherichia coli is condition-dependent and determined by propagation of noise through the regulatory network," PLOS Biology, Public Library of Science, vol. 19(12), pages 1-22, December.
    6. Mark Hallen & Bochong Li & Yu Tanouchi & Cheemeng Tan & Mike West & Lingchong You, 2011. "Computation of Steady-State Probability Distributions in Stochastic Models of Cellular Networks," PLOS Computational Biology, Public Library of Science, vol. 7(10), pages 1-16, October.
    7. David M Holloway & Francisco J P Lopes & Luciano da Fontoura Costa & Bruno A N Travençolo & Nina Golyandina & Konstantin Usevich & Alexander V Spirov, 2011. "Gene Expression Noise in Spatial Patterning: hunchback Promoter Structure Affects Noise Amplitude and Distribution in Drosophila Segmentation," PLOS Computational Biology, Public Library of Science, vol. 7(2), pages 1-18, 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. 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.
    10. Thounaojam, Umeshkanta Singh, 2022. "Stochastic chaos in chemical Lorenz system: Interplay of intrinsic noise and nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    11. Shuangyu Bi & Manika Kargeti & Remy Colin & Niklas Farke & Hannes Link & Victor Sourjik, 2023. "Dynamic fluctuations in a bacterial metabolic network," Nature Communications, Nature, vol. 14(1), pages 1-14, December.
    12. Jordi Heijman & Antonio Zaza & Daniel M Johnson & Yoram Rudy & Ralf L M Peeters & Paul G A Volders & Ronald L Westra, 2013. "Determinants of Beat-to-Beat Variability of Repolarization Duration in the Canine Ventricular Myocyte: A Computational Analysis," PLOS Computational Biology, Public Library of Science, vol. 9(8), pages 1-14, August.
    13. Burton W Andrews & Tau-Mu Yi & Pablo A Iglesias, 2006. "Optimal Noise Filtering in the Chemotactic Response of Escherichia coli," PLOS Computational Biology, Public Library of Science, vol. 2(11), pages 1-12, November.
    14. Benjamin B Kaufmann & Qiong Yang & Jerome T Mettetal & Alexander van Oudenaarden, 2007. "Heritable Stochastic Switching Revealed by Single-Cell Genealogy," PLOS Biology, Public Library of Science, vol. 5(9), pages 1-8, September.

    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:eee:phsmap:v:572:y:2021:i:c:s0378437121001412. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.