IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v3y2012i1d10.1038_ncomms1775.html
   My bibliography  Save this article

Discreteness-induced concentration inversion in mesoscopic chemical systems

Author

Listed:
  • Rajesh Ramaswamy

    (MOSAIC Group, Institute of Theoretical Computer Science, ETH Zurich, 8092 Zurich, Switzerland.
    SIB Swiss Institute of Bioinformatics, 8092 Zurich, Switzerland.)

  • Nélido González-Segredo

    (MOSAIC Group, Institute of Theoretical Computer Science, ETH Zurich, 8092 Zurich, Switzerland.
    SIB Swiss Institute of Bioinformatics, 8092 Zurich, Switzerland.
    Present address: Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Campus Plaine CP-231, B-1050 Brussels, Belgium.)

  • Ivo F. Sbalzarini

    (MOSAIC Group, Institute of Theoretical Computer Science, ETH Zurich, 8092 Zurich, Switzerland.
    SIB Swiss Institute of Bioinformatics, 8092 Zurich, Switzerland.)

  • Ramon Grima

    (Centre for Systems Biology, University of Edinburgh)

Abstract

Molecular discreteness is apparent in small-volume chemical systems, such as biological cells, leading to stochastic kinetics. Here we present a theoretical framework to understand the effects of discreteness on the steady state of a monostable chemical reaction network. We consider independent realizations of the same chemical system in compartments of different volumes. Rate equations ignore molecular discreteness and predict the same average steady-state concentrations in all compartments. However, our theory predicts that the average steady state of the system varies with volume: if a species is more abundant than another for large volumes, then the reverse occurs for volumes below a critical value, leading to a concentration inversion effect. The addition of extrinsic noise increases the size of the critical volume. We theoretically predict the critical volumes and verify, by exact stochastic simulations, that rate equations are qualitatively incorrect in sub-critical volumes.

Suggested Citation

  • Rajesh Ramaswamy & Nélido González-Segredo & Ivo F. Sbalzarini & Ramon Grima, 2012. "Discreteness-induced concentration inversion in mesoscopic chemical systems," Nature Communications, Nature, vol. 3(1), pages 1-8, January.
    • Handle: RePEc:nat:natcom:v:3:y:2012:i:1:d:10.1038_ncomms1775
    DOI: 10.1038/ncomms1775
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/ncomms1775
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1038/ncomms1775?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
    ---><---

    Citations

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


    Cited by:

    1. Atefeh Kazeroonian & Fabian Fröhlich & Andreas Raue & Fabian J Theis & Jan Hasenauer, 2016. "CERENA: ChEmical REaction Network Analyzer—A Toolbox for the Simulation and Analysis of Stochastic Chemical Kinetics," PLOS ONE, Public Library of Science, vol. 11(1), pages 1-15, January.
    2. Fabian Fröhlich & Philipp Thomas & Atefeh Kazeroonian & Fabian J Theis & Ramon Grima & Jan Hasenauer, 2016. "Inference for Stochastic Chemical Kinetics Using Moment Equations and System Size Expansion," PLOS Computational Biology, Public Library of Science, vol. 12(7), pages 1-28, July.
    3. Jan Hasenauer & Christine Hasenauer & Tim Hucho & Fabian J Theis, 2014. "ODE Constrained Mixture Modelling: A Method for Unraveling Subpopulation Structures and Dynamics," PLOS Computational Biology, Public Library of Science, vol. 10(7), pages 1-17, July.

    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:3:y:2012:i:1:d:10.1038_ncomms1775. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.