IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v151y2021ics096007792100607x.html
   My bibliography  Save this article

Bifurcation analysis of multistability and oscillation emergence in a model of brain extracellular matrix

Author

Listed:
  • Rozhnova, Maiya A.
  • Pankratova, Evgeniya V.
  • Stasenko, Sergey V.
  • Kazantsev, Victor B.

Abstract

Neurons release diverse molecules including proteoglycans and glycoproteins, which can aggregate in the extracellular space and form the so-called extracellular matrix (ECM). The ECM represents an active medium that may regulate major cellular functions including signal generation and transmission. There are also extracellular proteases that may degrade the ECM. It is important that both synthesis and degradation of ECM are activity-dependent connected with neuronal firing. In this study we apply rigorous bifurcation analysis to nonlinear dynamical system describing the ECM activation. We found that the ECM can have both multistable and oscillatory dynamics. Specifically, there are different types of bistability including coexistence of two stationary states for the concentration of ECM molecules or coexistence of a limit cycle and a fixed point. We also found parameters when three attractors exist simultaneously. The attractors of the ECM model can be further treated as specific modulation modes of neuronal circuits being immersed into active ECM medium.

Suggested Citation

  • Rozhnova, Maiya A. & Pankratova, Evgeniya V. & Stasenko, Sergey V. & Kazantsev, Victor B., 2021. "Bifurcation analysis of multistability and oscillation emergence in a model of brain extracellular matrix," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s096007792100607x
    DOI: 10.1016/j.chaos.2021.111253
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007792100607X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.111253?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. Victor Kazantsev & Susan Gordleeva & Sergey Stasenko & Alexander Dityatev, 2012. "A Homeostatic Model of Neuronal Firing Governed by Feedback Signals from the Extracellular Matrix," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-12, July.
    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. Sergey V. Stasenko & Victor B. Kazantsev, 2023. "Bursting Dynamics of Spiking Neural Network Induced by Active Extracellular Medium," Mathematics, MDPI, vol. 11(9), pages 1-17, April.
    2. Evgeniya V. Pankratova & Maria S. Sinitsina & Susanna Gordleeva & Victor B. Kazantsev, 2022. "Bistability and Chaos Emergence in Spontaneous Dynamics of Astrocytic Calcium Concentration," Mathematics, MDPI, vol. 10(8), pages 1-20, April.

    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. Zonglun Li & Yuliya Tsybina & Susanna Gordleeva & Alexey Zaikin, 2022. "Impact of Astrocytic Coverage of Synapses on the Short-Term Memory of a Computational Neuron-Astrocyte Network," Mathematics, MDPI, vol. 10(18), pages 1-20, September.
    2. Sergey V. Stasenko & Victor B. Kazantsev, 2023. "Bursting Dynamics of Spiking Neural Network Induced by Active Extracellular Medium," Mathematics, MDPI, vol. 11(9), pages 1-17, April.

    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:chsofr:v:151:y:2021:i:c:s096007792100607x. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.