IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/427050.html
   My bibliography  Save this article

Discrete Coupling and Synchronization in the Insulin Release in the Mathematical Model of the Cells

Author

Listed:
  • L. J. Ontañón-García
  • E. Campos-Cantón

Abstract

The synchronization phenomenon that occurs in the Langerhans islets among pancreatic cells is an interesting topic because these cells are responsible for the release of insulin in the blood stream. The aim of this work is to generate in-phase bursting electrical activity (BEA) in cells with different behaviors such as active, inactive, and continuous spiking cells based on mathematical models using a discrete time coupling. The approach considers two steps, the former is a mechanism on how to force cells to switch from silent phase to active, the latter is based on how to deal with in phase synchronization between active cells. The coupling signal is triggered in discrete events caused by the crossing of a threshold of an active cell which is given or defined by a Poincaré plane. The coupling on the inactive cells is applied to the state in which are the concentrations of agents which regulate the BEA. Based on numerical simulations, synchronization in the insulin release is obtained from cells with different behaviors.

Suggested Citation

  • L. J. Ontañón-García & E. Campos-Cantón, 2013. "Discrete Coupling and Synchronization in the Insulin Release in the Mathematical Model of the Cells," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-7, February.
    • Handle: RePEc:hin:jnddns:427050
    DOI: 10.1155/2013/427050
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/DDNS/2013/427050.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/DDNS/2013/427050.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/427050?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. Bodo, Bertrand & Mvogo, Alain & Morfu, Saverio, 2017. "Fractional dynamical behavior of electrical activity in a model of pancreatic β-cells," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 426-432.

    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:hin:jnddns:427050. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.