IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/1419716.html
   My bibliography  Save this article

Bifurcation in a G0 Model of Hematological Stem Cells With Delay

Author

Listed:
  • Ma Suqi
  • S. J. Hogan
  • Mohammad Safi Ullah

Abstract

The periodical dynamics of a G0 cell cycle model of pluripotential stem cells is analyzed by DDE-Biftool software. The cell cycle model is impressed by modeling the optional choice of Hill function, which is benefited by Fourier transformation. The cell cycle is based on DDEs with distributed time delay, in which the kernel function is denoted by Gamma-distribution expression. Hopf bifurcation of the linear version of the cell cycle model with distribution time delay is analyzed analytically. The periodical solution continuation is simulated by the artificial handbook of DDE-Biftool software. With the discrete time delay, the complex behavior of adding-period bifurcation and period-doubling bifurcation are simulated. With distribution time delay, the continuation work of the homoclinic solution is done, and the homoclinic bifurcation line crosses the generalized Hopf point nearly.JEL Classification: 34C25, 34K18, 37G15

Suggested Citation

  • Ma Suqi & S. J. Hogan & Mohammad Safi Ullah, 2024. "Bifurcation in a G0 Model of Hematological Stem Cells With Delay," Abstract and Applied Analysis, Hindawi, vol. 2024, pages 1-15, December.
    • Handle: RePEc:hin:jnlaaa:1419716
    DOI: 10.1155/aaa/1419716
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/aaa/2024/1419716.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/aaa/2024/1419716.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/aaa/1419716?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
    ---><---

    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:jnlaaa:1419716. 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.