IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v36y2025i09ns0129183125500068.html
   My bibliography  Save this article

A numerical investigation of nonlinear age-structured tumor with bidirectional proliferative and quiescent phase transitions

Author

Listed:
  • Sweta Sinha

    (Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, India)

  • Paramjeet Singh

    (Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, India)

Abstract

The study investigates a nonlinear model that describes the dynamics of populations of tumor cells, with a specific emphasis on the phases of cell proliferation and quiescence. The formulation of the model is determined by the age of the cells and time spend by them in each phase. The nonlinearity arises from the transitions between the proliferative and quiescent phases that are influenced by the age of cells and their total count. We thoroughly investigate the stability characteristic, both local and global, of trivial equilibrium points. To discretize the model, we utilize the discontinuous Galerkin scheme for spatial variables and the explicit Runge–Kutta of order four for time-dependent variables. The effectiveness of the discretized scheme is assessed using the convergence rate outcomes. The validity of our results is confirmed through numerical simulations, which also explore the effects of model paraters.

Suggested Citation

  • Sweta Sinha & Paramjeet Singh, 2025. "A numerical investigation of nonlinear age-structured tumor with bidirectional proliferative and quiescent phase transitions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 36(09), pages 1-26, September.
    • Handle: RePEc:wsi:ijmpcx:v:36:y:2025:i:09:n:s0129183125500068
    DOI: 10.1142/S0129183125500068
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183125500068
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183125500068?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.

    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:wsi:ijmpcx:v:36:y:2025:i:09:n:s0129183125500068. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.