IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v240y2026icp612-632.html

A new nonlinear model of reaction-diffusion-advection applied to some scar anomalies and cutaneous mosaicism

Author

Listed:
  • Ochoa-Gutiérrez, H. Osmart
  • Montes-Pérez, Areli
  • Morales, Marco A.

Abstract

In this work is present a mathematical model for explain the cutaneous regeneration using new mechanochemical model-advection formed by three nonlinear partial differential equations that consider the dermis, epidermis and basal lamina, as well as cellular densities and chemical concentrations for the human skin, respectively. The model incorporates the simulation of the following biological processes: cellular diffusion in the epidermis, long-range spatial interaction (non-linear diffusion effects) in the dermis, chemical diffusion for the epidermis, cellular proliferation in the dermis and epidermis, chemotaxis for the epidermis, haptotaxis for the dermis and nonlinear chemical kinetics of biochemical substances of the skin. The nonlinear partial differential equations of new model are solved numerically. Their numerical solutions are presented as bidimensional patterns, which reproduces the morphogenesis of extracellular matrix, including the scaring of healthy skin in the form of keloid and contractile scars, as well as the reproduction of some of their pathologies, such as vitiligo and Blaschko lines.

Suggested Citation

  • Ochoa-Gutiérrez, H. Osmart & Montes-Pérez, Areli & Morales, Marco A., 2026. "A new nonlinear model of reaction-diffusion-advection applied to some scar anomalies and cutaneous mosaicism," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 240(C), pages 612-632.
    • Handle: RePEc:eee:matcom:v:240:y:2026:i:c:p:612-632
    DOI: 10.1016/j.matcom.2025.07.029
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475425002952
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2025.07.029?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

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:eee:matcom:v:240:y:2026:i:c:p:612-632. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.