IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i23p3763-d1532487.html
   My bibliography  Save this article

On m -Negative Sets and Out Mondirected Topologies in the Human Nervous System

Author

Listed:
  • Faten H. Damag

    (Department of Mathematics, Faculty of Sciences, University of Ha’il, Ha’il 2440, Saudi Arabia)

  • Amin Saif

    (Department of Mathematics, Faculty of Sciences, University of Ha’il, Ha’il 2440, Saudi Arabia
    Department of Mathematics, Faculty of Applied Sciences, Taiz University, Taiz 9674, Yemen)

  • Adem Kiliçman

    (School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA, Shah Alam 40450, Selangor, Malaysia)

  • Ekram E. Ali

    (Department of Mathematics, Faculty of Sciences, University of Ha’il, Ha’il 2440, Saudi Arabia)

  • Mouataz B. Mesmouli

    (Department of Mathematics, Faculty of Sciences, University of Ha’il, Ha’il 2440, Saudi Arabia)

Abstract

Using the monophonic paths in the theory of directed graphs, this paper constructs a new topology called the out mondirected topology, which characterizes the graphs that induce indiscrete or discrete topology. We give and study some of the relations and properties, such as the relationship between the isomorphic relation, in directed graphs and the homeomorphic property in out mondirected topological spaces, compactness, D ± -connectedness, connectedness and D ± -discrete properties. Finally, we apply our results of out mondirected topological spaces in the nervous system of the human body, such as in the messenger signal network, in diagrams of sensory neuron cells and in models of two distinct nicotinic receptor types based on the second messenger signal.

Suggested Citation

  • Faten H. Damag & Amin Saif & Adem Kiliçman & Ekram E. Ali & Mouataz B. Mesmouli, 2024. "On m -Negative Sets and Out Mondirected Topologies in the Human Nervous System," Mathematics, MDPI, vol. 12(23), pages 1-15, November.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:23:p:3763-:d:1532487
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/23/3763/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/23/3763/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:12:y:2024:i:23:p:3763-:d:1532487. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.