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

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...

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Published in:MATHEMATICS
Main Authors: Damag, Faten H.; Saif, Amin; Kilicman, Adem; Ali, Ekram E.; Mesmouli, Mouataz B.
Format: Article
Language:English
Published: MDPI 2024
Subjects:
Online Access:https://www-webofscience-com.uitm.idm.oclc.org/wos/woscc/full-recordWOS:001376424100001
author Damag
Faten H.; Saif
Amin; Kilicman
Adem; Ali
Ekram E.; Mesmouli
Mouataz B.
spellingShingle Damag
Faten H.; Saif
Amin; Kilicman
Adem; Ali
Ekram E.; Mesmouli
Mouataz B.
On m-Negative Sets and Out Mondirected Topologies in the Human Nervous System
Mathematics
author_facet Damag
Faten H.; Saif
Amin; Kilicman
Adem; Ali
Ekram E.; Mesmouli
Mouataz B.
author_sort Damag
spelling Damag, Faten H.; Saif, Amin; Kilicman, Adem; Ali, Ekram E.; Mesmouli, Mouataz B.
On m-Negative Sets and Out Mondirected Topologies in the Human Nervous System
MATHEMATICS
English
Article
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.
MDPI

2227-7390
2024
12
23
10.3390/math12233763
Mathematics

WOS:001376424100001
https://www-webofscience-com.uitm.idm.oclc.org/wos/woscc/full-recordWOS:001376424100001
title On m-Negative Sets and Out Mondirected Topologies in the Human Nervous System
title_short On m-Negative Sets and Out Mondirected Topologies in the Human Nervous System
title_full On m-Negative Sets and Out Mondirected Topologies in the Human Nervous System
title_fullStr On m-Negative Sets and Out Mondirected Topologies in the Human Nervous System
title_full_unstemmed On m-Negative Sets and Out Mondirected Topologies in the Human Nervous System
title_sort On m-Negative Sets and Out Mondirected Topologies in the Human Nervous System
container_title MATHEMATICS
language English
format Article
description 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.
publisher MDPI
issn
2227-7390
publishDate 2024
container_volume 12
container_issue 23
doi_str_mv 10.3390/math12233763
topic Mathematics
topic_facet Mathematics
accesstype
id WOS:001376424100001
url https://www-webofscience-com.uitm.idm.oclc.org/wos/woscc/full-recordWOS:001376424100001
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