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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| Language: | English |
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Multidisciplinary Digital Publishing Institute (MDPI)
2024
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85211792062&doi=10.3390%2fmath12233763&partnerID=40&md5=beab9bc753cec10db659886f155cd2c2 |
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2-s2.0-85211792062 Damag F.H.; Saif A.; Kiliçman A.; Ali E.E.; Mesmouli M.B. On m-Negative Sets and Out Mondirected Topologies in the Human Nervous System 2024 Mathematics 12 23 10.3390/math12233763 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85211792062&doi=10.3390%2fmath12233763&partnerID=40&md5=beab9bc753cec10db659886f155cd2c2 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, (Formula presented.) -connectedness, connectedness and (Formula presented.) -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. © 2024 by the authors. Multidisciplinary Digital Publishing Institute (MDPI) 22277390 English Article |
| author |
Damag F.H.; Saif A.; Kiliçman A.; Ali E.E.; Mesmouli M.B. |
| spellingShingle |
Damag F.H.; Saif A.; Kiliçman A.; Ali E.E.; Mesmouli M.B. On m-Negative Sets and Out Mondirected Topologies in the Human Nervous System |
| author_facet |
Damag F.H.; Saif A.; Kiliçman A.; Ali E.E.; Mesmouli M.B. |
| author_sort |
Damag F.H.; Saif A.; Kiliçman A.; Ali E.E.; Mesmouli M.B. |
| 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 |
| publishDate |
2024 |
| container_title |
Mathematics |
| container_volume |
12 |
| container_issue |
23 |
| doi_str_mv |
10.3390/math12233763 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85211792062&doi=10.3390%2fmath12233763&partnerID=40&md5=beab9bc753cec10db659886f155cd2c2 |
| 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, (Formula presented.) -connectedness, connectedness and (Formula presented.) -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. © 2024 by the authors. |
| publisher |
Multidisciplinary Digital Publishing Institute (MDPI) |
| issn |
22277390 |
| language |
English |
| format |
Article |
| accesstype |
|
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1820775429456265216 |