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Multiset topology via DNA and RNA mutation
Author(s) -
ElSharkasy M. M.,
Fouda Wafaa M.,
Badr Mohamed S.
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4764
Subject(s) - multiset , mathematics , topology (electrical circuits) , metric (unit) , mutation , set (abstract data type) , congruence (geometry) , theoretical computer science , discrete mathematics , computer science , combinatorics , genetics , biology , gene , operations management , geometry , economics , programming language
Topology is the most important branch of modern mathematics, which plays an important role in applications. In this paper, we use the concept of the topology, based on the concept of multiset to solve an important problems in life (DNA and RNA mutation) to detect diseases and help biologists in the treatment of diseases. Also, we introduce a new theory that explains if there is an existence of a mutation or not, and we have a set of metric functions through which we examine the congruence and similarity and dissimilarity between “types,” which may be a strings of bits, vectors, DNA or RNA sequences, …, etc. Finally, we will introduce a theory that which can be used to know the existence and place of mutation.