• Algebraic hyperstructures asso...

*Result*: Algebraic hyperstructures associated to biological inheritance.

Title:
Algebraic hyperstructures associated to biological inheritance.
Authors:
Al Tahan M; Department of Mathematics, Lebanese International University, Lebanon. Electronic address: madeline.tahan@liu.edu.lb., Davvaz B; Department of Mathematics, Yazd University, Yazd, Iran. Electronic address: davvaz@yazd.ac.ir.
Source:
Mathematical biosciences [Math Biosci] 2017 Mar; Vol. 285, pp. 112-118. Date of Electronic Publication: 2017 Jan 17.
Publication Type:
Journal Article
Language:
English
Journal Info:
Publisher: American Elsevier Country of Publication: United States NLM ID: 0103146 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 1879-3134 (Electronic) Linking ISSN: 00255564 NLM ISO Abbreviation: Math Biosci Subsets: MEDLINE
Imprint Name(s):
Original Publication: New York, American Elsevier.
MeSH Terms:
Epistasis, Genetic* , Inheritance Patterns* , Models, Biological*
Contributed Indexing:
Keywords: H(v)-semigroup; Hypergroup; Hyperstructure; Inheritance
Entry Date(s):
Date Created: 20170122 Date Completed: 20170904 Latest Revision: 20180315
Update Code:
20260130
DOI:
10.1016/j.mbs.2017.01.002
PMID:
28108295
Database:
MEDLINE

*Further Information*

*After introducing the notion of hyperstructures about 80 years ago, a number of researches on its applications have been done. This paper can be considered as one of its applications on Biology. It is well known that biological inheritance is related to Mathematics in the sense of probability. In this paper, we consider another relationship between inheritance and Mathematics in which we present a connection between it and hyperstructures. First, we present examples of five different types of Non- Mendelian inheritance and study, for the first time, their relation with hyperstucture theory. Then we make some hypothetical crosses for the n- hybrid case for both simple and incomplete inheritances and study their relations with hyperstructures.
(Copyright © 2017 Elsevier Inc. All rights reserved.)*