Mutation and Chaos in Nonlinear Models of Heredity

We shall explore a nonlinear discrete dynamical system that naturally occurs in population systems to describe a transmission of a trait from parents to their offspring. We consider a Mendelian inheritance for a single gene with three alleles and assume that to form a new generation, each gene has a...

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Detalles Bibliográficos
Autores principales: Ganikhodjaev, Nasir, Saburov, Mansoor, Nawi, Ashraf Mohamed
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4130324/
https://www.ncbi.nlm.nih.gov/pubmed/25136693
http://dx.doi.org/10.1155/2014/835069
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author Ganikhodjaev, Nasir
Saburov, Mansoor
Nawi, Ashraf Mohamed
author_facet Ganikhodjaev, Nasir
Saburov, Mansoor
Nawi, Ashraf Mohamed
author_sort Ganikhodjaev, Nasir
collection PubMed
description We shall explore a nonlinear discrete dynamical system that naturally occurs in population systems to describe a transmission of a trait from parents to their offspring. We consider a Mendelian inheritance for a single gene with three alleles and assume that to form a new generation, each gene has a possibility to mutate, that is, to change into a gene of the other kind. We investigate the derived models and observe chaotic behaviors of such models.
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spelling pubmed-41303242014-08-18 Mutation and Chaos in Nonlinear Models of Heredity Ganikhodjaev, Nasir Saburov, Mansoor Nawi, Ashraf Mohamed ScientificWorldJournal Research Article We shall explore a nonlinear discrete dynamical system that naturally occurs in population systems to describe a transmission of a trait from parents to their offspring. We consider a Mendelian inheritance for a single gene with three alleles and assume that to form a new generation, each gene has a possibility to mutate, that is, to change into a gene of the other kind. We investigate the derived models and observe chaotic behaviors of such models. Hindawi Publishing Corporation 2014 2014-07-21 /pmc/articles/PMC4130324/ /pubmed/25136693 http://dx.doi.org/10.1155/2014/835069 Text en Copyright © 2014 Nasir Ganikhodjaev et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Ganikhodjaev, Nasir
Saburov, Mansoor
Nawi, Ashraf Mohamed
Mutation and Chaos in Nonlinear Models of Heredity
title Mutation and Chaos in Nonlinear Models of Heredity
title_full Mutation and Chaos in Nonlinear Models of Heredity
title_fullStr Mutation and Chaos in Nonlinear Models of Heredity
title_full_unstemmed Mutation and Chaos in Nonlinear Models of Heredity
title_short Mutation and Chaos in Nonlinear Models of Heredity
title_sort mutation and chaos in nonlinear models of heredity
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4130324/
https://www.ncbi.nlm.nih.gov/pubmed/25136693
http://dx.doi.org/10.1155/2014/835069
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