Mathematical model for adaptive evolution of populations based on a complex domain
Identifieur interne : 000552 ( Main/Exploration ); précédent : 000551; suivant : 000553Mathematical model for adaptive evolution of populations based on a complex domain
Auteurs : Rabha W. Ibrahim [Malaisie] ; M. Z. Ahmad [Malaisie] ; Hiba F. Al-Janaby [Malaisie]Source :
- Saudi Journal of Biological Sciences [ 1319-562X ] ; 2015.
Abstract
A mutation is ultimately essential for adaptive evolution in all populations. It arises all the time, but is mostly fixed by enzymes. Further, most do consider that the evolution mechanism is by a natural assortment of variations in organisms in line for random variations in their DNA, and the suggestions for this are overwhelming. The altering of the construction of a gene, causing a different form that may be communicated to succeeding generations, produced by the modification of single base units in DNA, or the deletion, insertion, or rearrangement of larger units of chromosomes or genes. This altering is called a mutation. In this paper, a mathematical model is introduced to this reality. The model describes the time and space for the evolution. The tool is based on a complex domain for the space. We show that the evolution is distributed with the hypergeometric function. The Boundedness of the evolution is imposed by utilizing the Koebe function.
Url:
DOI: 10.1016/j.sjbs.2015.09.012
PubMed: 26858564
PubMed Central: 4705264
Affiliations:
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Ibrahim</name><affiliation wicri:level="1"><nlm:aff id="af005">Faculty of Computer Science and Information Technology, University Malaya, 50603, Malaysia</nlm:aff><country xml:lang="fr">Malaisie</country><wicri:regionArea>Faculty of Computer Science and Information Technology, University Malaya, 50603</wicri:regionArea><wicri:noRegion>50603</wicri:noRegion></affiliation></author><author><name sortKey="Ahmad, M Z" sort="Ahmad, M Z" uniqKey="Ahmad M" first="M. Z." last="Ahmad">M. Z. Ahmad</name><affiliation wicri:level="1"><nlm:aff id="af010">Institute of Engineering Mathematics, Universiti Malaysia Perlis, 02600 Arau, Perlis, Malaysia</nlm:aff><country xml:lang="fr">Malaisie</country><wicri:regionArea>Institute of Engineering Mathematics, Universiti Malaysia Perlis, 02600 Arau, Perlis</wicri:regionArea><wicri:noRegion>Perlis</wicri:noRegion></affiliation></author><author><name sortKey="Al Janaby, Hiba F" sort="Al Janaby, Hiba F" uniqKey="Al Janaby H" first="Hiba F." last="Al-Janaby">Hiba F. Al-Janaby</name><affiliation wicri:level="1"><nlm:aff id="af010">Institute of Engineering Mathematics, Universiti Malaysia Perlis, 02600 Arau, Perlis, Malaysia</nlm:aff><country xml:lang="fr">Malaisie</country><wicri:regionArea>Institute of Engineering Mathematics, Universiti Malaysia Perlis, 02600 Arau, Perlis</wicri:regionArea><wicri:noRegion>Perlis</wicri:noRegion></affiliation></author></analytic><series><title level="j">Saudi Journal of Biological Sciences</title><idno type="ISSN">1319-562X</idno><idno type="eISSN">2213-7106</idno><imprint><date when="2015">2015</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en"><p>A mutation is ultimately essential for adaptive evolution in all populations. It arises all the time, but is mostly fixed by enzymes. Further, most do consider that the evolution mechanism is by a natural assortment of variations in organisms in line for random variations in their DNA, and the suggestions for this are overwhelming. The altering of the construction of a gene, causing a different form that may be communicated to succeeding generations, produced by the modification of single base units in DNA, or the deletion, insertion, or rearrangement of larger units of chromosomes or genes. This altering is called a mutation. In this paper, a mathematical model is introduced to this reality. The model describes the time and space for the evolution. The tool is based on a complex domain for the space. We show that the evolution is distributed with the hypergeometric function. The Boundedness of the evolution is imposed by utilizing the Koebe function.</p></div></front></TEI><affiliations><list><country><li>Malaisie</li></country></list><tree><country name="Malaisie"><noRegion><name sortKey="Ibrahim, Rabha W" sort="Ibrahim, Rabha W" uniqKey="Ibrahim R" first="Rabha W." last="Ibrahim">Rabha W. Ibrahim</name></noRegion><name sortKey="Ahmad, M Z" sort="Ahmad, M Z" uniqKey="Ahmad M" first="M. Z." last="Ahmad">M. Z. Ahmad</name><name sortKey="Al Janaby, Hiba F" sort="Al Janaby, Hiba F" uniqKey="Al Janaby H" first="Hiba F." last="Al-Janaby">Hiba F. Al-Janaby</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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