Selfish intracellular replicators: a two-level selection minimalist mathematical model

Selfish intracellular replicators: a two-level selection minimalist mathematical model A mathematical model of the interaction between two levels of selection (intracellular and cellular) is presented. The paradigm is that of a selfish intracellular replicator, such as a strand of selfish DNA, that reproduces itself at the expense of the efficiency of the structure of the cell. A mathematical analysis is conducted and conditions for the survival of the selfish replicators are obtained explicitly. Our results indicate that, if reproduction is asexual, mechanisms of horizontal transfer of genes are essential for the fixation of such replicators in the population and also that less harmful replicators have a better chance of infecting a whole population, while aggressive ones will usually successfully infect only a part of it. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational and Applied Mathematics Springer Journals

Selfish intracellular replicators: a two-level selection minimalist mathematical model

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Publisher
Springer International Publishing
Copyright
Copyright © 2016 by SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional
Subject
Mathematics; Applications of Mathematics; Computational Mathematics and Numerical Analysis; Mathematical Applications in the Physical Sciences; Mathematical Applications in Computer Science
ISSN
0101-8205
eISSN
1807-0302
D.O.I.
10.1007/s40314-015-0304-6
Publisher site
See Article on Publisher Site

Abstract

A mathematical model of the interaction between two levels of selection (intracellular and cellular) is presented. The paradigm is that of a selfish intracellular replicator, such as a strand of selfish DNA, that reproduces itself at the expense of the efficiency of the structure of the cell. A mathematical analysis is conducted and conditions for the survival of the selfish replicators are obtained explicitly. Our results indicate that, if reproduction is asexual, mechanisms of horizontal transfer of genes are essential for the fixation of such replicators in the population and also that less harmful replicators have a better chance of infecting a whole population, while aggressive ones will usually successfully infect only a part of it.

Journal

Computational and Applied MathematicsSpringer Journals

Published: Jan 16, 2016

References

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