Virus Replication as a Phenotypic Version of Polynucleotide EvolutionReportar como inadecuado



 Virus Replication as a Phenotypic Version of Polynucleotide Evolution


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In this paper we revisit and adapt to viral evolution an approach based on the theory of branching process advanced by Demetrius, Schuster and Sigmund -Polynucleotide evolution and branching processes-, Bull. Math. Biol. 46 1985 239-262, in their study of polynucleotide evolution. By taking into account beneficial effects we obtain a non-trivial multivariate generalization of their single-type branching process model. Perturbative techniques allows us to obtain analytical asymptotic expressions for the main global parameters of the model which lead to the following rigorous results: i a new criterion for -no sure extinction-, ii a generalization and proof, for this particular class of models, of the lethal mutagenesis criterion proposed by Bull, Sanju\an and Wilke -Theory of lethal mutagenesis for viruses-, J. Virology 18 2007 2930-2939, iii a new proposal for the notion of relaxation time with a quantitative prescription for its evaluation, iv the quantitative description of the evolution of the expected values in in four distinct -stages-: extinction threshold, lethal mutagenesis, stationary -equilibrium- and transient. Finally, based on these quantitative results we are able to draw some qualitative conclusions.



Autor: Fernando Antoneli; Francisco Bosco; Diogo Castro; Luiz Mario Janini

Fuente: https://archive.org/







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