VIRAL EVOLUTION AND ADAPTATION AS A MULTIVARIATE BRANCHING PROCESS

VIRAL EVOLUTION AND ADAPTATION AS A MULTIVARIATE BRANCHING PROCESS

Author Antoneli, Fernando Autor UNIFESP Google Scholar
Bosco, Francisco Autor UNIFESP Google Scholar
Castro, Diogo Autor UNIFESP Google Scholar
Janini, Luiz Mário Ramos Autor UNIFESP Google Scholar
Mondaini, R. P. Google Scholar
Institution Universidade Federal de São Paulo (UNIFESP)
Abstract In the present work we analyze the problem of adaptation and evolution of RNA virus populations, by defining the basic stochastic model as a multivariate branching process in close relation with the 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. We show that in the absence of beneficial forces the model is exactly solvable. As a result it is possible to prove several key results directly related to known typical properties of these systems like (i) proof, in the context of the theory of branching processes, of the lethal mutagenesis criterion proposed by Bull, Sanjuan and Wilke (Theory of lethal mutagenesis for viruses, J. Virology 18 (2007) 2930-2939); (ii) a new proposal for the notion of relaxation time with a quantitative prescription for its evaluation and (iii) the quantitative description of the evolution of the expected values in four distinct regimes: transient, stationary equilibrium, extinction threshold and lethal mutagenesis. Moreover, new insights on the dynamics of evolving virus populations can be foreseen.
Language English
Date 2013-01-01
Published in Biomat 2012: International Symposium On Mathematical And Computational Biology. Singapore: World Scientific Publ Co Pte Ltd, p. 217-243, 2013.
Publisher World Scientific Publ Co Pte Ltd
Extent 217-243
Origin http://dx.doi.org/10.1142/9789814520829_0013
Access rights Closed access
Type Conference paper
Web of Science ID WOS:000335953100013
URI http://repositorio.unifesp.br/11600/42829

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