Francisco Bosco

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Since the foundations of Population Genetics the notion of genetic equilibrium (in close analogy with Classical Mechanics) has been associated with the Hardy-Weinberg (HW) principle and the identification of equilibrium is currently assumed by stating that the HW axioms are valid if appropriate values of χ(2) (p < 0.05) are observed in experiments. Here we(More)
In this paper, we revisit and adapt to viral evolution an approach based on the theory of branching process advanced by Demetrius et al. (Bull. Math. Biol. 46:239-262, 1985), 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.(More)
Here we show that the transcriptional noise is an emergent property with scale invariance from genome level to the level of small Transcriptional Regulatory Genetic Networks (TRGN). We show that a small set of 9-12 genes reproduces the geometric mean value of transcriptional noise of the largest percolating networks and the whole 93-gene wide TRGN(More)
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(More)
In this work we propose a model for gene expression based on the theory of random dynamical systems (RDS) and show that it has a"modularity property"in the following sense: given any collection of genes that are linked in a transcriptional network, if each of them is individually described by a certain class of RDS then there is a natural, and essentially(More)
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