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The quasispecies distribution

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arxiv 1609.05738 v1 pith:W6XPLZXF submitted 2016-09-19 q-bio.PE math.COmath.PR

The quasispecies distribution

classification q-bio.PE math.COmath.PR
keywords instancemodelquasispeciesappealingbiologybrieflycoefficientscombinatorial
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The quasispecies model was introduced in 1971 by Manfred Eigen to discuss the first stages of life on Earth. It provides an appealing mathematical framework to study the evolution of populations in biology, for instance viruses. We present briefly the model and we focus on its stationary solutions. These formulae have a surprisingly rich combinatorial structure, involving for instance the Eulerian and Stirling numbers, as well as the up--down coefficients of permutations.

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