# Analyse statistique de la sélection dans des banques minimalistes de protéines

Abstract : Evolution by natural selection involves the succession of three steps: mutations, selection and proliferation. We are interested in describing and characterizing the result of selection over a population of many variants. After selection, this population will be dominated by the few best variants, with highest propensity to be selected, or highest “selectivity”. We ask the following question: how is the selectivity of the best variants distributed in the population? Extreme value theory, which characterizes the extreme tail of probability distributions in terms of a few universality class, has been proposed to describe it. To test this proposition and identify the relevant universality class, we performed quantitative in vitro experimental selections of libraries of > $10^5$ antibodies using the technique of phage display. Data obtained by high-throughput sequencing allows us to fit the selectivity distribution over more than two decades. In most experiments, the results show a striking power law for the selectivity distribution of the top antibodies, consistent with extreme value theory.
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https://tel.archives-ouvertes.fr/tel-01686202
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BOYER_2015_archivage.pdf
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• HAL Id : tel-01686202, version 1

### Citation

Sébastien Boyer. Analyse statistique de la sélection dans des banques minimalistes de protéines. Biophysique. Université Grenoble Alpes, 2015. Français. ⟨NNT : 2015GREAY076⟩. ⟨tel-01686202⟩

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