Analyse de l'agrégation des protéines dans les maladies neurodégénératives amyloïdes : application aux maladies à prion

Abstract : The amyloid neurodegenerative diseases are characterized by the degeneration and the aggregation of specific proteins. These aggregation processes remain misunderstood by specialists and, mostly, only hypothetical. In this thesis, and in collaboration with biophysicists, we analyze the mechanisms of aggregation, relying on experimental data. Modeling is then a must. We present two models which we compare with the experiments. The first model, well-known from the literature is the Becker-Döring system. An infinite system of ordinary differential equations. This first model allows us to reproduce satisfactorily the early stages of the experiments. The second model we introduce is based on an additional hypothesis which is about the formation of different fibers. This second model allows us to reproduce the experiments.
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Hadjer Wafaa Haffaf. Analyse de l'agrégation des protéines dans les maladies neurodégénératives amyloïdes : application aux maladies à prion. Probabilités [math.PR]. Université Pierre et Marie Curie - Paris VI, 2014. Français. ⟨NNT : 2014PA066263⟩. ⟨tel-01143554⟩

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