Modélisation mathématique des impacts de l'environnement à l'aide de réseaux métaboliques et de la théorie des jeux

Taneli Pusa 1, 2
Abstract : The overall subject of this thesis is mathematical modelling of biological systems. The main model under study is the metabolic network: a collection of objects — metabolites, biochemical reactions, enzymes, and genes — and the relations amongst them, usually organised to form a graph.Three distinct topics are covered. In the first main chapter, an algorithm called MOOMIN for “Mathematical explOration of Omics data on a MetabolIc Network” is presented. It is a computational tool to interpret the results of a differential expression analysis with the help of a metabolic network. The output of the algorithm is a metabolic shift, expressed in terms of reactions that were inferred to have undergone a change in activity, that best aligns with the gene expression data. In the second main chapter, the intersection of game theory and the study of cellular metabolism is discussed. A new type of model is proposed, one that combines the principles behind evolutionary game theory with constraint-based modelling to predict metabolic behaviour. In the third and last main chapter, an epidemiological model of the Xylella fastidiosa grapevine pathogen is presented and analysed. Using sensitivity analysis, the relative importance of the model parameters is evaluated, and the results discussed from the point of view of disease control
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Taneli Pusa. Modélisation mathématique des impacts de l'environnement à l'aide de réseaux métaboliques et de la théorie des jeux. Bioinformatics [q-bio.QM]. Université de Lyon; Università degli studi La Sapienza (Rome), 2019. English. ⟨NNT : 2019LYSE1011⟩. ⟨tel-02096971⟩

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