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Mathematical modeling and evolutionary processes

Abstract : The research presented in this thesis concerns different topics in the field of Biomathematics. I address diverse questions arising in biology (and related to complex systems) with mathematical and numerical methods. These questions are: (i) Are passive-processes enough to justify the asymmetric distribution of damaged proteins during and after yeast cytokinesis? (ii) What processes are behind the complex patterns of expansion of Amyloid beta in the brains of patients with Alzheimer’s disease? (iii) What is behind the clustering and cline-like dichotomy in models of evolution along environmental gradients? (iv) How does this dichotomy affect the spatial dynamics of invasions and range expansions? (v) How does multi-stability manifest in these models? These questions are approached (at different scales, some fully and some partially) with different theoretical methods. Results are expected to shed light on the biological processes analyzed and to motivate further experimental and empirical work which can help solve lingering uncertainties.
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Submitted on : Tuesday, April 7, 2020 - 5:05:24 PM
Last modification on : Friday, April 10, 2020 - 5:07:36 PM


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Martín Andrade Restrepo. Mathematical modeling and evolutionary processes. Molecular biology. Université Sorbonne Paris Cité, 2019. English. ⟨NNT : 2019USPCC021⟩. ⟨tel-02535689⟩



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