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Job shadowing (Year 10, Year 11 students) See https://www.math.univ-paris-diderot.fr/diffusion/index
Key figures
Key figures
189 people work at LJLL
86 permanent staff
80 researchers and permanent lecturers
6 engineers, technicians and administrative staff
103 non-permanent staff
74 Phd students
15 post-doc and ATER
14 emeritus scholars and external collaborators
January 2022
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GdT Thésards : S. Eugène
Stochastic Modelling of Polymerisation of Proteins - Sarah Eugène
To investigate intrinsic or extrinsic variability among amyloid formation experiments, we propose and study a new stochastic model, which is able to capture the main mechanisms of fibrillization while keeping a relative simplicity, which allows us for quantitative analysis. At first order, a law of large numbers shows its convergence towards the deterministic law of mass action, whereas at second order we prove a central limit theorem, which provides a stochastic differential equation that we solve explicitely. We then compared our analytical results with experimental data obtained on β2-m formation, what leads us to modify the original model by the addition of a conformation step. This new model is able to explain intrinsic variability in amyloid formation not only for in vivo but also for in vitro experiments, and paves the way for a new and efficient methodology.