Study of a bi-monomeric Becker-Döring-type model

Applied Analysis, Complex Systems & Dynamics Seminar by Mathieu Mezache (CNRS and Université Paris-Saclay) on Tuesday, June 13th, 2023.

In order to provide an explanation for the damped oscillations surprisingly observed in Prion depolymerization experiments, a bi-monomeric variant of the seminal Becker-Doring seminal system is proposed. In this talk, Mathieu Mezache (CNRS and Université Paris-Saclay) will look in detail at the mechanisms leading to these oscillations. We characterize the dynamics of the system in different kinetic phases: from the initial phase of high amplitude oscillations to progressive damping and convergence towards the unique stationary solution. This result is based on quantitative approximations of the main quantities of interest: the period of oscillations, the damping of oscillations corresponding to an energy loss and the number of oscillation cycles characterizing each kinetic phase.

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