Speaker
Mathieu Mezache
(INRAE)
Description
In order to provide an explanation for the damped oscillations surprisingly observed in Prion depolymerization experiments, a bi-monomeric variant of the seminal Becker-Döring system is proposed. In this talk, we 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.
Author
Mathieu Mezache
(INRAE)
Co-authors
Juan J. L. Velázquez
(University of Bonn, Institute for Applied Mathematics, Endenicher Allee 60, D-53115 Bonn, Germany)
Klemens Fellner
(Institute of Mathematics and Scientific Computing, University of Graz, Graz 8010, Austria)
Marie Doumic
(Sorbonne Universités, Inria, Université Paris-Diderot, CNRS, Laboratoire Jacques-Louis Lions, Paris, France and Wolfgang Pauli Institute, C/O University of Vienna, Austria)
