Scaling limit of a discrete prion dynamics model

Marie Doumic 1, 2 Thierry Goudon 3, 4 Thomas Lepoutre 5, 6
1 MAMBA - Modelling and Analysis for Medical and Biological Applications
LJLL - Laboratoire Jacques-Louis Lions, Inria de Paris
4 COFFEE - COmplex Flows For Energy and Environment
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR7351
5 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
ICJ - Institut Camille Jordan [Villeurbanne], Inria Grenoble - Rhône-Alpes, CGPhiMC - Centre de génétique et de physiologie moléculaire et cellulaire
Abstract : This paper investigates the connection between discrete and continuous models describing prion proliferation. The scaling parameters are interpreted on biological grounds and we establish rigorous convergence statements. We also discuss, based on the asymptotic analysis, relevant boundary conditions that can be used to complete the continuous model.
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Marie Doumic, Thierry Goudon, Thomas Lepoutre. Scaling limit of a discrete prion dynamics model. Communications in Mathematical Sciences, International Press, 2009, 7 (4), ⟨10.4310/CMS.2009.v7.n4.a3⟩. ⟨inria-00403914⟩

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