Scaling limit of a discrete prion dynamics model

Marie Doumic; Thierry Goudon; Thomas Lepoutre

doi:10.4310/CMS.2009.v7.n4.a3

Scaling limit of a discrete prion dynamics model

Marie Doumic
, Thierry Goudon
, Thomas Lepoutre

INRIA Rocquencourt
INRIA Institut National de Recherche en Informatique et en Automatique
CNRS UMR 8524
UPMC Université de Paris VI
CNRS
Project-Team BANG

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	839-865
Nombre de pages	27
journal	Communications in Mathematical Sciences
Volume	7
Numéro de publication	4
Les DOIs	https://doi.org/10.4310/CMS.2009.v7.n4.a3
état	Publié - 1 janv. 2009
Modification externe	Oui

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10.4310/CMS.2009.v7.n4.a3

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title = "Scaling limit of a discrete prion dynamics model",

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.",

keywords = "Aggregation fragmentation equations, Asymptotic analysis, Polymerization process",

author = "Marie Doumic and Thierry Goudon and Thomas Lepoutre",

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KW - Aggregation fragmentation equations

KW - Asymptotic analysis

KW - Polymerization process

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DO - 10.4310/CMS.2009.v7.n4.a3

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JO - Communications in Mathematical Sciences

JF - Communications in Mathematical Sciences

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Scaling limit of a discrete prion dynamics model

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