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
Centre national de la recherche scientifique
Project-Team BANG

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	839-865
Number of pages	27
Journal	Communications in Mathematical Sciences
Volume	7
Issue number	4
DOIs	https://doi.org/10.4310/CMS.2009.v7.n4.a3
Publication status	Published - 1 Jan 2009
Externally published	Yes

Keywords

Aggregation fragmentation equations
Asymptotic analysis
Polymerization process

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10.4310/CMS.2009.v7.n4.a3

Cite this

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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.",

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KW - Aggregation fragmentation equations

KW - Asymptotic analysis

KW - Polymerization process

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Scaling limit of a discrete prion dynamics model

Abstract

Keywords

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