Communications in Mathematical Sciences

Volume 7 (2009)

Number 4

Scaling limit of a discrete prion dynamics model

Pages: 839 – 865

DOI: http://dx.doi.org/10.4310/CMS.2009.v7.n4.a3

Authors

Marie Doumic

Thierry Goudon

Thomas Lepoutre

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

2010 Mathematics Subject Classification

35B45, 45K05, 92D25

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