Scaling limit of a discrete prion dynamics model

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

Full Text (PDF format)

Published 1 January 2009