Scaling limit of a discrete prion dynamics model

TL;DR

This paper rigorously connects discrete and continuous models of prion proliferation, interpreting scaling parameters biologically and establishing convergence, while analyzing boundary conditions for the continuous model.

Contribution

It provides a rigorous mathematical link between discrete and continuous prion models and discusses biologically relevant boundary conditions.

Findings

Established convergence from discrete to continuous models.

Interpreted scaling parameters in biological terms.

Analyzed boundary conditions for the continuous 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.