Sciweavers

MCM
2011

The shape of the polymerization rate in the prion equation

13 years 5 months ago
The shape of the polymerization rate in the prion equation
We consider a polymerization (fragmentation) model with size-dependent parameters involved in prion proliferation. Using power laws for the different rates of this model, we recover the shape of the polymerization rate using experimental data. The technique used is inspired from [30], where the fragmentation dependence on prion strains is investigated. Our improvement is to use power laws for the rates, whereas [30] used a constant polymerization coefficient and linear fragmentation. Keywords Aggregation-fragmentation equations, self-similarity, eigenproblem, size repartition, polymerization process, data fitting, inverse problem. AMS Class. No. 35F50, 35Q92, 35R30, 45C05, 45K05, 45M99, 45Q05, 65D10, 92D25
Pierre Gabriel
Added 14 May 2011
Updated 14 May 2011
Type Journal
Year 2011
Where MCM
Authors Pierre Gabriel
Comments (0)