☆ 4.1 Article

The shape of the polymerization rate in the prion equation

MATHEMATICAL AND COMPUTER MODELLING (2011)

期刊

MATHEMATICAL AND COMPUTER MODELLING

卷 53, 期 7-8, 页码 1451-1456

出版社

PERGAMON-ELSEVIER SCIENCE LTD

DOI: 10.1016/j.mcm.2010.03.032

关键词

Aggregation-fragmentation equations; Self-similarity; Eigenproblem; Size repartition; Polymerization process; Data fitting

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Computer Science, Interdisciplinary Applications Computer Science, Software Engineering Mathematics, Applied

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ANR

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Reagent

摘要

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 [15], where the fragmentation dependence on prion strains is investigated. Our improvement is to use power laws for the rates, whereas [15] used a constant polymerization coefficient and linear fragmentation. (C) 2010 Elsevier Ltd. All rights reserved.

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