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| HAL : hal-00255790, version 1 |
| arXiv : 0802.2024 |
| Fiche détaillée |  Récupérer au format |
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| Bimodality, prion aggregates infectivity and prediction of strain phenomenon |
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| Vincent Calvez 1Natacha Lenuzza 2 |
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| (01/2008) |
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| We consider a model for the polymerization (fragmentation) process involved in infectious prion self-replication and study both its dynamics and non-zero steady state. We address several issues. Firstly, we give conditions leading to size repartitions of PrPsc aggregates that exhibit bimodal distributions, as indicated by recent experimental studies of prion aggregates distribution. Secondly, we show stability results for this steady state for general coefficients where reduction to a system of differential equations is not possible. We use a duality method based on recent ideas developed for population models. These results underline the potential influence of the amyloid precursor production rate in promoting amyloidogenic diseases. Finally, we numerically investigate the influence of different parameters of the model on PrPsc accumulation kinetics, in the aim to study specific features of prion strains. |
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| 1 : | Département de Mathématiques et Applications (DMA) |
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CNRS : UMR8553 – Ecole Normale Supérieure de Paris - ENS Paris |
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| 2 : | Groupe d'Innovation Diagnostique et Thérapeutique sur les Infections à Prions |
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CEA |
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| 3 : | Institute for Analysis and Scientific Computing |
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Vienna University of Technology |
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| 4 : | Mathématiques Appliquées aux Systèmes (MAS) |
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Ecole Centrale Paris |
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| 5 : | Laboratoire Jacques-Louis Lions (LJLL) |
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CNRS : UMR7598 – Université Pierre et Marie Curie - Paris VI |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Fragmentation – Bimodal distribution – eigenvalue problem – dual method – Prion strain – species barrier |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00255790, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00255790/fr/ | |
| oai:hal.archives-ouvertes.fr:hal-00255790_v1 | |
| Contributeur : Vincent Calvez | |
| Soumis le : Jeudi 14 Février 2008, 15:07:50 | |
| Dernière modification le : Jeudi 14 Février 2008, 15:31:42 | |
