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Prion dynamics with size dependency-strain phenomena

Abstract : Models for the polymerization process involved in prion self-replication are well-established and studied [H. Engler, J. Pruss, and G.F. Webb, Analysis of a model for the dynamics of prions II, J. Math. Anal. Appl. 324 (2006), pp. 98-117; M.L. Greer, L. Pujo-Menjouet, and G.F. Webb, A mathematical analysis of the dynamics of prion proliferation, J. Theoret. Biol. 242 (2006), pp. 598-606; J. Pruss, L. Pujo-Menjouet, G.F. Webb, and R. Zacher, Analysis of a model for the dynamics of prions, Discrete Cont. Dyn. Sys. Ser. B 6(1) (2006), pp. 215-225] in the case where the dynamics coefficients do not depend on the size of polymers. However, several experimental studies indicate that the structure and size of the prion aggregates are determinant for their pathological effect. This motivated the analysis in Calvez et al. [Size distribution dependence of prion aggregates infectivity, Math Biosci. 217 (2009), pp. 88-99] where the authors take into account size-dependent replicative properties of prion aggregates. We first improve a result concerning the dynamics of prion aggregates when a pathological state exists (high production of the normal protein). Then we study the strain phenomena and more specifically we wonder what specific replicative properties are determinant in strain propagation. We propose to interpret it also as a dynamical property of size repartitions.
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Contributor : Vincent Calvez Connect in order to contact the contributor
Submitted on : Thursday, February 14, 2013 - 3:24:27 PM
Last modification on : Wednesday, March 9, 2022 - 3:29:55 PM

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Vincent Calvez, Natacha Lenuzza, Marie Doumic, Jean-Philippe Deslys, Franck Mouthon, et al.. Prion dynamics with size dependency-strain phenomena. Journal of Biological Dynamics, 2010, 4 (1), pp.28-42. ⟨10.1080/17513750902935208⟩. ⟨hal-00788492⟩



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