A reaction-diffusion model of spatial propagation of Aβ oligomers in early stage Alzheimer’s disease - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Journal of Mathematical Biology Year : 2021

A reaction-diffusion model of spatial propagation of Aβ oligomers in early stage Alzheimer’s disease

Abstract

The misconformation and aggregation of the protein Amyloid-Beta (Aβ) is a key event in the propagation of Alzheimer's Disease (AD). Different types of assemblies are identified, with long fibrils and plaques deposing during the late stages of AD. In the earlier stages, the disease spread is driven by the formation and the spatial propagation of small amorphous assemblies called oligomers. We propose a model dedicated to studying those early stages, in the vicinity of a few neurons and after a polymer seed has been formed. We build a reaction-diffusion model, with a Becker-Döring-like system that includes fragmentation and size-dependent diffusion. We hereby establish the
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Dates and versions

hal-03533359 , version 1 (18-01-2022)

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Cite

Martin Andrade-Restrepo, Ionel Sorin Ciuperca, Paul Lemarre, Laurent Pujo-Menjouet, Leon Tine. A reaction-diffusion model of spatial propagation of Aβ oligomers in early stage Alzheimer’s disease. Journal of Mathematical Biology, 2021, 82 (5), pp.1-25. ⟨10.1007/s00285-021-01593-3⟩. ⟨hal-03533359⟩
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