Geodesic
Modeling the spatial propagation of Aβ oligomers in Alzheimer’s Disease
Martin Andrade-Restrepo1 ; Paul Lemarre2, 3 ; Laurent Pujo-Menjouet2, 3 ; Leon Matar Tine2, 3 ; Sorin Ionel Ciuperca2
1Institut Jacques Monod, CNRS UMR 7592, Université Paris Diderot, Paris Cité Sorbonne, F-750205, Paris, France
2Institut Camille Jordan, Université de Lyon, Université Claude Bernard Lyon 1, CNRS UMR 5208, 43 blvd. du 11 novembre 1918, 69622 Villeurbanne cedex, France
3Team Dracula, INRIA, 69603 Villeurbanne Cedex, France
ESAIM. Proceedings, Tome 67 (2020), pp. 30-45
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Recent advances in the study of Alzheimer’s Disease and the role of Aβ amyloid formation have caused the focus of biologists to progressively shift towards the smaller protein assemblies, the oligomers. These appear very early on in the disease progression and they seem to be the most infectious species for the neurons. We suggest a model of spatial propagation of Aβ oligomers in the vicinity of a few neurons, without considering the formation of large fibrils or plaques. We also include a simple representation of the oligomers neurotoxic effect. A numerical study reveals that the oligomers spatial dynamics are very sensitive to the balance between their diffusion and their replication, and that the outcome in terms of the progression of AD strongly depends on it.
DOI : 10.1051/proc/202067003

Martin Andrade-Restrepo  1   ; Paul Lemarre  2 , 3   ; Laurent Pujo-Menjouet  2 , 3   ; Leon Matar Tine  2 , 3   ; Sorin Ionel Ciuperca  2

1 Institut Jacques Monod, CNRS UMR 7592, Université Paris Diderot, Paris Cité Sorbonne, F-750205, Paris, France
2 Institut Camille Jordan, Université de Lyon, Université Claude Bernard Lyon 1, CNRS UMR 5208, 43 blvd. du 11 novembre 1918, 69622 Villeurbanne cedex, France
3 Team Dracula, INRIA, 69603 Villeurbanne Cedex, France 
@article{EP_2020_67_a3,
     author = {Martin Andrade-Restrepo and Paul Lemarre and Laurent Pujo-Menjouet and Leon Matar Tine and Sorin Ionel Ciuperca},
     title = {Modeling the spatial propagation of {A\ensuremath{\beta}} oligomers in {Alzheimer{\textquoteright}s} {Disease}},
     journal = {ESAIM. Proceedings},
     pages = {30--45},
     year = {2020},
     volume = {67},
     doi = {10.1051/proc/202067003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202067003/}
}
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%A Leon Matar Tine
%A Sorin Ionel Ciuperca
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Martin Andrade-Restrepo; Paul Lemarre; Laurent Pujo-Menjouet; Leon Matar Tine; Sorin Ionel Ciuperca. Modeling the spatial propagation of Aβ oligomers in Alzheimer’s Disease. ESAIM. Proceedings, Tome 67 (2020), pp. 30-45. doi: 10.1051/proc/202067003

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