Spatial pattern analysis of a Aβ-monomer model with inflammation processes for Alzheimer's disease - Inria - Institut national de recherche en sciences et technologies du numérique
Pré-Publication, Document De Travail Année : 2024

Spatial pattern analysis of a Aβ-monomer model with inflammation processes for Alzheimer's disease

Résumé

We study the emergence of spatial patterns for a system of reaction-diffusion equations, modeling the progression of Alzheimer's disease through the interaction of Aβ-monomers, oligomers, microglial cells, and interleukins with neurons. In our work, these spatial patterns stand for inert amyloid plaques, which are extracellular deposits of Aβ-proteins and a characteristic feature of this neurodegenerative disease. Using linear analysis and numerical simulations, we show the existence of spatially heterogeneous solutions and exhibit a wide variety of possible spatiallydependent solutions: time-oscillating, low-amplitude, and high-amplitude patterns. Moreover, we carry out an extensive analysis of high-amplitude patterns in the one-and two-dimensional domains. In particular, we study the stability of branches of heterogeneous steady states through bifurcation diagrams and their selection. From these numerical simulations, we develop some conjectures concerning the influence of inflammation and microglial cells in the formation of amyloid plaques. These findings offer insights into potential anti-inflammatory treatments that might be used to mitigate the progression of Alzheimer's disease and the emergence of inert amyloid plaques.
Fichier principal
Vignette du fichier
AlzheimerPattern.pdf (3.01 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04703797 , version 1 (20-09-2024)

Licence

Identifiants

  • HAL Id : hal-04703797 , version 1

Citer

Maxime Estavoyer, Nicolas Torres, Julien Blohm, Laurent Pujo-Menjouet. Spatial pattern analysis of a Aβ-monomer model with inflammation processes for Alzheimer's disease. 2024. ⟨hal-04703797⟩
0 Consultations
0 Téléchargements

Partager

More