Simulating Alzheimer’s disease with a brainsphere model

Instantanés de recherche mathématique à Oberwolfach

Simulating Alzheimer’s disease with a brainsphere model

Nowadays, there are different medical imaging techniques to collect data about the progression of Alzheimer’s disease in a patient’s brain. These data describe different phenomena which are still not understood from a biological point of view. How can these data sets be combined in a mathematical model to simulate the evolution of such a neurodegenerative disease in a computer? In this snapshot, we present one possible approach to address this task with the help of graph theory and partial differential equations.

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Sujet mathématique

Calcul numérique et calcul scientifique

Liens avec d'autres domaines

Sciences de la vie

Auteur(s)

Angela Kunoth, Anna Weller, Tolunay Yilmaz

Licence

DOI

10.14760/SNAP-2026-007-EN

Télécharger PDF

snapshot-2026-007.pdf

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Sujet mathématique

Algèbre et théorie des nombres
Analyse
Pédagogie et éducation
Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie
Calcul numérique et calcul scientifique
Théorie des probabilités et statistique

Liens avec d'autres domaines

Chimie et sciences de la terre
Informatique
Ingénierie et technologie
Finances
Humanités et sciences sociales
Sciences de la vie
Physique
Pensées mathématiques

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