Simulating Alzheimer’s disease with a brainsphere model

Snapshots of modern mathematics from 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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Mathematical subjects

Numerics and Scientific Computing

Connections to other fields

Life Science

Author(s)

Angela Kunoth, Anna Weller, Tolunay Yilmaz

License

DOI (Digital Object Identifier)

10.14760/SNAP-2026-007-EN

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PDF

snapshots: overview

Mathematical subjects

Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics

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