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Updated: Jan 28, 2026

Fabrication of Amyloid-β-Secreting Alginate Microbeads for Use in Modelling Alzheimer's Disease
Published on: July 6, 2019
A Mathematical Model for Amyloid-οΏ½οΏ½ Aggregation in the Presence of Metal Ions: A Timescale Analysis for the Progress
Eda Asili1, Shantia Yarahmadian2, Hadi Khani3
1Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS, 39762, USA.
Abstract:
The aggregation of amyloid-π½ (Aπ½) proteins through their self-assembly into oligomers, fibrils, or senile plaques is advocated as a key process of Alzheimer's disease. Recent studies have revealed that metal ions play an essential role in modulating the aggregation rate of amyloid-π½ (Aπ½) into senile plaques because of high binding affinity between Aπ½ proteins and metal ions. In this paper, we proposed a mathematical model as a set of coupled kinetic equations that models the self-assembly of amyloid-π½ (Aπ½) proteins in the presence of metal ions. The numerical simulations capture four timescales in the Aπ½ dynamics associated with three important events which include the formation of the amyloid-metal complex, the homogeneous aggregation of the amyloid-metal complexes, and the non-homogeneous aggregation of the amyloid-metal complexes. The method of singular perturbation is used to identify these timescales in the framework of slow-fast systems.
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