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Updated: Feb 10, 2026

Assaying β-amyloid Toxicity using a Transgenic C. elegans Model
Published on: October 9, 2010
A discrete mathematical model for the aggregation of β-Amyloid
Maher A Dayeh1, George Livadiotis1, Saber Elaydi2
1Department of Space Research, Southwest Research Institute, San Antonio, Texas, United States of America.
Abstract:
Dementia associated with the Alzheimer's disease is thought to be correlated with the conversion of the β - Amyloid (Aβ) peptides from soluble monomers to aggregated oligomers and insoluble fibrils. We present a discrete-time mathematical model for the aggregation of Aβ monomers into oligomers using concepts from chemical kinetics and population dynamics. Conditions for the stability and instability of the equilibria of the model are established. A formula for the number of monomers that is required for producing oligomers is also given. This may provide compound designers a mechanism to inhibit the Aβ aggregation.
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