Document Type
Article
Publication Date
5-23-2018
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.
Identifier
10.1371/journal.pone.0196402
Publisher
Public Library of Science
Repository Citation
Dayeh, M.A., Livadiotis, G., & Elaydi, S. (2018). A discrete mathematical model for the aggregation of β-Amyloid. PLoS ONE, 13(5), 1-13. doi:10.1371/journal.pone.0196402
Publication Information
PLoS ONE
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.