A discrete mathematical model for the aggregation of β-Amyloid

Maher A. Dayeh, George Livadiotis, Saber Elaydi

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

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.

Original languageEnglish (US)
Article numbere0196402
JournalPloS one
Volume13
Issue number5
DOIs
StatePublished - May 2018
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General

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