A discrete mathematical model for the aggregation of β-Amyloid

Maher A. Dayeh; George Livadiotis; Saber Elaydi

doi:10.1371/journal.pone.0196402

A discrete mathematical model for the aggregation of β-Amyloid

Maher A. Dayeh, George Livadiotis, Saber Elaydi

Research output: Contribution to journal › Article › peer-review

21 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 language	English (US)
Article number	e0196402
Journal	PloS one
Volume	13
Issue number	5
DOIs	https://doi.org/10.1371/journal.pone.0196402
State	Published - May 2018
Externally published	Yes

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A discrete mathematical model for the aggregation of β-Amyloid

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