A discrete mathematical model for the aggregation of β-Amyloid.
basic_science · Level V
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- Record sourced from PubMed, PMID 29791461.
- Also identified by DOI 10.1371/journal.pone.0196402 and PMC identifier 5965829.
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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.
Medical subject headings
- Amyloid beta-Peptides
- Protein Aggregates
- Protein Aggregation, Pathological