A discrete mathematical model for the aggregation of β-Amyloid

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...

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Detalles Bibliográficos
Autores principales: Dayeh, Maher A., Livadiotis, George, Elaydi, Saber
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2018
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5965829/
https://www.ncbi.nlm.nih.gov/pubmed/29791461
http://dx.doi.org/10.1371/journal.pone.0196402
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author Dayeh, Maher A.
Livadiotis, George
Elaydi, Saber
author_facet Dayeh, Maher A.
Livadiotis, George
Elaydi, Saber
author_sort Dayeh, Maher A.
collection PubMed
description 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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spelling pubmed-59658292018-06-02 A discrete mathematical model for the aggregation of β-Amyloid Dayeh, Maher A. Livadiotis, George Elaydi, Saber PLoS One Research Article 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. Public Library of Science 2018-05-23 /pmc/articles/PMC5965829/ /pubmed/29791461 http://dx.doi.org/10.1371/journal.pone.0196402 Text en © 2018 Dayeh et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Dayeh, Maher A.
Livadiotis, George
Elaydi, Saber
A discrete mathematical model for the aggregation of β-Amyloid
title A discrete mathematical model for the aggregation of β-Amyloid
title_full A discrete mathematical model for the aggregation of β-Amyloid
title_fullStr A discrete mathematical model for the aggregation of β-Amyloid
title_full_unstemmed A discrete mathematical model for the aggregation of β-Amyloid
title_short A discrete mathematical model for the aggregation of β-Amyloid
title_sort discrete mathematical model for the aggregation of β-amyloid
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5965829/
https://www.ncbi.nlm.nih.gov/pubmed/29791461
http://dx.doi.org/10.1371/journal.pone.0196402
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