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Modeling the impact of delay on the aggregation of ad proteins

Nutini, A; Sohail, A; Arif, R; Fiaz, M; Beg, OA

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Authors

A Nutini

A Sohail

R Arif

M Fiaz



Abstract

Accumulation of the amyloid-β (Aβ ) peptide in the brain gives rise to a cascade of key events in the pathogenesis of Alzheimer’s disease (AD). It is verified by different research trials that the sleep-wake cycle directly affects Aβ levels in the brain. The catalytic nature of amyloidosis and the protein aggregation can be understood with the help of enzyme kinetics. During this research, the chemical kinetics of the enzyme and substrate are used to explore the initiation of Alzheimer’s disease, and the associated physiological factors, such as the sleep wake cycles, related to this symptomatology. The model is based on the concentration of the Aβ fibrils, such that the resulting solution from the mathematical model may help to monitor the concentration gradients (deposition) during sleep deprivation. The model proposed here analyzes the existence of two phases in the production of amyloid fibrils in the sleep deprivation condition: a first phase in which the soluble form of amyloid Aβ is dominant and a second phase in which the fibrillar form predominates and suggests that such product is the result of a strong imbalance between the production of amyloid Aβ and its clearance. The time dependent model with delay, helps to explore the production of soluble Aβ amyloid form by a defective circadian cycle. The limitations of the time dependent model are facilitated by the artificial intelligence (AI) time series forecasting tools.

Citation

Nutini, A., Sohail, A., Arif, R., Fiaz, M., & Beg, O. (2022). Modeling the impact of delay on the aggregation of ad proteins. Annals of Data Science, https://doi.org/10.1007/s40745-022-00439-z

Journal Article Type Article
Acceptance Date Apr 9, 2022
Publication Date Sep 1, 2022
Deposit Date Sep 9, 2022
Publicly Available Date Sep 2, 2023
Journal Annals of Data Science
Print ISSN 2198-5804
Electronic ISSN 2198-5812
Publisher Springer
DOI https://doi.org/10.1007/s40745-022-00439-z
Publisher URL https://doi.org/10.1007/s40745-022-00439-z

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Mathematical modelling of protein aggregation in Alzheimer's disease with enzyme chemical kinetics





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