ArticlePloS one2018
A discrete mathematical model for the aggregation of β-Amyloid.
Article in PloS one, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Recent Development in the Understanding of Molecular and Cellular Mechanisms Underlying the Etiopathogenesis of Alzheimer's Disease.International journal of molecular sciences · 2023Review
- Aggregation controlled by condensate rheology.Biophysical journal · 2023Article
- Amyloid seeding as a disease mechanism and treatment target in transthyretin cardiac amyloidosis.Heart failure reviews · 2022Review
- Mechanisms of phosphatidylserine influence on viral production: A computational model of Ebola virus matrix protein assembly.The Journal of biological chemistry · 2022Article
- Quantitative systems pharmacology model for Alzheimer's disease to predict the effect of aducanumab on brain amyloid.CPT: pharmacometrics & systems pharmacology · 2022Article
- Modulating neuroinflammation in neurodegeneration-related dementia: can microglial toll-like receptors pull the plug?Metabolic brain disease · 2021Review
- Mathematical Model Shows How Sleep May Affect Amyloid-β Fibrillization.Biophysical journal · 2020Article
- Stochastic master equation for early protein aggregation in the transthyretin amyloid disease.Scientific reports · 2020Article
- Effects of Cholesterol in Stress-Related Neuronal Death-A Statistical Analysis Perspective.International journal of molecular sciences · 2020Article
- Statistical analysis of the impact of environmental temperature on the exponential growth rate of cases infected by COVID-19.PloS one · 2020Article
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Authors and funding
3 authors.
Funding
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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.
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