ArticleApplied mathematics letters2015
A Study in Nucleated Polymerization Models of Protein Aggregation.
Article in Applied mathematics letters, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed.
- Protein Aggregation Landscape in Neurodegenerative Diseases: Clinical Relevance and Future Applications.International journal of molecular sciences · 2021Review
- Generalizing a mathematical model of prion aggregation allows strain coexistence and co-stability by including a novel misfolded species.Journal of mathematical biology · 2019Article
- Mathematical Modeling of Protein Misfolding Mechanisms in Neurological Diseases: A Historical Overview.Frontiers in neurology · 2018Review
- A mathematical model of the dynamics of prion aggregates with chaperone-mediated fragmentation.Journal of mathematical biology · 2016Article
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2 authors.
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Abstract
The nucleated polymerization model is a mathematical framework that has been applied to aggregation and fragmentation processes in both the discrete and continuous setting. In particular, this model has been the canonical framework for analyzing the dynamics of protein aggregates arising in prion and amyloid diseases such as as Alzheimer's and Parkinson's disease. We present an explicit steady-state solution to the aggregate size distribution governed by the discrete nucleated polymerization equations. Steady-state solutions have been previously obtained under the assumption of continuous aggregate sizes; however, the discrete solution allows for direct computation and parameter inference, as well as facilitates estimates on the accuracy of the continuous approximation.
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