Stochastic master equation for early protein aggregation in the transthyretin amyloid disease

Abstract It is significant to understand the earliest molecular events occurring in the nucleation of the amyloid aggregation cascade for the prevention of amyloid related diseases such as transthyretin amyloid disease. We develop chemical master equation for the aggregation of monomers into oligome...

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Autores principales: Ruo-Nan Liu, Yan-Mei Kang
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Lenguaje:EN
Publicado: Nature Portfolio 2020
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Acceso en línea:https://doaj.org/article/fdada9857a73460eb14fb984d9f8549b
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spelling oai:doaj.org-article:fdada9857a73460eb14fb984d9f8549b2021-12-02T17:55:13ZStochastic master equation for early protein aggregation in the transthyretin amyloid disease10.1038/s41598-020-69319-x2045-2322https://doaj.org/article/fdada9857a73460eb14fb984d9f8549b2020-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-69319-xhttps://doaj.org/toc/2045-2322Abstract It is significant to understand the earliest molecular events occurring in the nucleation of the amyloid aggregation cascade for the prevention of amyloid related diseases such as transthyretin amyloid disease. We develop chemical master equation for the aggregation of monomers into oligomers using reaction rate law in chemical kinetics. For this stochastic model, lognormal moment closure method is applied to track the evolution of relevant statistical moments and its high accuracy is confirmed by the results obtained from Gillespie’s stochastic simulation algorithm. Our results show that the formation of oligomers is highly dependent on the number of monomers. Furthermore, the misfolding rate also has an important impact on the process of oligomers formation. The quantitative investigation should be helpful for shedding more light on the mechanism of amyloid fibril nucleation.Ruo-Nan LiuYan-Mei KangNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-9 (2020)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Ruo-Nan Liu
Yan-Mei Kang
Stochastic master equation for early protein aggregation in the transthyretin amyloid disease
description Abstract It is significant to understand the earliest molecular events occurring in the nucleation of the amyloid aggregation cascade for the prevention of amyloid related diseases such as transthyretin amyloid disease. We develop chemical master equation for the aggregation of monomers into oligomers using reaction rate law in chemical kinetics. For this stochastic model, lognormal moment closure method is applied to track the evolution of relevant statistical moments and its high accuracy is confirmed by the results obtained from Gillespie’s stochastic simulation algorithm. Our results show that the formation of oligomers is highly dependent on the number of monomers. Furthermore, the misfolding rate also has an important impact on the process of oligomers formation. The quantitative investigation should be helpful for shedding more light on the mechanism of amyloid fibril nucleation.
format article
author Ruo-Nan Liu
Yan-Mei Kang
author_facet Ruo-Nan Liu
Yan-Mei Kang
author_sort Ruo-Nan Liu
title Stochastic master equation for early protein aggregation in the transthyretin amyloid disease
title_short Stochastic master equation for early protein aggregation in the transthyretin amyloid disease
title_full Stochastic master equation for early protein aggregation in the transthyretin amyloid disease
title_fullStr Stochastic master equation for early protein aggregation in the transthyretin amyloid disease
title_full_unstemmed Stochastic master equation for early protein aggregation in the transthyretin amyloid disease
title_sort stochastic master equation for early protein aggregation in the transthyretin amyloid disease
publisher Nature Portfolio
publishDate 2020
url https://doaj.org/article/fdada9857a73460eb14fb984d9f8549b
work_keys_str_mv AT ruonanliu stochasticmasterequationforearlyproteinaggregationinthetransthyretinamyloiddisease
AT yanmeikang stochasticmasterequationforearlyproteinaggregationinthetransthyretinamyloiddisease
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