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Statistical Mechanical Treatments of Protein Amyloid Formation
Journal article   Open access   Peer reviewed

Statistical Mechanical Treatments of Protein Amyloid Formation

John S Schreck and Jian-Min Yuan
International journal of molecular sciences, v 14(9), pp 17420-17452
23 Aug 2013
PMID: 23979423
url
https://doi.org/10.3390/ijms140917420View
Published, Version of Record (VoR) Open

Abstract

transfer matrix Review protein aggregation protein amyloid partition function statistical mechanics
Protein aggregation is an important field of investigation because it is closely related to the problem of neurodegenerative diseases, to the development of biomaterials, and to the growth of cellular structures such as cyto-skeleton. Self-aggregation of protein amyloids, for example, is a complicated process involving many species and levels of structures. This complexity, however, can be dealt with using statistical mechanical tools, such as free energies, partition functions, and transfer matrices. In this article, we review general strategies for studying protein aggregation using statistical mechanical approaches and show that canonical and grand canonical ensembles can be used in such approaches. The grand canonical approach is particularly convenient since competing pathways of assembly and dis-assembly can be considered simultaneously. Another advantage of using statistical mechanics is that numerically exact solutions can be obtained for all of the thermodynamic properties of fibrils, such as the amount of fibrils formed, as a function of initial protein concentration. Furthermore, statistical mechanics models can be used to fit experimental data when they are available for comparison.

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Web of Science research areas
Biochemistry & Molecular Biology
Chemistry, Multidisciplinary
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