DOI: 10.1126/science.1178250. An Analytical Solution to the Kinetics of Breakable Filament Assembly

An Analytical Solution to the Kinetics of Breakable Filament Assembly

10.1126/science.1178250

Crossref journal-article

American Association for the Advancement of Science (AAAS)

Science (221)

Abstract

Dissecting Amyloid Formation Amyloid fibrils are associated with clinical disorders ranging from Alzheimer's disease to type II diabetes. Their self-assembly can be described by a master equation that takes into account nucleation-dependent polymerization and fragmentation. Knowles et al. (p. 1533 ) now present an analytical solution to the master equation, which shows that amyloid growth kinetics is often limited by the fragmentation rate rather than by the rate of primary nucleation. In addition, the results reveal relationships between system properties (scaling laws) that provide mechanistic insight not only into amyloid growth, but also into related self-assembly processes.

Bibliography

Knowles, T. P. J., Waudby, C. A., Devlin, G. L., Cohen, S. I. A., Aguzzi, A., Vendruscolo, M., Terentjev, E. M., Welland, M. E., & Dobson, C. M. (2009). An Analytical Solution to the Kinetics of Breakable Filament Assembly. Science, 326(5959), 1533â1537.

Authors 9

Tuomas P. J. Knowles (first)
Christopher A. Waudby (additional)
Glyn L. Devlin (additional)
Samuel I. A. Cohen (additional)
Adriano Aguzzi (additional)
Michele Vendruscolo (additional)
Eugene M. Terentjev (additional)
Mark E. Welland (additional)
Christopher M. Dobson (additional)

References 28 Referenced 1,015

10.1126/science.1962191
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10.1016/0092-8674(93)90635-4
10.1073/pnas.0703306104
A. Granas J. Dugundji Fixed Point Theory (Springer-Verlag 2003). (10.1007/978-0-387-21593-8)
10.1110/ps.073127808
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10.1073/pnas.1333907100
F. Oosawa S. Asakura Thermodynamics of the Polymerization of Protein (Academic Press New York 1975).
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10.1016/S0022-2836(03)00249-3
10.1038/nsmb.1570
10.1002/ana.410110406
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10.1021/jp710131u
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Dates

Type	When
Created	15 years, 8 months ago (Dec. 10, 2009, 5:53 p.m.)
Deposited	1 year, 7 months ago (Jan. 10, 2024, 3:27 a.m.)
Indexed	1 day ago (Aug. 31, 2025, 7:32 p.m.)
Issued	15 years, 8 months ago (Dec. 11, 2009)
Published	15 years, 8 months ago (Dec. 11, 2009)
Published Print	15 years, 8 months ago (Dec. 11, 2009)

Funders 0

None

BibTeX

@article{Knowles_2009, title={An Analytical Solution to the Kinetics of Breakable Filament Assembly}, volume={326}, ISSN={1095-9203}, url={http://dx.doi.org/10.1126/science.1178250}, DOI={10.1126/science.1178250}, number={5959}, journal={Science}, publisher={American Association for the Advancement of Science (AAAS)}, author={Knowles, Tuomas P. J. and Waudby, Christopher A. and Devlin, Glyn L. and Cohen, Samuel I. A. and Aguzzi, Adriano and Vendruscolo, Michele and Terentjev, Eugene M. and Welland, Mark E. and Dobson, Christopher M.}, year={2009}, month=dec, pages={1533–1537} }

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