The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Nucleated polymerization with secondary pathways. II. Determination of self-consistent solutions to growth processes described by non-linear master equations
Open accessAbstract
Nucleated polymerisation processes are involved in many growth phenomena in nature, including the formation of cytoskeletal filaments and the assembly of sickle hemoglobin and amyloid fibrils. Closed form rate equations have, however, been challenging to derive for these growth phenomena in cases where secondary nucleation processes are active, a difficulty exemplified by the highly non-linear nature of the equation systems that describe monomer dependent secondary nucleation pathways. We explore here the use of fixed point analysis to provide self-consistent solutions to such growth problems. We present iterative solutions and discuss their convergence behaviour. We establish a range of closed form results for linear growth processes, including the scaling behaviours of the maximum growth rate and of the reaction end-point. We further show that a self-consistent approach applied to the master equation of filamentous growth allows the determination of the evolution of the shape of the length distribution including the mean, the standard deviation, and the mode. Our results highlight the power of fixed-point approaches in finding closed form self-consistent solutions to growth problems characterised by the highly non-linear master equations.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
The Amyloid Hypothesis of Alzheimer’s Disease: Progress and Problems on the Road to Therapeutics
Hardy, J., & Selkoe, D. J. (2002) · Science · doi:10.1126/science.1072994 · Cited by 13,864
Protein folding and misfolding
Dobson, C. M. (2003) · Nature · doi:10.1038/nature02261 · Cited by 4,791
Self-citation
Cited by
Proliferation of amyloid-β42 aggregates occurs through a secondary nucleation mechanism
Cohen, S. I. A., Linse, S., Luheshi, L. M., Hellstrand, E., White, D. A., Rajah, L., Otzen, D. E., Vendruscolo, M., Dobson, C. M., & Knowles, T. P. J. (2013) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1218402110 · Cited by 1,440
Self-citationMolecular mechanisms of protein aggregation from global fitting of kinetic models
Meisl, G., Kirkegaard, J. B., Arosio, P., Michaels, T. C. T., Vendruscolo, M., Dobson, C. M., Linse, S., & Knowles, T. P. J. (2016) · Nature Protocols · doi:10.1038/nprot.2016.010 · Cited by 767
Self-citationA molecular chaperone breaks the catalytic cycle that generates toxic Aβ oligomers
Cohen, S. I. A., Arosio, P., Presto, J., Kurudenkandy, F. R., Biverstål, H., Dolfe, L., Dunning, C., Yang, X., Frohm, B., Vendruscolo, M., et al. (2015) · Nature Structural & Molecular Biology · doi:10.1038/nsmb.2971 · Cited by 414
Self-citationArosio, P., Michaels, T. C. T., Linse, S., Månsson, C., Emanuelsson, C., Presto, J., Johansson, J., Vendruscolo, M., Dobson, C. M., & Knowles, T. P. J. (2016) · Nature Communications · doi:10.1038/ncomms10948 · Cited by 265
Self-citationHenry, E. R., Cellmer, T., Dunkelberger, E. B., Metaferia, B., Hofrichter, J., Li, Q., Ostrowski, D., Ghirlando, R., Louis, J. M., Moutereau, S., et al. (2020) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1922004117 · Cited by 65
Metadata
- Authors
- Cohen, S. I. A., Vendruscolo, M., Dobson, C. M., & Knowles, T. P. J.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 2011-08-12
- Volume
- 135
- Issue
- 6
- Pages
- 065106-065106
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2042214383
- Cited by
- 209
- References
- 2
- FWCI
- 9.17
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
