» Articles » PMID: 6652219

Length Dependence of Rate Constants for End-to-end Association and Dissociation of Equilibrium Linear Aggregates

Overview
Journal Biophys J
Publisher Cell Press
Specialty Biophysics
Date 1983 Nov 1
PMID 6652219
Citations 29
Authors
Affiliations
Soon will be listed here.
Abstract

A semi-quantitative analysis is given of the length dependence of the rate constant for association (annealing) of two long linear aggregates in solution. The equilibrium constant for this process, or its inverse (fragmentation or dissociation), is relatively easy to formulate from appropriate partition functions. From these two ingredients, the length dependence of the rate constant for spontaneous fragmentation can be deduced. Numerical examples are included.

Citing Articles

Simultaneously Measured Kinetics of Two Amyloid Polymorphs Using Cross Peak Specific 2D IR Spectroscopy.

Farrell K, Fields C, Dicke S, Zanni M J Phys Chem Lett. 2023; 14(51):11750-11757.

PMID: 38117179 PMC: 11163371. DOI: 10.1021/acs.jpclett.3c02698.


A general mathematical model for the in vitro assembly dynamics of intermediate filament proteins.

Mucke N, Wocjan T, Jacquier M, Herrmann H, Portet S Biophys J. 2022; 121(6):1094-1104.

PMID: 35124070 PMC: 8943748. DOI: 10.1016/j.bpj.2022.02.001.


Illuminating amyloid fibrils: Fluorescence-based single-molecule approaches.

Rice L, Ecroyd H, van Oijen A Comput Struct Biotechnol J. 2021; 19:4711-4724.

PMID: 34504664 PMC: 8405898. DOI: 10.1016/j.csbj.2021.08.017.


Insights into the dynamic trajectories of protein filament division revealed by numerical investigation into the mathematical model of pure fragmentation.

Tournus M, Escobedo M, Xue W, Doumic M PLoS Comput Biol. 2021; 17(9):e1008964.

PMID: 34478445 PMC: 8462728. DOI: 10.1371/journal.pcbi.1008964.


Polymer-Peptide Conjugates Convert Amyloid into Protein Nanobundles through Fragmentation and Lateral Association.

Smith J, Jiang X, An H, Barclay A, Licari G, Tajkhorshid E ACS Appl Nano Mater. 2020; 3(2):937-945.

PMID: 32149271 PMC: 7059651. DOI: 10.1021/acsanm.9b01331.


References
1.
Nakaoka Y, Kasai M . Behaviour of sonicated actin polymers: adenosine triphosphate splitting and polymerization. J Mol Biol. 1969; 44(2):319-32. DOI: 10.1016/0022-2836(69)90178-8. View

2.
Hill T . Effect of rotation on the diffusion-controlled rate of ligand-protein association. Proc Natl Acad Sci U S A. 1975; 72(12):4918-22. PMC: 388844. DOI: 10.1073/pnas.72.12.4918. View

3.
Hill T . Diffusion frequency factors in some simple examples of transition-state rate theory. Proc Natl Acad Sci U S A. 1976; 73(3):679-83. PMC: 335981. DOI: 10.1073/pnas.73.3.679. View

4.
Kondo H, Ishiwata S . Uni-directional growth of F-actin. J Biochem. 1976; 79(1):159-71. DOI: 10.1093/oxfordjournals.jbchem.a131043. View

5.
Hill T . Bioenergetic aspects and polymer length distribution in steady-state head-to-tail polymerization of actin or microtubules. Proc Natl Acad Sci U S A. 1980; 77(8):4803-7. PMC: 349935. DOI: 10.1073/pnas.77.8.4803. View