A first-passage approach to the thermal breakage of a discrete one-dimensional chain

Soft Matter
Mohammadhosein RazbinAli Akbar Moosavi-Movahedi

Abstract

Using the first passage method for a Markov process, we theoretically study the fragmentation rate of a discrete one-dimensional chain (Rouse model). The fragmentation occurs due to thermal fluctuations. Assuming equilibrium initial conditions, we obtain an expression for the fragmentation rate of the one-dimensional filament as a function of the number of monomers, the position of the breaking point along the filament, the ratio of the bond energy to the thermal energy, and the Rouse relaxation time. We also obtain the fragmentation rate for a fixed initial configuration of the chain by numerically solving a Volterra equation. Our results reduce to those of previous theoretical studies at the appropriate limits, and spell out the role of the relevant time scales. The prediction of our model for the fragmentation rate of insulin fibrils under optimal growth conditions for the solution appears to be consistent with experimental data from other studies.

References

Mar 14, 2003·Physical Review Letters·I M Sokolov
Apr 4, 2003·Proceedings of the National Academy of Sciences of the United States of America·Thomas ScheibelSusan L Lindquist
Dec 4, 2003·Biophysical Journal·Thorsten PöschelCornelius Frömmel
Jun 29, 2004·The European Physical Journal. E, Soft Matter·J KierfeldR Lipowsky
Sep 24, 2004·PLoS Biology·Sean R CollinsJonathan S Weissman
Jul 29, 2005·Nature·Natàlia CarullaChristopher M Dobson
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K C KunesR R P Singh
Jun 8, 2006·Annual Review of Biochemistry·Fabrizio Chiti, Christopher M Dobson
Oct 14, 2006·Proceedings of the National Academy of Sciences of the United States of America·Jeffrey F SmithMark E Welland
Dec 13, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Anirban SainMartin Grant
Jun 27, 2008·Proceedings of the National Academy of Sciences of the United States of America·Wei-Feng XueSheena E Radford
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Chiu Fan Lee
Dec 17, 2009·Science·Tuomas P J KnowlesChristopher M Dobson
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S Fugmann, I M Sokolov
Aug 2, 2011·Nature Nanotechnology·Tuomas P J Knowles, Markus J Buehler
May 24, 2014·Nature Reviews. Molecular Cell Biology·Tuomas P J KnowlesChristopher M Dobson
Dec 4, 2014·ACS Nano·Ulyana ShimanovichTuomas P J Knowles
Mar 20, 2015·Chemical Reviews·Jessica Nasica-LabouzePhilippe Derreumaux
Mar 21, 2015·The Journal of Physical Chemistry. B·Lucrèce NicoudMassimo Morbidelli
Mar 23, 2015·The Journal of Chemical Physics·A ZacconeE M Terentjev
May 9, 2015·Biophysical Journal·Jason M D KalapothakisCait E MacPhee
Mar 4, 2017·Biophysical Journal·Guillaume LamourJörg A Gsponer
May 13, 2017·Annual Review of Biochemistry·Fabrizio Chiti, Christopher M Dobson

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Citations

Jan 1, 2021·The Journal of Chemical Physics·Mohammadhosein RazbinKavoos Mirabbaszadeh

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