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Title: Modeling the relative dynamics of DNA-coated colloids

Abstract

Here, we construct a theoretical model for the dynamics of a microscale colloidal particle, modeled as an interval, moving horizontally on a DNA-coated surface, modelled as a line coated with springs that can stick to the interval. Averaging over the fast DNA dynamics leads to an evolution equation for the particle in isolation, which contains both friction and diffusion. The DNA-induced friction coefficient depends on the physical properties of the DNA, and substituting parameter values typical of a 1 μm colloid coated densely with weakly interacting DNA gives a coefficient about 100 times larger than the corresponding coefficient of hydrodynamic friction. We use a mean-field extension of the model to higher dimensions to estimate the friction tensor for a disc rotating and translating horizontally along a line. When the DNA strands are very stiff and short, the friction coefficient for the disc rolling approaches zero while the friction for the disc sliding remains large. Together, these results could have significant implications for the dynamics of DNA-coated colloids or other ligand-receptor systems, implying that DNA-induced friction between colloids can be stronger than hydrodynamic friction and should be incorporated into simulations, and that it depends nontrivially on the type of relative motion,more » possibly causing the particles to assemble into out-of-equilibrium metastable states governed by the pathways with the least friction.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]
  1. New York Univ. (NYU), NY (United States)
Publication Date:
Research Org.:
New York Univ. (NYU), NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF); Alfred P. Sloan Foundation
OSTI Identifier:
1611754
Alternate Identifier(s):
OSTI ID: 1474187
Grant/Contract Number:  
SC0012296; DMR-1420073
Resource Type:
Accepted Manuscript
Journal Name:
Soft Matter
Additional Journal Information:
Journal Volume: 14; Journal Issue: 40; Journal ID: ISSN 1744-683X
Publisher:
Royal Society of Chemistry
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; chemistry; materials science; physics; polymer science

Citation Formats

Lee-Thorp, James P., and Holmes-Cerfon, Miranda. Modeling the relative dynamics of DNA-coated colloids. United States: N. p., 2018. Web. doi:10.1039/c8sm01430b.
Lee-Thorp, James P., & Holmes-Cerfon, Miranda. Modeling the relative dynamics of DNA-coated colloids. United States. https://doi.org/10.1039/c8sm01430b
Lee-Thorp, James P., and Holmes-Cerfon, Miranda. Thu . "Modeling the relative dynamics of DNA-coated colloids". United States. https://doi.org/10.1039/c8sm01430b. https://www.osti.gov/servlets/purl/1611754.
@article{osti_1611754,
title = {Modeling the relative dynamics of DNA-coated colloids},
author = {Lee-Thorp, James P. and Holmes-Cerfon, Miranda},
abstractNote = {Here, we construct a theoretical model for the dynamics of a microscale colloidal particle, modeled as an interval, moving horizontally on a DNA-coated surface, modelled as a line coated with springs that can stick to the interval. Averaging over the fast DNA dynamics leads to an evolution equation for the particle in isolation, which contains both friction and diffusion. The DNA-induced friction coefficient depends on the physical properties of the DNA, and substituting parameter values typical of a 1 μm colloid coated densely with weakly interacting DNA gives a coefficient about 100 times larger than the corresponding coefficient of hydrodynamic friction. We use a mean-field extension of the model to higher dimensions to estimate the friction tensor for a disc rotating and translating horizontally along a line. When the DNA strands are very stiff and short, the friction coefficient for the disc rolling approaches zero while the friction for the disc sliding remains large. Together, these results could have significant implications for the dynamics of DNA-coated colloids or other ligand-receptor systems, implying that DNA-induced friction between colloids can be stronger than hydrodynamic friction and should be incorporated into simulations, and that it depends nontrivially on the type of relative motion, possibly causing the particles to assemble into out-of-equilibrium metastable states governed by the pathways with the least friction.},
doi = {10.1039/c8sm01430b},
journal = {Soft Matter},
number = 40,
volume = 14,
place = {United States},
year = {Thu Sep 20 00:00:00 EDT 2018},
month = {Thu Sep 20 00:00:00 EDT 2018}
}

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Cited by: 14 works
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Works referencing / citing this record:

Programmable interactions with biomimetic DNA linkers at fluid membranes and interfaces
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Collagen-Inspired Self-Assembly of Twisted Filaments
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