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Title: Dynamic cross-correlations between entangled biofilaments as they diffuse

Abstract

Entanglement in polymer and biological physics involves a state in which linear interthreaded macromolecules in isotropic liquids diffuse in a spatially anisotropic manner beyond a characteristic mesoscopic time and length scale (tube diameter). The physical reason is that linear macromolecules become transiently localized in directions transverse to their backbone but diffuse with relative ease parallel to it. Within the resulting broad spectrum of relaxation times there is an extended period before the longest relaxation time when filaments occupy a time-averaged cylindrical space of near-constant density. Here we show its implication with experiments based on fluorescence tracking of dilutely labeled macromolecules. The entangled pairs of aqueous F-actin biofilaments diffuse with separation-dependent dynamic cross-correlations that exceed those expected from continuum hydrodynamics up to strikingly large spatial distances of ≈15 µm, which is more than 10 4 times the size of the solvent water molecules in which they are dissolved, and is more than 50 times the dynamic tube diameter, but is almost equal to the filament length. Modeling this entangled system as a collection of rigid rods, we present a statistical mechanical theory that predicts these long-range dynamic correlations as an emergent consequence of an effective long-range interpolymer repulsion due to themore » de Gennes correlation hole, which is a combined consequence of chain connectivity and uncrossability. The key physical assumption needed to make theory and experiment agree is that solutions of entangled biofilaments localized in tubes that are effectively dynamically incompressible over the relevant intermediate time and length scales.« less

Authors:
 [1];  [1];  [2];  [3];  [4]
  1. Univ. of Illinois, Urbana, IL (United States). Dept. of Physics
  2. Jinan Univ., Guangzhou (China). Dept. of Materials Science and Engineering
  3. Univ. of Illinois, Urbana, IL (United States). Dept. of Materials Science. Dept. of Chemistry
  4. Ulsan National Inst. of Science and Technology (UNIST) (Korea, Republic of). IBS Center for Soft and Living Matter
Publication Date:
Research Org.:
Univ. of Illinois at Urbana-Champaign, IL (United States); Ulsan National Inst. of Science and Technology (UNIST) (Korea, Republic of)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); Inst. for Basic Science (IBS) (Korea, Republic of)
OSTI Identifier:
1346579
Alternate Identifier(s):
OSTI ID: 1465692
Grant/Contract Number:  
FG02-07ER46471; FG02-02ER46019; IBS-R020-D1
Resource Type:
Journal Article: Published Article
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Volume: 114; Journal Issue: 13; Journal ID: ISSN 0027-8424
Publisher:
National Academy of Sciences, Washington, DC (United States)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; entangled; cross-correlation; biofilament; reptation; imaging

Citation Formats

Tsang, Boyce, Dell, Zachary E., Jiang, Lingxiang, Schweizer, Kenneth S., and Granick, Steve. Dynamic cross-correlations between entangled biofilaments as they diffuse. United States: N. p., 2017. Web. doi:10.1073/pnas.1620935114.
Tsang, Boyce, Dell, Zachary E., Jiang, Lingxiang, Schweizer, Kenneth S., & Granick, Steve. Dynamic cross-correlations between entangled biofilaments as they diffuse. United States. doi:10.1073/pnas.1620935114.
Tsang, Boyce, Dell, Zachary E., Jiang, Lingxiang, Schweizer, Kenneth S., and Granick, Steve. Fri . "Dynamic cross-correlations between entangled biofilaments as they diffuse". United States. doi:10.1073/pnas.1620935114.
@article{osti_1346579,
title = {Dynamic cross-correlations between entangled biofilaments as they diffuse},
author = {Tsang, Boyce and Dell, Zachary E. and Jiang, Lingxiang and Schweizer, Kenneth S. and Granick, Steve},
abstractNote = {Entanglement in polymer and biological physics involves a state in which linear interthreaded macromolecules in isotropic liquids diffuse in a spatially anisotropic manner beyond a characteristic mesoscopic time and length scale (tube diameter). The physical reason is that linear macromolecules become transiently localized in directions transverse to their backbone but diffuse with relative ease parallel to it. Within the resulting broad spectrum of relaxation times there is an extended period before the longest relaxation time when filaments occupy a time-averaged cylindrical space of near-constant density. Here we show its implication with experiments based on fluorescence tracking of dilutely labeled macromolecules. The entangled pairs of aqueous F-actin biofilaments diffuse with separation-dependent dynamic cross-correlations that exceed those expected from continuum hydrodynamics up to strikingly large spatial distances of ≈15 µm, which is more than 104 times the size of the solvent water molecules in which they are dissolved, and is more than 50 times the dynamic tube diameter, but is almost equal to the filament length. Modeling this entangled system as a collection of rigid rods, we present a statistical mechanical theory that predicts these long-range dynamic correlations as an emergent consequence of an effective long-range interpolymer repulsion due to the de Gennes correlation hole, which is a combined consequence of chain connectivity and uncrossability. The key physical assumption needed to make theory and experiment agree is that solutions of entangled biofilaments localized in tubes that are effectively dynamically incompressible over the relevant intermediate time and length scales.},
doi = {10.1073/pnas.1620935114},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 13,
volume = 114,
place = {United States},
year = {Fri Mar 10 00:00:00 EST 2017},
month = {Fri Mar 10 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1073/pnas.1620935114

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Works referenced in this record:

Macromolecular Crowding and Confinement: Biochemical, Biophysical, and Potential Physiological Consequences
journal, June 2008