Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Differential Activity-Driven Instabilities in Biphasic Active Matter

Abstract

Active stresses can cause instabilities in contractile gels and living tissues. Here we provide a generic hydrodynamic theory that treats these systems as a mixture of two phases of varying activity and different mechanical properties. We find that differential activity between the phases causes a uniform mixture to undergo a demixing instability. We follow the nonlinear evolution of the instability and characterize a phase diagram of the resulting patterns. Our study complements other instability mechanisms in mixtures driven by differential adhesion, differential diffusion, differential growth, and differential motion.

Authors:
 [1];  [2];  [3]
+ Show Author Affiliations
  1. Harvard Univ., Cambridge, MA (United States). Paulson School of Engineering and Applied Sciences
  2. Harvard Univ., Cambridge, MA (United States). Paulson School of Engineering and Applied Sciences; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Mathematics Group
  3. Harvard Univ., Cambridge, MA (United States). Dept. of Physics, Dept. of Organismic and Evolutionary Biology
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1526531
Alternate Identifier(s):
OSTI ID: 1441251
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 120; Journal Issue: 24; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
59 BASIC BIOLOGICAL SCIENCES; 74 ATOMIC AND MOLECULAR PHYSICS

Citation Formats

Weber, Christoph A., Rycroft, Chris H., and Mahadevan, L. Differential Activity-Driven Instabilities in Biphasic Active Matter. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.120.248003.
Copy to clipboard
Weber, Christoph A., Rycroft, Chris H., & Mahadevan, L. Differential Activity-Driven Instabilities in Biphasic Active Matter. United States. https://doi.org/10.1103/PhysRevLett.120.248003
Copy to clipboard
Weber, Christoph A., Rycroft, Chris H., and Mahadevan, L. Fri . "Differential Activity-Driven Instabilities in Biphasic Active Matter". United States. https://doi.org/10.1103/PhysRevLett.120.248003. https://www.osti.gov/servlets/purl/1526531.
Copy to clipboard
@article{osti_1526531,
title = {Differential Activity-Driven Instabilities in Biphasic Active Matter},
author = {Weber, Christoph A. and Rycroft, Chris H. and Mahadevan, L.},
abstractNote = {Active stresses can cause instabilities in contractile gels and living tissues. Here we provide a generic hydrodynamic theory that treats these systems as a mixture of two phases of varying activity and different mechanical properties. We find that differential activity between the phases causes a uniform mixture to undergo a demixing instability. We follow the nonlinear evolution of the instability and characterize a phase diagram of the resulting patterns. Our study complements other instability mechanisms in mixtures driven by differential adhesion, differential diffusion, differential growth, and differential motion.},
doi = {10.1103/PhysRevLett.120.248003},
journal = {Physical Review Letters},
number = 24,
volume = 120,
place = {United States},
year = {2018},
month = {6}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevLett.120.248003
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

Figures / Tables:

FIG.1 FIG.1: (a,b) Stability diagrams as a function of volume fractionmore » $\phi$ and non-dimensional constant differential activity $\tilde{A}$ obtained from the linear stability analysis of Eqs. (3), for different choices of diffusivity (a) $\tilde{D}$ = 0 and (b) $\tilde{D}$ = 0:1. The colored regions depict $\mathfrak R$($ω$+) > 0. Red indicates an instability where ℑ ($ω$k) = 0, corresponding to exponential growth, while for dark (light) blue corresponds to ℑ($ω$k)≠ 0 for all wave numbers (for a finite band of wavenumbers). (c) Illustration of the instability mechanism driven by differential activity $A$($\phi$). Small perturbations in volume fraction, $\phi$0 $\rightarrow$ $\phi$0 +$δ$$\phi$, are amplified since differential activity causes a drift velocity v =$\dot{u}$ that points toward the maximum of a local inhomogeneity of volume fraction. To lowest order in q, this velocity (red horizontal arrows) scales as v $\propto$ $A$($\phi$)∂x$\phi$ (Eq. (5b)), further increasing the initial perturbation as indicated by vertical black lines.« less
All figures and tables (2 total)
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Self-Concentration and Large-Scale Coherence in Bacterial Dynamics
journal, August 2004

Pattern formation of microtubules and motors: Inelastic interaction of polar rods
journal, May 2005

Binary Mixtures of Particles with Different Diffusivities Demix
journal, February 2016

Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
journal, October 2009

  • Bertin, Eric; Droz, Michel; Grégoire, Guillaume
  • Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 44
  • DOI: 10.1088/1751-8113/42/44/445001

Kinetics of Swelling Gels
journal, January 2011

  • Keener, James P.; Sircar, Sarthok; Fogelson, Aaron L.
  • SIAM Journal on Applied Mathematics, Vol. 71, Issue 3
  • DOI: 10.1137/100796984

Instabilities and oscillations in isotropic active gels
journal, January 2011

  • Banerjee, Shiladitya; Marchetti, M. Cristina
  • Soft Matter, Vol. 7, Issue 2
  • DOI: 10.1039/C0SM00494D

Asymptotic behaviour of thin poroelastic layers
journal, April 2001

Active contraction of microtubule networks
journal, December 2015

  • Foster, Peter J.; Fürthauer, Sebastian; Shelley, Michael J.
  • eLife, Vol. 4
  • DOI: 10.7554/eLife.10837

Pattern Formation in Active Fluids
journal, January 2011

Active gels: dynamics of patterning and self-organization
journal, December 2006

Polar patterns of driven filaments
journal, September 2010

  • Schaller, Volker; Weber, Christoph; Semmrich, Christine
  • Nature, Vol. 467, Issue 7311
  • DOI: 10.1038/nature09312

Active gel model of amoeboid cell motility
journal, February 2013

Gel Dynamics
journal, May 2009

Integration of contractile forces during tissue invagination
journal, March 2010

  • Martin, Adam C.; Gelbart, Michael; Fernandez-Gonzalez, Rodrigo
  • The Journal of Cell Biology, Vol. 188, Issue 5
  • DOI: 10.1083/jcb.200910099

Critical Assessment of the Boltzmann Approach to Active Systems
journal, November 2013

Long-Range Ordering of Vibrated Polar Disks
journal, May 2013

Unusual phase separation in a polymer solution caused by asymmetric molecular dynamics
journal, November 1993

Intracellular Mechanochemical Waves in an Active Poroelastic Model
journal, March 2013

Active gel physics
journal, February 2015

  • Prost, J.; Jülicher, F.; Joanny, J-F.
  • Nature Physics, Vol. 11, Issue 2
  • DOI: 10.1038/nphys3224

A novel ciliopathic skull defect arising from excess neural crest
journal, September 2016

On Interaction between Two Bodies Immersed in a Solution of Macromolecules
journal, July 1954

  • Asakura, Sho; Oosawa, Fumio
  • The Journal of Chemical Physics, Vol. 22, Issue 7
  • DOI: 10.1063/1.1740347

Intracellular Transport by an Anchored Homogeneously Contracting F-Actin Meshwork
journal, April 2011

Planar polarized actomyosin contractile flows control epithelial junction remodelling
journal, November 2010

  • Rauzi, Matteo; Lenne, Pierre-François; Lecuit, Thomas
  • Nature, Vol. 468, Issue 7327
  • DOI: 10.1038/nature09566

Mathematical Modeling of Two-Phase Flow
journal, January 1983

Thermodynamics of High Polymer Solutions
journal, January 1942

  • Flory, Paul J.
  • The Journal of Chemical Physics, Vol. 10, Issue 1
  • DOI: 10.1063/1.1723621

Mixture theory-based poroelasticity as a model of interstitial tissue growth
journal, January 2012

Collective motion and density fluctuations in bacterial colonies
journal, July 2010

  • Zhang, H. P.; Be'er, A.; Florin, E. - L.
  • Proceedings of the National Academy of Sciences, Vol. 107, Issue 31
  • DOI: 10.1073/pnas.1001651107

Chromosome positioning from activity-based segregation
journal, January 2014

  • Ganai, Nirmalendu; Sengupta, Surajit; Menon, Gautam I.
  • Nucleic Acids Research, Vol. 42, Issue 7
  • DOI: 10.1093/nar/gkt1417

Large-scale vortex lattice emerging from collectively moving microtubules
journal, March 2012

  • Sumino, Yutaka; Nagai, Ken H.; Shitaka, Yuji
  • Nature, Vol. 483, Issue 7390
  • DOI: 10.1038/nature10874

The cytoplasm of living cells behaves as a poroelastic material
journal, January 2013

  • Moeendarbary, Emad; Valon, Léo; Fritzsche, Marco
  • Nature Materials, Vol. 12, Issue 3
  • DOI: 10.1038/nmat3517

Dynamics of poroelastic filaments
journal, July 2004

  • Skotheim, J. M.; Mahadevan, L.
  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 460, Issue 2047
  • DOI: 10.1098/rspa.2003.1270

Spontaneous Contractility-Mediated Cortical Flow Generates Cell Migration in Three-Dimensional Environments
journal, September 2011

  • Hawkins, Rhoda J.; Poincloux, Renaud; Bénichou, Olivier
  • Biophysical Journal, Vol. 101, Issue 5
  • DOI: 10.1016/j.bpj.2011.07.038

Role of particle conservation in self-propelled particle systems
journal, April 2013

Reanalysis of the hydrodynamic theory of fluid, polar-ordered flocks
journal, September 2012

Cortical instability drives periodic supracellular actin pattern formation in epithelial tubes
journal, June 2015

  • Hannezo, Edouard; Dong, Bo; Recho, Pierre
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 28
  • DOI: 10.1073/pnas.1504762112

Some Properties of Solutions of Long-chain Compounds.
journal, January 1942

  • Huggins, Maurice L.
  • The Journal of Physical Chemistry, Vol. 46, Issue 1
  • DOI: 10.1021/j150415a018

The Effects of Shape on the Interaction of Colloidal Particles
journal, May 1949

Viscoelastic phase separation
journal, March 2000

Marginal stability and traveling fronts in two-phase mixtures
journal, November 2012

Frozen steady states in active systems
journal, November 2011

  • Schaller, V.; Weber, C. A.; Hammerich, B.
  • Proceedings of the National Academy of Sciences, Vol. 108, Issue 48
  • DOI: 10.1073/pnas.1107540108

Simple 2-D models for melt extraction at mid-ocean ridges and island arcs
journal, May 1987

Swarming and Swirling in Self-Propelled Polar Granular Rods
journal, February 2008

Nonequilibrium statistical mechanics of mixtures of particles in contact with different thermostats
journal, September 2015

An Active Poroelastic Model for Mechanochemical Patterns in Protoplasmic Droplets of Physarum polycephalum
journal, June 2014

A Quantitative Analysis of Contractility in Active Cytoskeletal Protein Networks
journal, April 2008

XMDS2: Fast, scalable simulation of coupled stochastic partial differential equations
journal, January 2013

  • Dennis, Graham R.; Hope, Joseph J.; Johnsson, Mattias T.
  • Computer Physics Communications, Vol. 184, Issue 1
  • DOI: 10.1016/j.cpc.2012.08.016
    Sort by:
    [ × clear filter / sort ]

    Works referencing / citing this record:

    Theory of mechanochemical patterning in biphasic biological tissues
    journal, February 2019

    • Recho, Pierre; Hallou, Adrien; Hannezo, Edouard
    • Proceedings of the National Academy of Sciences, Vol. 116, Issue 12
    • DOI: 10.1073/pnas.1813255116

    Oscillatory motion of a droplet in an active poroelastic two-phase model
    journal, October 2018

    • Kulawiak, Dirk Alexander; Löber, Jakob; Bär, Markus
    • Journal of Physics D: Applied Physics, Vol. 52, Issue 1
    • DOI: 10.1088/1361-6463/aae41d

    Minimal Model of Cellular Symmetry Breaking
    journal, October 2019

    Active poroelastic two-phase model for the motion of physarum microplasmodia
    text, January 2019

    Theory of mechanochemical patterning in biphasic biological tissues.
    text, January 2019

    • Recho, Pierre; Hallou, Adrien; Hannezo, Edouard
    • Apollo - University of Cambridge Repository
    • DOI: 10.17863/cam.36791

    Active poroelastic two-phase model for the motion of physarum microplasmodia
    journal, August 2019

    Minimal model of cellular symmetry breaking
    preprint, January 2019

      Sort by:
      [ × clear filter / sort ]

      Figures / Tables found in this record:

      FIG.1 (p. 4)figure
      FIG. 2 (p. 5)figure
        [ × clear filter / sort ]
        Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

        Similar Records in DOE PAGES and OSTI.GOV collections: