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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 Laboratory (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.
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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
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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.
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@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 = {Fri Jun 01 00:00:00 EDT 2018},
month = {Fri Jun 01 00:00:00 EDT 2018}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevLett.120.248003
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Cited by: 7 works
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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
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    Works referencing / citing this record:

    Theory of mechanochemical patterning in biphasic biological tissues
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    • Proceedings of the National Academy of Sciences, Vol. 116, Issue 12
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    Minimal model of cellular symmetry breaking
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