Mode Selection in Compressible Active Flow Networks

Coherent, large-scale dynamics in many nonequilibrium physical, biological, or information transport networks are driven by small-scale local energy input. Here, we introduce and explore an analytically tractable nonlinear model for compressible active flow networks. In contrast to thermally driven...

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Main Authors: Woodhouse, Francis G., Forrow, Aden, Dunkel, Joern
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: American Physical Society 2017
Online Access:http://hdl.handle.net/1721.1/110719
https://orcid.org/0000-0001-8316-5369
https://orcid.org/0000-0001-8865-2369
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author Woodhouse, Francis G.
Forrow, Aden
Dunkel, Joern
author2 Massachusetts Institute of Technology. Department of Mathematics
author_facet Massachusetts Institute of Technology. Department of Mathematics
Woodhouse, Francis G.
Forrow, Aden
Dunkel, Joern
author_sort Woodhouse, Francis G.
collection MIT
description Coherent, large-scale dynamics in many nonequilibrium physical, biological, or information transport networks are driven by small-scale local energy input. Here, we introduce and explore an analytically tractable nonlinear model for compressible active flow networks. In contrast to thermally driven systems, we find that active friction selects discrete states with a limited number of oscillation modes activated at distinct fixed amplitudes. Using perturbation theory, we systematically predict the stationary states of noisy networks and find good agreement with a Bayesian state estimation based on a hidden Markov model applied to simulated time series data. Our results suggest that the macroscopic response of active network structures, from actomyosin force networks to cytoplasmic flows, can be dominated by a significantly reduced number of modes, in contrast to energy equipartition in thermal equilibrium. The model is also well suited to study topological sound modes and spectral band gaps in active matter.
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spelling mit-1721.1/1107192024-06-27T19:21:44Z Mode Selection in Compressible Active Flow Networks Woodhouse, Francis G. Forrow, Aden Dunkel, Joern Massachusetts Institute of Technology. Department of Mathematics Forrow, Aden Dunkel, Joern Coherent, large-scale dynamics in many nonequilibrium physical, biological, or information transport networks are driven by small-scale local energy input. Here, we introduce and explore an analytically tractable nonlinear model for compressible active flow networks. In contrast to thermally driven systems, we find that active friction selects discrete states with a limited number of oscillation modes activated at distinct fixed amplitudes. Using perturbation theory, we systematically predict the stationary states of noisy networks and find good agreement with a Bayesian state estimation based on a hidden Markov model applied to simulated time series data. Our results suggest that the macroscopic response of active network structures, from actomyosin force networks to cytoplasmic flows, can be dominated by a significantly reduced number of modes, in contrast to energy equipartition in thermal equilibrium. The model is also well suited to study topological sound modes and spectral band gaps in active matter. National Science Foundation (U.S.) (CBET-1510768) 2017-07-17T12:57:08Z 2017-07-17T12:57:08Z 2017-07 2017-06 2017-07-14T22:00:05Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/110719 Forrow, Aden; Woodhouse, Francis G. and Dunkel, Jörn. "Mode Selection in Compressible Active Flow Networks." Physical Review Letters 119, 2 (July 2017): 028102 © 2017 American Physical Society https://orcid.org/0000-0001-8316-5369 https://orcid.org/0000-0001-8865-2369 en http://dx.doi.org/10.1103/PhysRevLett.119.028102 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Woodhouse, Francis G.
Forrow, Aden
Dunkel, Joern
Mode Selection in Compressible Active Flow Networks
title Mode Selection in Compressible Active Flow Networks
title_full Mode Selection in Compressible Active Flow Networks
title_fullStr Mode Selection in Compressible Active Flow Networks
title_full_unstemmed Mode Selection in Compressible Active Flow Networks
title_short Mode Selection in Compressible Active Flow Networks
title_sort mode selection in compressible active flow networks
url http://hdl.handle.net/1721.1/110719
https://orcid.org/0000-0001-8316-5369
https://orcid.org/0000-0001-8865-2369
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