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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American Physical Society
2017
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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. |
first_indexed | 2024-09-23T15:10:58Z |
format | Article |
id | mit-1721.1/110719 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T15:10:58Z |
publishDate | 2017 |
publisher | American Physical Society |
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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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