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: Forrow, A, Woodhouse, F, Dunkel, J
Format: Journal article
Language:English
Published: American Physical Society 2017
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author Forrow, A
Woodhouse, F
Dunkel, J
author_facet Forrow, A
Woodhouse, F
Dunkel, J
author_sort Forrow, A
collection OXFORD
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 oxford-uuid:6fcdf340-29c1-4977-8722-ff622a5c4e3f2022-03-26T19:33:01ZMode selection in compressible active flow networksJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6fcdf340-29c1-4977-8722-ff622a5c4e3fEnglishSymplectic Elements at OxfordAmerican Physical Society2017Forrow, AWoodhouse, FDunkel, JCoherent, 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.
spellingShingle Forrow, A
Woodhouse, F
Dunkel, J
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
work_keys_str_mv AT forrowa modeselectionincompressibleactiveflownetworks
AT woodhousef modeselectionincompressibleactiveflownetworks
AT dunkelj modeselectionincompressibleactiveflownetworks