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Population variability and temporal disorder disrupt coherent motion and biological functionality of active matter

Research output: Contribution to journalArticle

Original languageEnglish
Article number052609
Number of pages5
JournalPhysical Review E
Volume98
Issue number5
Early online date26 Nov 2018
DOIs
DateAccepted/In press - 2 Nov 2018
DateE-pub ahead of print - 26 Nov 2018
DatePublished (current) - 26 Nov 2018

Abstract

We study the effect of population variability on the collective dynamics of interacting cyclic active elements, modeled as oscillators whose frequencies are a sum of a deterministic part, identical for all elements, and a random part. The random part can vary both in amplitude and over time yielding quenched or annealed temporal disorder, as well as an intermediate regime where the noise varies over a timescale comparable to the period. In the absence of randomness, the elements synchronize in phase and spontaneous coherent motion emerges. However, if the population variability is large enough, then synchronization is lost. This transition to a nonsynchronized state is governed by properties of the tail of the population distribution that can be understood by an analysis of the properties of a random matrix. We find that collections of elements with annealed temporal disorder can tolerate, remaining functional (i.e., synchronized), higher levels of variability than the quenched cases. This places design constraints on functional synthetic biological systems in the presence of unavoidable disorder.

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    Rights statement: This is the author accepted manuscript (AAM). The final published version (version of record) is available online via APS at https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.052609 . Please refer to any applicable terms of use of the publisher.

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