Spatio-temporal patterns in growing bacterial suspensions

Abstract We present a theoretical model to explore the dynamics and phase evolution of growing bacterial suspensions. The model described by the hydrodynamic evolution of bacterial density, orientation, and fluid velocity, incorporating birth and death terms to account for colony growth. Starting fr...

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Main Authors: Pratikshya Jena, Shradha Mishra
Format: Article
Language:English
Published: Nature Portfolio 2025-08-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-025-13297-5
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author Pratikshya Jena
Shradha Mishra
author_facet Pratikshya Jena
Shradha Mishra
author_sort Pratikshya Jena
collection DOAJ
description Abstract We present a theoretical model to explore the dynamics and phase evolution of growing bacterial suspensions. The model described by the hydrodynamic evolution of bacterial density, orientation, and fluid velocity, incorporating birth and death terms to account for colony growth. Starting from a low-density regime, the system undergoes structural and dynamical transitions driven by bacterial proliferation, leading to the emergence of distinct phases: dilute, turbulent, and heterogenous. At low density, bacteria show local ordering, which transitions to clustering and eventually to a turbulent phase with spatiotemporal vortices of varying scales, as observed in dense suspensions. As density increases, orientation becomes increasingly inhomogeneous and random, indicating heterogeneity. Our findings emphasize the critical role of growth in emergence of phases, illustrating how a single system can sequentially transit through different phases over time. We provide a comprehensive understanding of the evolving patterns and behaviors within growing bacterial colonies, which makes our work different from previous studies on dense bacterial suspensions. Since the growth is generic to active system hence the current work bridges theory and experiment, offering insights into the self-organization and emergent phases in active matter systems driven by growth.
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spelling doaj-art-24beafe8e6b845a8a78d914b816fe4172025-08-24T11:26:15ZengNature PortfolioScientific Reports2045-23222025-08-0115111210.1038/s41598-025-13297-5Spatio-temporal patterns in growing bacterial suspensionsPratikshya Jena0Shradha Mishra1Department of Physics, Indian Institute of Technology (BHU)Department of Physics, Indian Institute of Technology (BHU)Abstract We present a theoretical model to explore the dynamics and phase evolution of growing bacterial suspensions. The model described by the hydrodynamic evolution of bacterial density, orientation, and fluid velocity, incorporating birth and death terms to account for colony growth. Starting from a low-density regime, the system undergoes structural and dynamical transitions driven by bacterial proliferation, leading to the emergence of distinct phases: dilute, turbulent, and heterogenous. At low density, bacteria show local ordering, which transitions to clustering and eventually to a turbulent phase with spatiotemporal vortices of varying scales, as observed in dense suspensions. As density increases, orientation becomes increasingly inhomogeneous and random, indicating heterogeneity. Our findings emphasize the critical role of growth in emergence of phases, illustrating how a single system can sequentially transit through different phases over time. We provide a comprehensive understanding of the evolving patterns and behaviors within growing bacterial colonies, which makes our work different from previous studies on dense bacterial suspensions. Since the growth is generic to active system hence the current work bridges theory and experiment, offering insights into the self-organization and emergent phases in active matter systems driven by growth.https://doi.org/10.1038/s41598-025-13297-5
spellingShingle Pratikshya Jena
Shradha Mishra
Spatio-temporal patterns in growing bacterial suspensions
Scientific Reports
title Spatio-temporal patterns in growing bacterial suspensions
title_full Spatio-temporal patterns in growing bacterial suspensions
title_fullStr Spatio-temporal patterns in growing bacterial suspensions
title_full_unstemmed Spatio-temporal patterns in growing bacterial suspensions
title_short Spatio-temporal patterns in growing bacterial suspensions
title_sort spatio temporal patterns in growing bacterial suspensions
url https://doi.org/10.1038/s41598-025-13297-5
work_keys_str_mv AT pratikshyajena spatiotemporalpatternsingrowingbacterialsuspensions
AT shradhamishra spatiotemporalpatternsingrowingbacterialsuspensions