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Krishnamurthy D, Li H, Benoit du Rey F, Cambournac P, Larson AG, Li E, Prakash M. Scale-free vertical tracking microscopy. Nat Methods 2020; 17:1040-1051. [PMID: 32807956 DOI: 10.1038/s41592-020-0924-7] [Citation(s) in RCA: 16] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/06/2020] [Accepted: 07/14/2020] [Indexed: 11/09/2022]
Abstract
The behavior and microscale processes associated with freely suspended organisms, along with sinking particles underlie key ecological processes in the ocean. Mechanistically studying such multiscale processes in the laboratory presents a considerable challenge for microscopy: how to measure single cells at microscale resolution, while allowing them to freely move hundreds of meters in the vertical direction? Here we present a solution in the form of a scale-free, vertical tracking microscope, based on a 'hydrodynamic treadmill' with no bounds for motion along the axis of gravity. Using this method to bridge spatial scales, we assembled a multiscale behavioral dataset of nonadherent planktonic cells and organisms. Furthermore, we demonstrate a 'virtual-reality system for single cells', wherein cell behavior directly controls its ambient environmental parameters, enabling quantitative behavioral assays. Our method and results exemplify a new paradigm of multiscale measurement, wherein one can observe and probe macroscale and ecologically relevant phenomena at microscale resolution. Beyond the marine context, we foresee that our method will allow biological measurements of cells and organisms in a suspended state by freeing them from the confines of the coverslip.
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Affiliation(s)
- Deepak Krishnamurthy
- Department of Mechanical Engineering, Stanford University, Stanford, CA, USA.,Department of Bioengineering, Stanford University, Stanford, CA, USA
| | - Hongquan Li
- Department of Bioengineering, Stanford University, Stanford, CA, USA.,Department of Electrical Engineering, Stanford University, Stanford, CA, USA
| | | | - Pierre Cambournac
- Department of Bioengineering, Stanford University, Stanford, CA, USA
| | - Adam G Larson
- Department of Bioengineering, Stanford University, Stanford, CA, USA
| | - Ethan Li
- Department of Bioengineering, Stanford University, Stanford, CA, USA
| | - Manu Prakash
- Department of Bioengineering, Stanford University, Stanford, CA, USA.
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52
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Jing G, Zöttl A, Clément É, Lindner A. Chirality-induced bacterial rheotaxis in bulk shear flows. SCIENCE ADVANCES 2020; 6:eabb2012. [PMID: 32695880 PMCID: PMC7351478 DOI: 10.1126/sciadv.abb2012] [Citation(s) in RCA: 17] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/12/2020] [Accepted: 05/28/2020] [Indexed: 05/06/2023]
Abstract
Interaction of swimming bacteria with flows controls their ability to explore complex environments, crucial to many societal and environmental challenges and relevant for microfluidic applications such as cell sorting. Combining experimental, numerical, and theoretical analysis, we present a comprehensive study of the transport of motile bacteria in shear flows. Experimentally, we obtain with high accuracy and, for a large range of flow rates, the spatially resolved velocity and orientation distributions. They are in excellent agreement with the simulations of a kinematic model accounting for stochastic and microhydrodynamic properties and, in particular, the flagella chirality. Theoretical analysis reveals the scaling laws behind the average rheotactic velocity at moderate shear rates using a chirality parameter and explains the reorientation dynamics leading to saturation at large shear rates from the marginal stability of a fixed point. Our findings constitute a full understanding of the physical mechanisms and relevant parameters of bacteria bulk rheotaxis.
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Affiliation(s)
- Guangyin Jing
- School of Physics, Northwest University, Xi’an 710127, China
- Physique et Mécanique des Milieux Hétèrogènes, PMMH, ESPCI Paris, PSL University, CNRS, Sorbonne Université, Université de Paris, 10, rue Vauquelin, 75005 Paris, France
| | - Andreas Zöttl
- Physique et Mécanique des Milieux Hétèrogènes, PMMH, ESPCI Paris, PSL University, CNRS, Sorbonne Université, Université de Paris, 10, rue Vauquelin, 75005 Paris, France
- Institute for Theoretical Physics, TU Wien, Wiedner Hauptstraße 8-10, 1040 Wien, Austria
| | - Éric Clément
- Physique et Mécanique des Milieux Hétèrogènes, PMMH, ESPCI Paris, PSL University, CNRS, Sorbonne Université, Université de Paris, 10, rue Vauquelin, 75005 Paris, France
| | - Anke Lindner
- Physique et Mécanique des Milieux Hétèrogènes, PMMH, ESPCI Paris, PSL University, CNRS, Sorbonne Université, Université de Paris, 10, rue Vauquelin, 75005 Paris, France
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53
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Deng J, Molaei M, Chisholm NG, Stebe KJ. Motile Bacteria at Oil-Water Interfaces: Pseudomonas aeruginosa. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2020; 36:6888-6902. [PMID: 32097012 DOI: 10.1021/acs.langmuir.9b03578] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Bacteria are important examples of active or self-propelled colloids. Because of their directed motion, they accumulate near interfaces. There, they can become trapped and swim adjacent to the interface via hydrodynamic interactions, or they can adsorb directly and swim in an adhered state with complex trajectories that differ from those in bulk in both form and spatiotemporal implications. We have adopted the monotrichous bacterium Pseudomonas aeruginosa PA01 as a model species and have studied its motion at oil-aqueous interfaces. We have identified conditions in which bacteria swim persistently without restructuring the interface, allowing detailed and prolonged study of their motion. In addition to characterizing the ensemble behavior of the bacteria, we have observed a gallery of distinct trajectories of individual swimmers on and near fluid interfaces. We attribute these diverse swimming behaviors to differing trapped states for the bacteria in the fluid interface. These trajectory types include Brownian diffusive paths for passive adsorbed bacteria, curvilinear trajectories including curly paths with radii of curvature larger than the cell body length, and rapid pirouette motions with radii of curvature comparable to the cell body length. Finally, we see interfacial visitors that come and go from the interfacial plane. We characterize these individual swimmer motions. This work may impact nutrient cycles for bacteria on or near interfaces in nature. This work will also have implications in microrobotics, as active colloids in general and bacteria in particular are used to carry cargo in this burgeoning field. Finally, these results have implications in engineering of active surfaces that exploit interfacially trapped self-propelled colloids.
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Affiliation(s)
- Jiayi Deng
- Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, United States
| | - Mehdi Molaei
- Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, United States
| | - Nicholas G Chisholm
- Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, United States
| | - Kathleen J Stebe
- Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, United States
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54
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Shabanniya MR, Naji A. Active dipolar spheroids in shear flow and transverse field: Population splitting, cross-stream migration, and orientational pinning. J Chem Phys 2020; 152:204903. [PMID: 32486664 DOI: 10.1063/5.0002757] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023] Open
Abstract
We study the steady-state behavior of active, dipolar, Brownian spheroids in a planar channel subjected to an imposed Couette flow and an external transverse field, applied in the "downward" normal-to-flow direction. The field-induced torque on active spheroids (swimmers) is taken to be of magnetic form by assuming that they have a permanent magnetic dipole moment, pointing along their self-propulsion (swim) direction. Using a continuum approach, we show that a host of behaviors emerges over the parameter space spanned by the particle aspect ratio, self-propulsion and shear/field strengths, and the channel width. The cross-stream migration of the model swimmers is shown to involve a regime of linear response (quantified by a linear-response factor) in weak fields. For prolate swimmers, the weak-field behavior crosses over to a regime of full swimmer migration to the bottom half of the channel in strong fields. For oblate swimmers, a counterintuitive regime of reverse migration arises in intermediate fields, where a macroscopic fraction of swimmers reorient and swim to the top channel half at an acute "upward" angle relative to the field axis. The diverse behaviors reported here are analyzed based on the shear-induced population splitting (bimodality) of the swim orientation, giving two distinct, oppositely polarized, swimmer subpopulations (albeit very differently for prolate/oblate swimmers) in each channel half. In strong fields, swimmers of both types exhibit net upstream currents relative to the laboratory frame. The onsets of full migration and net upstream current depend on the aspect ratio, enabling efficient particle separation strategies in microfluidic setups.
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Affiliation(s)
- Mohammad Reza Shabanniya
- School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran
| | - Ali Naji
- School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran
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55
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Bioinspired reorientation strategies for application in micro/nanorobotic control. JOURNAL OF MICRO-BIO ROBOTICS 2020. [DOI: 10.1007/s12213-020-00130-7] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
Abstract
AbstractEngineers have recently been inspired by swimming methodologies of microorganisms in creating micro-/nanorobots for biomedical applications. Future medicine may be revolutionized by the application of these small machines in diagnosing, monitoring, and treating diseases. Studies over the past decade have often concentrated on propulsion generation. However, there are many other challenges to address before the practical use of robots at the micro-/nanoscale. The control and reorientation ability of such robots remain as some of these challenges. This paper reviews the strategies of swimming microorganisms for reorientation, including tumbling, reverse and flick, direction control of helical-path swimmers, by speed modulation, using complex flagella, and the help of mastigonemes. Then, inspired by direction change in microorganisms, methods for orientation control for microrobots and possible directions for future studies are discussed. Further, the effects of solid boundaries on the swimming trajectories of microorganisms and microrobots are examined. In addition to propulsion systems for artificial microswimmers, swimming microorganisms are promising sources of control methodologies at the micro-/nanoscale.
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56
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Figueroa-Morales N, Rivera A, Soto R, Lindner A, Altshuler E, Clément É. E. coli "super-contaminates" narrow ducts fostered by broad run-time distribution. SCIENCE ADVANCES 2020; 6:eaay0155. [PMID: 32201716 PMCID: PMC7069694 DOI: 10.1126/sciadv.aay0155] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 05/13/2019] [Accepted: 12/13/2019] [Indexed: 06/10/2023]
Abstract
One notable feature of bacterial motion is their ability to swim upstream along corners and crevices, by leveraging hydrodynamic interactions. This motion through anatomic ducts or medical devices might be at the origin of serious infections. However, it remains unclear how bacteria can maintain persistent upstream motion while exhibiting run-and-tumble dynamics. Here, we demonstrate that Escherichia coli can travel upstream in microfluidic devices over distances of 15 mm in times as short as 15 min. Using a stochastic model relating the run times to the time that bacteria spend on surfaces, we quantitatively reproduce the evolution of the contamination profiles when considering a broad distribution of run times. The experimental data cannot be reproduced using the usually accepted exponential distribution of run times. Our study demonstrates that the run-and-tumble statistics determine macroscopic bacterial transport properties. This effect, which we name "super-contamination," could explain the fast onset of some life-threatening medical emergencies.
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Affiliation(s)
- Nuris Figueroa-Morales
- Laboratoire de Physique et Mécanique des Milieux Hétérogènes, PMMH, ESPCI Paris, PSL University, CNRS, Sorbonne Université, Université de Paris, 75005 Paris, France
- Department of Biomedical Engineering, The Pennsylvania State University, PA 16802, USA
| | - Aramis Rivera
- Zeolites Engineering Lab, IMRE, University of Havana, 10400 Havana, Cuba
| | - Rodrigo Soto
- Departamento de Física, FCFM, Universidad de Chile, Santiago, Chile
| | - Anke Lindner
- Laboratoire de Physique et Mécanique des Milieux Hétérogènes, PMMH, ESPCI Paris, PSL University, CNRS, Sorbonne Université, Université de Paris, 75005 Paris, France
| | - Ernesto Altshuler
- Group of Complex Systems and Statistical Physics, Physics Faculty, University of Havana, 10400 Havana, Cuba
| | - Éric Clément
- Laboratoire de Physique et Mécanique des Milieux Hétérogènes, PMMH, ESPCI Paris, PSL University, CNRS, Sorbonne Université, Université de Paris, 75005 Paris, France
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57
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Tan PY, Marcos, Liu Y. Modelling bacterial chemotaxis for indirectly binding attractants. J Theor Biol 2020; 487:110120. [PMID: 31857084 DOI: 10.1016/j.jtbi.2019.110120] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/17/2019] [Revised: 11/09/2019] [Accepted: 12/16/2019] [Indexed: 11/26/2022]
Abstract
In bacterial chemotaxis, chemoattractant molecules may bind either directly or indirectly with receptors within the cell periplasmic space. The indirect binding mechanism, which involves an intermediate periplasmic binding protein, has been reported to increase sensitivity to dilute attractant concentrations as well as range of response. Current mathematical models for bacterial chemotaxis at the population scale do not appear to take the periplasmic binding protein (BP) concentration or the indirect binding mechanics into account. We formulate an indirect binding extension to the existing Rivero equation for chemotactic velocity based on fundamental reversible enzyme kinetics. The formulated indirect binding expression accounts for the periplasmic BP concentration and the dissociation constants for binding between attractant and periplasmic BP, as well as between BP and chemoreceptor. We validate the indirect-binding model using capillary assay simulations of the chemotactic responses of E. coli to the indirectly-binding attractants maltose and AI-2. The predicted response agrees well with experimental data from a number of maltose capillary assay studies conducted in previous literature. The model is also able to achieve good agreement with AI-2 capillary assay data of one study out of two tested. The chemotactic response of E. coli towards AI-2 appears to be of higher complexity due to reports of variable periplasmic BP concentration as well as the low concentration of periplasmic BP relative to the total receptor concentration. Our current model is thus suitable for indirect binding chemotactic response systems with constant periplasmic BP concentration that is significantly larger than the total receptor concentration, such as the response of E. coli towards maltose. Further considerations may be taken into account to model the chemotactic response towards AI-2 with greater accuracy.
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Affiliation(s)
- Pei Yen Tan
- Advanced Environmental Biotechnology Centre, Nanyang Environment & Water Research Institute, Nanyang Technological University, 1 Cleantech Loop, 637141, Singapore
| | - Marcos
- School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, 639798, Singapore.
| | - Yu Liu
- Advanced Environmental Biotechnology Centre, Nanyang Environment & Water Research Institute, Nanyang Technological University, 1 Cleantech Loop, 637141, Singapore; School of Civil and Environmental Engineering, Nanyang Technological University, 50 Nanyang Avenue, 639798, Singapore
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58
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Gurung JP, Gel M, Baker MAB. Microfluidic techniques for separation of bacterial cells via taxis. MICROBIAL CELL (GRAZ, AUSTRIA) 2020; 7:66-79. [PMID: 32161767 PMCID: PMC7052948 DOI: 10.15698/mic2020.03.710] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 10/21/2019] [Revised: 12/24/2019] [Accepted: 01/10/2020] [Indexed: 12/22/2022]
Abstract
The microbial environment is typically within a fluid and the key processes happen at the microscopic scale where viscosity dominates over inertial forces. Microfluidic tools are thus well suited to study microbial motility because they offer precise control of spatial structures and are ideal for the generation of laminar fluid flows with low Reynolds numbers at microbial lengthscales. These tools have been used in combination with microscopy platforms to visualise and study various microbial taxes. These include establishing concentration and temperature gradients to influence motility via chemotaxis and thermotaxis, or controlling the surrounding microenvironment to influence rheotaxis, magnetotaxis, and phototaxis. Improvements in microfluidic technology have allowed fine separation of cells based on subtle differences in motility traits and have applications in synthetic biology, directed evolution, and applied medical microbiology.
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Affiliation(s)
- Jyoti P. Gurung
- School of Biotechnology and Biomolecular Science, UNSW Sydney
| | - Murat Gel
- CSIRO Manufacturing, Clayton
- CSIRO Future Science Platform for Synthetic Biology
| | - Matthew A. B. Baker
- School of Biotechnology and Biomolecular Science, UNSW Sydney
- CSIRO Future Science Platform for Synthetic Biology
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59
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Pearce P, Song B, Skinner DJ, Mok R, Hartmann R, Singh PK, Jeckel H, Oishi JS, Drescher K, Dunkel J. Flow-Induced Symmetry Breaking in Growing Bacterial Biofilms. PHYSICAL REVIEW LETTERS 2019; 123:258101. [PMID: 31922766 DOI: 10.1103/physrevlett.123.258101] [Citation(s) in RCA: 35] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/02/2019] [Indexed: 06/10/2023]
Abstract
Bacterial biofilms represent a major form of microbial life on Earth and serve as a model active nematic system, in which activity results from growth of the rod-shaped bacterial cells. In their natural environments, ranging from human organs to industrial pipelines, biofilms have evolved to grow robustly under significant fluid shear. Despite intense practical and theoretical interest, it is unclear how strong fluid flow alters the local and global architectures of biofilms. Here, we combine highly time-resolved single-cell live imaging with 3D multiscale modeling to investigate the mechanisms by which flow affects the dynamics of all individual cells in growing biofilms. Our experiments and cell-based simulations reveal three quantitatively different growth phases in strong external flow and the transitions between them. In the initial stages of biofilm development, flow induces a downstream gradient in cell orientation, causing asymmetrical dropletlike biofilm shapes. In the later developmental stages, when the majority of cells are sheltered from the flow by the surrounding extracellular matrix, buckling-induced cell verticalization in the biofilm core restores radially symmetric biofilm growth, in agreement with predictions of a 3D continuum model.
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Affiliation(s)
- Philip Pearce
- Department of Mathematics, Massachusetts Institute of Technology, Cambridge Massachusetts 02139-4307, USA
| | - Boya Song
- Department of Mathematics, Massachusetts Institute of Technology, Cambridge Massachusetts 02139-4307, USA
| | - Dominic J Skinner
- Department of Mathematics, Massachusetts Institute of Technology, Cambridge Massachusetts 02139-4307, USA
| | - Rachel Mok
- Department of Mathematics, Massachusetts Institute of Technology, Cambridge Massachusetts 02139-4307, USA
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139-4307, USA
| | - Raimo Hartmann
- Max Planck Institute for Terrestrial Microbiology, 35043 Marburg, Germany
| | - Praveen K Singh
- Max Planck Institute for Terrestrial Microbiology, 35043 Marburg, Germany
| | - Hannah Jeckel
- Max Planck Institute for Terrestrial Microbiology, 35043 Marburg, Germany
- Department of Physics, Philipps-Universität Marburg, 35043 Marburg, Germany
| | - Jeffrey S Oishi
- Department of Mathematics, Massachusetts Institute of Technology, Cambridge Massachusetts 02139-4307, USA
- Department of Physics, Bates College, Lewiston, Maine 04240, USA
| | - Knut Drescher
- Max Planck Institute for Terrestrial Microbiology, 35043 Marburg, Germany
- Department of Physics, Philipps-Universität Marburg, 35043 Marburg, Germany
| | - Jörn Dunkel
- Department of Mathematics, Massachusetts Institute of Technology, Cambridge Massachusetts 02139-4307, USA
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60
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Brosseau Q, Usabiaga FB, Lushi E, Wu Y, Ristroph L, Zhang J, Ward M, Shelley MJ. Relating Rheotaxis and Hydrodynamic Actuation using Asymmetric Gold-Platinum Phoretic Rods. PHYSICAL REVIEW LETTERS 2019; 123:178004. [PMID: 31702241 DOI: 10.1103/physrevlett.123.178004] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/13/2019] [Revised: 08/20/2019] [Indexed: 06/10/2023]
Abstract
We explore the behavior of micron-scale autophoretic Janus (Au/Pt) rods, having various Au/Pt length ratios, swimming near a wall in an imposed background flow. We find that their ability to robustly orient and move upstream, i.e., to rheotax, depends strongly on the Au/Pt ratio, which is easily tunable in synthesis. Numerical simulations of swimming rods actuated by a surface slip show a similar rheotactic tunability when varying the location of the surface slip versus surface drag. The slip location determines whether swimmers are pushers (rear actuated), pullers (front actuated), or in between. Our simulations and modeling show that pullers rheotax most robustly due to their larger tilt angle to the wall, which makes them responsive to flow gradients. Thus, rheotactic response infers the nature of difficult to measure flow fields of an active particle, establishes its dependence on swimmer type, and shows how Janus rods can be tuned for flow responsiveness.
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Affiliation(s)
- Quentin Brosseau
- Courant Institute, New York University, New York, New York 10012, USA
| | | | - Enkeleida Lushi
- Department of Mathematics, New Jersey Institute of Technology, Newark, New Jersey 07102, USA
| | - Yang Wu
- Department of Chemistry, New York University, New York, New York 10012, USA
| | - Leif Ristroph
- Courant Institute, New York University, New York, New York 10012, USA
| | - Jun Zhang
- Courant Institute, New York University, New York, New York 10012, USA
- Department of Physics, New York University, New York, New York 10003, USA
- New York University-East China Normal University Institute of Physics, New York University Shanghai, Shanghai 200062, China
| | - Michael Ward
- Department of Chemistry, New York University, New York, New York 10012, USA
| | - Michael J Shelley
- Courant Institute, New York University, New York, New York 10012, USA
- Center for Computational Biology, Flatiron Institute, New York, New York 10010, USA
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61
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Wei F, Yin C, Zheng J, Zhan Z, Yao L. Rise of cyborg microrobot: different story for different configuration. IET Nanobiotechnol 2019; 13:651-664. [PMID: 31573533 PMCID: PMC8676360 DOI: 10.1049/iet-nbt.2018.5374] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/02/2018] [Revised: 05/16/2019] [Accepted: 06/03/2019] [Indexed: 04/05/2024] Open
Abstract
By integrating organic parts achieved through evolution and inorganic parts developed by human civilisation, the cyborg microrobot is rising by taking advantage of the high flexibility, outstanding energy efficiency, extremely exquisite structure in the natural components and the fine upgradability, nice controllability in the artefact parts. Compared to the purely synthetic microrobots, the cyborg microrobots, due to the exceptional biocompatibility and biodegradability, have already been utilised in in situ diagnosis, precise therapy and other biomedical applications. In this review, through a thorough summary of recent advances of cyborg microrobots, the authors categorise the cyborg microrobots into four major classes according to the configuration between biomaterials and artefact materials, i.e. microrobots integrated inside living cell, microrobots modified with biological debris, microrobots integrated with single cell and microrobots incorporated with multiple cells. Cyborg microrobots with the four types of configurations are introduced and summarised with the combination approaches, actuation mechanisms, applications and challenges one by one. Moreover, they conduct a comparison among the four different cyborg microrobots to guide the actuation force promotion, locomotion control refinement and future applications. Finally, conclusions and future outlook of the development and potential applications of the cyborg microrobots are discussed.
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Affiliation(s)
- Fanan Wei
- State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, People's Republic of China.
| | - Chao Yin
- School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, People's Republic of China
| | - Jianghong Zheng
- School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, People's Republic of China
| | - Ziheng Zhan
- School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, People's Republic of China
| | - Ligang Yao
- School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, People's Republic of China
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62
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Abstract
The trajectory of sperm in the presence of background flow is of utmost importance for the success of fertilization, as sperm encounter background flow of different magnitude and direction on their way to the egg. Here, we have studied the effect of an unbounded simple shear flow as well as a Poiseuille flow on the sperm trajectory. In the presence of a simple shear flow, the sperm moves on an elliptical trajectory in the reference frame advecting with the local background flow. The length of the major-axis of this elliptical trajectory decreases with the shear rate. The flexibility of the flagellum and consequently the length of the major axis of the elliptical trajectories increases with the sperm number. The sperm number is a dimensionless number representing the ratio of viscous force to elastic force. The sperm moves downstream or upstream depending on the strength of background Poiseuille flow. In contrast to the simple shear flow, the sperm also moves toward the centerline in a Poiseuille flow. Far away from the centerline, the cross-stream migration velocity of the sperm increases as the transverse distance of the sperm from the centerline decreases. Close to the centerline, on the other hand, the cross-stream migration velocity decreases as the sperm further approaches the center. The cross-stream migration velocity of the sperm also increases with the sperm number.
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Affiliation(s)
- Manish Kumar
- School of Mechanical Engineering, Purdue University, West Lafayette, Indiana, 47907, USA.
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63
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Mathijssen AJTM, Figueroa-Morales N, Junot G, Clément É, Lindner A, Zöttl A. Oscillatory surface rheotaxis of swimming E. coli bacteria. Nat Commun 2019; 10:3434. [PMID: 31366920 PMCID: PMC6668461 DOI: 10.1038/s41467-019-11360-0] [Citation(s) in RCA: 39] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/04/2018] [Accepted: 07/08/2019] [Indexed: 11/19/2022] Open
Abstract
Bacterial contamination of biological channels, catheters or water resources is a major threat to public health, which can be amplified by the ability of bacteria to swim upstream. The mechanisms of this 'rheotaxis', the reorientation with respect to flow gradients, are still poorly understood. Here, we follow individual E. coli bacteria swimming at surfaces under shear flow using 3D Lagrangian tracking and fluorescent flagellar labelling. Three transitions are identified with increasing shear rate: Above a first critical shear rate, bacteria shift to swimming upstream. After a second threshold, we report the discovery of an oscillatory rheotaxis. Beyond a third transition, we further observe coexistence of rheotaxis along the positive and negative vorticity directions. A theoretical analysis explains these rheotaxis regimes and predicts the corresponding critical shear rates. Our results shed light on bacterial transport and reveal strategies for contamination prevention, rheotactic cell sorting, and microswimmer navigation in complex flow environments.
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Affiliation(s)
- Arnold J T M Mathijssen
- Department of Bioengineering, Stanford University, 443 Via Ortega, Stanford, CA, 94305, USA
- Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford, 1 Keble Road, OX1 3NP, UK
| | - Nuris Figueroa-Morales
- PMMH, UMR 7636 CNRS-ESPCI-PSL Research University, Sorbonne University, University Paris Diderot, 7-9 quai Saint-Bernard, 75005, Paris, France
- Department of Biomedical Engineering, The Pennsylvania State University, University Park, PA, 16802, USA
| | - Gaspard Junot
- PMMH, UMR 7636 CNRS-ESPCI-PSL Research University, Sorbonne University, University Paris Diderot, 7-9 quai Saint-Bernard, 75005, Paris, France
| | - Éric Clément
- PMMH, UMR 7636 CNRS-ESPCI-PSL Research University, Sorbonne University, University Paris Diderot, 7-9 quai Saint-Bernard, 75005, Paris, France
| | - Anke Lindner
- PMMH, UMR 7636 CNRS-ESPCI-PSL Research University, Sorbonne University, University Paris Diderot, 7-9 quai Saint-Bernard, 75005, Paris, France.
| | - Andreas Zöttl
- Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford, 1 Keble Road, OX1 3NP, UK.
- PMMH, UMR 7636 CNRS-ESPCI-PSL Research University, Sorbonne University, University Paris Diderot, 7-9 quai Saint-Bernard, 75005, Paris, France.
- Institute for Theoretical Physics, TU Wien, Wiedner Hauptstraße 8-10, Wien, Austria.
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64
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Junot G, Figueroa-Morales N, Darnige T, Lindner A, Soto R, Auradou H, Clément E. Swimming bacteria in Poiseuille flow: The quest for active Bretherton-Jeffery trajectories. ACTA ACUST UNITED AC 2019. [DOI: 10.1209/0295-5075/126/44003] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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65
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Aufrecht JA, Fowlkes JD, Bible AN, Morrell-Falvey J, Doktycz MJ, Retterer ST. Pore-scale hydrodynamics influence the spatial evolution of bacterial biofilms in a microfluidic porous network. PLoS One 2019; 14:e0218316. [PMID: 31246972 PMCID: PMC6597062 DOI: 10.1371/journal.pone.0218316] [Citation(s) in RCA: 32] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/04/2018] [Accepted: 05/31/2019] [Indexed: 12/31/2022] Open
Abstract
Bacteria occupy heterogeneous environments, attaching and growing within pores in materials, living hosts, and matrices like soil. Systems that permit high-resolution visualization of dynamic bacterial processes within the physical confines of a realistic and tractable porous media environment are rare. Here we use microfluidics to replicate the grain shape and packing density of natural sands in a 2D platform to study the flow-induced spatial evolution of bacterial biofilms underground. We discover that initial bacterial dispersal and grain attachment is influenced by bacterial transport across pore space velocity gradients, a phenomenon otherwise known as rheotaxis. We find that gravity-driven flow conditions activate different bacterial cell-clustering phenotypes depending on the strain's ability to product extracellular polymeric substances (EPS). A wildtype, biofilm-producing bacteria formed compact, multicellular patches while an EPS-defective mutant displayed a linked-cell phenotype in the presence of flow. These phenotypes subsequently influenced the overall spatial distribution of cells across the porous media network as colonies grew and altered the fluid dynamics of their microenvironment.
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Affiliation(s)
- Jayde A. Aufrecht
- Biosciences Division, Oak Ridge National Laboratory, Oak Ridge, TN, United States of America
- Bredesen Center, University of Tennessee, Knoxville, TN, United States of America
| | - Jason D. Fowlkes
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, TN, United States of America
| | - Amber N. Bible
- Biochemistry & Cellular and Molecular Biology, University of Tennessee, Knoxville, TN, United States of America
| | - Jennifer Morrell-Falvey
- Biosciences Division, Oak Ridge National Laboratory, Oak Ridge, TN, United States of America
- Bredesen Center, University of Tennessee, Knoxville, TN, United States of America
| | - Mitchel J. Doktycz
- Biosciences Division, Oak Ridge National Laboratory, Oak Ridge, TN, United States of America
- Bredesen Center, University of Tennessee, Knoxville, TN, United States of America
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, TN, United States of America
| | - Scott T. Retterer
- Biosciences Division, Oak Ridge National Laboratory, Oak Ridge, TN, United States of America
- Bredesen Center, University of Tennessee, Knoxville, TN, United States of America
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, TN, United States of America
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66
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Baker R, Kauffman JE, Laskar A, Shklyaev OE, Potomkin M, Dominguez-Rubio L, Shum H, Cruz-Rivera Y, Aranson IS, Balazs AC, Sen A. Fight the flow: the role of shear in artificial rheotaxis for individual and collective motion. NANOSCALE 2019; 11:10944-10951. [PMID: 31139774 DOI: 10.1039/c8nr10257k] [Citation(s) in RCA: 23] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
To navigate in complex fluid environments, swimming organisms like fish or bacteria often reorient their bodies antiparallel or against the flow, more commonly known as rheotaxis. This reorientation motion enables the organisms to migrate against the fluid flow, as observed in salmon swimming upstream to spawn. Rheotaxis can also be realized in artificial microswimmers - self-propelled particles that mimic swimming microorganisms. Here we study experimentally and by computer simulations the rheotaxis of self-propelled gold-platinum nanorods in microfluidic channels. We observed two distinct modes of artificial rheotaxis: a high shear domain near the bottom wall of the microfluidic channel and a low shear regime in the corners. Reduced fluid drag in the corners promotes the formation of many particle aggregates that rheotax collectively. Our study provides insight into the biomimetic functionality of artificial self-propelled nanorods for dynamic self-assembly and the delivery of payloads to targeted locations.
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Affiliation(s)
- Remmi Baker
- Department of Material Science and Engineering, The Pennsylvania State University, University Park, PA 16802, USA
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67
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Bacterial scattering in microfluidic crystal flows reveals giant active Taylor-Aris dispersion. Proc Natl Acad Sci U S A 2019; 116:11119-11124. [PMID: 31097583 DOI: 10.1073/pnas.1819613116] [Citation(s) in RCA: 24] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
Abstract
The natural habitats of planktonic and swimming microorganisms, from algae in the oceans to bacteria living in soil or intestines, are characterized by highly heterogeneous fluid flows. The complex interplay of flow-field topology, self-propulsion, and porous microstructure is essential to a wide range of biophysical and ecological processes, including marine oxygen production, remineralization of organic matter, and biofilm formation. Although much progress has been made in the understanding of microbial hydrodynamics and surface interactions over the last decade, the dispersion of active suspensions in complex flow environments still poses unsolved fundamental questions that preclude predictive models for microbial transport and spreading under realistic conditions. Here, we combine experiments and simulations to identify the key physical mechanisms and scaling laws governing the dispersal of swimming bacteria in idealized porous media flows. By tracing the scattering dynamics of swimming bacteria in microfluidic crystal lattices, we show that hydrodynamic gradients hinder transverse bacterial dispersion, thereby enhancing stream-wise dispersion [Formula: see text]-fold beyond canonical Taylor-Aris dispersion of passive Brownian particles. Our analysis further reveals that hydrodynamic cell reorientation and Lagrangian flow structure induce filamentous density patterns that depend upon the incident angle of the flow and disorder of the medium, in striking analogy to classical light-scattering experiments.
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68
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Anand SK, Singh SP. Behavior of active filaments near solid-boundary under linear shear flow. SOFT MATTER 2019; 15:4008-4018. [PMID: 31041980 DOI: 10.1039/c9sm00027e] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
The steady-state behavior of a dilute suspension of self-propelled filaments confined between planar walls subjected to Couette-flow is reported herein. The effect of hydrodynamics has been taken into account using a mesoscale simulation approach. We present a detailed analysis of positional and angular probability distributions of filaments with varying propulsive force and shear-flow. The distribution of the centre-of-mass of the filament shows adsorption near the surfaces, which diminishes with the flow. The excess density of filaments decreases with Weissenberg number as Wi-β with an exponent β ≈ 0.8, in the intermediate shear range (1 < Wi < 30). The angular orientational moment also decreases near the wall as Wi-δ with δ ≈ 1/5; the variation in orientational moment near the wall is relatively slower than the bulk. It shows a strong dependence on the propulsive force near the wall, with variation on force as Pe-1/3 for large Pe ≥ 1. The active filament shows orientational preference with flow near the surfaces, which splits into upstream and downstream swimming. The population splitting from a unimodal (propulsive force dominated regime) to bimodal phase (shear dominated regime) is identified in the parameter space of propulsive force and shear flow.
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Affiliation(s)
- Shalabh K Anand
- Department of Physics, Indian Institute Of Science Education and Research, Bhopal 462066, Madhya Pradesh, India.
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69
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Hartmann R, Singh PK, Pearce P, Mok R, Song B, Díaz-Pascual F, Dunkel J, Drescher K. Emergence of three-dimensional order and structure in growing biofilms. NATURE PHYSICS 2019; 15:251-256. [PMID: 31156716 PMCID: PMC6544526 DOI: 10.1038/s41567-018-0356-9] [Citation(s) in RCA: 172] [Impact Index Per Article: 28.7] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/12/2018] [Accepted: 10/19/2018] [Indexed: 05/22/2023]
Abstract
Surface-attached bacterial biofilms are self-replicating active liquid crystals and the dominant form of bacterial life on earth (1-4). In conventional liquid crystals and solid-state materials, the interaction potentials between the molecules that comprise the system determine the material properties. However, for growth-active biofilms it is unclear whether potential-based descriptions can account for the experimentally observed morphologies, and which potentials would be relevant. Here, we overcame previous limitations of single-cell imaging techniques (5,6) to reconstruct and track all individual cells inside growing three-dimensional (3D) biofilms with up to 10,000 individuals. Based on these data, we identify, constrain, and provide a microscopic basis for an effective cell-cell interaction potential, which captures and predicts the growth dynamics, emergent architecture, and local liquid crystalline order of Vibrio cholerae biofilms. Furthermore, we show how external fluid flows control the microscopic structure and 3D morphology of biofilms. Our analysis implies that local cellular order and global biofilm architecture in these active bacterial communities can arise from mechanical cell-cell interactions, which cells can modulate by regulating the production of particular matrix components. These results establish an experimentally validated foundation for improved continuum theories of active matter and thereby contribute to solving the important problem of controlling biofilm growth.
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Affiliation(s)
- Raimo Hartmann
- Max Planck Institute for Terrestrial Microbiology, 35043 Marburg,
DE
- Department of Physics, Philipps-Universität Marburg, 35032
Marburg, DE
| | - Praveen K. Singh
- Max Planck Institute for Terrestrial Microbiology, 35043 Marburg,
DE
| | - Philip Pearce
- Department of Mathematics, Massachusetts Institute of Technology,
Cambridge, MA 02139, USA
| | - Rachel Mok
- Department of Mathematics, Massachusetts Institute of Technology,
Cambridge, MA 02139, USA
- Department of Mechanical Engineering, Massachusetts Institute of
Technology, Cambridge, MA 02139, USA
| | - Boya Song
- Department of Mathematics, Massachusetts Institute of Technology,
Cambridge, MA 02139, USA
| | | | - Jörn Dunkel
- Department of Mathematics, Massachusetts Institute of Technology,
Cambridge, MA 02139, USA
| | - Knut Drescher
- Max Planck Institute for Terrestrial Microbiology, 35043 Marburg,
DE
- Department of Physics, Philipps-Universität Marburg, 35032
Marburg, DE
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70
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Pitruzzello G, Thorpe S, Johnson S, Evans A, Gadêlha H, Krauss TF. Multiparameter antibiotic resistance detection based on hydrodynamic trapping of individual E. coli. LAB ON A CHIP 2019; 19:1417-1426. [PMID: 30869093 DOI: 10.1039/c8lc01397g] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
Abstract
There is an urgent need to develop novel methods for assessing the response of bacteria to antibiotics in a timely manner. Antibiotics are traditionally assessed via their effect on bacteria in a culture medium, which takes 24-48 h and exploits only a single parameter, i.e. growth. Here, we present a multiparameter approach at the single-cell level that takes approximately an hour from spiking the culture to correctly classify susceptible and resistant strains. By hydrodynamically trapping hundreds of bacteria, we simultaneously monitor the evolution of motility and morphology of individual bacteria upon drug administration. We show how this combined detection method provides insights into the activity of antimicrobials at the onset of their action which single parameter and traditional tests cannot offer. Our observations complement the current growth-based methods and highlight the need for future antimicrobial susceptibility tests to take multiple parameters into account.
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71
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Leaman EJ, Geuther BQ, Behkam B. Hybrid centralized/decentralized control of a network of bacteria-based bio-hybrid microrobots. JOURNAL OF MICRO-BIO ROBOTICS 2019. [DOI: 10.1007/s12213-019-00116-0] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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72
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Cencini M, Boffetta G, Borgnino M, De Lillo F. Gyrotactic phytoplankton in laminar and turbulent flows: A dynamical systems approach. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2019; 42:31. [PMID: 30879226 DOI: 10.1140/epje/i2019-11792-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/13/2018] [Accepted: 02/08/2019] [Indexed: 06/09/2023]
Abstract
Gyrotactic algae are bottom heavy, motile cells whose swimming direction is determined by a balance between a buoyancy torque directing them upwards and fluid velocity gradients. Gyrotaxis has, in recent years, become a paradigmatic model for phytoplankton motility in flows. The essential attractiveness of this peculiar form of motility is the availability of a mechanistic description which, despite its simplicity, revealed predictive, rich in phenomenology, easily complemented to include the effects of shape, feedback on the fluid and stochasticity (e.g., in cell orientation). In this review we consider recent theoretical, numerical and experimental results to discuss how, depending on flow properties, gyrotaxis can produce inhomogeneous phytoplankton distributions on a wide range of scales, from millimeters to kilometers, in both laminar and turbulent flows. In particular, we focus on the phenomenon of gyrotactic trapping in nonlinear shear flows and in fractal clustering in turbulent flows. We shall demonstrate the usefulness of ideas and tools borrowed from dynamical systems theory in explaining and interpreting these phenomena.
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Affiliation(s)
- Massimo Cencini
- Istituto dei Sistemi Complessi, CNR, via dei Taurini 19, 00185, Roma, Italy
- INFN Tor Vergata, via della Ricerca Scientifica 1, 00133, Roma, Italy
| | - Guido Boffetta
- Dipartimento di Fisica and INFN, Università di Torino, via P. Giuria 1, 10125, Torino, Italy
| | - Matteo Borgnino
- Dipartimento di Fisica and INFN, Università di Torino, via P. Giuria 1, 10125, Torino, Italy
| | - Filippo De Lillo
- Dipartimento di Fisica and INFN, Università di Torino, via P. Giuria 1, 10125, Torino, Italy.
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73
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Ge A, Wang X, Ge M, Hu L, Feng X, Du W, Liu BF. Profile analysis of C. elegans rheotaxis behavior using a microfluidic device. LAB ON A CHIP 2019; 19:475-483. [PMID: 30601555 DOI: 10.1039/c8lc01087k] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
The directed motility of organisms in response to fluid velocity, which is called rheotaxis, is important in the life cycle of C. elegans, enabling them to navigate their environment and maintain their positions in the presence of adverse flow. Thus, to study the mechanism underlying rheotaxis behavior and reveal information on parasitic diseases, the profile analysis of the rheotaxis response in worm populations with high resolution in well-defined fluid environments is highly desirable. In this work, we presented a rapid and robust microfluidic approach to quantitatively analyze the rheotaxis behavior of worms in response to velocity. The flow-based microfluidic chip contained six helical spline microchannels for generating six flow streams with different flow velocities. Since the worms loaded in the chip would swim upstream into channels, the distribution of the worms in response to the different flow velocities was successfully monitored for the quantitative analysis of their rheotaxis behavior using this microfluidic chip. The results indicated that the rate range of around 50 μm s-1 was the most favorable flow velocity for the wild-type worms. Further, we analyzed ASH neuron-blocked worms and found that the functionally defective ASH neurons inhibited their sensitivity to flow rate. In addition, the rheotaxis analysis of the mutant worms indicated that TRP mechanosensory channels and serotonin signals also play a regulatory role in the rheotaxis response of these worms. Thus, our microfluidic method provides a useful platform to study the rheotaxis behaviors in C. elegans and can be further applied for anti-parasitic drug tests.
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Affiliation(s)
- Anle Ge
- The Key Laboratory for Biomedical Photonics of MOE at Wuhan National Laboratory for Optoelectronics - Hubei Bioinformatics & Molecular Imaging Key Laboratory, Systems Biology Theme, Department of Biomedical Engineering, College of Life Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China.
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74
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Huang HW, Uslu FE, Katsamba P, Lauga E, Sakar MS, Nelson BJ. Adaptive locomotion of artificial microswimmers. SCIENCE ADVANCES 2019; 5:eaau1532. [PMID: 30746446 PMCID: PMC6357760 DOI: 10.1126/sciadv.aau1532] [Citation(s) in RCA: 123] [Impact Index Per Article: 20.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/14/2018] [Accepted: 12/04/2018] [Indexed: 05/06/2023]
Abstract
Bacteria can exploit mechanics to display remarkable plasticity in response to locally changing physical and chemical conditions. Compliant structures play a notable role in their taxis behavior, specifically for navigation inside complex and structured environments. Bioinspired mechanisms with rationally designed architectures capable of large, nonlinear deformation present opportunities for introducing autonomy into engineered small-scale devices. This work analyzes the effect of hydrodynamic forces and rheology of local surroundings on swimming at low Reynolds number, identifies the challenges and benefits of using elastohydrodynamic coupling in locomotion, and further develops a suite of machinery for building untethered microrobots with self-regulated mobility. We demonstrate that coupling the structural and magnetic properties of artificial microswimmers with the dynamic properties of the fluid leads to adaptive locomotion in the absence of on-board sensors.
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Affiliation(s)
- H.-W. Huang
- Department of Mechanical Engineering, ETH Zurich, CH-8092 Zurich, Switzerland
| | - F. E. Uslu
- Institute of Mechanical Engineering, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - P. Katsamba
- Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, UK
| | - E. Lauga
- Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, UK
| | - M. S. Sakar
- Institute of Mechanical Engineering, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - B. J. Nelson
- Department of Mechanical Engineering, ETH Zurich, CH-8092 Zurich, Switzerland
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75
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Walker BJ, Ishimoto K, Wheeler RJ, Gaffney EA. Response of monoflagellate pullers to a shearing flow: A simulation study of microswimmer guidance. Phys Rev E 2018; 98:063111. [PMID: 30656244 PMCID: PMC6333290] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/31/2022]
Abstract
Microscale swimming may be intuited to be dominated by background flows, sweeping away any untethered bodies with the prevalent flow direction. However, it has been observed that many microswimmers utilize ambient flows as guidance cues, in some cases resulting in net motion upstream, contrary to the dominant background fluid direction and our accompanying intuition. Thus the hydrodynamic response of small-scale motile organisms requires careful analysis of the complex interaction between swimmer and environment. Here we investigate the effects of a Newtonian shear flow on monoflagellated swimmers with specified body symmetry, representing, for instance, the Leishmania mexicana promastigote, a parasitic hydrodynamic puller that inhabits the microenvironment of a sandfly vector midgut and is the cause of a major and neglected human tropical disease. We observe that a lack of symmetry-breaking cellular geometry results in the periodic tumbling of swimmers in the bulk, with the rotations exhibiting a linear response to changes in shearing rate enabling analytic approximation. In order to draw comparisons with the better-studied pushers, we additionally consider virtual Leishmania promastigotes in a confined but typical geometry, that of a no-slip planar solid boundary, and note that in general stable guided taxis is not exhibited amongst the range of observed behaviors. However, a repulsive boundary gives rise to significant continued taxis in the presence of shearing flow, a phenomenon that may be of particular pertinence to the infective lifecycle stage of such swimmers subject to the assumption of a Newtonian medium. We finally propose a viable and general in vitro method of controlling microswimmer boundary accumulation using temporally evolving background shear flows, based on the analysis of phase-averaged dynamics and verified in silico.
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Affiliation(s)
- Benjamin J. Walker
- Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford OX2 6GG, United Kingdom
| | - Kenta Ishimoto
- Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford OX2 6GG, United Kingdom
- Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo 153-8914, Japan
| | - Richard J. Wheeler
- Sir William Dunn School of Pathology, University of Oxford, Oxford OX1 3RE, United Kingdom
- Nuffield Department of Medicine, University of Oxford, Oxford OX3 7BN, United Kingdom
| | - Eamonn A. Gaffney
- Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford OX2 6GG, United Kingdom
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76
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Mathijssen AJTM, Guzmán-Lastra F, Kaiser A, Löwen H. Nutrient Transport Driven by Microbial Active Carpets. PHYSICAL REVIEW LETTERS 2018; 121:248101. [PMID: 30608743 DOI: 10.1103/physrevlett.121.248101] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/25/2018] [Indexed: 06/09/2023]
Abstract
We demonstrate that active carpets of bacteria or self-propelled colloids generate coherent flows towards the substrate, and propose that these currents provide efficient pathways to replenish nutrients that feed back into activity. A full theory is developed in terms of gradients in the active matter density and velocity, and applied to bacterial turbulence, topological defects and clustering. Currents with complex spatiotemporal patterns are obtained, which are tunable through confinement. Our findings show that diversity in carpet architecture is essential to maintain biofunctionality.
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Affiliation(s)
- Arnold J T M Mathijssen
- Department of Bioengineering, Stanford University, 443 Via Ortega, Stanford, California 94305, USA
| | - Francisca Guzmán-Lastra
- Facultad de Ciencias, Universidad Mayor, Av. Manuel Montt 367, Providencia, Santiago 7500994, Chile
- Departamento de Física, FCFM Universidad de Chile, Beauchef 850, Santiago 8370448, Chile
| | - Andreas Kaiser
- Department of Biomedical Engineering, Pennsylvania State University, University Park, Pennsylvania 16802, USA
| | - Hartmut Löwen
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität, D-40225 Düsseldorf, Germany
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77
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Abstract
Microorganisms use chemotaxis, regulated by internal complex chemical pathways, to swim along chemical gradients to find better living conditions. Artificial microswimmers can mimic such a strategy by a pure physical process called diffusiophoresis, where they drift and orient along the gradient in a chemical density field. Similarly, for other forms of taxis in nature such as photo- or thermotaxis the phoretic counterpart exists. In this Account, we concentrate on the chemotaxis of self-phoretic active colloids. They are driven by self-electro- and diffusiophoresis at the particle surface and thereby acquire a swimming speed. During this process, they also produce nonuniform chemical fields in their surroundings through which they interact with other colloids by translational and rotational diffusiophoresis. In combination with active motion, this gives rise to effective phoretic attraction and repulsion and thereby to diverse emergent collective behavior. A particular appealing example is dynamic clustering in dilute suspensions first reported by a group from Lyon. A subtle balance of attraction and repulsion causes very dynamic clusters, which form and resolve again. This is in stark contrast to the relatively static clusters of motility-induced phase separation at larger densities. To treat chemotaxis in active colloids confined to a plane, we formulate two Langevin equations for position and orientation, which include translational and rotational diffusiophoretic drift velocities. The colloids are chemical sinks and develop their long-range chemical profiles instantaneously. For dense packings, we include screening of the chemical fields. We present a state diagram in the two diffusiophoretic parameters governing translational, as well as rotational, drift and, thereby, explore the full range of phoretic attraction and repulsion. The identified states range from a gaslike phase over dynamic clustering states 1 and 2, which we distinguish through their cluster size distributions, to different types of collapsed states. The latter include a full chemotactic collapse for translational phoretic attraction. Turning it into an effective repulsion, with increasing strength first the collapsed cluster starts to fluctuate at the rim, then oscillates, and ultimately becomes a static collapsed cloud. We also present a state diagram without screening. Finally, we summarize how the famous Keller-Segel model derives from our Langevin equations through a multipole expansion of the full one-particle distribution function in position and orientation. The Keller-Segel model gives a continuum equation for treating chemotaxis of microorganisms on the level of their spatial density. Our theory is extensible to mixtures of active and passive particles and allows to include a dipolar correction to the chemical field resulting from the dipolar symmetry of Janus colloids.
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Affiliation(s)
- Holger Stark
- Technische Universität Berlin, Institute of Theoretical Physics, Hardenbergstrasse 36, D-10623 Berlin, Germany
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78
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Conrad JC, Poling-Skutvik R. Confined Flow: Consequences and Implications for Bacteria and Biofilms. Annu Rev Chem Biomol Eng 2018; 9:175-200. [DOI: 10.1146/annurev-chembioeng-060817-084006] [Citation(s) in RCA: 45] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
Bacteria overwhelmingly live in geometrically confined habitats that feature small pores or cavities, narrow channels, or nearby interfaces. Fluid flows through these confined habitats are ubiquitous in both natural and artificial environments colonized by bacteria. Moreover, these flows occur on time and length scales comparable to those associated with motility of bacteria and with the formation and growth of biofilms, which are surface-associated communities that house the vast majority of bacteria to protect them from host and environmental stresses. This review describes the emerging understanding of how flow near surfaces and within channels and pores alters physical processes that control how bacteria disperse, attach to surfaces, and form biofilms. This understanding will inform the development and deployment of technologies for drug delivery, water treatment, and antifouling coatings and guide the structuring of bacterial consortia for production of chemicals and pharmaceuticals.
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Affiliation(s)
- Jacinta C. Conrad
- Department of Chemical and Biomolecular Engineering, University of Houston, Houston, Texas 77204, USA
| | - Ryan Poling-Skutvik
- Department of Chemical and Biomolecular Engineering, University of Houston, Houston, Texas 77204, USA
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79
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Krause AL, Burton AM, Fadai NT, Van Gorder RA. Emergent structures in reaction-advection-diffusion systems on a sphere. Phys Rev E 2018; 97:042215. [PMID: 29758621 DOI: 10.1103/physreve.97.042215] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/27/2017] [Indexed: 05/03/2023]
Abstract
We demonstrate unusual effects due to the addition of advection into a two-species reaction-diffusion system on the sphere. We find that advection introduces emergent behavior due to an interplay of the traditional Turing patterning mechanisms with the compact geometry of the sphere. Unidirectional advection within the Turing space of the reaction-diffusion system causes patterns to be generated at one point of the sphere, and transported to the antipodal point where they are destroyed. We illustrate these effects numerically and deduce conditions for Turing instabilities on local projections to understand the mechanisms behind these behaviors. We compare this behavior to planar advection which is shown to only transport patterns across the domain. Analogous transport results seem to hold for the sphere under azimuthal transport or away from the antipodal points in unidirectional flow regimes.
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Affiliation(s)
- Andrew L Krause
- Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, United Kingdom
| | - Abigail M Burton
- Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, United Kingdom
| | - Nabil T Fadai
- Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, United Kingdom
| | - Robert A Van Gorder
- Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, United Kingdom
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80
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Rismani Yazdi S, Nosrati R, Stevens CA, Vogel D, Davies PL, Escobedo C. Magnetotaxis Enables Magnetotactic Bacteria to Navigate in Flow. SMALL (WEINHEIM AN DER BERGSTRASSE, GERMANY) 2018; 14:1702982. [PMID: 29205792 DOI: 10.1002/smll.201702982] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/29/2017] [Revised: 09/29/2017] [Indexed: 06/07/2023]
Abstract
Magnetotactic bacteria (MTB) play an important role in Earth's biogeochemical cycles by transporting minerals in aquatic ecosystems, and have shown promise for controlled transport of microscale objects in flow conditions. However, how MTB traverse complex flow environments is not clear. Here, using microfluidics and high-speed imaging, it is revealed that magnetotaxis enables directed motion of Magnetospirillum magneticum over long distances in flow velocities ranging from 2 to 1260 µm s-1 , corresponding to shear rates ranging from 0.2 to 142 s-1 -a range relevant to both aquatic environments and biomedical applications. The ability of MTB to overcome a current is influenced by the flow, the magnetic field, and their relative orientation. MTB can overcome 2.3-fold higher flow velocities when directed to swim perpendicular to the flow as compared to upstream, as the latter orientation induces higher drag. The results indicate a threshold drag of 9.5 pN, corresponding to a flow velocity of 550 µm s-1 , where magnetotaxis enables MTB to overcome counterdirectional flow. These findings bring new insights into the interactions of MTB with complex flow environments relevant to aquatic ecosystems, while suggesting opportunities for in vivo applications of MTB in microbiorobotics and targeted drug delivery.
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Affiliation(s)
- Saeed Rismani Yazdi
- Department of Chemical Engineering, Queen's University, Kingston, ON, K7L 3N6, Canada
| | - Reza Nosrati
- Department of Chemical Engineering, Queen's University, Kingston, ON, K7L 3N6, Canada
| | - Corey A Stevens
- Department of Biomedical and Molecular Sciences, Queen's University, Kingston, ON, K7L 3N6, Canada
| | - David Vogel
- Swiss Nanoscience Institute, University of Basel, Basel, 4056, Switzerland
| | - Peter L Davies
- Department of Biomedical and Molecular Sciences, Queen's University, Kingston, ON, K7L 3N6, Canada
| | - Carlos Escobedo
- Department of Chemical Engineering, Queen's University, Kingston, ON, K7L 3N6, Canada
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81
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Miño GL, Baabour M, Chertcoff R, Gutkind G, Clément E, Auradou H, Ippolito I. <i>E coli</i> Accumulation behind an Obstacle. ACTA ACUST UNITED AC 2018. [DOI: 10.4236/aim.2018.86030] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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82
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Rismani Yazi S, Nosrati R, Stevens CA, Vogel D, Escobedo C. Migration of magnetotactic bacteria in porous media. BIOMICROFLUIDICS 2018; 12:011101. [PMID: 29531633 PMCID: PMC5828923 DOI: 10.1063/1.5024508] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/01/2018] [Accepted: 02/19/2018] [Indexed: 03/14/2024]
Abstract
Magnetotactic bacteria (MTB) migrate in complex porous sediments where fluid flow is ubiquitous. Here, we demonstrate that magnetotaxis enables MTB to migrate effectively through porous micromodels. Directed MTB can circumvent curved obstacles by traveling along the boundaries and pass flat obstacles by repeatedly switching between forward and backward runs. Magnetotaxis enables directed motion of MTB through heterogeneous porous media, overcoming tortuous flow fields with local velocities as high as 250 μm s-1. Our findings bring new insights into the migration behaviour of MTB in their natural habitats and their potential in vivo applications as microbiorobots.
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Affiliation(s)
- Saeed Rismani Yazi
- Department of Chemical Engineering, Queen's University, Kingston, Ontario K7L 3N6, Canada
| | - Reza Nosrati
- Department of Chemical Engineering, Queen's University, Kingston, Ontario K7L 3N6, Canada
| | - Corey A. Stevens
- Department of Biomedical and Molecular Sciences, Queen's University, Kingston, Ontario K7L 3N6, Canada
| | - David Vogel
- Swiss Nanoscience Institute, University of Basel, Basel 4056, Switzerland
| | - Carlos Escobedo
- Department of Chemical Engineering, Queen's University, Kingston, Ontario K7L 3N6, Canada
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83
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Katuri J, Uspal WE, Simmchen J, Miguel-López A, Sánchez S. Cross-stream migration of active particles. SCIENCE ADVANCES 2018; 4:eaao1755. [PMID: 29387790 PMCID: PMC5787385 DOI: 10.1126/sciadv.aao1755] [Citation(s) in RCA: 55] [Impact Index Per Article: 7.9] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/22/2017] [Accepted: 12/19/2017] [Indexed: 05/18/2023]
Abstract
For natural microswimmers, the interplay of swimming activity and external flow can promote robust directed motion, for example, propulsion against (upstream rheotaxis) or perpendicular to the direction of flow. These effects are generally attributed to their complex body shapes and flagellar beat patterns. Using catalytic Janus particles as a model experimental system, we report on a strong directional response that occurs for spherical active particles in a channel flow. The particles align their propulsion axes to be nearly perpendicular to both the direction of flow and the normal vector of a nearby bounding surface. We develop a deterministic theoretical model of spherical microswimmers near a planar wall that captures the experimental observations. We show how the directional response emerges from the interplay of shear flow and near-surface swimming activity. Finally, adding the effect of thermal noise, we obtain probability distributions for the swimmer orientation that semiquantitatively agree with the experimental distributions.
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Affiliation(s)
- Jaideep Katuri
- Institut de Bioenginyeria de Catalunya, The Barcelona Institute of Science and Technology, Baldiri I Reixac 10-12, 08028 Barcelona, Spain
- Max-Planck-Institut für Intelligente Systeme, Heisenbergstr 3, D-70569 Stuttgart, Germany
| | - William E. Uspal
- Max-Planck-Institut für Intelligente Systeme, Heisenbergstr 3, D-70569 Stuttgart, Germany
- IV. Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany
- Corresponding author. (W.E.U.); (S.S.)
| | - Juliane Simmchen
- Max-Planck-Institut für Intelligente Systeme, Heisenbergstr 3, D-70569 Stuttgart, Germany
| | - Albert Miguel-López
- Institut de Bioenginyeria de Catalunya, The Barcelona Institute of Science and Technology, Baldiri I Reixac 10-12, 08028 Barcelona, Spain
| | - Samuel Sánchez
- Institut de Bioenginyeria de Catalunya, The Barcelona Institute of Science and Technology, Baldiri I Reixac 10-12, 08028 Barcelona, Spain
- Max-Planck-Institut für Intelligente Systeme, Heisenbergstr 3, D-70569 Stuttgart, Germany
- Institució Catalana de Recerca i Estudis Avancats, Passeig Lluís Companys, 23, 08010, Barcelona, Spain
- Corresponding author. (W.E.U.); (S.S.)
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84
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Adhyapak TC, Jabbari-Farouji S. Flow properties and hydrodynamic interactions of rigid spherical microswimmers. Phys Rev E 2017; 96:052608. [PMID: 29347781 DOI: 10.1103/physreve.96.052608] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/08/2017] [Indexed: 06/07/2023]
Abstract
We analyze a minimal model for a rigid spherical microswimmer and explore the consequences of its extended surface on the interplay between its self-propulsion and flow properties. The model is the first order representation of microswimmers, such as bacteria and algae, with rigid bodies and flexible propelling appendages. The flow field of such a microswimmer at finite distances significantly differs from that of a point-force (Stokeslet) dipole. For a suspension of microswimmers, we derive the grand mobility matrix that connects the motion of an individual swimmer to the active and passive forces and torques acting on all the swimmers. Our investigation of the mobility tensors reveals that hydrodynamic interactions among rigid-bodied microswimmers differ considerably from those among the corresponding point-force dipoles. Our results are relevant for the study of collective behavior of hydrodynamically interacting microswimmers by means of Stokesian dynamics simulations at moderate concentrations.
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Affiliation(s)
- Tapan Chandra Adhyapak
- Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudingerweg 7-9, 55128 Mainz, Germany
| | - Sara Jabbari-Farouji
- Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudingerweg 7-9, 55128 Mainz, Germany
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85
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Friedrich SM, Burke JM, Liu KJ, Ivory CF, Wang TH. Molecular rheotaxis directs DNA migration and concentration against a pressure-driven flow. Nat Commun 2017; 8:1213. [PMID: 29089494 PMCID: PMC5663963 DOI: 10.1038/s41467-017-01214-y] [Citation(s) in RCA: 34] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/07/2017] [Accepted: 08/30/2017] [Indexed: 12/23/2022] Open
Abstract
In-line preconcentration techniques are used to improve the sensitivity of microfluidic DNA analysis platforms. The most common methods are electrokinetic and require an externally applied electric field. Here we describe a microfluidic DNA preconcentration technique that does not require an external field. Instead, pressure-driven flow from a fluid-filled microcapillary into a lower ionic strength DNA sample reservoir induces spontaneous DNA migration against the direction of flow. This migratory phenomenon that we call Molecular Rheotaxis initiates in seconds and results in a concentrated DNA bolus at the capillary orifice. We demonstrate the ease with which this concentration method can be integrated into a microfluidic total analysis system composed of in-line DNA preconcentration, size separation, and single-molecule detection. Paired experimental and numerical simulation results are used to delineate the parameters required to induce Molecular Rheotaxis, elucidate the underlying mechanism, and optimize conditions to achieve DNA concentration factors exceeding 10,000 fold. Implementing a nucleic acid preconcentration method can improve the sensitivity of microfluidic analysis systems. Here Friedrich et al. concentrate DNA by many orders of magnitude using pressure-driven flow, which could lead to a simple and practical microanalysis platform.
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Affiliation(s)
- Sarah M Friedrich
- Biomedical Engineering Department, Johns Hopkins University, Baltimore, MD, 21218, USA
| | | | | | - Cornelius F Ivory
- Gene and Linda Voiland School of Chemical Engineering and Bioengineering, Washington State University, Pullman, WA, 99164, USA.
| | - Tza-Huei Wang
- Biomedical Engineering Department, Johns Hopkins University, Baltimore, MD, 21218, USA. .,Mechanical Engineering Department, Johns Hopkins University, Baltimore, MD, 21218, USA.
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86
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Ren L, Zhou D, Mao Z, Xu P, Huang TJ, Mallouk TE. Rheotaxis of Bimetallic Micromotors Driven by Chemical-Acoustic Hybrid Power. ACS NANO 2017; 11:10591-10598. [PMID: 28902492 DOI: 10.1021/acsnano.7b06107] [Citation(s) in RCA: 100] [Impact Index Per Article: 12.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
Abstract
Rheotaxis is a common phenomenon in nature that refers to the directed movement of micro-organisms as a result of shear flow. The ability to mimic natural rheotaxis using synthetic micro/nanomotors adds functionality to enable their applications in biomedicine and chemistry. Here, we present a hybrid strategy that can achieve both positive and negative rheotaxis of synthetic bimetallic micromotors by employing a combination of chemical fuel and acoustic force. An acoustofluidic device is developed for the integration of the two propulsion mechanisms. Using acoustic force alone, bimetallic microrods are propelled along the bottom surface in the center of a fluid channel. The leading end of the microrod is always the less dense end, as established in earlier experiments. With chemical fuel (H2O2) alone, the microrods orient themselves with their anode end against the flow when shear flow is present. Numerical simulations confirm that this orientation results from tilting of the microrods relative to the bottom surface of the channel, which is caused by catalytically driven electro-osmotic flow. By combining this catalytic orientation effect with more powerful, density-dependent acoustic propulsion, both positive and negative rheotaxis can be achieved. The ability to respond to flow stimuli and collectively propel synthetic microswimmers in a directed manner indicates an important step toward practical applications.
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Affiliation(s)
| | - Dekai Zhou
- School of Mechatronics Engineering, Harbin Institute of Technology , Harbin 150001, China
| | | | | | - Tony Jun Huang
- Department of Mechanical Engineering and Material Science, Duke University , Durham, North Carolina 27708, United States
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87
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Ishimoto K. Guidance of microswimmers by wall and flow: Thigmotaxis and rheotaxis of unsteady squirmers in two and three dimensions. Phys Rev E 2017; 96:043103. [PMID: 29347500 DOI: 10.1103/physreve.96.043103] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/07/2017] [Indexed: 06/07/2023]
Abstract
The motions of an unsteady circular-disk squirmer and a spherical squirmer have been investigated in the presence of a no-slip infinite wall and a background shear flow in order to clarify the similarities and differences between two- and three-dimensional motions. Despite the similar bifurcation structure of the dynamical system, the stability of the fixed points differs due to the Hamiltonian structure of the disk squirmer. Once the unsteady oscillating surface velocity profile is considered, the disk squirmer can behave in a chaotic manner and cease to be confined in a near-wall region. In contrast, in an unsteady spherical squirmer, the dynamics is well attracted by a stable fixed point. Additional wall contact interactions lead to stable fixed points for the disk squirmer, and, in turn, the surface entrapment of the disk squirmer can be stabilized, regardless of the existence of the background flow. Finally, we consider spherical motion under a background flow. The separated time scales of the surface entrapment (thigmotaxis) and the turning toward the flow direction (rheotaxis) enable us to reduce the dynamics to two-dimensional phase space, and simple weather-vane mechanics can predict squirmer rheotaxis. The analogous structure of the phase plane with the wall contact in two and three dimensions implies that the two-dimensional disk swimmer successfully captures the nonlinear interactions, and thus two-dimensional approximation could be useful in designing microfluidic devices for the guidance of microswimmers and for clarifying the locomotions in a complex geometry.
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Affiliation(s)
- Kenta Ishimoto
- Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford OX2 6GG, United Kingdom; The Hakubi Center for Advanced Research, Kyoto University, Kyoto 606-8501, Japan; and Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan
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88
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Tarama M. Swinging motion of active deformable particles in Poiseuille flow. Phys Rev E 2017; 96:022602. [PMID: 28950457 DOI: 10.1103/physreve.96.022602] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/29/2017] [Indexed: 11/07/2022]
Abstract
Dynamics of active deformable particles in an external Poiseuille flow is investigated. To make the analysis general, we employ time-evolution equations derived from symmetry considerations that take into account an elliptical shape deformation. First, we clarify the relation of our model to that of rigid active particles. Then, we study the dynamical modes that active deformable particles exhibit by changing the strength of the external flow. We emphasize the difference between the active particles that tend to self-propel parallel to the elliptical shape deformation and those self-propelling perpendicularly. In particular, a swinging motion around the centerline far from the channel walls is discussed in detail.
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Affiliation(s)
- Mitsusuke Tarama
- Fukui Institute for Fundamental Chemistry, Kyoto University, Kyoto, 606-8103, Japan
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89
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Davies Wykes MS, Zhong X, Tong J, Adachi T, Liu Y, Ristroph L, Ward MD, Shelley MJ, Zhang J. Guiding microscale swimmers using teardrop-shaped posts. SOFT MATTER 2017; 13:4681-4688. [PMID: 28466943 DOI: 10.1039/c7sm00203c] [Citation(s) in RCA: 35] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
The swimming direction of biological or artificial microscale swimmers tends to be randomised over long time-scales by thermal fluctuations. Bacteria use various strategies to bias swimming behaviour and achieve directed motion against a flow, maintain alignment with gravity or travel up a chemical gradient. Herein, we explore a purely geometric means of biasing the motion of artificial nanorod swimmers. These artificial swimmers are bimetallic rods, powered by a chemical fuel, which swim on a substrate printed with teardrop-shaped posts. The artificial swimmers are hydrodynamically attracted to the posts, swimming alongside the post perimeter for long times before leaving. The rods experience a higher rate of departure from the higher curvature end of the teardrop shape, thereby introducing a bias into their motion. This bias increases with swimming speed and can be translated into a macroscopic directional motion over long times by using arrays of teardrop-shaped posts aligned along a single direction. This method provides a protocol for concentrating swimmers, sorting swimmers according to different speeds, and could enable artificial swimmers to transport cargo to desired locations.
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Affiliation(s)
| | - Xiao Zhong
- Molecular Design Institute, Department of Chemistry, New York University, USA
| | - Jiajun Tong
- Applied Mathematics Laboratory, Courant Institute, New York University, USA.
| | - Takuji Adachi
- Molecular Design Institute, Department of Chemistry, New York University, USA
| | - Yanpeng Liu
- Applied Mathematics Laboratory, Courant Institute, New York University, USA. and Institute of Fluid Mechanics, Beijing University of Aeronautics and Astronautics, China
| | - Leif Ristroph
- Applied Mathematics Laboratory, Courant Institute, New York University, USA.
| | - Michael D Ward
- Molecular Design Institute, Department of Chemistry, New York University, USA
| | - Michael J Shelley
- Applied Mathematics Laboratory, Courant Institute, New York University, USA. and Flatiron Institute, Simons Foundation, USA
| | - Jun Zhang
- Applied Mathematics Laboratory, Courant Institute, New York University, USA. and Department of Physics, New York University, USA and NYU-ECNU Joint Physics, Mathematics Research Institutes, NYU Shanghai, China
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90
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Zhai H, Li Y, Sanchez S, Kearns DB, Wu Y. Noncontact Cohesive Swimming of Bacteria in Two-Dimensional Liquid Films. PHYSICAL REVIEW LETTERS 2017; 119:018101. [PMID: 28731758 PMCID: PMC5960272 DOI: 10.1103/physrevlett.119.018101] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/04/2016] [Indexed: 05/29/2023]
Abstract
Bacterial swimming in confined two-dimensional environments is ubiquitous in nature and in clinical settings. Characterizing individual interactions between swimming bacteria in 2D confinement will help to understand diverse microbial processes, such as bacterial swarming and biofilm formation. Here we report a novel motion pattern displayed by flagellated bacteria in 2D confinement: When two nearby cells align their moving directions, they tend to engage in cohesive swimming without direct cell body contact, as a result of hydrodynamic interaction but not flagellar intertwining. We further found that cells in cohesive swimming move with higher directional persistence, which can increase the effective diffusivity of cells by ∼3 times as predicted by computational modeling. As a conserved behavior for peritrichously flagellated bacteria, cohesive swimming in 2D confinement may be key to collective motion and self-organization in bacterial swarms; it may also promote bacterial dispersal in unsaturated soils and in interstitial space during infections.
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Affiliation(s)
- He Zhai
- Department of Physics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong, P.R. China
| | - Ye Li
- Department of Physics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong, P.R. China
| | - Sandra Sanchez
- Department of Biology, Indiana University, 1001 East 3rd Street, Bloomington, IN 47405, USA
| | - Daniel B. Kearns
- Department of Biology, Indiana University, 1001 East 3rd Street, Bloomington, IN 47405, USA
| | - Yilin Wu
- Department of Physics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong, P.R. China
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91
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Potomkin M, Tournus M, Berlyand LV, Aranson IS. Flagella bending affects macroscopic properties of bacterial suspensions. J R Soc Interface 2017; 14:rsif.2016.1031. [PMID: 28566507 DOI: 10.1098/rsif.2016.1031] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/19/2016] [Accepted: 05/03/2017] [Indexed: 12/28/2022] Open
Abstract
To survive in harsh conditions, motile bacteria swim in complex environments and respond to the surrounding flow. Here, we develop a mathematical model describing how flagella bending affects macroscopic properties of bacterial suspensions. First, we show how the flagella bending contributes to the decrease in the effective viscosity observed in dilute suspension. Our results do not impose tumbling (random reorientation) as was previously done to explain the viscosity reduction. Second, we demonstrate how a bacterium escapes from wall entrapment due to the self-induced buckling of flagella. Our results shed light on the role of flexible bacterial flagella in interactions of bacteria with shear flow and walls or obstacles.
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Affiliation(s)
- M Potomkin
- Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA
| | - M Tournus
- Aix Marseille Univ, CNRS, Centrale Marseille, I2M, Marseille, France
| | - L V Berlyand
- Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA
| | - I S Aranson
- Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA .,Department of Biomedical Engineering, Pennsylvania State University, University Park, PA 16802, USA.,Materials Science Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, IL 60439, USA
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92
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Pohl O, Hintsche M, Alirezaeizanjani Z, Seyrich M, Beta C, Stark H. Inferring the Chemotactic Strategy of P. putida and E. coli Using Modified Kramers-Moyal Coefficients. PLoS Comput Biol 2017; 13:e1005329. [PMID: 28114420 PMCID: PMC5293273 DOI: 10.1371/journal.pcbi.1005329] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/08/2016] [Revised: 02/06/2017] [Accepted: 12/21/2016] [Indexed: 11/19/2022] Open
Abstract
Many bacteria perform a run-and-tumble random walk to explore their surrounding and to perform chemotaxis. In this article we present a novel method to infer the relevant parameters of bacterial motion from experimental trajectories including the tumbling events. We introduce a stochastic model for the orientation angle, where a shot-noise process initiates tumbles, and analytically calculate conditional moments, reminiscent of Kramers-Moyal coefficients. Matching them with the moments calculated from experimental trajectories of the bacteria E. coli and Pseudomonas putida, we are able to infer their respective tumble rates, the rotational diffusion constants, and the distributions of tumble angles in good agreement with results from conventional tumble recognizers. We also define a novel tumble recognizer, which explicitly quantifies the error in recognizing tumbles. In the presence of a chemical gradient we condition the moments on the bacterial direction of motion and thereby explore the chemotaxis strategy. For both bacteria we recover and quantify the classical chemotactic strategy, where the tumble rate is smallest along the chemical gradient. In addition, for E. coli we detect some cells, which bias their mean tumble angle towards smaller values. Our findings are supported by a scaling analysis of appropriate ratios of conditional moments, which are directly calculated from experimental data. The movement strategies of bacteria have received increasing attention over the past decade, in particular with respect to the tracking of individual cells and the mathematical description of the resulting trajectories. Bacteria typically move in almost straight runs interrupted by sharp turning events (run-and-tumble). In order to characterize their motion on a single cell level, the tumble events in individual trajectories have to be identified. Traditionally, tumble recognition relies on threshold values that are applied to the swimming speed and the reorientation angle. They are chosen in an ad hoc fashion and introduce a certain degree of arbitrariness to the results of statistical motion analyses. Here, we propose a new stochastic model for the orientation angle of a bacterium and formulate conditonal moments, which we determine both in theory and from experimental trajectories. This provides an alternative way of quantifying the bacterial run-and-tumble strategy and of recognizing tumble events. Our approach no longer relies on arbitrarily chosen segmentation thresholds and rigorously quantifies the uncertainty in tumble recognition. We successfully apply our method not only to the paradigmatic case of E. coli but also to trajectories of the soil bacterium Pseudomonas putida, demonstrating that our approach provides a novel way to reliably characterize the tumbling statistics and chemotaxis strategies of bacterial swimmers across different species.
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Affiliation(s)
- Oliver Pohl
- Institute of Theoretical Physics, Technical University Berlin, Berlin, Germany
- * E-mail:
| | - Marius Hintsche
- Institute of Physics and Astronomy, University of Potsdam, Potsdam, Germany
| | | | - Maximilian Seyrich
- Institute of Theoretical Physics, Technical University Berlin, Berlin, Germany
| | - Carsten Beta
- Institute of Physics and Astronomy, University of Potsdam, Potsdam, Germany
| | - Holger Stark
- Institute of Theoretical Physics, Technical University Berlin, Berlin, Germany
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93
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Molaei M, Sheng J. Succeed escape: Flow shear promotes tumbling of Escherichia colinear a solid surface. Sci Rep 2016; 6:35290. [PMID: 27752062 PMCID: PMC5082759 DOI: 10.1038/srep35290] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/26/2016] [Accepted: 09/15/2016] [Indexed: 12/27/2022] Open
Abstract
Understanding how bacteria move close to a surface under various stimuli is crucial for a broad range of microbial processes including biofilm formation, bacterial transport and migration. While prior studies focus on interactions between single stimulus and bacterial suspension, we emphasize on compounding effects of flow shear and solid surfaces on bacterial motility, especially reorientation and tumble. We have applied microfluidics and digital holographic microscopy to capture a large number (>105) of 3D Escherichia coli trajectories near a surface under various flow shear. We find that near-surface flow shear promotes cell reorientation and mitigates the tumble suppression and re-orientation confinement found in a quiescent flow, and consequently enhances surface normal bacterial dispersion. Conditional sampling suggests that two complimentary hydrodynamic mechanisms, Jeffrey Orbit and shear-induced flagella unbundling, are responsible for the enhancement in bacterial tumble motility. These findings imply that flow shear may mitigate cell trapping and prevent biofilm initiation.
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Affiliation(s)
- Mehdi Molaei
- Department of Mechanical Engineering, Texas Tech University, Lubbock, Texas, United States of America
| | - Jian Sheng
- Department of Mechanical Engineering, Texas Tech University, Lubbock, Texas, United States of America
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94
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Barry MT, Rusconi R, Guasto JS, Stocker R. Shear-induced orientational dynamics and spatial heterogeneity in suspensions of motile phytoplankton. J R Soc Interface 2016; 12:rsif.2015.0791. [PMID: 26538558 DOI: 10.1098/rsif.2015.0791] [Citation(s) in RCA: 40] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023] Open
Abstract
Fluid flow, ubiquitous in natural and man-made environments, has the potential to profoundly impact the transport of microorganisms, including phytoplankton in aquatic habitats and bioreactors. Yet, the effect of ambient flow on the swimming behaviour of phytoplankton has remained poorly understood, largely owing to the difficulty of observing cell-flow interactions at the microscale. Here, we present microfluidic experiments where we tracked individual cells for four species of motile phytoplankton exposed to a spatially non-uniform fluid shear rate, characteristic of many flows in natural and artificial environments. We observed that medium-to-high mean shear rates (1-25 s(-1)) produce heterogeneous cell concentrations in the form of regions of accumulation and regions of depletion. The location of these regions relative to the flow depends on the cells' propulsion mechanism, body shape and flagellar arrangement, as captured by an effective aspect ratio. Species having a large effective aspect ratio accumulated in the high-shear regions, owing to shear-induced alignment of the swimming orientation with the fluid streamlines. Species having an effective aspect ratio close to unity exhibited little preferential accumulation at low-to-moderate flow rates, but strongly accumulated in the low-shear regions under high flow conditions, potentially owing to an active, behavioural response of cells to shear. These observations demonstrate that ambient fluid flow can strongly affect the motility and spatial distribution of phytoplankton and highlight the rich dynamics emerging from the interaction between motility, morphology and flow.
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Affiliation(s)
- Michael T Barry
- Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA
| | - Roberto Rusconi
- Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA
| | - Jeffrey S Guasto
- Department of Mechanical Engineering, Tufts University, 200 College Avenue, Medford, MA 02155, USA
| | - Roman Stocker
- Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA Department of Civil, Environmental and Geomatic Engineering, ETH Zurich, Stefano Franscini Platz 5, 8093 Zurich, Switzerland
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95
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Adhyapak TC, Stark H. Dynamics of a bacterial flagellum under reverse rotation. SOFT MATTER 2016; 12:5621-5629. [PMID: 27265475 DOI: 10.1039/c6sm00443a] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
To initiate tumbling of an E. coli, one of the helical flagella reverses its sense of rotation. It then transforms from its normal form first to the transient semicoiled state and subsequently to the curly-I state. The dynamics of polymorphism is effectively modeled by describing flagellar elasticity through an extended Kirchhoff free energy. However, the complete landscape of the free energy remains undetermined because the ground state energies of the polymorphic forms are not known. We investigate how variations in these ground state energies affect the dynamics of a reversely rotated flagellum of a swimming bacterium. We find that the flagellum exhibits a number of distinct dynamical states and comprehensively summarize them in a state diagram. As a result, we conclude that tuning the landscape of the extended Kirchhoff free energy alone cannot generate the intermediate full-length semicoiled state. However, our model suggests an ad hoc method to realize the sequence of polymorphic states as observed for a real bacterium. Since the elastic properties of bacterial flagella are similar, our findings can easily be extended to other peritrichous bacteria.
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Affiliation(s)
- Tapan Chandra Adhyapak
- Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany.
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96
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Dong L, Chen DW, Liu SJ, Du W. Automated Chemotactic Sorting and Single-cell Cultivation of Microbes using Droplet Microfluidics. Sci Rep 2016; 6:24192. [PMID: 27074762 PMCID: PMC4831006 DOI: 10.1038/srep24192] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/30/2016] [Accepted: 03/22/2016] [Indexed: 11/10/2022] Open
Abstract
We report a microfluidic device for automated sorting and cultivation of chemotactic microbes from pure cultures or mixtures. The device consists of two parts: in the first part, a concentration gradient of the chemoeffector was built across the channel for inducing chemotaxis of motile cells; in the second part, chemotactic cells from the sample were separated, and mixed with culture media to form nanoliter droplets for encapsulation, cultivation, enumeration, and recovery of single cells. Chemotactic responses were assessed by imaging and statistical analysis of droplets based on Poisson distribution. An automated procedure was developed for rapid enumeration of droplets with cell growth, following with scale-up cultivation on agar plates. The performance of the device was evaluated by the chemotaxis assays of Escherichia coli (E. coli) RP437 and E. coli RP1616. Moreover, enrichment and isolation of non-labelled Comamonas testosteroni CNB-1 from its 1:10 mixture with E. coli RP437 was demonstrated. The enrichment factor reached 36.7 for CNB-1, based on its distinctive chemotaxis toward 4-hydroxybenzoic acid. We believe that this device can be widely used in chemotaxis studies without necessarily relying on fluorescent labelling, and isolation of functional microbial species from various environments.
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Affiliation(s)
- Libing Dong
- Department of Chemistry, Renmin University of China, Beijing 100872, China.,State Key Laboratory of Microbial Resources, Institute of Microbiology, Chinese Academy of Sciences, Beijing 100101, China
| | - Dong-Wei Chen
- State Key Laboratory of Microbial Resources, Institute of Microbiology, Chinese Academy of Sciences, Beijing 100101, China
| | - Shuang-Jiang Liu
- State Key Laboratory of Microbial Resources, Institute of Microbiology, Chinese Academy of Sciences, Beijing 100101, China
| | - Wenbin Du
- State Key Laboratory of Microbial Resources, Institute of Microbiology, Chinese Academy of Sciences, Beijing 100101, China
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97
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Sokolov A, Aranson IS. Rapid expulsion of microswimmers by a vortical flow. Nat Commun 2016; 7:11114. [PMID: 27005581 PMCID: PMC4814579 DOI: 10.1038/ncomms11114] [Citation(s) in RCA: 28] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/14/2015] [Accepted: 02/22/2016] [Indexed: 11/10/2022] Open
Abstract
Interactions of microswimmers with their fluid environment are exceptionally complex. Macroscopic shear flow alters swimming trajectories in a highly nontrivial way and results in dramatic reduction of viscosity and heterogeneous bacterial distributions. Here we report on experimental and theoretical studies of rapid expulsion of microswimmers, such as motile bacteria, by a vortical flow created by a rotating microparticle. We observe a formation of a macroscopic depletion area in a high-shear region, in the vicinity of a microparticle. The rapid migration of bacteria from the shear-rich area is caused by a vortical structure of the flow rather than intrinsic random fluctuations of bacteria orientations, in stark contrast to planar shear flow. Our mathematical model reveals that expulsion is a combined effect of motility and alignment by a vortical flow. Our findings offer a novel approach for manipulation of motile microorganisms and shed light on bacteria–flow interactions. The control of microswimmers such as bacteria is important for emerging applications of active bioinspired materials. Here, the authors demonstrate the use of vortical shear to expel suspended motile bacteria from the vicinity of a rotating microparticle.
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Affiliation(s)
- Andrey Sokolov
- Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
| | - Igor S Aranson
- Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA.,Department of Engineering Sciences and Applied Mathematics, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60202, USA
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98
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Zhang Z, Liu J, Meriano J, Ru C, Xie S, Luo J, Sun Y. Human sperm rheotaxis: a passive physical process. Sci Rep 2016; 6:23553. [PMID: 27005727 PMCID: PMC4804285 DOI: 10.1038/srep23553] [Citation(s) in RCA: 69] [Impact Index Per Article: 7.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/08/2016] [Accepted: 03/02/2016] [Indexed: 12/14/2022] Open
Abstract
A long-standing question in natural reproduction is how mammalian sperm navigate inside female reproductive tract and finally reach the egg cell, or oocyte. Recently, fluid flow was proposed as a long–range guidance cue for sperm navigation. Coitus induces fluid flow from oviduct to uterus, and sperm align themselves against the flow direction and swim upstream, a phenomenon termed rheotaxis. Whether sperm rheotaxis is a passive process dominated by fluid mechanics, or sperm actively sense and adapt to fluid flow remains controversial. Here we report the first quantitative study of sperm flagellar motion during human sperm rheotaxis and provide direct evidence indicating that sperm rheotaxis is a passive process. Experimental results show that there is no significant difference in flagellar beating amplitude and asymmetry between rheotaxis-turning sperm and those sperm swimming freely in the absence of fluid flow. Additionally, fluorescence image tracking shows no Ca2+ influx during sperm rheotaxis turning, further suggesting there is no active signal transduction during human sperm rheotaxis.
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Affiliation(s)
- Zhuoran Zhang
- Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON, Canada
| | - Jun Liu
- Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON, Canada
| | - Jim Meriano
- LifeQuest Centre for Reproductive Medicine, Toronto, ON, Canada
| | - Changhai Ru
- Jiangsu Provincial Key Laboratory of Advanced Robotics &Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, China
| | - Shaorong Xie
- Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON, Canada.,Department of Mechatronic Engineering, Shanghai University, China
| | - Jun Luo
- Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON, Canada.,Department of Mechatronic Engineering, Shanghai University, China
| | - Yu Sun
- Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON, Canada.,Institute of Biomaterials and Biomedical Engineering, University of Toronto, Toronto, ON, Canada.,Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada
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99
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Ishimoto K, Gaffney EA. Fluid flow and sperm guidance: a simulation study of hydrodynamic sperm rheotaxis. J R Soc Interface 2016; 12:rsif.2015.0172. [PMID: 25878133 DOI: 10.1098/rsif.2015.0172] [Citation(s) in RCA: 44] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Abstract
How does a sperm find its way? The study of guidance cues has fascinated sperm biologists and in particular the prospect of rheotaxis, that is a fluid flow orienting the direction of sperm swimming, has been the subject of extensive recent study, as readily motivated by the prospect that such guidance may be active in the mammalian female reproductive tract. For instance, it has been hypothesized that helical sperm flagellar beating is necessary for such guidance, whereas there is an extensive diversity of flagellar beating patterns, with planar sperm beating readily observed in human cells for example. In particular, such cells will not be guided by fluid flow according to hypothesized mechanisms for rheotaxis presented thus far. Here, using simulation methods, we investigate rheotaxis for a wide range of flagellar beat patterns. Providing the virtual sperm firstly does not possess a tightly circling trajectory in the absence of a background flow and secondly, remains within a region of low shear to prevent being washed away by the background flow, rheotaxis is generally observed with the sperm swimming into the flow together with a possible transverse velocity. Tight circling sperm motility, as observed in select hyperactivated sperm and CatSper mutants, is predicted to disrupt the rheotactic response, whereas confinement to low shear regions generally requires boundary accumulation, thus introducing subtleties in the relationship between rheotactic behaviours and the flagellar waveform and sperm characteristics. Nonetheless, such predictions suggest such rheotactic guidance may be more common and robust than previously thought, and we document simple criteria for the presence of rheotaxis that are consistent with our simulations and understanding, as well as reported observations to date.
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Affiliation(s)
- Kenta Ishimoto
- The Hakubi Center for Advanced Research, Kyoto University, Kyoto, 606-8501, Japan Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan
| | - Eamonn A Gaffney
- Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK
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100
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Live from under the lens: exploring microbial motility with dynamic imaging and microfluidics. Nat Rev Microbiol 2016; 13:761-75. [PMID: 26568072 DOI: 10.1038/nrmicro3567] [Citation(s) in RCA: 87] [Impact Index Per Article: 9.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Abstract
Motility is one of the most dynamic features of the microbial world. The ability to swim or crawl frequently governs how microorganisms interact with their physical and chemical environments, and underpins a myriad of microbial processes. The ability to resolve temporal dynamics through time-lapse video microscopy and the precise control of the physicochemical microenvironment afforded by microfluidics offer powerful new opportunities to study the many motility adaptations of microorganisms and thereby further our understanding of their ecology. In this Review, we outline recent insights into the motility strategies of microorganisms brought about by these techniques, including the hydrodynamic signature of microorganisms, their locomotion mechanics, chemotaxis, their motility near and on surfaces, swimming in moving fluids and motility in dense microbial suspensions.
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