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Silva DPF, Coelho RCV, Pagonabarraga I, Succi S, Telo da Gama MM, Araújo NAM. Lattice Boltzmann simulation of deformable fluid-filled bodies: progress and perspectives. SOFT MATTER 2024; 20:2419-2441. [PMID: 38420837 PMCID: PMC10933750 DOI: 10.1039/d3sm01648j] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/06/2023] [Accepted: 02/20/2024] [Indexed: 03/02/2024]
Abstract
With the rapid development of studies involving droplet microfluidics, drug delivery, cell detection, and microparticle synthesis, among others, many scientists have invested significant efforts to model the flow of these fluid-filled bodies. Motivated by the intricate coupling between hydrodynamics and the interactions of fluid-filled bodies, several methods have been developed. The objective of this review is to present a compact foundation of the methods used in the literature in the context of lattice Boltzmann methods. For hydrodynamics, we focus on the lattice Boltzmann method due to its specific ability to treat time- and spatial-dependent boundary conditions and to incorporate new physical models in a computationally efficient way. We split the existing methods into two groups with regard to the interfacial boundary: fluid-structure and fluid-fluid methods. The fluid-structure methods are characterised by the coupling between fluid dynamics and mechanics of the flowing body, often used in applications involving membranes and similar flexible solid boundaries. We further divide fluid-structure-based methods into two subcategories, those which treat the fluid-structure boundary as a continuum medium and those that treat it as a discrete collection of individual springs and particles. Next, we discuss the fluid-fluid methods, particularly useful for the simulations of fluid-fluid interfaces. We focus on models for immiscible droplets and their interaction in a suspending fluid and describe benchmark tests to validate the models for fluid-filled bodies.
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Affiliation(s)
- Danilo P F Silva
- Centro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, P-1749-016 Lisboa, Portugal.
- Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, P-1749-016 Lisboa, Portugal
| | - Rodrigo C V Coelho
- Centro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, P-1749-016 Lisboa, Portugal.
- Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, P-1749-016 Lisboa, Portugal
| | - Ignacio Pagonabarraga
- Departament de Física de la Matèria Condensada, Universitat de Barcelona, Carrer de Martí Franqués 1, 08028 Barcelona, Spain
- Universitat de Barcelona Institute of Complex Systems (UBICS), Universitat de Barcelona, 08028 Barcelona, Spain
| | - Sauro Succi
- Center for Life Nano Science at La Sapienza, Istituto Italiano di Tecnologia, 295 Viale Regina Elena, I/00161 Roma, Italy
- Harvard Institute for Applied Computational Science, Cambridge, MA 02138, USA
| | - Margarida M Telo da Gama
- Centro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, P-1749-016 Lisboa, Portugal.
- Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, P-1749-016 Lisboa, Portugal
| | - Nuno A M Araújo
- Centro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, P-1749-016 Lisboa, Portugal.
- Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, P-1749-016 Lisboa, Portugal
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2
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Tiribocchi A, Durve M, Lauricella M, Montessori A, Succi S. Spontaneous motion of a passive fluid droplet in an active microchannel. SOFT MATTER 2023; 19:6556-6568. [PMID: 37599649 PMCID: PMC10467333 DOI: 10.1039/d3sm00561e] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/28/2023] [Accepted: 08/08/2023] [Indexed: 08/22/2023]
Abstract
We numerically study the dynamics of a passive fluid droplet confined within a microchannel whose walls are covered with a thin layer of active gel. The latter represents a fluid of extensile material modelling, for example, a suspension of cytoskeletal filaments and molecular motors. Our results show that the layer is capable of producing a spontaneous flow triggering a rectilinear motion of the passive droplet. For a hybrid design (a single wall covered by the active layer), at the steady state the droplet attains an elliptical shape, resulting from an asymmetric saw-toothed structure of the velocity field. In contrast, if the active gel covers both walls, the velocity field exhibits a fully symmetric pattern considerably mitigating morphological deformations. We further show that the structure of the spontaneous flow in the microchannel can be controlled by the anchoring conditions of the active gel at the wall. These findings are also confirmed by selected 3D simulations. Our results may stimulate further research addressed to design novel microfludic devices whose functioning relies on the collective properties of active gels.
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Affiliation(s)
- Adriano Tiribocchi
- Istituto per le Applicazioni del Calcolo CNR, via dei Taurini 19, 00185 Rome, Italy.
| | - Mihir Durve
- Center for Life Nano Science@La Sapienza, Istituto Italiano di Tecnologia, 00161, Roma, Italy
| | - Marco Lauricella
- Istituto per le Applicazioni del Calcolo CNR, via dei Taurini 19, 00185 Rome, Italy.
| | - Andrea Montessori
- Dipartimento di Ingegneria Civile, Informatica e delle Tecnologie Aeronautiche (DICITA), Università degli studi Roma Tre, Via Vito Volterra 62, 00146 Rome, Italy
| | - Sauro Succi
- Istituto per le Applicazioni del Calcolo CNR, via dei Taurini 19, 00185 Rome, Italy.
- Center for Life Nano Science@La Sapienza, Istituto Italiano di Tecnologia, 00161, Roma, Italy
- Department of Physics, Harvard University, Cambridge, MA, 02138, USA
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3
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Farokhirad S, Solanky P, Shad MM. Spreading, Breakup, and Rebound Behaviors of Compound Droplets Impacting on Microstructured Substrates. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2023; 39:3645-3655. [PMID: 36853952 DOI: 10.1021/acs.langmuir.2c03273] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/18/2023]
Abstract
In this study, we numerically investigate the dynamic behaviors of micron-scale compound droplets impacting onto superhydrophobic surfaces patterned by micropillar arrays using a three-dimensional free-energy-based lattice Boltzmann method. We address how the interplay between physical parameters (i.e., Weber number) and geometric parameters (i.e., pillar density and spacing and the droplet core-shell size ratio) affects the spreading, breakup, and rebound behaviors of compound droplets, which remains unknown and unquantified. We identify three flow regimes in which the interfacial morphology between the core and shell evolves and breaks up in distinct ways: namely, hole nucleation at the substrate, rupture of the film at the apex of the shell, and toroidal formation of the core droplet before its detachment from the pillars. We demonstrate that the transition between the three regimes and the maximum spreading factor of compound droplets can be changed by varying the core-shell size ratio, the pillar density, and the Weber number. The non-wetting behavior of the pillar structures eventually forms a new suspended pure droplet or a new suspended compound droplet, which can be characterized by the core-shell size ratio, pillar density, and Weber number.
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Affiliation(s)
- Samaneh Farokhirad
- Department of Mechanical and Industrial Engineering, New Jersey Institute of Technology, Newark, New Jersey 07114, United States
| | - Priyanjali Solanky
- Department of Computer Science, Cornell University, Ithaca, New York 14853, United States
| | - Mahmood M Shad
- Harvard Research Computing, Harvard University, Cambridge, Massachusetts 02138, United States
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4
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The crucial role of adhesion in the transmigration of active droplets through interstitial orifices. Nat Commun 2023; 14:1096. [PMID: 36841803 PMCID: PMC9968312 DOI: 10.1038/s41467-023-36656-0] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/24/2022] [Accepted: 02/09/2023] [Indexed: 02/26/2023] Open
Abstract
Active fluid droplets are a class of soft materials exhibiting autonomous motion sustained by an energy supply. Such systems have been shown to capture motility regimes typical of biological cells and are ideal candidates as building-block for the fabrication of soft biomimetic materials of interest in pharmacology, tissue engineering and lab on chip devices. While their behavior is well established in unconstrained environments, much less is known about their dynamics under strong confinement. Here, we numerically study the physics of a droplet of active polar fluid migrating within a microchannel hosting a constriction with adhesive properties, and report evidence of a striking variety of dynamic regimes and morphological features, whose properties crucially depend upon droplet speed and elasticity, degree of confinement within the constriction and adhesiveness to the pore. Our results suggest that non-uniform adhesion forces are instrumental in enabling the crossing through narrow orifices, in contrast to larger gaps where a careful balance between speed and elasticity is sufficient to guarantee the transition. These observations may be useful for improving the design of artificial micro-swimmers, of interest in material science and pharmaceutics, and potentially for cell sorting in microfluidic devices.
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5
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Suspended water nanodroplets evaporation and its deviation from continuum estimations. J Mol Liq 2022. [DOI: 10.1016/j.molliq.2022.121034] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
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6
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Liu P, Ge H, Lu Y, Wang Y, Du L, Zhu J. Continuous synthesis of 2-tert-butyl phenol oxidation in gas-liquid segmented flow and its kinetic investigation. Chem Eng Sci 2022. [DOI: 10.1016/j.ces.2021.117166] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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7
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Galogahi FM, An H, Zhu Y, Nguyen NT. Thermal and mechanical stabilities of Core-shell microparticles containing a liquid core. J Mol Liq 2021. [DOI: 10.1016/j.molliq.2021.117726] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Tiribocchi A, Montessori A, Durve M, Bonaccorso F, Lauricella M, Succi S. Dynamics of polydisperse multiple emulsions in microfluidic channels. Phys Rev E 2021; 104:065112. [PMID: 35030928 DOI: 10.1103/physreve.104.065112] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/21/2021] [Accepted: 12/09/2021] [Indexed: 06/14/2023]
Abstract
Multiple emulsions are a class of soft fluid in which small drops are immersed within a larger one and stabilized over long periods of time by a surfactant. We recently showed that, if a monodisperse multiple emulsion is subject to a pressure-driven flow, a wide variety of nonequilibrium steady states emerges at late times, whose dynamics relies on a complex interplay between hydrodynamic interactions and multibody collisions among internal drops. In this work, we use lattice Boltzmann simulations to study the dynamics of polydisperse double emulsions driven by a Poiseuille flow within a microfluidic channel. Our results show that their behavior is critically affected by multiple factors, such as initial position, polydispersity index, and area fraction occupied within the emulsion. While at low area fraction inner drops may exhibit either a periodic rotational motion (at low polydispersity) or arrange into nonmotile configurations (at high polydispersity) located far from each other, at larger values of area fraction they remain in tight contact and move unidirectionally. This decisively conditions their close-range dynamics, quantitatively assessed through a time-efficiency-like factor. Simulations also unveil the key role played by the capsule, whose shape changes can favor the formation of a selected number of nonequilibrium states in which both motile and nonmotile configurations are found.
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Affiliation(s)
- A Tiribocchi
- Istituto per le Applicazioni del Calcolo CNR, via dei Taurini 19, 00185 Rome, Italy
| | - A Montessori
- Istituto per le Applicazioni del Calcolo CNR, via dei Taurini 19, 00185 Rome, Italy
| | - M Durve
- Center for Life Nano Science@La Sapienza, Istituto Italiano di Tecnologia, 00161 Roma, Italy
| | - F Bonaccorso
- Istituto per le Applicazioni del Calcolo CNR, via dei Taurini 19, 00185 Rome, Italy
- Center for Life Nano Science@La Sapienza, Istituto Italiano di Tecnologia, 00161 Roma, Italy
- Department of Physics and INFN, University of Rome "Tor Vergata," Via della Ricerca Scientifica, 00133 Rome, Italy
| | - M Lauricella
- Istituto per le Applicazioni del Calcolo CNR, via dei Taurini 19, 00185 Rome, Italy
| | - S Succi
- Istituto per le Applicazioni del Calcolo CNR, via dei Taurini 19, 00185 Rome, Italy
- Center for Life Nano Science@La Sapienza, Istituto Italiano di Tecnologia, 00161 Roma, Italy
- Institute for Applied Computational Science, John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA
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9
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Montessori A, Tiribocchi A, Bogdan M, Bonaccorso F, Lauricella M, Guzowski J, Succi S. Translocation Dynamics of High-Internal Phase Double Emulsions in Narrow Channels. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2021; 37:9026-9033. [PMID: 34291636 PMCID: PMC8503876 DOI: 10.1021/acs.langmuir.1c01026] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 04/15/2021] [Revised: 06/18/2021] [Indexed: 06/13/2023]
Abstract
We numerically study the translocation dynamics of double emulsion drops with multiple close-packed inner droplets within constrictions. Such liquid architectures, which we refer to as HIPdEs (high-internal phase double emulsions), consist of a ternary fluid, in which monodisperse droplets are encapsulated within a larger drop in turn immersed in a bulk fluid. Extensive two-dimensional lattice Boltzmann simulations show that if the area fraction of the internal drops is close to the packing fraction limit of hard spheres and the height of the channel is much smaller than the typical size of the emulsion, the crossing yields permanent shape deformations persistent over long periods of time. Morphological changes and rheological response are quantitatively assessed in terms of the structure of the velocity field, circularity of the emulsion, and rate of energy dissipated by viscous forces. Our results may be used to improve the design of soft mesoscale porous materials, which employ HIPdEs as templates for tissue engineering applications.
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Affiliation(s)
- Andrea Montessori
- Istituto
per le Applicazioni del Calcolo CNR, Via dei Taurini 19, Rome 00185, Italy
| | - Adriano Tiribocchi
- Istituto
per le Applicazioni del Calcolo CNR, Via dei Taurini 19, Rome 00185, Italy
- Center
for Life Nanoscience at la Sapienza, Istituto
Italiano di Tecnologia, Viale Regina Elena 295, Rome 00161, Italy
| | - Michał Bogdan
- Institute
of Physical Chemistry, Polish Academy of
Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland
| | - Fabio Bonaccorso
- Istituto
per le Applicazioni del Calcolo CNR, Via dei Taurini 19, Rome 00185, Italy
- Center
for Life Nanoscience at la Sapienza, Istituto
Italiano di Tecnologia, Viale Regina Elena 295, Rome 00161, Italy
- Dipartimento
di Fisica, Università degli Studi
di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, Rome 00133, Italy
| | - Marco Lauricella
- Istituto
per le Applicazioni del Calcolo CNR, Via dei Taurini 19, Rome 00185, Italy
| | - Jan Guzowski
- Institute
of Physical Chemistry, Polish Academy of
Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland
| | - Sauro Succi
- Istituto
per le Applicazioni del Calcolo CNR, Via dei Taurini 19, Rome 00185, Italy
- Center
for Life Nanoscience at la Sapienza, Istituto
Italiano di Tecnologia, Viale Regina Elena 295, Rome 00161, Italy
- Institute
for Applied Computational Science, Harvard
John A. Paulson School of Engineering and Applied Sciences, Cambridge, Massachusetts 02138, United States
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10
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Del Giudice F, D'Avino G, Maffettone PL. Microfluidic formation of crystal-like structures. LAB ON A CHIP 2021; 21:2069-2094. [PMID: 34002182 DOI: 10.1039/d1lc00144b] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
Crystal-like structures find application in several fields ranging from biomedical engineering to material science. For instance, droplet crystals are critical for high throughput assays and material synthesis, while particle crystals are important for particles and cell encapsulation, Drop-seq technologies, and single-cell analysis. Formation of crystal-like structures relies entirely on the possibility of manipulating with great accuracy the micrometer-size objects forming the crystal. In this context, microfluidic devices offer versatile tools for the precise manipulation of droplets and particles, thus enabling fabrication of crystal-like structures that form due to hydrodynamic interactions among droplets or particles. In this review, we aim at providing an holistic representation of crystal-like structure formation mediated by hydrodynamic interactions in microfluidic devices. We also discuss the physical origin of these hydrodynamic interactions and their relation to parameters such as device geometry, fluid properties, and flow conditions.
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Affiliation(s)
- Francesco Del Giudice
- System and Process Engineering Centre, College of Engineering, Fabian Way, Swansea, SA1 8EN, UK.
| | - Gaetano D'Avino
- Dipartimento di Ingegneria Chimica, dei Materiali e della Produzione Industriale, Universitá degli Studi di Napoli Federico II, Piazzale Tecchio 80, 80125 Naples, Italy
| | - Pier Luca Maffettone
- Dipartimento di Ingegneria Chimica, dei Materiali e della Produzione Industriale, Universitá degli Studi di Napoli Federico II, Piazzale Tecchio 80, 80125 Naples, Italy
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11
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Zhang H, Wu Y, Wang F, Guo F, Nestler B. Phase-Field Modeling of Multiple Emulsions Via Spinodal Decomposition. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2021; 37:5275-5281. [PMID: 33885306 DOI: 10.1021/acs.langmuir.1c00275] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/26/2023]
Abstract
Currently, multiple emulsions via liquid-liquid phase separation in ternary polymer solutions have sparked considerable interest because of its remarkable potential in physical, medical, and biological applications. The transient "onion-like" multilayers are highly dependent on the evolution kinetics, which is challenging to be scrutinized in experiments and has not yet been fully understood. Here, we report a thermodynamically consistent multicomponent Cahn-Hilliard model to investigate the kinetics of multiple emulsions by tracing the temporal evolution of the local compositions inside the emulsion droplets. We reveal that the mechanism governing the kinetics is attributed to the competition between surface energy minimization and phase separation. Based on this concept, a generalized morphology diagram for different emulsion patterns is achieved, showing a good accordance with previous experiments. Moreover, combining the analysis for the kinetics and the morphology diagram, we predict new emulsion structures that provide general guidelines to discovery, design, and manipulation of complex multiphase emulsions.
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Affiliation(s)
- Haodong Zhang
- Institute of Applied Materials-Computational Materials Science, Karlsruhe Institute of Technology (KIT), Straße am Forum 7, Karlsruhe 76131, Germany
| | - Yanchen Wu
- Institute of Applied Materials-Computational Materials Science, Karlsruhe Institute of Technology (KIT), Straße am Forum 7, Karlsruhe 76131, Germany
| | - Fei Wang
- Institute of Applied Materials-Computational Materials Science, Karlsruhe Institute of Technology (KIT), Straße am Forum 7, Karlsruhe 76131, Germany
| | - Fuhao Guo
- Institute of Applied Materials-Computational Materials Science, Karlsruhe Institute of Technology (KIT), Straße am Forum 7, Karlsruhe 76131, Germany
| | - Britta Nestler
- Institute of Applied Materials-Computational Materials Science, Karlsruhe Institute of Technology (KIT), Straße am Forum 7, Karlsruhe 76131, Germany
- Institute of Digital Materials Science, Karlsruhe University of Applied Sciences, Moltkestraße 30, Karlsruhe 76133, Germany
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12
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Durve M, Bonaccorso F, Montessori A, Lauricella M, Tiribocchi A, Succi S. Tracking droplets in soft granular flows with deep learning techniques. EUROPEAN PHYSICAL JOURNAL PLUS 2021; 136:864. [PMID: 34458055 PMCID: PMC8380117 DOI: 10.1140/epjp/s13360-021-01849-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/06/2021] [Accepted: 08/07/2021] [Indexed: 05/09/2023]
Abstract
The state-of-the-art deep learning-based object recognition YOLO algorithm and object tracking DeepSORT algorithm are combined to analyze digital images from fluid dynamic simulations of multi-core emulsions and soft flowing crystals and to track moving droplets within these complex flows. The YOLO network was trained to recognize the droplets with synthetically prepared data, thereby bypassing the labor-intensive data acquisition process. In both applications, the trained YOLO + DeepSORT procedure performs with high accuracy on the real data from the fluid simulations, with low error levels in the inferred trajectories of the droplets and independently computed ground truth. Moreover, using commonly used desktop GPUs, the developed application is capable of analyzing data at speeds that exceed the typical image acquisition rates of digital cameras (30 fps), opening the interesting prospect of realizing a low-cost and practical tool to study systems with many moving objects, mostly but not exclusively, biological ones. Besides its practical applications, the procedure presented here marks the first step towards the automatic extraction of effective equations of motion of many-body soft flowing systems.
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Affiliation(s)
- Mihir Durve
- Center for Life Nano- & Neuro-Science, Fondazione Istituto Italiano di Tecnologia (IIT), 00161 Rome, Italy
| | - Fabio Bonaccorso
- Center for Life Nano- & Neuro-Science, Fondazione Istituto Italiano di Tecnologia (IIT), 00161 Rome, Italy
- Istituto per le Applicazioni del Calcolo CNR, via dei Taurini 19, Rome, Italy
- Department of Physics and INFN, University of Rome Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy
| | - Andrea Montessori
- Istituto per le Applicazioni del Calcolo CNR, via dei Taurini 19, Rome, Italy
| | - Marco Lauricella
- Istituto per le Applicazioni del Calcolo CNR, via dei Taurini 19, Rome, Italy
| | - Adriano Tiribocchi
- Istituto per le Applicazioni del Calcolo CNR, via dei Taurini 19, Rome, Italy
| | - Sauro Succi
- Center for Life Nano- & Neuro-Science, Fondazione Istituto Italiano di Tecnologia (IIT), 00161 Rome, Italy
- Istituto per le Applicazioni del Calcolo CNR, via dei Taurini 19, Rome, Italy
- Institute for Applied Computational Science, John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, USA
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