Hydrodynamic mechanisms of cell and particle trapping in microfluidics.

Focusing and sorting cells and particles utilizing microfluidic phenomena have been flourishing areas of development in recent years. These processes are largely beneficial in biomedical applications and fundamental studies of cell biology as they provide cost-effective and point-of-care miniaturized diagnostic devices and rare cell enrichment techniques. Due to inherent problems of isolation methods based on the biomarkers and antigens, separation approaches exploiting physical characteristics of cells of interest, such as size, deformability, and electric and magnetic properties, have gained currency in many medical assays. Here, we present an overview of the cell/particle sorting techniques by harnessing intrinsic hydrodynamic effects in microchannels. Our emphasis is on the underlying fluid dynamical mechanisms causing cross stream migration of objects in shear and vortical flows. We also highlight the advantages and drawbacks of each method in terms of throughput, separation efficiency, and cell viability. Finally, we discuss the future research areas for extending the scope of hydrodynamic mechanisms and exploring new physical directions for microfluidic applications.

[1]  A. Bhagat,et al.  Inertial microfluidics for continuous particle filtration and extraction , 2009 .

[2]  Elisabeth Guazzelli,et al.  Inertial migration of rigid spherical particles in Poiseuille flow , 2004, Journal of Fluid Mechanics.

[3]  Pier Luca Maffettone,et al.  Viscoelasticity-induced migration of a rigid sphere in confined shear flow , 2010 .

[4]  Dino Di Carlo,et al.  High-throughput size-based rare cell enrichment using microscale vortices. , 2011, Biomicrofluidics.

[5]  Robin H. Liu,et al.  Bubble-induced acoustic micromixing. , 2002, Lab on a chip.

[6]  Petia M. Vlahovska,et al.  Vesicles in Poiseuille flow. , 2008, Physical review letters.

[7]  Elisabeth Guazzelli,et al.  Lateral Forces on a Sphere , 2004 .

[8]  Reinhard Lipowsky,et al.  Giant vesicles in electric fields. , 2007, Soft matter.

[9]  Sascha Hilgenfeldt,et al.  Efficient manipulation of microparticles in bubble streaming flows. , 2012, Biomicrofluidics.

[10]  R. Pethig Review article-dielectrophoresis: status of the theory, technology, and applications. , 2010, Biomicrofluidics.

[11]  Yong-Seok Choi,et al.  Supplementary Material (esi) for Lab on a Chip Lateral and Cross-lateral Focusing of Spherical Particles in a Square Microchannel , 2022 .

[12]  T. Crowley,et al.  Isolation of plasma from whole blood using planar microfilters for lab-on-a-chip applications. , 2005, Lab on a chip.

[13]  Kyu Hyun,et al.  Deformability-selective particle entrainment and separation in a rectangular microchannel using medium viscoelasticity , 2012 .

[14]  Daniel T. Schwartz,et al.  Microscopic steady streaming eddies created around short cylinders in a channel: Flow visualization and Stokes layer scaling , 2005 .

[15]  Martin Z. Bazant,et al.  Induced-charge electrokinetic phenomena , 2003 .

[16]  Daniel D. Joseph,et al.  Effects of shear thinning on migration of neutrally buoyant particles in pressure driven flow of Newtonian and viscoelastic fluids , 2000 .

[17]  A. Gelb,et al.  The clinical importance of erythrocyte deformability, a hemorrheological parameter , 1992, Annals of Hematology.

[18]  N. Gershenfeld,et al.  Microfluidic Bubble Logic , 2006, Science.

[19]  K. Sharp,et al.  Localized flow control in microchannels using induced-charge electroosmosis near conductive obstacles , 2011 .

[20]  J. Davies,et al.  Molecular Biology of the Cell , 1983, Bristol Medico-Chirurgical Journal.

[21]  J. Friend,et al.  Microscale acoustofluidics: Microfluidics driven via acoustics and ultrasonics , 2011 .

[22]  N. White,et al.  Abnormal blood flow and red blood cell deformability in severe malaria. , 2000, Parasitology today.

[23]  Robert H. Davis,et al.  Low-Reynolds-number motion of a deformable drop between two parallel plane walls , 2007 .

[24]  A. Undar,et al.  A microfluidic device for continuous, real time blood plasma separation. , 2006, Lab on a chip.

[25]  Diana S. Hou,et al.  Electrohydrodynamic surface microvortices for mixing and particle trapping , 2006 .

[26]  M. A. Tehrani An experimental study of particle migration in pipe flow of viscoelastic fluids , 1996 .

[27]  Chiara Lapucci,et al.  Enrichment of Fetal Nucleated Red Blood Cells from the Maternal Circulation for Prenatal Diagnosis: Experiences with Triple Density Gradient and MACS Based on More than 600 Cases , 1998, Fetal Diagnosis and Therapy.

[28]  F. Gauthier,et al.  Particle Motions in Non‐Newtonian Media. II. Poiseuille Flow , 1971 .

[29]  Junjie Zhu,et al.  Curvature-induced dielectrophoresis for continuous separation of particles by charge in spiral microchannels. , 2011, Biomicrofluidics.

[30]  V. Studer,et al.  Experimental observation of induced-charge electro-osmosis around a metal wire in a microchannel , 2005 .

[31]  Steven W Graves,et al.  Inertial manipulation and transfer of microparticles across laminar fluid streams. , 2012, Small.

[32]  Shizhi Qian,et al.  Microfluidic separation of live and dead yeast cells using reservoir-based dielectrophoresis. , 2012, Biomicrofluidics.

[33]  T. Laurell,et al.  Review of cell and particle trapping in microfluidic systems. , 2009, Analytica chimica acta.

[34]  Dino Di Carlo,et al.  Dynamic self-assembly and control of microfluidic particle crystals , 2010, Proceedings of the National Academy of Sciences.

[35]  M. Abkarian,et al.  Dynamics of vesicles in a wall-bounded shear flow. , 2005, Biophysical journal.

[36]  Petia M. Vlahovska,et al.  Vesicles and red blood cells in flow: From individual dynamics to rheology , 2009 .

[37]  Rebecca Dylla-Spears,et al.  Single-molecule sequence detection via microfluidic planar extensional flow at a stagnation point. , 2010, Lab on a chip.

[38]  Thomas Laurell,et al.  Continuous separation of cells and particles in microfluidic systems. , 2010, Chemical Society reviews.

[39]  Barry R Lutz,et al.  Hydrodynamic tweezers: 1. Noncontact trapping of single cells using steady streaming microeddies. , 2006, Analytical chemistry.

[40]  L. G. Leal,et al.  Advanced Transport Phenomena: Fluid Mechanics and Convective Transport Processes , 2007 .

[41]  Pier Luca Maffettone,et al.  Single line particle focusing induced by viscoelasticity of the suspending liquid: theory, experiments and simulations to design a micropipe flow-focuser. , 2012, Lab on a chip.

[42]  K. Dholakia,et al.  Microfluidic sorting in an optical lattice , 2003, Nature.

[43]  Daniel Ahmed,et al.  A millisecond micromixer via single-bubble-based acoustic streaming. , 2009, Lab on a chip.

[44]  Andrew M Wo,et al.  Trapping of bioparticles via microvortices in a microfluidic device for bioassay applications. , 2008, Analytical chemistry.

[45]  Han Wei Hou,et al.  Pinched flow coupled shear-modulated inertial microfluidics for high-throughput rare blood cell separation. , 2011, Lab on a chip.

[46]  Andreas Radbruch,et al.  High gradient magnetic cell separation with MACS. , 1990, Cytometry.

[47]  M. Yamada,et al.  Hydrodynamic filtration for on-chip particle concentration and classification utilizing microfluidics. , 2005, Lab on a chip.

[48]  Makino Masato,et al.  Shear Migration of Chiral Particle in Parallel-Disk , 2008 .

[49]  P. Olla,et al.  The Lift on a Tank-Treading Ellipsoidal Cell in a Shear Flow , 1996, chao-dyn/9610017.

[50]  Murthy Sn,et al.  Magnetophoresis: an approach to enhance transdermal drug diffusion. , 1999 .

[51]  Martin Heller,et al.  Multidirectional sorting modes in deterministic lateral displacement devices. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[52]  M. Lipson,et al.  Optical manipulation of nanoparticles and biomolecules in sub-wavelength slot waveguides , 2009, Nature.

[53]  D. Di Carlo,et al.  Continuous scalable blood filtration device using inertial microfluidics , 2010, Biotechnology and bioengineering.

[54]  G. Segré,et al.  Behaviour of macroscopic rigid spheres in Poiseuille flow Part 1. Determination of local concentration by statistical analysis of particle passages through crossed light beams , 1962, Journal of Fluid Mechanics.

[55]  R. Tompkins,et al.  Continuous inertial focusing, ordering, and separation of particles in microchannels , 2007, Proceedings of the National Academy of Sciences.

[56]  William M. Durham,et al.  Disruption of Vertical Motility by Shear Triggers Formation of Thin Phytoplankton Layers , 2009, Science.

[57]  Hsien-Hung Wei,et al.  Dynamic particle trapping, release, and sorting by microvortices on a substrate. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[58]  K. Walters,et al.  On Non‐Newtonian Flow Past a Cylinder in a Confined Flow , 1989 .

[59]  Subra Suresh,et al.  Biomechanics and biophysics of cancer cells. , 2007, Acta biomaterialia.

[60]  Sai K. Doddi,et al.  Lateral migration of a capsule in a plane Poiseuille flow in a channel , 2008 .

[61]  Juan J de Pablo,et al.  Elongation and migration of single DNA molecules in microchannels using oscillatory shear flows. , 2009, Lab on a chip.

[62]  A. Bhagat,et al.  Inertial microfluidics for continuous particle separation in spiral microchannels. , 2009, Lab on a chip.

[63]  Y. Zhan,et al.  Vortex-assisted DNA delivery. , 2010, Lab on a chip.

[64]  Sehyun Shin,et al.  Continuous separation of microparticles in a microfluidic channel via the elasto-inertial effect of non-Newtonian fluid. , 2011, Lab on a chip.

[65]  Necati Kaval,et al.  Inertial microfluidics for sheath-less high-throughput flow cytometry , 2010, Biomedical microdevices.

[66]  S. G. Mason,et al.  Particle Motions in Sheared Suspensions. XIX. Viscoelastic Media , 1966 .

[67]  Wong Cheng Lee,et al.  High-throughput cell cycle synchronization using inertial forces in spiral microchannels. , 2011, Lab on a chip.

[68]  Armando R Tovar,et al.  Lateral cavity acoustic transducer. , 2009, Lab on a chip.

[69]  F. Gauthier,et al.  Particle motions in non-Newtonian media , 1971 .

[70]  D J Prockop,et al.  Identification of a subpopulation of rapidly self-renewing and multipotential adult stem cells in colonies of human marrow stromal cells , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[71]  F. Bidard,et al.  Microfluidic: an innovative tool for efficient cell sorting. , 2012, Methods.

[72]  Valerie L. Ng,et al.  Practical Flow Cytometry, 4th Edition , 2004 .

[73]  T. Huang,et al.  Single-layer planar on-chip flow cytometer using microfluidic drifting based three-dimensional (3D) hydrodynamic focusing. , 2009, Lab on a chip.

[74]  Hakho Lee,et al.  Manipulation of biological cells using a microelectromagnet matrix , 2004 .

[75]  H. M. Hertza Standing-wave acoustic trap for nonintrusive positioning of microparticles , 1999 .

[76]  Arezoo M Ardekani,et al.  Bacterial aggregation and biofilm formation in a vortical flow. , 2012, Biomicrofluidics.

[77]  Jeffrey S Erickson,et al.  Optofluidic characterization of marine algae using a microflow cytometer. , 2011, Biomicrofluidics.

[78]  W. Zimmermann,et al.  Lateral migration of a two-dimensional vesicle in unbounded Poiseuille flow. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[79]  Sascha Hilgenfeldt,et al.  Size-sensitive sorting of microparticles through control of flow geometry , 2011 .

[80]  S. G. Mason,et al.  Particle motions in non-newtonian media , 1975 .

[81]  C. Pozrikidis,et al.  Boundary Integral and Singularity Methods for Linearized Viscous Flow: The boundary integral equations , 1992 .

[82]  Tony Jun Huang,et al.  "Microfluidic drifting"--implementing three-dimensional hydrodynamic focusing with a single-layer planar microfluidic device. , 2007, Lab on a chip.

[83]  S. Lee,et al.  Sheathless elasto-inertial particle focusing and continuous separation in a straight rectangular microchannel. , 2011, Lab on a chip.

[84]  Jaap M J den Toonder,et al.  Circulating tumor cell isolation and diagnostics: toward routine clinical use. , 2011, Cancer research.

[85]  Junjie Zhu,et al.  Particle focusing in microfluidic devices , 2010 .

[86]  Roger H. Rangel,et al.  Two spheres in a free stream of a second-order fluid , 2008 .

[87]  H. Shapiro Practical Flow Cytometry: Shapiro/Flow Cytometry 4e , 2005 .

[88]  Chulhee Choi,et al.  Microfluidic self-sorting of mammalian cells to achieve cell cycle synchrony by hydrophoresis. , 2009, Analytical chemistry.

[89]  Daniel T Schwartz,et al.  Hydrodynamic tweezers: impact of design geometry on flow and microparticle trapping. , 2012, Analytical chemistry.

[90]  J. Sturm,et al.  Continuous Particle Separation Through Deterministic Lateral Displacement , 2004, Science.

[91]  K. Schütze,et al.  Isolation by size of epithelial tumor cells : a new method for the immunomorphological and molecular characterization of circulatingtumor cells. , 2000, The American journal of pathology.

[92]  Jaap den Toonder,et al.  Circulating tumor cells: the Grand Challenge. , 2011, Lab on a chip.

[93]  P. Marmottant,et al.  Controlled vesicle deformation and lysis by single oscillating bubbles , 2003, Nature.

[94]  Sung Sik Lee,et al.  Lateral migration and focusing of colloidal particles and DNA molecules under viscoelastic flow. , 2012, Lab on a chip.

[95]  R. Skalak,et al.  Motion of a tank-treading ellipsoidal particle in a shear flow , 1982, Journal of Fluid Mechanics.

[96]  Jae-Sung Park,et al.  Multiorifice flow fractionation: continuous size-based separation of microspheres using a series of contraction/expansion microchannels. , 2009, Analytical chemistry.

[97]  Peilong Chen,et al.  Lift forces of screws in shear flows , 2007 .

[98]  Wesley Le Mars Nyborg,et al.  11 - Acoustic Streaming , 1965 .

[99]  J. Rao,et al.  Nanomechanical analysis of cells from cancer patients. , 2007, Nature nanotechnology.

[100]  Satinder Ahuja,et al.  Chiral separations : applications and technology , 1997 .

[101]  A. Bhagat,et al.  Continuous particle separation in spiral microchannels using Dean flows and differential migration. , 2008, Lab on a chip.

[102]  P. Vlahovska,et al.  Dynamics of a viscous vesicle in linear flows. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[103]  U. Seifert,et al.  Influence of shear flow on vesicles near a wall: A numerical study. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[104]  W. R. Dean Fluid Motion in a Curved Channel , 1928 .

[105]  Roman Stocker,et al.  Separation of microscale chiral objects by shear flow. , 2009, Physical review letters.

[106]  Jie Xu,et al.  Oscillating bubbles: a versatile tool for lab on a chip applications. , 2012, Lab on a chip.

[107]  S. Balachandar,et al.  Wall-induced forces on a rigid sphere at finite Reynolds number , 2005, Journal of Fluid Mechanics.

[108]  Wim S. J. Uijttewaal,et al.  Droplet migration, deformation, and orientation in the presence of a plane wall: A numerical study compared with analytical theories , 1993 .

[109]  Robert C. Armstrong,et al.  Dynamics of polymeric liquids: Fluid mechanics , 1987 .

[110]  J. Sturm,et al.  Deterministic hydrodynamics: Taking blood apart , 2006, Proceedings of the National Academy of Sciences.

[111]  G. Segré,et al.  Radial Particle Displacements in Poiseuille Flow of Suspensions , 1961, Nature.

[112]  Daniel D. Joseph,et al.  Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 2. Couette and Poiseuille flows , 1994, Journal of Fluid Mechanics.

[113]  Vijay M. Naik,et al.  Hydrodynamic cavitation: a bottom-up approach to liquid aeration , 2012 .

[114]  Castellanos,et al.  Fluid flow induced by nonuniform ac electric fields in electrolytes on microelectrodes. II. A linear double-layer analysis , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[115]  Seifert,et al.  Shape transformations of vesicles: Phase diagram for spontaneous- curvature and bilayer-coupling models. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[116]  Roger H. Rangel,et al.  Motion of a sphere normal to a wall in a second-order fluid , 2007, Journal of Fluid Mechanics.

[117]  Hidesato Ito,et al.  Flow in curved pipes. , 1987 .

[118]  O. C. Blair,et al.  Practical Flow Cytometry , 1985, The Yale Journal of Biology and Medicine.

[119]  Giuliano Mazzini,et al.  Isolation of rare circulating tumor cells in cancer patients: technical aspects and clinical implications , 2011, Expert review of molecular diagnostics.

[120]  S. Quake,et al.  Microfluidics: Fluid physics at the nanoliter scale , 2005 .

[121]  Hsueh-Chia Chang,et al.  Understanding electrokinetics at the nanoscale: A perspective. , 2009, Biomicrofluidics.

[122]  P Dawson,et al.  The physics of the oscillating bubble made simple. , 2002, European journal of radiology.

[123]  Erich Sackmann,et al.  Weakly adhering vesicles in shear flow: Tanktreading and anomalous lift force , 2000 .

[124]  S. Ballas,et al.  Sickle cell anemia with few painful crises is characterized by decreased red cell deformability and increased number of dense cells , 1991, American journal of hematology.

[125]  Sungyoung Choi,et al.  Continuous hydrophoretic separation and sizing of microparticles using slanted obstacles in a microchannel. , 2007, Lab on a chip.

[126]  E. A. Neppiras,et al.  On the oscillation mode of gas-filled micropores. , 1985, The Journal of the Acoustical Society of America.

[127]  L. G. Leal,et al.  Inertial migration of rigid spheres in two-dimensional unidirectional flows , 1974, Journal of Fluid Mechanics.

[128]  Zhigang Wu,et al.  Soft inertial microfluidics for high throughput separation of bacteria from human blood cells. , 2009, Lab on a chip.

[129]  Sang Kug Chung,et al.  Micropumping by an Acoustically Excited Oscillating Bubble for Automated Implantable Microfluidic Devices , 2010 .

[130]  M. Yamada,et al.  Pinched flow fractionation: continuous size separation of particles utilizing a laminar flow profile in a pinched microchannel. , 2004, Analytical chemistry.

[131]  D. Di Carlo,et al.  Sheathless inertial cell ordering for extreme throughput flow cytometry. , 2010, Lab on a chip.

[132]  David W Inglis,et al.  Critical particle size for fractionation by deterministic lateral displacement. , 2006, Lab on a chip.

[133]  Adam E Cohen,et al.  Control of nanoparticles with arbitrary two-dimensional force fields. , 2005, Physical review letters.

[134]  H. Stone,et al.  Particle segregation and dynamics in confined flows. , 2009, Physical review letters.

[135]  Dominique Legendre,et al.  Drag, deformation and lateral migration of a buoyant drop moving near a wall , 2003, Journal of Fluid Mechanics.

[136]  Sabine Riethdorf,et al.  Detection and characterization of putative metastatic precursor cells in cancer patients. , 2007, Clinical chemistry.

[137]  H. Amini,et al.  Label-free cell separation and sorting in microfluidic systems , 2010, Analytical and bioanalytical chemistry.

[138]  Leslie Y Yeo,et al.  Ultrafast microfluidics using surface acoustic waves. , 2009, Biomicrofluidics.

[139]  Zachary Gagnon,et al.  Glutaraldehyde enhanced dielectrophoretic yeast cell separation. , 2009, Biomicrofluidics.

[140]  U Dinnar,et al.  Tunable nonlinear viscoelastic "focusing" in a microfluidic device. , 2007, Physical review letters.

[141]  G. Segré,et al.  Behaviour of macroscopic rigid spheres in Poiseuille flow Part 2. Experimental results and interpretation , 1962, Journal of Fluid Mechanics.

[142]  Yu Sun,et al.  Microfluidic approaches for cancer cell detection, characterization, and separation. , 2012, Lab on a chip.

[143]  Gwennou Coupier,et al.  Noninertial lateral migration of vesicles in bounded Poiseuille flow , 2008, 0803.3153.

[144]  Diana S. Hou,et al.  Rapid bioparticle concentration and detection by combining a discharge driven vortex with surface enhanced Raman scattering. , 2007, Biomicrofluidics.

[145]  A. Ladd,et al.  Inertial migration of neutrally buoyant particles in a square duct: An investigation of multiple equilibrium positions , 2006 .

[146]  Kohei Ogawa,et al.  Feasibility study on concentration of slurry and classification of contained particles by microchannel , 2004 .

[147]  Jae-Sung Park,et al.  Continuous focusing of microparticles using inertial lift force and vorticity via multi-orifice microfluidic channels. , 2009, Lab on a chip.

[148]  A. Hogg,et al.  The inertial migration of non-neutrally buoyant spherical particles in two-dimensional shear flows , 1994, Journal of Fluid Mechanics.

[149]  Chulhee Choi,et al.  Continuous blood cell separation by hydrophoretic filtration. , 2007, Lab on a chip.

[150]  Evgeny S. Asmolov,et al.  The inertial lift on a small particle in a weak-shear parabolic flow , 2002 .

[151]  Nicole K Henderson-Maclennan,et al.  Deformability-based cell classification and enrichment using inertial microfluidics. , 2011, Lab on a chip.

[152]  J. S. Halow,et al.  Radial migration of spherical particles in couette systems , 1970 .

[153]  Evgeny S. Asmolov,et al.  The inertial lift on a spherical particle in a plane Poiseuille flow at large channel Reynolds number , 1999, Journal of Fluid Mechanics.

[154]  R. Tompkins,et al.  Equilibrium separation and filtration of particles using differential inertial focusing. , 2008, Analytical chemistry.

[155]  S. Takagi,et al.  Drag and lift forces on a bubble rising near a vertical wall in a viscous liquid , 2002, Journal of Fluid Mechanics.

[156]  Yuliang Xie,et al.  Single-shot characterization of enzymatic reaction constants Km and kcat by an acoustic-driven, bubble-based fast micromixer. , 2012, Analytical chemistry.

[157]  A. van den Berg,et al.  High-yield cell ordering and deterministic cell-in-droplet encapsulation using Dean flow in a curved microchannel. , 2012, Lab on a chip.

[158]  A M Ardekani,et al.  Emergence of a limit cycle for swimming microorganisms in a vortical flow of a viscoelastic fluid. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[159]  M. Yamada,et al.  Continuous particle separation in a microchannel having asymmetrically arranged multiple branches. , 2005, Lab on a chip.

[160]  Manouk Abkarian,et al.  Vesicles and red blood cells in shear flow. , 2008, Soft matter.

[161]  Thomas Laurell,et al.  Noninvasive acoustic cell trapping in a microfluidic perfusion system for online bioassays. , 2007, Analytical chemistry.

[162]  N. Riley Acoustic Streaming , 1998 .

[163]  D. Di Carlo Inertial microfluidics. , 2009, Lab on a chip.

[164]  Gretar Tryggvason,et al.  A numerical study of the motion of drops in Poiseuille flow. Part 1. Lateral migration of one drop , 2000, Journal of Fluid Mechanics.

[165]  Tzuen-Rong J Tzeng,et al.  Electrokinetic focusing and filtration of cells in a serpentine microchannel. , 2009, Biomicrofluidics.

[166]  M. Bazant,et al.  Induced-charge electro-osmosis , 2003, Journal of Fluid Mechanics.

[167]  Daniel D. Joseph,et al.  Direct simulation of the motion of solid particles in Couette and Poiseuille flows of viscoelastic fluids , 1997, Journal of Fluid Mechanics.

[168]  D. Gossett,et al.  Particle focusing mechanisms in curving confined flows. , 2009, Analytical chemistry.

[169]  Susanne Braunmüller,et al.  Separation of blood cells using hydrodynamic lift , 2012 .

[170]  Joseph S. Heyman,et al.  Acoustophoresis separation method , 1993 .

[171]  L. G. Leal,et al.  Migration of rigid spheres in a two-dimensional unidirectional shear flow of a second-order fluid , 1976, Journal of Fluid Mechanics.

[172]  Daniel Ahmed,et al.  A fast microfluidic mixer based on acoustically driven sidewall-trapped microbubbles , 2009 .

[173]  L. G. Leal,et al.  Particle Motions in a Viscous Fluid , 1980 .

[174]  Mehmet Toner,et al.  A microfluidic device for practical label-free CD4(+) T cell counting of HIV-infected subjects. , 2007, Lab on a chip.

[175]  Mehmet Toner,et al.  Particle focusing in staged inertial microfluidic devices for flow cytometry. , 2010, Analytical chemistry.

[176]  Ronald Pethig,et al.  Biomarker-free dielectrophoretic sorting of differentiating myoblast multipotent progenitor cells and their membrane analysis by Raman spectroscopy. , 2012, Biomicrofluidics.

[177]  Jutamaad Satayavivad,et al.  Microfluidic approaches to malaria detection. , 2004, Acta tropica.

[178]  S. K. Hsu,et al.  The lateral migration of solid particles in a laminar flow near a plane , 1977 .

[179]  Hansen Bow,et al.  Microfluidics for cell separation , 2010, Medical & Biological Engineering & Computing.

[180]  E. J. Hinch,et al.  Inertial migration of a sphere in Poiseuille flow , 1989, Journal of Fluid Mechanics.

[181]  Fumio Takemura,et al.  The transverse force on clean and contaminated bubbles rising near a vertical wall at moderate Reynolds number , 2003, Journal of Fluid Mechanics.

[182]  L. G. Leal,et al.  The motion of a deformable drop in a second-order fluid , 1979, Journal of Fluid Mechanics.