Abstract
We use theory, simulation, and experiment to quantify the dielectrophoretic force produced on spherical colloidal particles exposed to an interdigitated electrode array in a microfluidic environment. Our analytical predictions are based on a simplified two-dimensional model and agree with numerical solutions based on a finite difference scheme. Theoretical predictions align with experimental results without any fitting parameters over a wide range of frequencies and applied voltages. A frequency–response function for negative-dielectrophoresis instruments is derived by developing an equivalent electrical circuit model to understand the system power requirements better. Finally, we investigate the role of electrode width and array spacing on the magnitude and distance dependence of the negative dielectrophoresis force. Our analyses show that the electrode width controls the lateral position of the particles, whereas the voltage controls the vertical position. The strongest forces are achieved when the array spacing is matched to the particle size and when the electrode width is ~1/3 of the array spacing. These results can improve the design and optimization of negative-dielectrophoresis microfluidic instruments for applications in the separation and purification of colloidal microparticles in microelectromechanical systems.
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References
Abedini-Nassab R (2019) Magnetomicrofluidic platforms for organizing arrays of single-particles and particle-pairs. J Microelectromech Syst 28(4):732–738
Abedini-Nassab R, Bahrami S (2021) Synchronous control of magnetic particles and magnetized cells in a tri-axial magnetic field. Lab Chip. https://doi.org/10.1039/D1LC00097G
Abedini-Nassab R, Emami SM, Nowghabi AN (2021) Nanotechnology and acoustics in medicine and biology. Recent Pat Nanotechnol. https://doi.org/10.2174/1872210515666210428134424
Albrecht DR, Sah RL, Bhatia SN (2004) Geometric and material determinants of patterning efficiency by dielectrophoresis. Biophys J 87(4):2131–2147. https://doi.org/10.1529/biophysj.104.039511
Arnold MS, Green AA, Hulvat JF, Stupp SI, Hersam MC (2006) Sorting carbon nanotubes by electronic structure using density differentiation. Nat Nano 1(1):60–65. https://doi.org/10.1038/nnano.2006.52
Becker FF, Wang XB, Huang Y, Pethig R, Vykoukal J, Gascoyne PR (1995) Separation of human breast cancer cells from blood by differential dielectric affinity. Proc Natl Acad Sci USA 92(3):860–864
Castellanos A, Ramos A, González A, Green NG, Morgan H (2003) Electrohydrodynamics and dielectrophoresis in microsystems: scaling laws. J Phys D Appl Phys 36(20):2584
Cheng IF, Froude VE, Zhu Y, Chang HC, Chang HC (2009) A continuous high-throughput bioparticle sorter based on 3D traveling-wave dielectrophoresis. Lab Chip 9(22):3193–3201. https://doi.org/10.1039/b910587e
Crews N, Darabi J, Voglewede P, Guo F, Bayoumi A (2007) An analysis of interdigitated electrode geometry for dielectrophoretic particle transport in micro-fluidics. Sens Actuators, B Chem 125(2):672–679. https://doi.org/10.1016/j.snb.2007.02.047
Cui HH, Voldman J, He XF, Lim KM (2009) Separation of particles by pulsed dielectrophoresis. Lab Chip 9(16):2306–2312. https://doi.org/10.1039/b906202e
Dalili A, Montazerian H, Sakthivel K, Tasnim N, Hoorfar M (2021) Dielectrophoretic manipulation of particles on a microfluidics platform with planar tilted electrodes. Sens Actuators, B Chem 329:129204
Fiedler S, Shirley SG, Schnelle T, Fuhr G (1998) Dielectrophoretic sorting of particles and cells in a microsystem. Anal Chem 70(9):1909–1915
Fuhr G et al (1992) Levitation, holding, and rotation of cells within traps made by high-frequency fields. Biochim Biophys Acta 1108(2):215–223
Gagnon ZR (2011) Cellular dielectrophoresis: applications to the characterization, manipulation, separation and patterning of cells. Electrophoresis 32(18):2466–2487. https://doi.org/10.1002/elps.201100060
Gao D et al (2017) Optical manipulation from the microscale to the nanoscale: fundamentals, advances and prospects. Light Sci Appl 6(9):e17039. https://doi.org/10.1038/lsa.2017.39
Gascoyne PR, Vykoukal J (2002) Particle separation by dielectrophoresis. Electrophoresis 23(13):1973–1983. https://doi.org/10.1002/1522-2683(200207)23:13%3c1973::AID-ELPS1973%3e3.0.CO;2-1
Geiger D, Neckernuss T, Pfeil J, Schwilling P, Marti O (2019) High throughput optical analysis and sorting of cells and particles in microfluidic systems. In Microfluidics, BioMEMS, and Medical Microsystems XVII, vol. 10875, p. 1087517. International Society for Optics and Photonics, Washington.
Gerard HM, Ronald P, Juliette R (1997) The dielectrophoretic levitation of latex beads, with reference to field-flow fractionation. J Phys D Appl Phys 30(17):2470
Green NG, Morgan H, Milner JJ (1997) Manipulation and trapping of sub-micron bioparticles using dielectrophoresis. J Biochem Biophys Methods 35(2):89–102. https://doi.org/10.1016/S0165-022X(97)00033-X
Hamada R, Takayama H, Shonishi Y, Mao L, Nakano M, Suehiro J (2013) A rapid bacteria detection technique utilizing impedance measurement combined with positive and negative dielectrophoresis. Sens Actuators, B Chem 181:439–445. https://doi.org/10.1016/j.snb.2013.02.030
Javanmard M, Emaminejad S, Dutton RW, Davis RW (2012) Use of negative dielectrophoresis for selective elution of protein-bound particles. Anal Chem 84(3):1432–1438. https://doi.org/10.1021/ac202508u
Jones TB (1995) Electromechanics of particles. Cambridge University Press, Cambridge
Krupke R, Hennrich F, Lohneysen H, Kappes MM (2003) Separation of metallic from semiconducting single-walled carbon nanotubes. Science 301(5631):344–347. https://doi.org/10.1126/science.1086534
Kullock R, Ochs M, Grimm P, Emmerling M, Hecht B (2020) Electrically-driven Yagi-Uda antennas for light. Nat Commun 11(1):115. https://doi.org/10.1038/s41467-019-14011-6
Lin Y, Shiomi J, Amberg G (2009) Numerical calculation of the dielectrophoretic force on a slender body. Electrophoresis 30(5):831–838. https://doi.org/10.1002/elps.200800599
Lorenz M, Weber AP, Baune M, Thöming J, Pesch GR (2020) Aerosol classification by dielectrophoresis: a theoretical study on spherical particles. Sci Rep 10(1):10617. https://doi.org/10.1038/s41598-020-67628-9
Madiyar FR, Syed LU, Culbertson CT, Li J (2013) Manipulation of bacteriophages with dielectrophoresis on carbon nanofiber nanoelectrode arrays. Electrophoresis 34(7):1123–1130. https://doi.org/10.1002/elps.201200486
Morgan H, Green NG (1997) Dielectrophoretic manipulation of rod-shaped viral particles. J Electrostat 42(3):279–293. https://doi.org/10.1016/S0304-3886(97)00159-9
Morgan H, Izquierdo AG, Bakewell D, Green NG, Ramos A (2001) The dielectrophoretic and travelling wave forces generated by interdigitated electrode arrays: analytical solution using Fourier series. J Phys D Appl Phys 34(10):1553–1561. https://doi.org/10.1088/0022-3727/34/10/316
Nasiri R, Shamloo A, Akbari J, Tebon P, Dokmeci MR, Ahadian S (2020) Design and simulation of an integrated centrifugal microfluidic device for CTCs separation and cell lysis. Micromachines 11(7):699
Ngo T-T, Shirzadfar H, Kourtiche D, Nadi M (2014) A planar interdigital sensor for bio-impedance measurement: theoretical analysis, optimization and simulation. J Nano- Electron Phys 6:1011
Ohiri KA, Kelly ST, Motschman JD, Lin KH, Wood KC, Yellen BB (2018) An acoustofluidic trap and transfer approach for organizing a high density single cell array. Lab Chip 18(14):2124–2133. https://doi.org/10.1039/c8lc00196k
Pethig R (2010) Review article-dielectrophoresis: status of the theory, technology, and applications. Biomicrofluidics 4(2):022811. https://doi.org/10.1063/1.3456626
Pohl HA (1951) The motion and precipitation of suspensoids in divergent electric fields. J Appl Phys 22(7):869–871. https://doi.org/10.1063/1.1700065
Pohl HA, Hawk I (1966) Separation of living and dead cells by dielectrophoresis. Science 152(3722):647–649. https://doi.org/10.1126/science.152.3722.647-a
Ramos A, Morgan H, Green NG, Castellanos A (1998) Ac electrokinetics: a review of forces in microelectrode structures. J Phys D Appl Phys 31(18):2338
Ramos A, Morgan H, Green NG, Castellanos A (1999) AC electric-field-induced fluid flow in microelectrodes. J Colloid Interface Sci 217(2):420–422. https://doi.org/10.1006/jcis.1999.6346
Rosenthal A, Voldman J (2005) Dielectrophoretic traps for single-particle patterning. Biophys J 88(3):2193–2205. https://doi.org/10.1529/biophysj.104.049684
Sang S et al (2016) Portable microsystem integrates multifunctional dielectrophoresis manipulations and a surface stress biosensor to detect red blood cells for hemolytic anemia. Sci Rep 6:33626. https://doi.org/10.1038/srep33626
Saucedo-Espinosa MA, Lapizco-Encinas BH (2015) Experimental and theoretical study of dielectrophoretic particle trapping in arrays of insulating structures: effect of particle size and shape. Electrophoresis 36(9–10):1086–1097. https://doi.org/10.1002/elps.201400408
Schnelle T, Hagedorn R, Fuhr G, Fiedler S, Muller T (1993) Three-dimensional electric field traps for manipulation of cells–calculation and experimental verification. Biochim Biophys Acta 1157(2):127–140
Schnelle T, Müller T, Fuhr G (2000) Trapping in AC octode field cages. J Electrostat 50(1):17–29. https://doi.org/10.1016/S0304-3886(00)00012-7
Sedgwick H, Caron F, Monaghan PB, Kolch W, Cooper JM (2008) Lab-on-a-chip technologies for proteomic analysis from isolated cells. J R Soc Interface 5(Suppl 2):S123–S130. https://doi.org/10.1098/rsif.2008.0169
Shen F, Park J-K (2018) Toxicity assessment of iron oxide nanoparticles based on cellular magnetic loading using magnetophoretic sorting in a trapezoidal microchannel. Anal Chem 90(1):920–927
Taatizadeh E et al (2021) Micron-sized particle separation with standing surface acoustic wave—experimental and numerical approaches. Ultrason Sonochem 76:105651
Talebjedi B, Ghazi M, Tasnim N, Janfaza S, Hoorfar M (2021) Performance optimization of a novel passive T-shaped micromixer with deformable baffles. Chem Eng Process Process Intensif 163:108369
Talebjedi B, Tasnim N, Hoorfar M, Mastromonaco GF, De Almeida Monteiro Melo Ferraz M (2021) Exploiting microfluidics for extracellular vesicle isolation and characterization: potential use for standardized embryo quality assessment. Front Vet Sci 7:1139
Techaumnat B, Eua-arporn B, Takuma T (2004) Calculation of electric field and dielectrophoretic force on spherical particles in chain. J Appl Phys 95(3):1586–1593. https://doi.org/10.1063/1.1637138
Urdaneta M, Smela E (2007) Multiple frequency dielectrophoresis. Electrophoresis 28(18):3145–3155. https://doi.org/10.1002/elps.200600786
Voldman J (2006) Electrical forces for microscale cell manipulation. Annu Rev Biomed Eng 8:425–454. https://doi.org/10.1146/annurev.bioeng.8.061505.095739
Voldman J, Braff RA, Toner M, Gray ML, Schmidt MA (2001) Holding forces of single-particle dielectrophoretic traps. Biophys J 80(1):531–541. https://doi.org/10.1016/S0006-3495(01)76035-3
Voldman J, Toner M, Gray ML, Schmidt MA (2003) Design and analysis of extruded quadrupolar dielectrophoretic traps. J Electrostat 57(1):69–90. https://doi.org/10.1016/S0304-3886(02)00120-1
Wang XB, Huang Y, Holzel R, Burt JPH, Pethig R (1993) Theoretical and experimental investigations of the interdependence of the dielectric, dielectrophoretic and electrorotational behaviour of colloidal particles. J Phys D Appl Phys 26(2):312
Wang XB, Vykoukal J, Becker FF, Gascoyne PR (1998) Separation of polystyrene microbeads using dielectrophoretic/gravitational field-flow-fractionation. Biophys J 74(5):2689–2701. https://doi.org/10.1016/S0006-3495(98)77975-5
Wang L, Lu J, Marchenko SA, Monuki ES, Flanagan LA, Lee AP (2009) Dual frequency dielectrophoresis with interdigitated sidewall electrodes for microfluidic flow-through separation of beads and cells. Electrophoresis 30(5):782–791. https://doi.org/10.1002/elps.200800637
Wang H, Enders A, Preuss JA, Bahnemann J, Heisterkamp A, Torres-Mapa ML (2021) 3D printed microfluidic lab-on-a-chip device for fiber-based dual beam optical manipulation. Sci Rep 11(1):14584. https://doi.org/10.1038/s41598-021-93205-9
Yan S et al (2014) On-chip high-throughput manipulation of particles in a dielectrophoresis-active hydrophoretic focuser. Sci Rep 4:5060. https://doi.org/10.1038/srep05060
Yu ES et al (2020) Precise capture and dynamic relocation of nanoparticulate biomolecules through dielectrophoretic enhancement by vertical nanogap architectures. Nat Commun 11(1):2804. https://doi.org/10.1038/s41467-020-16630-w
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The authors are thankful to Dr. Benjamin Yellen of Duke University for his support.
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Abedini-Nassab, R., Wirfel, J., Talebjedi, B. et al. Quantifying the dielectrophoretic force on colloidal particles in microfluidic devices. Microfluid Nanofluid 26, 38 (2022). https://doi.org/10.1007/s10404-022-02544-0
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DOI: https://doi.org/10.1007/s10404-022-02544-0