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2013 | 11 | 4 | 760-778
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Numerical simulation of surface acoustic wave actuated cell sorting

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We consider the mathematical modeling and numerical simulation of high throughput sorting of two different types of biological cells (type I and type II) by a biomedical micro-electro-mechanical system (BioMEMS) whose operating behavior relies on surface acoustic wave (SAW) manipulated fluid flow in a microchannel. The BioMEMS consists of a separation channel with three inflow channels for injection of the carrier fluid and the cells, two outflow channels for separation, and an interdigital transducer (IDT) close to the lateral wall of the separation channel for generation of the SAWs. The cells can be distinguished by fluorescence. The inflow velocities are tuned so that without SAW actuation a cell of type I leaves the device through a designated outflow channel. However, if a cell of type II is detected, the IDT is switched on and the SAWs modify the fluid flow so that the cell leaves the separation channel through the other outflow boundary. The motion of a cell in the carrier fluid is modeled by the Finite Element Immersed Boundary method (FE-IB). Numerical results are presented that illustrate the feasibility of the surface acoustic wave actuated cell sorting approach.
  • [1] Alberts B., Johnson A., Lewis J., Raff M., Roberts K., Walter P., Molecular Biology of the Cell, 4th ed., Garland Science, New York, 2002
  • [2] Antil H., Glowinski R., Hoppe R.H.W., Linsenmann C., Pan T.-W., Wixforth A., Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips, J. Comput. Math., 2010, 28(2), 149–169
  • [3] Bekah D., Measurement of Viscoelastic Properties of Treated and Untreated Cancer Cells Using Passive Microrheology, MSc thesis, Ryerson University, Toronto, 2010, available at
  • [4] Boffi D., Cavallini N., Gastaldi L., Finite element approach to immersed boundary method with different fluid and solid densities, Math. Models Methods Appl. Sci., 2011, 21(12), 2523–2550
  • [5] Boffi D., Gastaldi L., A finite element approach for the immersed boundary method, Comput.&Structures, 2003, 81(8–11), 491–501
  • [6] Boffi D., Gastaldi L., Heltai L., Numerical stability of the finite element immersed boundary method, Math. Models Methods Appl. Sci., 2007, 17(10), 1479–1505
  • [7] Brezzi F., Fortin M., Mixed and Hybrid Finite Element Methods, Springer Ser. Comput. Math., 15, Springer, Berlin-Heidelberg-New York, 1991
  • [8] Carey J.L., McCoy J.P., Keren D.F. (Eds.), Flow Cytometry in Clinical Diagnostics, 4th ed., American Society for Clinical Pathology Press, Chicago, 2007
  • [9] Cui H.-H., Voldman J., He X.-F., Lim K.-M., Separation of particles by pulsed dielectrophoresis, Lab on a Chip, 2009, 9(16), 2306–2312
  • [10] Eisenstein M., Cell sorting: divide and conquer, Nature, 2006, 441, 1179–1185
  • [11] Eringen A.C., Maugin G.A., Electrodynamics of Continua I, Springer, Berlin-Heidelberg-New York, 1990
  • [12] Franke T., Braunmüller S., Frommelt T., Wixforth A., Sorting of solid and soft objects in vortices driven by surface acoustic waves, SPIE Proceedings, 2009, 7365, #73650O
  • [13] Franke T., Braunmüller S., Schmid L., Wixforth A., Weitz D.A., Surface acoustic wave actuated cell sorting (SAWACS), Lab on a Chip, 2010, 10(6), 789–794
  • [14] Franke T., Hoppe R.H.W., Linsenmann C., Schmid L., Willbold C., Wixforth A., Numerical simulation of the motion of red blood cells and vesicles in microfluidic flows, Comput. Vis. Sci., 2011, 14(4), 167–180
  • [15] Gantner A., Hoppe R.H.W., Köster D., Siebert K.G., Wixforth A., Numerical simulation of piezoelectrically agitated surface acoustic waves on microfluidic biochips, Comput. Vis. Sci., 2007, 10(3), 145–161
  • [16] Hawley T.S., Hawley R.G. (Eds.), Flow Cytometry Protocols, 2nd ed., Methods in Molecular Biology, 263, Humana Press, Totowa, 2004
  • [17] Hoppe R.H.W., Linsenmann C., An adaptive Newton continuation strategy for the fully implicit finite element immersed boundary method, J. Comput. Phys., 2012, 231(14), 4676–4693
  • [18] Maugin G.A., Continuum Mechanics of Electromagnetic Solids, North-Holland Ser. Appl. Math. Mech., 33, North-Holland, Amsterdam, 1988
  • [19] Pamme N., Continuous flow separations in microfluidic devices, Lab on a Chip, 2007, 7(12), 1644–1659
  • [20] Peskin C.S., Numerical analysis of flood flow in the heart, J. Comput. Phys., 1977, 25(3), 220–252
  • [21] Peskin C.S., The immersed boundary method, Acta Numer., 2002, 11, 479–517
  • [22] Petersson F., Åberg L., Swärd-Nilsson A.-M., Laurell T., Free flow acoustophoresis: Microfluidic-based mode of particle and cell separation, Analytical Chemistry, 2007, 79(14), 5117–5123
  • [23] Qu B.-Y., Wu Z.-Y., Fang F., Bai Z.-M., Yang D.-Z., Xu S.-K., A glass microfluidic chip for continuous blood cell sorting by a magnetic gradient without labeling, Analytical and Bioanalytical Chemistry, 2008, 392(7–8), 1317–1324
  • [24] Seo J., Lean M.H., Kole A., Membrane-free microfiltration by asymmetrical inertial migration, Applied Physics Letters, 2007, 91(3), #033901
  • [25] Shapiro H.M., Practical Flow Cytometry, John Wiley & Sons, Hoboken, 2003
  • [26] Shi J., Huang H., Stratton Z., Huang Y., Huang T.J., Continuous particle separation in a microfluidic channel via standing surface acoustic waves (SSAW), Lab on a Chip, 2009, 9(23), 3354–3359
  • [27] Shi J., Mao X., Ahmed D., Colletti A., Huang T.J., Focusing microparticles in a microfluidic channel with standing surface acoustic waves (SSAW), Lab on a Chip, 2008, 8(2), 221–223
  • [28] Skalak R., Chien S., Handbook of Bioengineering, McGraw-Hill, New York, 1987
  • [29] Sklar L.A. (Ed.), Flow Cytometry for Biotechnology, Oxford University Press, New York, 2005
  • [30] Tartar L., An Introduction to Sobolev Spaces and Interpolation Spaces, Lect. Notes Unione Mat. Ital., 3, Springer, Berlin, 2007
  • [31] Valero A., Braschler T., Demierre N., Renaud P., A miniaturized continuous dielectrophoretic cell sorter and its applications, Biomicrofluidics, 2010, 4(2), #022807
  • [32] Zborowski M., Chalmers J.J., Magnetic cell sorting, In: Immunochemical Protocols, Methods in Molecular Biology, 295, Humana Press, New York, 2005, 291–300
  • [33] Zhu J., Xuan X., Curvature-induced dielectrophoresis for continuous separation of particles by charge in spiral microchannels, Biomicrofluidics, 2011, 5(2), #024111
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