Electrorotation of Arbitrarily Shaped Micro-Objects: Modeling and Experiments

In this article, we study the electrorotational behavior of nonspherical micro-objects. We extend a control-oriented model of general dielectrophoresis to incorporate also the hydrodynamics so that we can predict the motion of nonspherical micro-objects in fluidic environments. Such a mathematical (computational) model enables model-based feedback control of a position and orientation of particles by real-time (online) computation of voltages applied to the electrodes. We use the measured data from experiments with electrorotation of an artificial micro-object having a Tetris-like shape to evaluate the performance of the proposed model. We also demonstrate the qualitative difference in behavior from the commonly performed electrorotation of a sphere advocating the necessity for model-based control. Further analysis of the simulation results for other than the experimentally explored scenarios provides additional useful insight into the electrorotational behavior of nonspherical objects.

[1]  T. Jones,et al.  Basic theory of dielectrophoresis and electrorotation , 2003, IEEE Engineering in Medicine and Biology Magazine.

[2]  G. J. Brakenhoff,et al.  Refractive index and axial distance measurements in 3-D microscopy , 1992 .

[3]  R. Pethig,et al.  Dielectrophoresis: Theory, Methodology and Biological Applications , 2017 .

[4]  Michaël Gauthier,et al.  2D open loop trajectory control of a micro-object in a dielectrophoresis-based device , 2012, 2012 IEEE International Conference on Automation Science and Engineering (CASE).

[5]  C. Cametti,et al.  Numerical simulation of dielectric spectra of aqueous suspensions of non-spheroidal differently shaped biological cells , 2009 .

[6]  P. Wong,et al.  Electrokinetics in micro devices for biotechnology applications , 2004, IEEE/ASME Transactions on Mechatronics.

[7]  H. Morgan,et al.  Electro-orientation and electrorotation of metal nanowires. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  H. Morgan,et al.  Characterization of non-spherical polymer particles by combined electrorotation and electroorientation , 2011 .

[9]  P. Benhal,et al.  System identification and stochastic estimation of dielectric properties of a spherical particle using AC-induced electro-rotation , 2015, 2015 20th International Conference on Process Control (PC).

[10]  M. Egger,et al.  Electrorotation of dumb-bell shaped particles: Theory and experiment , 1991 .

[11]  James K. Mills,et al.  Planar Cell Orientation Control System Using a Rotating Electric Field , 2015, IEEE/ASME Transactions on Mechatronics.

[12]  John Aurie Dean,et al.  Lange's Handbook of Chemistry , 1978 .

[13]  SU-8 Photoresist , 2012 .

[14]  Ki-Ho Han,et al.  An electrorotation technique for measuring the dielectric properties of cells with simultaneous use of negative quadrupolar dielectrophoresis and electrorotation. , 2013, The Analyst.

[15]  T. Jones,et al.  Electro-orientation of ellipsoidal erythrocytes. Theory and experiment. , 1993, Biophysical journal.

[16]  Benjamin Shapiro,et al.  Simultaneous positioning and orientation of a single nano-object by flow control: theory and simulations , 2011 .

[17]  Thomas B. Jones,et al.  Electromechanics of Particles , 1995 .

[18]  E. Muto,et al.  Dielectric measurement of individual microtubules using the electroorientation method. , 2006, Biophysical journal.

[19]  Z. Hurák,et al.  Control-oriented model of dielectrophoresis and electrorotation for arbitrarily shaped objects. , 2019, Physical review. E.

[20]  Ted Belytschko,et al.  Immersed electrokinetic finite element method , 2007 .

[21]  H. A. Pohl,et al.  Dielectrophoresis: The Behavior of Neutral Matter in Nonuniform Electric Fields , 1978 .

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

[23]  F. Liang,et al.  Single-cell 3D electro-rotation. , 2018, Methods in cell biology.

[24]  Giovanni De Gasperis,et al.  Automated electrorotation: dielectric characterization of living cells by real-time motion estimation , 1998 .

[25]  Hywel Morgan,et al.  Dielectrophoretic manipulation of rod-shaped viral particles , 1997 .

[26]  D. Faivre,et al.  Swimming with magnets: From biological organisms to synthetic devices , 2019, Physics Reports.

[27]  Jake J. Abbott,et al.  How Should Microrobots Swim? , 2009, ISRR.

[28]  J. Happel,et al.  Low Reynolds number hydrodynamics: with special applications to particulate media , 1973 .

[29]  Hywel Morgan,et al.  AC ELECTROKINETICS: COLLOIDS AND NANOPARTICLES. , 2002 .

[30]  Tomáš Michálek,et al.  Feedback control for noise‐aided parallel micromanipulation of several particles using dielectrophoresis , 2015, Electrophoresis.

[31]  Michael P. Hughes,et al.  Nanoelectromechanics in Engineering and Biology , 2002 .

[32]  Z. Hurák,et al.  Phase-shift feedback control for dielectrophoretic micromanipulation. , 2018, Lab on a chip.