General expressions for dielectrophoretic force and electrorotational torque derived using the Maxwell stress tensor method

Journal of Electrostatics

Volumn 39, Issue 4, 1997, Pages 277-295

  Wang, Xujing ^a   Wang, Xiao Bo ^a   Gascoyne, Peter R C ^a  

^a UNIVERSITY OF TEXAS MD ANDERSON CANCER CENTER   (United States)

Author keywords

Dielectrophoresis; Electrorotation; Maxwell stress tensor

Indexed keywords

DIELECTRIC MATERIALS; ELECTRIC FIELD EFFECTS; ELECTRODYNAMICS; ELECTROPHORESIS; TENSORS;

DIELECTROPHORESIS; ELECTROROTATION; MAXWELL STRESS TENSOR;

ELECTROSTATICS;

EID: 0031210079     PISSN: 03043886     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3886(97)00126-5     Document Type: Article

References (27)

1. U. Zimmermann, G. A. Neil, Electromanipulation of Cells, CRC Press, Boca Raton, 1996.
2. P.T. Lynch, M.R. Davey, Electrical Manipulation of Cells, Chapman & Hall, New York, 1996.
3. R. Hölzel, I. Lamprecht, M. Mischel, in: W. Schutt, H. Klinkmann, I. Lamprecht, T. Wilson (Eds.), Physical Characterization of Biological Cells, Verlag Gesundheit Gmh, Berlin, 1991, p. 273.
4. J. Gimsa, R. Glaser, G. Fuhr, in: W. Schutt, H. Klinkmann, I. Lamprecht, T. Wilson (Eds.), Physical Characterization of Biological Cells, Verlag Gesundheit Gmh, Berlin, 1991, p. 295.
5. T.Y. Tsong, On electroporation of cell membranes and some related phenomena, Bioelectrochem. Bioenerg. 24 (1990) 271.
6. G. Schwarz, General equation for the mean electrical energy of a dielectric body in an alternating electrical field, J. Chem. Phys. 39 (1963) 2387.
7. L.D. Sher, Dielectrophoresis in lossy dielectric media, Nature 220 (1968) 695.
8. H.A. Pohl, J.S. Crane, Dielectrophoretic force, J. Theor. Biol. 37 (1972) 1.
9. F.A. Sauer, in: H. Frohlich, F. Kremer (Eds.), Coherent Excitations in Biological Systems, Springer, Berlin, 1983.
10. T.B. Jones, Dielectrophoretic force calculation, J. Electrostat. 6 (1979) 69.
11. X.-B. Wang, Y. Huang, F.F. Becker, P.R.C. Gascoyne, A unified theory of dielectrophoresis and traveling wave dielectrophoresis, J. Phys. D: Appl. Phys. 27 (1994) 1571.
12. M. Washizue, T.B. Jones, Multipolar dielectrophoretic force calculation, J. Electrostat. 33 (1994) 187.
13. T.B. Jones, M. Washizu, Equilibria and dynamics of DEP-levitated particles: multipolar theory, J. Electrostat. 33 (1994) 199.
14. T.B. Jones, M. Washizu, Multipolar dielectrophoretic and electrorotation theory, J. Electrostat. 37 (1996) 121.
15. F.A. Sauer, R.W. Schlögl, in: A. Chiabrera, C. Nicolini, H.P. Schwan (Eds.), Interactions Between Electromagnetic Fields and Cells, Plenum Publ. Co., New York 1985, p. 203; F.A. Sauer, p. 181.
16. T.B. Jones, Electromechanics of Particles, Cambridge University Press, Cambridge, 1995.
17. U. Zimmermann, G.A. Neil, Electromanipulation of Cells, CRC Press, Boca Raton, 1995.
18. E.R. Mognaschi, A. Savini, The action of a non-uniform electric field upon lossy dielectric systems -ponderomotive force on a dielectric sphere in the field of a point charge, J. Phys. D: Appl. Phys. 16 (1983) 1533.
19. Yu.A. Chizmadzhev, P.I. Kuzmin, V.Ph. Pastushenko, Theory of the dielectrophoresis of vescicles and cells, Biologicheskie Membrany 2 (1085) 1147.
20. V.Ph. Pastushenko, P.I. Kuzmin, Yu.A. Chizmadzhev, Dielectrophoresis and electrorotation: a unified theory of spherically symmetrical cells, Studia Biophysica 110 (1985) 51.
21. V.Ph. Pastushenko, P.I. Kuzmin, Yu.A. Chizmadzhev, Dielectrophoresis and electrorotation: unified theory for spherically symmetrical cells with arbitrary structure of membrane, Biologicheskie Membrane 5 (1988) 65.
22. Th. Schnelle, R. Hagedorn, G. Fuhr, S. Fielder, T. Müller, Three-dimensional electric field traps for manipulation of cells - calculation and experimental verification, Biochem. Biophys. Acta 1157 (1993) 127.
23. R. Paul, K.V.I.S. Kaler, Effects of particle shape on electromagnetic torques: a comparison of the effective-dipole-moment method with the Maxwell-stress-tensor method, Phys. Rev. E 48 (1993) 1491.
24. J.D. Jackson, Classical Electrodynamics, Wiley, New York, 1978.
25. J.A. Stratton, Electromagnetic Theory, McGraw-Hill, New York, 1941.
26. X. Wang, X-B. Wang, F.F. Becker, P.R.C. Gascoyne, A theoretical method of electrical field analysis for dielectrophoretic electrode arrays using Green's theorem, J. Phys. D. Appl. Phys. 29 (1996) 1649.
27. J. Yang, unpublished data.