best design for a fastest cells selecting process - ENS de Cachan ...

12 MICHEL PIERRE AND GRÉGORY VIAL•• ••• ••• ••Figure 5. Initial circular electrodes (left) and optimized electrodes (right).REFERENCES[1] A. V. Bitsadze. Integral equations of rst kind, volume 7 of Series on Soviet and East European Mathematics.World Scientic Publishing Co. Inc., River Edge, NJ 1995.[2] T. Carleman. Über die Abelsche Integralgleichung mit konstanten Integrationsgrenzen. Math. Z. 15(1) (1922)111120.[3] G. I. Eskin. Boundary value problems for elliptic pseudodierential equations, volume 52 of Translations ofMathematical Monographs. American Mathematical Society, Providence, R.I. 1981. Translated from the Russianby S. Smith.[4] M. Frénéa, S. P. Faure, B. L. Pioufle, P. Coquet, H. Fujita. Positioning living cells on a high-densityelectrode array by negative dielectrophoresis. Materials Science and Engineering: C 23(5) (2003) 597603.[5] Y. Huang, R. Pethig. Electrode design for negative dielectrophoresis. Measurement Science and Technology2(12) (1991) 11421146.[6] T. Jones. Electromechanics of Particles. Cambridge University Press, Cambridge 1995.[7] H. Morgan, M. P. Hughes, N. G. Green. Separation of submicron bioparticles by dielectrophoresis. Biophysicaljournal 77(1) (1999) 516525.[8] H. A. Pohl. The motion and precipitation of suspensoids in divergent electric elds. Journal of Applied Physics22(7) (1951) 869871.[9] H. A. Pohl. Dielectrophoresis. Cambridge University Press, Cambridge 1978.[10] A. D. Polyanin, A. V. Manzhirov. Handbook of integral equations. Chapman & Hall/CRC, Boca Raton,FL, second edition 2008.E-mail address: michel.pierre@bretagne.ens-cachan.frE-mail address: gregory.vial@bretagne.ens-cachan.fr