Modelling nanoparticle transport in dielectrophoretic microdevices using a Fourier-Bessel series and applications for data analysis

Journal of Physics D: Applied Physics

Volumn 44, Issue 8, 2011, Pages

  Bakewell, D J ^a  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DATA ANALYSIS; DATA DECOMPOSITION; DIELECTROPHORESIS; DIELECTROPHORETIC; DIELECTROPHORETIC FORCES; FAR FIELD; FOURIER; FOURIER TRANSFORMATIONS; FOURIER-BESSEL SERIES; FREQUENCY DOMAINS; INTERDIGITATED ARRAYS; INVERSE PROCESS; MICRO DEVICES; MODEL PARAMETERS; MODULATION BANDWIDTH; NANOPARTICLE CONCENTRATIONS; SERIES SOLUTIONS; SYSTEM CLASSIFICATION; TEMPORAL MODES; TIME-DEPENDENT;

DIELECTRIC DEVICES; ELECTROPHORESIS; FOKKER PLANCK EQUATION; FOURIER ANALYSIS; FREQUENCY RESPONSE; METADATA; NANOPARTICLES; PORTABLE EQUIPMENT;

FOURIER SERIES;

EID: 79951782402     PISSN: 00223727     EISSN: 13616463     Source Type: Journal    
DOI: 10.1088/0022-3727/44/8/085501     Document Type: Article

References (36)

1. Reyes D R et al 2002 Micro total analysis systems: I. Introduction, theory, and t (Pubitemid 34651165)
2. Lab on a Chip. Cited; available from: http://pubs.rsc.org/en/Journals/ JournalIssues/LC
3. Abidin Z Z, Downes L and Markx G H 2007 Novel electrode structures for large scale dielectrophoretic separations based on textile technology J. Biotechnol. 130 183-7 (Pubitemid 46802860)
4. Abidin Z Z, Downes L and Markx G H 2007 Large scale dielectrophoretic construction of biofilms using textile technology Biotechnol. Bioeng. 96 1222-5 (Pubitemid 46648680)
5. Hilton A M, Lynch B P and Simpson G J 2005 Reduction of tip-sample contact using dielectrophoretic force scanning probe microscopy Anal. Chem. 77 8008-12 (Pubitemid 41831986)
6. Lynch B P et al 2005 Dielectrophoretic force microscopy of aqueous interfaces Langmuir 21 1436-40 (Pubitemid 40275082)
7. Gallo-Villanueva R C et al 2009 DNA manipulation by means of insulator-based dielectrophoresis employing direct current electric fields Electrophoresis 30 4195-205
8. Lapizco-Encinas B H, Ozuna-Chacon S and Rito-Palomares M 2008 Protein manipulation with insulator-based dielectrophoresis and direct current electric fields J. Chromatogr. A 1206 45-51
9. Yunus N A M and Green N G 2008 Continuous separation of submicron particles using angled electrodes J. Phys.: Conf. Ser. 142 012068
10. Hakala T K et al 2009 Field-induced nanolithography for high-throughput pattern transfer Small 5 2683-6
11. Cheon D, Kumar S and Kim G H 2010 Assembly of gold nanoparticles of different diameters between nanogap electrodes Appl. Phys. Lett. 96 013101
12. Sin M L Y et al 2009 Active manipulation of quantum dots using ac electrokinetics J. Phys. Chem. C 113 6561-5
13. Kayani A A et al 2010 Novel tuneable optical elements based on nanoparticle suspensions in microfluidics Electrophoresis 31 1071-9
14. Pohl H A 1978 Dielectrophoresis (Cambridge: Cambridge University Press)
15. Bakewell D J and Morgan H 2001 Measuring the frequency dependent polarizability of colloidal particles from dielectrophoretic collection data IEEE Trans. Dielectr. Electr. Insul. 8 566-71 (Pubitemid 32680725)
16. Bakewell D J and Morgan H 2006 Dielectrophoresis of DNA: Time- and frequency-dependent collections on microelectrodes IEEE Trans. Nanobiosci. 5 139-46 (Pubitemid 44144070)
17. Bakewell D J and Morgan H 2004 Quantifying dielectrophoretic collections of sub-micron particles on microelectrodes Meas. Sci. Technol. 15 254-66 (Pubitemid 38158243)
18. Gunda N S K and Mitra S K 2010 Modeling of dielectrophoretic transport of myoglobin molecules in microchannels Biomicrofluidics 4 014105
19. Sun T, Morgan H and Green N G 2007 Analytical solutions of ac electrokinetics in interdigitated electrode arrays Phys. Rev. E 76 046610
20. Morgan H et al 2001 The dielectrophoretic and travelling wave forces generated by interdigitated electrode arrays: Analytical solution using Fourier series J. Phys. D: Appl. Phys. 34 1553
21. Price J A R, Burt J P H and Pethig R 1988 Applications of a new optical technique for measuring the dielectrophoretic behaviour of microorganisms Biochim. Biophys. Acta 964 221-30
22. Talary M S and Pethig R 1994 Optical technique for measuring the positive and negative dielectrophoretic behaviour of cells and colloidal suspensions IEE Proc.-Sci. Meas. Technol. 141 395-9
23. Bakewell D J G 2008 Nanosize particle movement in time-modulated nonuniform electric fields: A Fourier-Bessel series model Biomems Nanotechnol. III 6799 1-12
24. Markx G H, Talary M S and Pethig R 1994 Separation of viable and nonviable yeast using dielectrophoresis J. Biotechnol. 32 29-37 (Pubitemid 24047815)
25. Castellanos A et al 2003 Electrohydrodynamics and dielectrophoresis in microsystems: scaling laws J. Phys. D: Appl. Phys. 36 2584
26. Bakewell D J G 2002 Dielectrophoresis of colloids and polyelectrolytes Electronics and Electrical Engineering (Glasgow: University of Glasgow) p 357
27. Gardiner C W 1985 Handbook of Stochastic Methods for Physics, Chemistry, and the Natural Sciences (Berlin: Springer)
28. Haken H 1978 Synergetics-an Introduction 2nd edn (Berlin: Springer)
29. Gradshteyn I S and Ryzhik I M 1994 Table of Integrals, Series, and Products 5th edn, ed A Jeffrey (London: Academic)
30. Press W H et al 2007 Numerical Recipes 3rd edn (Cambridge: Cambridge University Press)
31. Watson G N 1952 A Treatise on the Theory of Bessel Functions (Cambridge: Cambridge University Press)
32. Tolstov G P 1962 Fourier Series (Englewood Cliffs, NJ: Prentice-Hall)
33. Lebedev N N 1965 Special Functions and their Applications ed R A Silverman (Englewood Cliffs, NJ: Prentice-Hall)
34. Abramowitz M and Stegun I A 1965 Handbook of Mathematical Functions (Dover: New York)
35. Walpole R E and Myers R H 1978 Probability and Statistics for Engineers and Scientists 2nd edn (New York: Macmillan)
36. Carlson A B, Crilly P B and Rutledge J C 2002 Communication Systems: An Introduction to Signals and Noise in Electrical Communication 4th edn (New York: McGraw Hill)