Efficient modeling approach for optimization of a system based on passive diamagnetic levitation as a platform for bio‐medical applications

H.Chetouani1, B.Delinchant1, G.Reyne1
1Laboratoire d'Electrotechnique de Grenoble (LEG), ENSIEG, Domaine Universitaire, Saint Martin d'Hères, France

Tóm tắt

PurposeThis paper aims to present a modeling approach of diamagnetic microsystems for design and optimization requirements. It is demonstrated on the stabilisation optimization of a diamagnetic levitation system for biomedical applications.Design/methodology/approachSurface approach was used to compute analytically the magnetic field induction. This modeling is depending on system to design (approximation, equation simplifications due to specific geometries) coupled with a design framework which is based on symbolic equation derivation and SQP constrained optimization algorithm.FindingsOptimally stabilized magnetic levitating systems, for a pyrolitic graphite micro plate and for a latex bead.Research limitations/implicationsThe analytical or semi‐analytical modeling of magnetic field induction and forces produced by complex geometries is sometimes either hard to establish or not adequate to perform a fast optimization, due to heavy numerical parts implemented into the device modeling.Practical implicationsImplications are of two kinds. First are results of the magnetic levitating system which can improve lab on a chip for biomedical applications. Second is design framework improvement with diamagnetic modeling capabilities.Originality/valueStability optimization of diamagnetic levitation system, based on an original approach of modeling and sizing with dedicated tools.

Từ khóa


Tài liệu tham khảo

Akoun, G. and Yonnet, J.‐P. (1984), “3D analytical calculation of the forces exerted between two cuboidal magnets”, IEEE Transactions on Magnetics, Vol. 20 No. 5, pp. 1962‐4.

Boukallel, M., Piat, E. and Abadie, J. (2003), “Levitated micro‐nano force sensor using diamagnetic materials”, paper presented at IEEE International Conference on Robotics and Automation, (ICRA'03), Vol. 3, pp. 3219‐24.

Chadebec, O., Coulomb, J.‐L. and Janet, F. (2006), “A review of magnetostatic moments method”, IEEE Trans on Magnetics, Vol. 42 No. 4, pp. 515‐20.

Chetouani, H., Jeandey, C., Haguet, V., Rostaing, H., Dieppedale, C. and Reyne, G. (2006a), “Diamagnetic levitation with permanent magnets for contactless guiding and trapping of microdroplets and particles in air and liquids”, IEEE Trans on Magnetics, Vol. 42 No. 10, pp. 3557‐9.

Chetouani, H., Jeandey, C., Haguet, V., Rostaing, H., Dieppedale, C., Jacquot, J.‐F., Kerlin, T. and Reyne, G. (2006b), “Principle and analysis of a two‐dimensional on‐chip magnetophoresis of bioparticles for contamination‐free biochemical reactors”, Proceedings of CEFC'06, Miami, USA, April 30‐May 3, p. 442.

Delinchant, B., Wurtz, F. and Atienza, E. (2004), “Reducing sensitivity analysis time‐coast of compound model”, IEEE Transactions on Magnetics, Vol. 40 No. 2, pp. 1216‐9.

Duret, D., Gerbaud, L., Du Peloux, B., Verdiere, F. and Rakotoarison, H.L. (2006), “A generator of software components dedicated to the optimization of engineering systems”, Proceedings of OIPE'06, Sorrento, Italy, September 13–15, p. 185.

Hirota, N., Ikezoe, Y., Uetake, H., Kaihatsu, T., Takayama, T. and Kitazawa, K. (2002), “Magneto‐archimedes levitation and its applications”, RIKEN Review No. 44, pp. 159‐61.

Pamme, N. and Manz, A. (2004), “On‐chip free‐flow magnetophoresis: continuous flow separation of magnetic particles and agglomerates”, Analytical Chemistry, Vol. 76 No. 24, pp. 7250‐6.

Singh, C. and Sarkar, D. (1992), “Practical considerations in the optimization of induction motor design”, IEE Proceedings ‐ Electric Power Applications, Vol. 139 No. 4, pp. 365‐73.

Vieux‐Rochaz, L., Gamet, D., Dieppedale, C., Desloges, B., Barragatti, C., Rostaing, H. and Meunier‐Carus, J. (2006), “Electrodeposition of hard magnetic CoPtP material and integration into magnetic MEMS”, Journal of Micromechanics and Microengineering, Vol. 16 No. 2, pp. 219‐24.

Watarai, H. and Namba, M. (2002), “Capillary magnetophoresis of human blood cells and their magnetophoretic trapping in a flow system”, Journal of Chromatography A, Vol. 961 No. 1, pp. 3‐8.

Winkleman, A., Gudiksen, K.L., Ryan, D., Whitesides, G.M., Greenfield, D. and Prentiss, M. (2004), “A magnetic trap for living cells suspended in a paramagnetic buffer”, Applied Physics Letters, Vol. 85 No. 12, pp. 2411‐3.

Lee, H., Purdon, A.M. and Westervelt, R.M. (2004), “Manipulation of biological cells using a microelectromagnet matrix”, Applied Physics Letters, Vol. 85 No. 6, pp. 1063‐5.