COMPEL The International Journal for Computation and Mathematics in Electrical and Electronic Engineering · 2007 · 13 citations · 10 references
EngineeringBioengineeringBiomedical EngineeringElectromagneticsMicroelectromechanical SystemsOptimizationMagnetic ActuationMagnetic ActuatorsMechanical System DesignMems DesignMems ModelingOptimization-based DesignBiomedical ApplicationsMagnetic Field TheoryMagnetic Force ModelingMagnetic LevitationMagnetic Levitation ActuationMagnetic Levitation Actuators
Purpose This 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/approach Surface 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. Findings Optimally stabilized magnetic levitating systems, for a pyrolitic graphite micro plate and for a latex bead. Research limitations/implications The 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 implications Implications 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/value Stability optimization of diamagnetic levitation system, based on an original approach of modeling and sizing with dedicated tools.
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A magnetic trap for living cells suspended in a paramagnetic buffer
Adam Winkleman, Katherine L. Gudiksen, Declan Ryan et al. · Applied Physics Letters · 2004 · 168 citations