title: Fourier-bessel series modeling of dielectrophoretic bionanoparticle transport: principles and applications.
abstract: Principles and applications are described for a Fourier-Bessel series model that predicts the transport of bionanoparticles driven by a dielectrophoretic (DEP) force and randomized by Brownian motion. The model is applicable for a dielectrophoretic force that spatially decays from the electrode array according to a reciprocal-law; that is, in the near field of a planar interdigitated array or in the far field where other long range forces assist DEP transport, e.g., ac electro-osmosis. Capabilities of the model are demonstrated for estimating and decomposing data typical of dielectrophoretic bionanoparticle collection experiments. An important approximation, for moderately strong DEP forces, is that a collection can largely be described by a single exponential profile with a square-law dependence on microdevice chamber height. Applications of the model demonstrate transformation and representation of time-dependent bionanoparticle transport in the frequency domain and prediction of a modulation bandwidth that concurs with experimental observations.
authors.affiliation: Department of Electrical Engineering and Electronics, University of Liverpool, U.K.
authors.forename: David J
authors.initials: DJ
authors.lastname: Bakewell
authors.forename: Aleksandr
authors.initials: A
authors.lastname: Chichenkov
mesh_terms: D004058:Diffusion; D004586:Electrophoresis; D005583:Fourier Analysis; D008956:Models, Chemical; D053758:Nanoparticles / Q000737:chemistry*