Fourier-bessel series modeling of dielectrophoretic bionanoparticle transport: principles and applications.

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.