title: Performance analysis and design of position-encoded microsphere arrays using the Ziv-Zakai bound.
abstract: Position-encoded microsphere arrays are a promising technology for identifying biological targets and quantifying their concentrations. In this paper we analyze the statistical performance of these arrays in imaging targets at typical low signal-to-noise ratio (SNR) levels. We compute the Ziv-Zakai bound (ZZB) on the errors in estimating the unknown parameters, including the target concentrations. We find the SNR level below which the ZZB provides a more accurate prediction of the error than the posterior Cramér-Rao bound (PCRB), through numerical examples. We further apply the ZZB to select the optimal design parameters of the microsphere array device and investigate the effects of the experimental variables such as microscope point-spread function. An imaging experiment on microspheres with protein targets verifies the optimal design parameters using the ZZB.
authors.affiliation: Preston M. Green Department of Electrical and Systems Engineering, Washington University in St. Louis, St. Louis, MO 63130, USA. xiaoxu@ese.wustl.edu
authors.forename: Xiaoxiao
authors.initials: X
authors.lastname: Xu
authors.forename: Pinaki
authors.initials: P
authors.lastname: Sarder
authors.forename: Nalinikanth
authors.initials: N
authors.lastname: Kotagiri
authors.forename: Samuel
authors.initials: S
authors.lastname: Achilefu
authors.forename: Arye
authors.initials: A
authors.lastname: Nehorai
mesh_terms: D001681:Biological Assay; D001709:Biotechnology / Q000295:instrumentation*; D003198:Computer Simulation; D046228:Microarray Analysis / Q000295:instrumentation*; D008863:Microspheres; D015233:Models, Statistical; D036103:Nanotechnology / Q000295:instrumentation*; D012815:Signal Processing, Computer-Assisted; D059629:Signal-To-Noise Ratio