Performance analysis and design of position-encoded microsphere arrays using the Ziv-Zakai bound

IEEE Transactions on Nanobioscience

Volumn 12, Issue 1, 2013, Pages 29-40

  Xu, Xiaoxiao ^a   Sarder, Pinaki ^b   Kotagiri, Nalinikanth ^b   Achilefu, Samuel ^b   Nehorai, Arye ^a  

^a WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

^b WASHINGTON UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

Microscope point spread function; optimal design; position encoded microsphere arrays; posterior Cram r Rao bound; Ziv Zakai bound

Indexed keywords

LOW SIGNAL-TO-NOISE RATIO; MICROSPHERE ARRAYS; OPTIMAL DESIGN; OPTIMAL DESIGN PARAMETERS; POINT-SPREAD FUNCTION; STATISTICAL PERFORMANCE; TARGET CONCENTRATIONS; ZIV-ZAKAI BOUND;

OPTIMAL SYSTEMS;

MICROSPHERES;

MICROSPHERE;

ARTICLE; BIOASSAY; BIOTECHNOLOGY; COMPUTER SIMULATION; EQUIPMENT; MICROARRAY ANALYSIS; NANOTECHNOLOGY; SIGNAL NOISE RATIO; SIGNAL PROCESSING; STATISTICAL MODEL;

BIOLOGICAL ASSAY; BIOTECHNOLOGY; COMPUTER SIMULATION; MICROARRAY ANALYSIS; MICROSPHERES; MODELS, STATISTICAL; NANOTECHNOLOGY; SIGNAL PROCESSING, COMPUTER-ASSISTED; SIGNAL-TO-NOISE RATIO;

EID: 84874973543     PISSN: 15361241     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNB.2012.2230116     Document Type: Article

References (27)

1. D. R. Walt, "Bead-based fiber-optic arrays," Science, vol. 287, pp. 451-452, Jan. 2000.
2. A. Mathur, "Image analysis of ultra-high density, multiplexed, micro-sphere-based assays," Ph.D. Thesis, Northwestern Univ., Chicago, IL, USA, Sep. 2006.
3. P. O. Brown and D. Botstein, "Exploring the new world of the genome with DNA microarrays," Nat. Genet., vol. 21, pp. 33-27, Jan. 1999.
4. K. O'Donnell1, B. A. J. Sarver, M. Brandt, D. C. Chang, J. N. Wang, B. J. Park, D. A. Sutton, L. Benjamin, M. Lindsley, A. Padhye, D. M. Geiser, and T. J. Ward, "Phylogenetic diversity and microsphere array-based genotyping of human pathogenic fusaria, including isolates from the multistate contact lens-associated U.S. keratitis outbreaks of 2005 and 2006," Drug, vol. 45, pp. 2235-2248, Jul. 2007. (Pubitemid 47203799)
5. M. B. Meza, "Bead-based HTS applications in drug discovery," Drug Discovery Today, vol. 1, pp. 38-41, Jun. 2000.
6. P. Sarder and A. Nehorai, "Estimating locations of quantum-dot encoded microparticles from ultra-high density 3D microarrays," IEEE Trans. NanoBiosci., vol. 7, pp. 284-297, Jan. 2008.
7. K. D. Bake and D. R. Walt, "Multiplexed spectroscopic detections," Annu. Rev. Anal. Chem., vol. 1, pp. 15-47, Jul. 2008.
8. P. Sarder and A. Nehorai, "Statistical design of position-encoded mi-crosphere arrays," IEEE Trans. NanoBiosci., vol. 10, pp. 16-29, Mar. 2011.
9. H. L. van Trees, Detection, Estimation and Modulation Theory. New York: Wiley, 1968.
10. J. A. Ferguson, F. J. Steemers, and D. R. Walt, "High-density fiber-optic DNA random microsphere array," Anal. Chem., vol. 72, pp. 5618-5624, Nov. 2000.
11. S. C. White and N. C. Beaulieu, "On the application of the Cramér-Rao and detection theory bounds to mean square error of symbol timing recovery," IEEE Trans. Commun., vol. 40, pp. 1635-1643, Oct. 1992.
12. K. L. Bell, Y. Steinberg, Y. Ephraim, and H. L. van Trees, "Extended Ziv-Zakai lower bound for vector parameter estimation," IEEE Trans. Inf. Theory, vol. 43, pp. 624-637, Mar. 1997. (Pubitemid 127827980)
13. X. Xu, P. Sarder, and A. Nehorai, "Statistical design of position-encoded microsphere arrays at low target concentrations," in Proc. 45 Asilomar Conf. Signals, Syst. Comput., Pacific Grove, CA, USA, Nov. 2011, pp. 1694-1698.
14. J. G. McNally, T. Karpova, J. Cooper, and J. A. Conchello, "Three-dimensional imaging by deconvolution microscopy," Methods, vol. 19, pp. 373-385, May 1999. (Pubitemid 30028596)
15. H. T. M. van der Voort and K. C. Strasters, "Restoration of confocal images for quantitative image analysis," J. Microsc., vol. 178, pp. 165-181, May 1995.
16. S. F. Gibson and F. Lanni, "Experimental test of an analytical model of aberration in an oil-immersion objective lens used in three-dimensional light microscopy," J. Opt. Soc. Amer. A, vol. 8, pp. 1601-1613, Oct. 1999.
17. B. Zhang, J. Zerubia, and J. Olivo-Marin, "Gaussian approximations of fluorescence microscope point-spread function models," Appl. Opt., vol. 46, pp. 1819-1829, Mar. 2007. (Pubitemid 46659549)
18. P. Sarder and A. Nehorai, "Deconvolution methods for 3-D fluorescence microscopy images," IEEE Signal Process. Mag., vol. 23, pp. 32-45, Nov. 2006.
19. T. J. Fellers and M. W. Davidson, "CCD noise sources and signal-to-noise ratio," [Online]. Available: http://learn.hamamatsu.com/ articles/ccdsnr.html 2008
20. V. Gruev, Z. Yang, and J. Van. der Spiegel, "Current mode image sensor with two transistors per pixel," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 57, pp. 1154-1165, Jun. 2010.
21. T. M. Jovin and D. J. Arndt-Jovin, "Luminescence digital imaging microscopy," Annu. Rev. Biophys. Biophys. Chem., vol. 18, pp. 271-308, Sep. 1989.
22. J. Ohta, Smart CMOS Image Sensors and Applications. Boca Raton, FL, USA: CRC, 2007.
23. M. Christenson, "The application of scientific grade CCD cameras to biological imaging," Imaging Neurons: A Laboratory Manual pp. 23-32, 2000.
24. B. Huang, M. Bates, and X. Zhuang, "Super-resolution fluorescence microscopy," Annu. Rev. Biochem., vol. 78, pp. 993-1016, Apr. 2009.
25. E. Valdimarsson and C. Preza, "Computational optical sectioning microscopy open source (COSMOS) software package," [Online]. Available: http://cirl.memphis.edu/cosmos 2011
26. H. Liu, Y. Tang, and H. H. Zhang, "A new chi-square approximation to the distribution of non-negative definite quadratic forms in non-central normal variables," Comput. Stat. Data. An., vol. 53, pp. 853-856, Feb. 2009.
27. J. P. Imhof, "Computing the distribution of quadratic forms in normal variables," Biometrika, vol. 48, pp. 419-426, Feb. 1961.