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Applied Optics

Applied Optics


  • Vol. 38, Iss. 16 — Jun. 1, 1999
  • pp: 3626–3635

Fourier analysis of light scattered by elongated scatterers

Zeev Schiffer, Yosef Ashkenazy, Reuven Tirosh, and Mordechai Deutsch  »View Author Affiliations

Applied Optics, Vol. 38, Issue 16, pp. 3626-3635 (1999)

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Biological stimulation of living cells is sometimes associated with morphological changes. A practical method is developed to monitor cell stimulation by means of their conformational changes through interpretation of the pattern of light scattered from a cell population. For this purpose a mathematical model is suggested that predicts the power spectrum from a population of elliptic objects with a given eccentricity. A computer simulation of that model is presented together with supporting experimental results of the simulation. The predicted and the measured spectra are in good agreement. This technique was applied to elongated cells that become circular on exposure to a human hormone, indicating the potential applicability of the method in biology and medicine. The method and the apparatus presented in this study could be applied to bioassays of cell systems that respond to a variety of stimulants and to trace quantitatively the structural changes that occur during biological processes.

© 1999 Optical Society of America

OCIS Codes
(000.1430) General : Biology and medicine
(070.4790) Fourier optics and signal processing : Spectrum analysis
(100.3190) Image processing : Inverse problems
(170.1530) Medical optics and biotechnology : Cell analysis
(260.1960) Physical optics : Diffraction theory
(290.5820) Scattering : Scattering measurements

Original Manuscript: November 6, 1998
Revised Manuscript: March 5, 1999
Published: June 1, 1999

Zeev Schiffer, Yosef Ashkenazy, Reuven Tirosh, and Mordechai Deutsch, "Fourier analysis of light scattered by elongated scatterers," Appl. Opt. 38, 3626-3635 (1999)

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  1. I. A. Schafer, A. M. Jamieson, M. Petrelli, B. J. Price, G. C. Salzman, “Multiangle light scattering flow photometry of cultured human fibroblasts. Comparison of normal cells with a mutant cell line containing cytoplasmic inclusions,” J. Histochem. Cytochem. 27, 359–365 (1979). [CrossRef] [PubMed]
  2. G. C. Salzman, P. F. Mullaney, B. J. Price, “Light-scattering approaches to cell characterization,” in Flow Cytometry and Sorting, M. R. Melamed, P. F. Mullaney, M. R. Mendelsohn, eds. (Wiley, New York, 1979), pp. 108–124.
  3. G. C. Salzman, J. M. Crowell, C. A. Goad, K. M. Hansen, R. D. Hiebert, P. M. LaBauve, J. C. Martin, M. Ingram, P. F. Mullaney, “A flow-system multiangle light scattering instrument for cell characterization,” Clin. Chem. 21, 1297–1304 (1975). [PubMed]
  4. G. Seger, M. Achatz, W. Heinze, F. Sinsel, “Quantitative extraction of morphological cell parameters from the diffraction pattern,” J. Histochem. Cytochem. 25, 707–718 (1977). [CrossRef] [PubMed]
  5. B. Turke, G. Seger, M. Achatz, V. S. Werner, “Fourier optical approach to the extraction of morphological parameters from the diffraction pattern of biological cells,” Appl. Opt. 17, 2754–2761 (1978). [CrossRef] [PubMed]
  6. D. E. Burger, J. H. Jett, P. F. Mullaney, “Extraction of morphological features from biological models and cells by Fourier analysis of static light scatter measurements,” Cytometry 2, 327–336 (1982). [CrossRef] [PubMed]
  7. A. Brunsting, P. F. Mullaney, “Light scattering from coated spheres: models for biological cells,” Appl. Opt. 11, 675–680 (1972). [CrossRef] [PubMed]
  8. S. Asano, M. Sato, “Light scattering by randomly oriented spheroidal particles,” Appl. Opt. 19, 972–974 (1980). [CrossRef]
  9. R. A. Dobbins, C. M. Megaridis, “Absorption and scattering of light by polydisperse aggregates,” Appl. Opt. 30, 4747–4754 (1991). [CrossRef] [PubMed]
  10. S. Asano, G. Yamamoto, “Light scattering by a spheroidal particle,” Appl. Opt. 14, 29–49 (1975). [CrossRef] [PubMed]
  11. J. B. Riley, Y. C. Agrawal, “Sampling and inversion of data in diffraction particle sizing,” Appl. Opt. 30, 4800–4817 (1991). [CrossRef] [PubMed]
  12. S. Evans, “Comparison of the diffraction theory of image formation with the three-dimensional, first Born scattering approximation in lens systems,” Opt. Commun. 2, 317–320 (1970). [CrossRef]
  13. S. D. Coston, N. George, “Particle sizing by inversion of the optical transform pattern,” Appl. Opt. 30, 4785–4794 (1991). [CrossRef] [PubMed]
  14. I. S. Gradshteyn, I. M. Ryzhik, ed., Tables of Integrals, Series and Products, 5th ed., (Academic, New York, 1965), p. 954.
  15. I. Keren-Tal, A. Dantes, R. Sprengel, A. Amsterdam, “Establishment of steroidiogenic granulosa cell lines expressing follicle stimulating hormone receptors,” Mol. Cell Endocrinol. 95, R1–R10 (1993). [CrossRef] [PubMed]
  16. J. B. Riaey, Y. C. Agrawal, “Sampling and inversion of data in diffraction particle sizing,” Appl. Opt. 30, 4800–4816 (1991). [CrossRef]
  17. A. Papoulis, Signal Analysis (McGraw-Hill, New York, 1986), p. 79.
  18. A. Amsterdam, D. Aharoni, “Plasticity of cell organization during differentiation of normal and oncogene transformed granulosa cells,” Microsc. Res. Tech. 27, 108–124 (1994). [CrossRef] [PubMed]
  19. A. Brunsting, P. F. Mullaney, “Differential light scattering from spherical mammalian cells,” Biophys. J. 14, 439–453.
  20. M. Zohar, Y. Salomon, “Melanocortins stimulate proliferation and induce morphological changes in cultured rat astrocytes by distinct transducing mechanisms,” Brain Res. 576, 49–58 (1992). [CrossRef] [PubMed]

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