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Applied Optics

Applied Optics


  • Vol. 37, Iss. 10 — Apr. 1, 1998
  • pp: 1958–1972

Influence of Layered Tissue Architecture on Estimates of Tissue Optical Properties Obtained from Spatially Resolved Diffuse Reflectometry

Thomas J. Farrell, Michael S. Patterson, and Matthias Essenpreis  »View Author Affiliations

Applied Optics, Vol. 37, Issue 10, pp. 1958-1972 (1998)

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Most instruments used to measure tissue optical properties noninvasively employ data-analysis algorithms that rely on the simplifying assumption that the tissue is semi-infinite and homogeneous. The influence of a layered tissue architecture on the determination of the scattering and absorption coefficients has been investigated in this study. Reflectance as a function of distance from a point source for a two-layered tissue architecture that simulates skin overlying fat was calculated by using a Monte Carlocode. These data were analyzed by using a diffusion theory modelfor a homogeneous semi-infinite medium to calculate the scatter and absorption coefficients. Depending on the algorithm and the radial distance, the estimated tissue optical properties were different from those of either layer, and under some circumstances, physically impossible. In addition, the sensitivity and cross talk of the estimated optical properties to changes in input optical properties were calculated for different layered geometries. For typical optical properties of skin, the sensitivity to changes in optical properties is highly dependent on the layered architecture, the measurement distance, and the fitting algorithm. Furthermore, a change in the input absorption coefficient may result in an apparent change in the measured scatter coefficient, and a change in the in put scatter coefficient may result in an apparent change in the measured absorption coefficient.

© 1998 Optical Society of America

OCIS Codes
(120.5700) Instrumentation, measurement, and metrology : Reflection
(170.6930) Medical optics and biotechnology : Tissue
(290.1990) Scattering : Diffusion

Thomas J. Farrell, Michael S. Patterson, and Matthias Essenpreis, "Influence of Layered Tissue Architecture on Estimates of Tissue Optical Properties Obtained from Spatially Resolved Diffuse Reflectometry," Appl. Opt. 37, 1958-1972 (1998)

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  1. B. C. Wilson and M. S. Patterson, “The physics of photodynamic therapy,” Phys. Med. Biol. 31, 327–360 (1986).
  2. B. J. Tromberg, L. O. Svaasand, M. K. Fehr, S. J. Madsen, P. Wyss, B. Sansone, and Y. Tadir, “A mathematical model for light dosimetry in photodynamic destruction of human endometrium,” Phys. Med. Biol. 41, 233–237 (1996).
  3. M. S. Patterson, B. C. Wilson, J. W. Feather, D. M. Burns, and W. Pushka, “The measurement of dihematoporphyrin ether concentration in tissue by reflectance spectrophotometry,” Photochem. Photobiol. 46, 337–343 (1987).
  4. R. A. Weersink, J. E. Hayward, K. R. Diamond, and M. S. Patterson, “Non-invasive in vivo measurements of photosensitizer uptake using diffuse reflectance spectroscopy,” Photochem. Photobiol. 66, 326–335 (1997).
  5. M. Kohl, M. Essenpreis, M. Cope, and D. Bocker, “Influence of glucose concentration upon light scattering in tissue simulating phantoms,” Opt. Lett. 19, 2170–2172 (1994).
  6. J. T. Bruulsema, J. E. Hayward, T. J. Farrell, M. S. Patterson, L. Heinemann, M. Berger, T. Koschinsky, J. Sandahl-Christiansen, H. Orskov, M. Essenpreis, G. Schmelzeisen-Redeker, and D. Böcker, “Correlation between blood glucose concentration in diabetics and noninvasively measured tissue optical scattering coefficient,” Opt. Lett. 22, 190–192 (1997).
  7. M. Cope and D. T. Delpy, “System for long-term measurement of cerebral blood and tissue oxygenation on newborn infants by near infrared transillumination,” Med. Biol. Eng. Comput. 26, 289–294 (1988).
  8. B. C. Wilson, T. J. Farrell, and M. S. Patterson, “An optical fiber-based diffuse reflectance spectrometer for non-invasive investigation of photodynamic sensitizers in vivo,” in Future Directions and Application in Photodynamic Therapy, G. J. Gomer, ed., Vol. IS06 of SPIE Institute Series (Society of Photo-Optical Instrumentation Engineers, Bellingham, Wash., 1990), pp. 219–231.
  9. M. G. Nichols, E. L. Hull, and T. H. Foster, “Design and testing of a white-light steady-state diffuse reflectance spectrometer for determination of optical properties of highly scattering systems,” Appl. Opt. 36, 1–12 (1997).
  10. S. L. Jacques, A. S. Gutsche, J. Schwartz, L. Wang, and F. K. Tittel, “Video reflectometry to extract optical properties of tissue in vivo,” in Medical Optical Tomography: Functional Imaging and Monitoring, G. J. Mueller, B. Chance, R. R. Alfano, S. R. Arridge, J. Beuthan, E. Gratton, M. Kaschke, B. R. Masters, S. Svanberg, and P. Van der Zee, eds., Vol. IS11 of SPIE Institute Series (Society of Photo-Optical Instrumentation Engineers, Bellingham, Wash., 1993), pp. 211–226.
  11. A. Kienle, L. Lilge, M. S. Patterson, R. Hibst, R. Steiner, and B. C. Wilson, “Spatially resolved absolute diffuse reflectance measurements for noninvasive determination of the optical scattering and absorption coefficients of biological tissue,” Appl. Opt. 35, 2304–2314 (1996).
  12. S. Fantini, M. Franceshini, S. Fishkin, B. Barbieri, and E. Gratton, “Quantitative determination of the absorption spectra of chromophores in strongly scattering media: a light-emitting diode-based technique,” Appl. Opt. 33, 5204–5213 (1994).
  13. B. W. Pogue and M. S. Patterson, “Error assessment of a wavelength tunable frequency domain system for noninvasive tissue spectroscopy,” J. Biomed. Opt. 1, 311–323 (1996).
  14. S. J. Madsen, E. R. Anderson, R. C. Haskell, and B. J. Tromberg, “Portable high-bandwidth frequency-domain photon migration instrument for tissue spectroscopy,” Opt. Lett. 19, 1934–1936 (1994).
  15. M. S. Patterson, B. Chance, and B. C. Wilson, “Time resolved transmittance and reflectance for the non-invasive measurement of tissue optical properties,” Appl. Opt. 28, 2331–2336 (1989).
  16. S. J. Madsen, B. C. Wilson, M. S. Patterson, Y. D. Park, S. C. Jacques, and Y. Hefetz, “Experimental tests of a simple diffusion model for the estimation of scattering and absorption coefficients of turbid media from time-resolved diffuse reflectance measurements,” Appl. Opt. 31, 3509–3517 (1992).
  17. I. Dayan, S. Havlin, and G. H. Weiss, “Photon migration in a two-layer turbid medium. A diffusion analysis,” J. Mod. Opt. 39, 1567–1582 (1992).
  18. H. Taitelbaum, S. Havlin, and G. H. Weiss, “Approximate theory of photon migration in a two-layer medium,” Appl. Opt. 28, 2245–2249 (1989).
  19. R. Nossal, J. Keifer, G. Weiss, R. Bonner, H. Taitelbaum, and S. Havlin, “Photon migration in layered media,” Appl. Opt. 27, 3382–3391 (1988).
  20. J. M. Schmitt, G. X. Zhou, and E. C. Walker, “Multilayer model of photon diffusion in skin,” J. Opt. Soc. Am. A 7, 2141–2153 (1990).
  21. J. S. Maier, S. A. Walker, S. Fantini, M. A. Fraceschini, and E. Gratton, “Possible correlation between blood glucose concentration and the reduced scattering coefficient of tissues in the near infrared,” Opt. Lett. 19, 2062–2064 (1994).
  22. T. J. Farrell, M. S. Patterson, and B. C. Wilson, “A diffusion theory model of spatially resolved, steady-state diffuse reflectance for the noninvasive determination of tissue optical properties in vivo,” Med. Phys. 19, 879–888 (1992).
  23. A. Kienle and M. S. Patterson, “Improved solutions of the steady-state and the time-resolved diffusion equations for reflectance from a semi-infinite turbid medium,” J. Opt. Soc. Am. A 14, 246–254 (1997).
  24. R. C. Haskell, L. O. Svaasand, T. T. Tsay, T. C. Feng, M. McAdams, and B. J. Tromberg, “Boundary conditions for the diffusion equation in radiative transfer,” J. Opt. Soc. Am. A 11, 2724–2741 (1994).
  25. G. Mitic, J. Kölzer, J. Otto, E. Plies, G. Sölkner, and W. Zinth, “Time-gated transillumination of biological tissues and tissuelike phantoms,” Appl. Opt. 33, 6699–6710 (1994).
  26. L. G. Henyey and J. L. Greenstein, “Diffuse radiation in the galaxy,” Astrophys. J. 93, 70–83 (1941).
  27. P. R. Bevington, Data Reduction and Error Analysis for the Physical Sciences (McGraw-Hill, New York, 1969).
  28. T. J. Farrell, B. C. Wilson, and M. S. Patterson, “The use of a neural network to determine tissue optical properties from spatially resolved diffuse reflectance measurements,” Phys. Med. Biol. 37, 2281–2286 (1992).
  29. C. F. Gerald and P. O. Wheatley, Applied Numerical Analysis (Addison-Wesley, Reading, Mass., 1990).

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