OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 35, Iss. 19 — Jul. 1, 1996
  • pp: 3746–3758

Fluorescent diffuse photon density waves in homogeneous and heterogeneous turbid media: analytic solutions and applications

X. D. Li, M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh  »View Author Affiliations


Applied Optics, Vol. 35, Issue 19, pp. 3746-3758 (1996)
http://dx.doi.org/10.1364/AO.35.003746


View Full Text Article

Enhanced HTML    Acrobat PDF (698 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present analytic solutions for fluorescent diffuse photon density waves originating from fluorophores distributed in thick turbid media. Solutions are derived for a homogeneous turbid medium containing a uniform distribution of fluorophores and for a system that is homogeneous except for the presence of a single spherical inhomogeneity. Generally the inhomogeneity has fluorophore concentration, and lifetime and optical properties that differ from those of the background. The analytic solutions are verified by numerical calculations and are used to determine the fluorophore lifetime and concentration changes required for the accurate detection of inhomogeneities in biologically relevant systems. The relative sensitivities of absorption and fluorescence methods are compared.

© 1996 Optical Society of America

History
Original Manuscript: July 31, 1995
Revised Manuscript: February 27, 1996
Published: July 1, 1996

Citation
X. D. Li, M. A. O'Leary, D. A. Boas, B. Chance, and A. G. Yodh, "Fluorescent diffuse photon density waves in homogeneous and heterogeneous turbid media: analytic solutions and applications," Appl. Opt. 35, 3746-3758 (1996)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-35-19-3746


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. Yodh, B. Chance, “Spectroscopy and imaging with diffusing light,” Phys. Today31–36 (Mar.1995) and references therein.
  2. E. M. Sevick-Muraca, C. L. Burch, “Origin of phosphorescence signals reemitted from tissues,” Opt. Lett. 19, 1928–1930 (1994). [CrossRef] [PubMed]
  3. M. S. Patterson, B. W. Pogue, “Mathematical model for time-resolved and frequency-domain fluorescence spectros-copy in biological tissues,” Appl. Opt. 33, 1963–1974 (1994). [CrossRef] [PubMed]
  4. A. Knüttel, J. M. Schmitt, R. Barnes, J. R. Knutson, “Acousto-optic scanning and interfering photon density waves for precise localization of an absorbing (or fluorescent) body in a turbid medium,” Rev. Sci. Instrum. 64, 638–644 (1993). [CrossRef]
  5. D. A. Boas, M. A. O'Leary, B. Chance, A. G. Yodh, “Scattering and wavelength transduction of diffuse photon density waves,” Phys. Res. E 47, R2999–R3002 (1993). [CrossRef]
  6. M. A. O'Leary, D. A. Boas, B. Chance, A. G. Yodh, “Reradiation and imaging of diffuse photon density waves using fluorescent inhomogeneities,” J. Luminesc. 60-1, 281–286 (1994). [CrossRef]
  7. X. D. Li, B. Beauvoit, R. White, S. Nioka, B. Chance, A. G. Yodh, “Tumor localization using fluorescence of indocyanine green (ICG) in rat models,” in Optical Tomography, Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, B. Chance, R. R. Alfano, eds., Proc. SPIE2389, 789–797 (1995). [CrossRef]
  8. J. Wu, Y. Wang, L. Perelman, I. Itzkan, R. R. Dasari, M.S. Feld, “Time-resolved multichannel imaging of fluorescent objects embedded in turbid media,” Opt. Lett. 20, 489–491 (1995). [CrossRef] [PubMed]
  9. S. B. Bambot, J. R. Lakowicz, G. Rao, “Potential applications of lifetime-based, phase-modulation fluorimetry in bio-process and clinical monitoring,” Trends Biotechnol. 13, 106– 115 (1995). [CrossRef] [PubMed]
  10. W. L. Rumsey, J. M. Vanderkooi, D. F. Wilson, “Imaging of phosphorescence: a novel method for measuring oxygen distribution in perfused tissue,” Science 241, 1649–1651 (1988). [CrossRef] [PubMed]
  11. H. Szmacinski, J. R. Lakowicz, “Optical measurements of pH using fluorescence lifetimes and phase-modulation fluorometry,” Anal. Chem. 65, 1668–1674 (1993). [CrossRef] [PubMed]
  12. J. R. Lakowicz, H. Szmacinski, K. Nowaczyk, M. L. Johnson, “Fluorescence lifetime imaging of calcium using Quin-2,” Cell Calcium 13, 131–147 (1992). [CrossRef] [PubMed]
  13. J. Folkman, “Introduction: angiogenesis and cancer,” Semin. Cancer Biol. 3, 65–71 (1992). [PubMed]
  14. P. W. Vaupel, S. Frinak, H. I. Bicher, “Heterogeneous oxygen partial pressure and pH distribution in C3H mouse mammary adenocarcinoma,” Cancer Res. 41, 2008–2013 (1981). [PubMed]
  15. C. L. Hutchinson, T. L. Troy, E. M. Sevick-Muraca, “Fluorescence-lifetime spectroscopy and imaging in random media,” in Optical Tomography, Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, B. Chance, R. R. Alfano, eds. Proc. SPIE2389, 274–283 (1995). [CrossRef]
  16. C. L. Hutchinson, J. R. Lakowicz, E. M. Sevick-Muraca, “Fluorescence lifetime-based sensing in tissues: a computational study,” Biophys. J. 68, 1574–1582 (1995). [CrossRef] [PubMed]
  17. J. Wu, M. S. Feld, R. P. Rava, “Analytical model for extracting intrinsic fluorescence in turbid media,” Appl. Opt. 32, 3585–3595 (1993). [CrossRef] [PubMed]
  18. We are aware that faster finite difference methods exist. However, none of these methods is expected to be faster than calculations of the analytic solutions.
  19. M. S. Patterson, B. Chance, B. C. Wilson, “Time-resolved reflectance and transmittance for the noninvasive measurement of tissue optical properties,” Appl. Opt. 28, 2331–2335 (1989). [CrossRef] [PubMed]
  20. J. B. Fishkin, E. Gratton, “Propagation of photon density waves in strongly scattering media containing an absorbing semi-infinite plane bounded by a straight edge,” J. Opt. Soc. Am. A 10, 127–140 (1993). [CrossRef] [PubMed]
  21. B. J. Tromberg, S. Madsen, C. Chapman, L. O. Svaasand, R. C. Haskell, “Frequency-domain photon migration in turbid media,” in Advances in Optical Imaging and Photon Migration, Vol. 21 of OSA Proceedings (Optical Society of America, Washington, D.C., 1994), pp. 93–95.
  22. D. A. Boas, M. A. O'Leary, B. Chance, A. G. Yodh, “Scattering of diffuse photon density waves by spherical inhomogeneities within turbid media: analytic solutions and applications,” Proc. Natl. Acad. Sci. USA 91, 4887–4891 (1994). [CrossRef] [PubMed]
  23. R. C. Haskell, L. O. Svaasand, T. T. Tsay, T. C. Feng, M. S. McAdams, B. J. Tromberg, “Boundary conditions for the diffusion equation in radiative transfer,” J. Opt. Soc. Am. A 11, 2727–2741 (1994). [CrossRef]
  24. R. Aronson, “Boundary conditions for diffusion of light,” J. Opt. Soc. Am. A 12, 2532–2539 (1995). [CrossRef]
  25. S. J. Madsen, M. S. Patterson, B. C. Wilson, S. M. Jaywant, A. Othonos, “Numerical modeling and experimental studies of light pulse propagation in inhomogeneous random media,” in Photon Migration and Imaging in Random Media and Tissues, B. Chance, R. R. Alfano, eds., Proc. SPIE1888, 90–102 (1993). [CrossRef]
  26. P. W. Milonni, J. H. Eberly, Lasers (Wiley, New York, 1988), pp. 218–222.
  27. J. R. Lakowicz, Principles of Fluorescence Spectroscopy (Plenum, New York, 1983), pp. 258–266.
  28. G. Valduga, E. Reddi, G. Jori, R. Cubeddu, P. Taroni, G. Valentini, “Steady state and time-resolved spectroscopic studies on zinc(II) phthalocynine in liposomes,” J. Photochem. Photobiol. B: Biol. 16, 331–340 (1992);R. Cubeddu, G. Canti, P. Taroni, G. Valentini, “Time-gated fluorescence imaging for the diagnosis of tumors in a murine model,” Photochem. Photobiol. 57, 480–485 (1993). [CrossRef] [PubMed]
  29. M.A. O'Leary, D.A. Boas, X. D. Li, B. Chance, A. G Yodh, “Fluorescence lifetime imaging in turbid media,” Opt. Lett. 21, 158–160 (1996). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited