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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 30, Iss. 3 — Mar. 1, 2013
  • pp: 537–552

Analytical solutions for diffuse fluorescence spectroscopy/imaging in biological tissues. Part I: zero and extrapolated boundary conditions

Kalyan Ram Ayyalasomayajula and Phaneendra K. Yalavarthy  »View Author Affiliations


JOSA A, Vol. 30, Issue 3, pp. 537-552 (2013)
http://dx.doi.org/10.1364/JOSAA.30.000537


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Abstract

The mathematical model for diffuse fluorescence spectroscopy/imaging is represented by coupled partial differential equations (PDEs), which describe the excitation and emission light propagation in soft biological tissues. The generic closed-form solutions for these coupled PDEs are derived in this work for the case of regular geometries using the Green’s function approach using both zero and extrapolated boundary conditions. The specific solutions along with the typical data types, such as integrated intensity and the mean time of flight, for various regular geometries were also derived for both time- and frequency-domain cases.

© 2013 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(170.0170) Medical optics and biotechnology : Medical optics and biotechnology
(170.6280) Medical optics and biotechnology : Spectroscopy, fluorescence and luminescence
(300.2530) Spectroscopy : Fluorescence, laser-induced

ToC Category:
Medical Optics and Biotechnology

History
Original Manuscript: December 11, 2012
Manuscript Accepted: January 13, 2013
Published: February 28, 2013

Virtual Issues
Vol. 8, Iss. 4 Virtual Journal for Biomedical Optics

Citation
Kalyan Ram Ayyalasomayajula and Phaneendra K. Yalavarthy, "Analytical solutions for diffuse fluorescence spectroscopy/imaging in biological tissues. Part I: zero and extrapolated boundary conditions," J. Opt. Soc. Am. A 30, 537-552 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-3-537

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