OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 26, Iss. 17 — Sep. 1, 2001
  • pp: 1335–1337

Perturbation Monte Carlo methods to solve inverse photon migration problems in heterogeneous tissues

Carole K. Hayakawa, Jerome Spanier, Frédéric Bevilacqua, Andrew K. Dunn, Joon S. You, Bruce J. Tromberg, and Vasan Venugopalan  »View Author Affiliations

Optics Letters, Vol. 26, Issue 17, pp. 1335-1337 (2001)

View Full Text Article

Acrobat PDF (97 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We introduce a novel and efficient method to provide solutions to inverse photon migration problems in heterogeneous turbid media. The method extracts derivative information from a single Monte Carlo simulation to permit the rapid determination of rates of change in the detected photon signal with respect to perturbations in background tissue optical properties. We then feed this derivative information to a nonlinear optimization algorithm to determine the optical properties of the tissue heterogeneity under examination. We demonstrate the use of this approach to solve rapidly a two-region inverse problem of photon migration in the transport regime, for which diffusion-approximation-based approaches are not applicable.

© 2001 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(170.4580) Medical optics and biotechnology : Optical diagnostics for medicine
(170.5280) Medical optics and biotechnology : Photon migration
(170.7050) Medical optics and biotechnology : Turbid media

Carole K. Hayakawa, Jerome Spanier, Frédéric Bevilacqua, Andrew K. Dunn, Joon S. You, Bruce J. Tromberg, and Vasan Venugopalan, "Perturbation Monte Carlo methods to solve inverse photon migration problems in heterogeneous tissues," Opt. Lett. 26, 1335-1337 (2001)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. F. Bevilacqua, D. Piguet, P. Marquet, J. D. Gross, B. J. Tromberg, and C. Depeursinge, “In vivo local determination of tissue optical properties: applications to human brain,” Appl. Opt. 38, 4939–4950 (1999).
  2. J. R. Mourant, J. Boyer, A. H. Hielscher, and I. J. Bigio, “Influence of the scattering phase function on light transport measurements in turbid media performed with small source–detector separations,” Opt. Lett. 21, 546–548 (1996).
  3. V. Venugopalan, J. S. You, and B. J. Tromberg, “Radiative transport in the diffusion approximation: an extension for highly absorbing media and small source–detector separations,” Phys. Rev. E 58, 2395–2407 (1998).
  4. J. Spanier and E. M. Gelbard, Monte Carlo Principles and Neutron Transport Problems (Addison-Wesley, Reading, Mass., 1969).
  5. A. Sassaroli, C. Blumeti, F. Martelli, L. Alianelli, D. Contini, A. Ismaelli, and G. Zaccanti, “Monte Carlo procedure for investigating light propagation and imaging of highly scattering media,” Appl. Opt. 37, 7392–7400 (1998).
  6. G. Dejonghe, “Etudes d’effets differentials par la méthode de Monte Carlo dans le cadre de l’equation du transport. Applications aux calculs de protection et de neutronique,” Ph.D. dissertation (Université Paris XI, Orsay, France, 1982).
  7. H. Rief, “Generalized Monte Carlo perturbation algorithms for correlated sampling and a second-order Taylor series approach,” Ann. Nucl. Energy 9, 455–476 (1984).
  8. M. G. C. Hall, “Cross-section adjustment with Monte Carlo sensitivities: application to the Winfrith iron benchmark,” Nucl. Sci. Eng. 81, 423–431 (1982).
  9. R. Hornung, T. H. Pham, K. A. Keefe, M. W. Berns, Y. Tadir, and B. J. Tromberg, “Quantitative near-infrared spectroscopy of cervical dysplasia in vivo,” Hum. Reprod. 14, 2908–2916 (1999).
  10. M. Testorf, U. Osterberg, B. Pogue, and K. Paulsen, “Sampling of time- and frequency-domain signals in Monte Carlo simulations of photon migration,” Appl. Opt. 38, 236–245 (1999).

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