OSA's Digital Library

Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editor: Gregory W. Faris
  • Vol. 5, Iss. 7 — Apr. 26, 2010

Quantitative determination of chromophore concentrations from 2D photoacoustic images using a nonlinear model-based inversion scheme

Jan Laufer, Ben Cox, Edward Zhang, and Paul Beard  »View Author Affiliations

Applied Optics, Vol. 49, Issue 8, pp. 1219-1233 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (1204 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A model-based inversion scheme was used to determine absolute chromophore concentrations from multiwavelength photoacoustic images. The inversion scheme incorporated a forward model, which predicted 2D images of the initial pressure distribution as a function of the spatial distribution of the chromophore concentrations. It comprised a multiwavelength diffusion based model of the light transport, a model of acoustic propagation and detection, and an image reconstruction algorithm. The model was inverted by fitting its output to measured photoacoustic images to determine the chromophore concentrations. The scheme was validated using images acquired in a tissue phantom at wavelengths between 590 nm and 980 nm . The phantom comprised a scattering emulsion in which up to four tubes, filled with absorbing solutions of copper and nickel chloride at different concentration ratios, were submerged. Photoacoustic signals were detected along a line perpendicular to the tubes from which images of the initial pressure distribution were reconstructed. By varying the excitation wavelength, sets of multiwavelength photoacoustic images were obtained. The majority of the determined chromophore concentrations were within ± 15 % of the true value, while the concentration ratios were determined with an average accuracy of 1.2 % .

© 2010 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(170.5120) Medical optics and biotechnology : Photoacoustic imaging
(300.0300) Spectroscopy : Spectroscopy

ToC Category:
Medical Optics and Biotechnology

Original Manuscript: April 30, 2009
Revised Manuscript: December 11, 2009
Manuscript Accepted: December 19, 2009
Published: March 3, 2010

Virtual Issues
Vol. 5, Iss. 7 Virtual Journal for Biomedical Optics

Jan Laufer, Ben Cox, Edward Zhang, and Paul Beard, "Quantitative determination of chromophore concentrations from 2D photoacoustic images using a nonlinear model-based inversion scheme," Appl. Opt. 49, 1219-1233 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. Y. Lao, D. Xing, S. Yang, and L. Xiang, “Noninvasive photoacoustic imaging of the developing vasculature during early tumor growth,” Phys. Med. Biol. 53, 4203-4212 (2008). [CrossRef] [PubMed]
  2. E. Z. Zhang, J. G. Laufer, R. B. Pedley, and P. C. Beard, “in vivo high-resolution 3D photoacoustic imaging of superficial vascular anatomy,” Phys. Med. Biol. , 54, 1035-1046 (2009). [CrossRef] [PubMed]
  3. H. F. Zhang, K. Maslov, G. Stoica, and L. V. Wang, “Functional photoacoustic microscopy for high-resolution and noninvasive in vivo imaging,” Nat. Biotechnol. 24, 848-851 (2006). [CrossRef] [PubMed]
  4. J. Laufer, E. Zhang, G. Raivich, and P. Beard, “Three-dimensional noninvasive imaging of the vasculature in the mouse brain using a high resolution photoacoustic scanner,” Appl. Opt. 48, D299-D306 (2009). [CrossRef] [PubMed]
  5. X. Wang, Y. Pang, G. Ku, X. Xie, G. Stocia, and L. V. Wang, “Noninvasive laser-induced photoacoustic tomography for structural and functional in vivo imaging of the brain,” Nat. Biotechnol. 21, 803-806 (2003). [CrossRef] [PubMed]
  6. B. T. Cox, J. G. Laufer, and P. C. Beard, “The challenges for quantitative photoacoustic imaging,” Proc. SPIE 7177, 717713(2009). [CrossRef]
  7. J. G. Laufer, D. Delpy, C. Elwell, and P. C. Beard, “Quantitative spatially resolved measurement of tissue chromophore concentrations using photoacoustic spectroscopy: application to the measurement of blood oxygenation and hemoglobin concentration,” Phys. Med. Biol. 52, 141-168 (2007). [CrossRef]
  8. A. De La Zerda, C. Zavaleta, S. Keren, S. Vaithilingam, S. Bodapati, Z. Liu, J. Levi, B. R. Smith, T. J. Ma, O. Oralkan, Z. Cheng, X. Y. Chen, H. J. Dai, B. T. Khuri-Yakub, and S. S. Gambhir, “Carbon nanotubes as photoacoustic molecular imaging agents in living mice,” Nat. Nano. 3, 557-562(2008). [CrossRef]
  9. J. Laufer, C. Elwell, D. Delpy, and P. Beard, “In vitro measurements of absolute blood oxygen saturation using pulsed near-infrared photoacoustic spectroscopy: accuracy and resolution,” Phys. Med. Biol. 50, 4409-4428 (2005). [CrossRef] [PubMed]
  10. K. Maslov, H. F. Zhang, and L. V. Wang, “Effects of wavelength-dependent fluence attenuation on the noninvasive photoacoustic imaging of hemoglobin oxygen saturation in subcutaneous vasculature in vivo,” Inverse Probl. 23, S113-S122 (2007). [CrossRef]
  11. H. F. Zhang, K. Maslov, and L. H. V. Wang, “In vivo imaging of subcutaneous structures using functional photoacoustic microscopy,” Nat. Protoc. 2, 797-804 (2007). [CrossRef] [PubMed]
  12. X. D. Wang, X. Y. Xie, G. N. Ku, and L. H. V. Wang, “Noninvasive imaging of hemoglobin concentration and oxygenation in the rat brain using high-resolution photoacoustic tomography,” J. Biomed. Opt. 11, 024015 (2006). [CrossRef] [PubMed]
  13. H. F. Zhang, K. Maslov, M. Sivaramakrishnan, G. Stoica, and L. H. V. Wang, “Imaging of hemoglobin oxygen saturation variations in single vessels in vivo using photoacoustic microscopy,” Appl. Phys. Lett. 90, 053901 (2007). [CrossRef]
  14. B. T. Cox, S. R. Arridge, K. P. Köstli, and P. C. Beard, “Two-dimensional quantitative photoacoustic image reconstruction of absorption distributions in scattering media by use of a simple iterative method,” Appl. Opt. 45, 1866-1875 (2006). [CrossRef] [PubMed]
  15. B. T. Cox, S. R. Arridge, and P. C. Beard, “Quantitative photoacoustic image reconstruction for molecular imaging,” Proc. SPIE , 6086, 60861M (2006). [CrossRef]
  16. C. G. Chai, Y. Q. Chen, P. C. Li, and Q. M. Luo, “Improved steady-state diffusion approximation with an anisotropic point source and the delta-Eddington phase function,” Appl. Opt. 46, 4843-4851 (2007). [CrossRef] [PubMed]
  17. L. H. Wang, S. L. Jacques, and L. Q. Zheng, “CONV--convolution for responses to a finite diameter photon beam incident on multi-layered tissues,” Comp. Methods Prog. Biomed. 54, 141-150(1997). [CrossRef]
  18. W. Lihong, L. J. Steven, and Z. Liqiong, “MCML--Monte Carlo modeling of light transport in multi-layered tissues,” Comp. Methods Prog. Biomed. 47, 131-146 (1995). [CrossRef]
  19. S. R. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delpy, “A finite element approach for modelling photon transport in tissue,” Med. Phys. 20, 299-309 (1993). [CrossRef] [PubMed]
  20. M. Schweiger and S. R. Arridge, “Comparison of two- and three-dimensional reconstruction methods in optical tomography,” Appl. Opt. 37, 7419-7428 (1998). [CrossRef]
  21. B. T. Cox and P. C. Beard, “Fast calculation of pulsed photoacoustic fields in fluids using k-space methods,” J. Acoust. Soc. Am. 117, 3616-3627 (2005). [CrossRef] [PubMed]
  22. B. T. Cox, S. Kara, S. R. Arridge, and P. C. Beard, “k-space propagation models for acoustically heterogeneous media: Application to biomedical photoacoustics,” J. Acoust. Soc. Am. 121, 3453-3464 (2007). [CrossRef] [PubMed]
  23. K. P. Köstli and P. C. Beard, “Two-dimensional photoacoustic imaging by use of fourier-transform image reconstruction and a detector with an anisotropic response,” Appl. Opt. 42, 1899-1908 (2003). [CrossRef] [PubMed]
  24. B. T. Cox, S. R. Arridge, and P. C. Beard, “Estimating chromophore distributions from multiwavelength photoacoustic images,” J. Opt. Soc. Am. A 26, 443-455 (2009). [CrossRef]
  25. J. Laufer, E. Zhang, and P. Beard, “Evaluation of absorbing chromophores used in tissue phantoms for quantitative photoacoustic spectroscopy and imaging,” J. Sel. Topics Quantum Electron. in press (2010).
  26. E. Zhang, J. G. Laufer, and P. C. Beard, “Backward-mode multiwavelength photoacoustic scanner using a planar Fabry-Perot polymer film ultrasound sensor for high-resolution three-dimensional imaging of biological tissues,” Appl. Opt. 47, 561-577 (2008). [CrossRef] [PubMed]
  27. G. M. Hale and M. R. Querry, “Optical constants of water in 200 nm to 200 μm wavelength region,” Appl. Opt. 12, 555-563(1973). [CrossRef] [PubMed]
  28. R. L. P. van Veen, H. J. C. M. Sterenborg, A. Pifferi, A. Torricelli, E. Chikoidze, and R. Cubeddu, “Determination of visible near-IR absorption coefficients of mammalian fat using time- and spatially resolved diffuse reflectance and transmission spectroscopy,” J. Biomed. Opt. 10, 054004 (2005). [CrossRef] [PubMed]
  29. A. J. Welch and M. J. C. v. Gemert, Optical-Thermal Response of Laser-Irradiated Tissue (Plenum, 1995).
  30. R. Michels, F. Foschum, and A. Kienle, “Optical properties of fat emulsions,” Opt. Express 16, 5907-5925 (2008). [CrossRef] [PubMed]
  31. A. S. T. Blake, G. W. Petley, and C. D. Deakin, “Effects of changes in packed cell volume on the specific heat capacity of blood: implications for studies measuring heat exchange in extracorporeal circuits,” Br. J. Anaesth. 84, 28-32 (2000). [PubMed]

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