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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 19 — Sep. 14, 2009
  • pp: 16834–16848

Three-dimensional Bioluminescence Tomography based on Bayesian Approach

Jinchao Feng, Kebin Jia, Chenghu Qin, Guorui Yan, Shouping Zhu, Xing Zhang, Junting Liu, and Jie Tian  »View Author Affiliations


Optics Express, Vol. 17, Issue 19, pp. 16834-16848 (2009)
http://dx.doi.org/10.1364/OE.17.016834


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Abstract

Bioluminescence tomography (BLT) poses a typical ill-posed inverse problem with a large number of unknowns and a relatively limited number of boundary measurements. It is indispensable to incorporate a priori information into the inverse problem formulation in order to obtain viable solutions. In the paper, Bayesian approach has been firstly suggested to incorporate multiple types of a priori information for BLT reconstruction. Meanwhile, a generalized adaptive Gaussian Markov random field (GAGMRF) prior model for unknown source density estimation is developed to further reduce the ill-posedness of BLT on the basis of finite element analysis. Then the distribution of bioluminescent source can be acquired by maximizing the log posterior probability with respect to a noise parameter and the unknown source density. Furthermore, the use of finite element method makes the algorithm appropriate for complex heterogeneous phantom. The algorithm was validated by numerical simulation of a 3-D micro-CT mouse atlas and physical phantom experiment. The reconstructed results suggest that we are able to achieve high computational efficiency and accurate localization of bioluminescent source.

© 2009 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(110.6960) Imaging systems : Tomography
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.3660) Medical optics and biotechnology : Light propagation in tissues

ToC Category:
Image Processing

History
Original Manuscript: May 26, 2009
Revised Manuscript: August 23, 2009
Manuscript Accepted: September 1, 2009
Published: September 8, 2009

Virtual Issues
Vol. 4, Iss. 11 Virtual Journal for Biomedical Optics

Citation
Jinchao Feng, Kebin Jia, Chenghu Qin, Guorui Yan, Shouping Zhu, Xing Zhang, Junting Liu, and Jie Tian, "Three-dimensional Bioluminescence Tomography based on Bayesian approach," Opt. Express 17, 16834-16848 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-19-16834


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References

  1. V. Ntziachristos, J. Ripoll, L. V. Wang, and R. Weissleder, "Looking and listensing to light: the evolution of whole-body photonic imaging," Nat. Biotechnol 23, 313-320 (2005). [CrossRef] [PubMed]
  2. C. H. Contag and M. H. Bachmann, "Advances in bioluminescence imaging of gene expression," Annu. Rev. Biomed. Eng. 4, 235-260 (2002). [CrossRef] [PubMed]
  3. B. W. Rice, M. D. Cable, and M. B. Nelson, "In vivo imaging of light-emitting probes," J. Biomed. Opt. 6, 432-440 (2001). [CrossRef] [PubMed]
  4. Z. Paroo, R. A. Bollinger, D. A. Braascb, E. Ricber, and D. R. Corey, "Validating Bioluminescence Imaging as a High-Throughput, Quantitiative Modality for Assesing Tumor Burden," Mol. Imaging 3, 117-124 (2004). [CrossRef] [PubMed]
  5. G. Wang, E. A. Hoffman, G. McLennan, L. V. Wang, M. Suter, and J. Meinel, "Development of the first bioluminescenct CT Scanner," Radiology 229(P), 566 (2003).
  6. E. E. Graves, J. Ripoll, R. Weissleder, and V. Ntziachristos, "A submillimeter resolution fluorescence molecular imaging system for small animal imaging," Med. Phys. 30901-911 (2003). [CrossRef] [PubMed]
  7. T. F. Massoud and S. S. Gambhir, "Molecular imaging in living subjects: seeing fundamental biological processes in a new light," Genes Dev. 17, 545-580 (2003). [CrossRef] [PubMed]
  8. M. Allard, D. Cˆot´e, L. Davidson, J. Dazai, and R. M. Henkelman, "Combined magnetic resonance and bioluminescence imaging of live mice," J. Biomed. Opt. 12(3), 034018-1-11 (2007).
  9. W. Cong, G. Wang, D. Kumar, Y. Liu, M. Jiang, L. V. Wang, E. A. Hoffman, G. McLennan, P. B. McCray, J. Zabner, and A. Cong, "Practical reconstruction method for bioluminescence tomography," Opt. Express 13, 6765-6771 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=OPEX-13-18-6756. [CrossRef]
  10. W. Cong and G. Wang, "Iterative method for bioluminescence tomography based on the radiative transport equation," Proc. SPIE 6318, 631826-1-7 (2006).
  11. G. Wang, Y. Li, and M. Jiang, "Uniqueness theorems in bioluminescence tomography," Med. Phys. 31, 2289-2299 (2004). [CrossRef] [PubMed]
  12. A. D. Klose, V. Ntziachristos, and A. H. Hielscher, "The inverse source problem based on the radiative transfer equation in optical molecular imaging," J. Comput. Phys. 202, 323-345 (2005). [CrossRef]
  13. A. P. Gibson, J. C. Hebden, and S. R. Arridge "Recent advances in diffuse optical imaging," Phys. Med. Biol. 50R1-R43 (2005). [CrossRef] [PubMed]
  14. X. Gu, Q. Zhang, L. Larcom, and H. Jiang, "Three-dimensional bioluminescence tomography with model-based reconstruction," Opt. Express 12, 3996-4000 (2004), http://www.opticsinfobase.org/oe/abstract.cfm?URI=OPEX-12-17-3996. [CrossRef] [PubMed]
  15. G. Alexandrakis, F. R. Rannou, and A. F. Chatziioannou, "Tomographic bioluminescence imaging by use of a combined optical-PET (OPET) system: a computer simulation feasibility study," Phys. Med. Biol. 50, 4225-4241 (2005). [CrossRef] [PubMed]
  16. A. J. Chaudhari, F. Darvas, J. R. Bading, R. A. Moats, P. S. conti, D. J. Smith, S. R. Cherry, and R. M. Leahy, "Hyperspectral and multispectral bioluminescence optical tomography for small animal imaging," Phys. Med. Biol. 50, 5421-5441 (2005). [CrossRef] [PubMed]
  17. N. V. Slavine, M. A. Lewis, E. Richer, and P. P. Antich, "Iterative reconstruction method for light emitting sources based on the diffusion equation," Med. Phys. 33, 61-68 (2006). [CrossRef] [PubMed]
  18. G. Wang, W. Cong, K. Durairaj, X. Qian, H. Shen, P. Sinn, E. Hoffman, G. McLennan, and M. Henry, "In vivo mouse studies with bioluminescence tomography," Opt. Express 14, 7801-7809 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-17-7801. [CrossRef] [PubMed]
  19. Y. Lv, J. Tian, W. Cong, G. Wang, J. Luo, W. Yang, and H. Li, "A multilevel adaptive finite element algorithm for bioluminescence tomography," Opt. Express 14, 8211-8223 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-18-8211. [CrossRef] [PubMed]
  20. G. Wang, H. Shen, W. Cong, S. Zhao, and G. Wei, "Temperature-modulated bioluminescence tomography," Opt. Express 14, 7852-7871 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-17-7852. [CrossRef] [PubMed]
  21. M. Jiang, T. Zhou, J. Cheng, W. Cong, and G. Wang, "Image reconstruction for bioluminescence tomography from partial measurement," Opt. Express 15,11095-11116 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-18-11095. [CrossRef] [PubMed]
  22. Y. Lv, J. Tian, W. Cong, G. Wang, W. Yang, C. Qin, and M. Xu, "Spectrally resolved bioluminescence tomography with adaptive finite element: methodology and simulation," Phys. Med. Biol. 524497-4512 (2007). [CrossRef] [PubMed]
  23. Q. Zhang, L. Yin, Y. Tan, Z. Yuan, and H. Jiang, "Quantitative bioluminescence tomography guided by diffuse optical tomography," Opt. Express 16, 1481-1486 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-3-1481. [CrossRef] [PubMed]
  24. J. Feng, K. Jia, G. Yan, S. Zhu, C. Qin, Y. Lv, and J. Tian, "An optimal permissible source region strategy for multispectral bioluminescence tomography," Opt. Express 16, 15640-15654 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-20-15640. [CrossRef] [PubMed]
  25. J. Tian, J. Bai, X. Yan, S. Bao, Y. Li, W. Liang, and X. Yang, "Multimodality molecular imaging," IEEE Eng. Med. Biol. Mag. 27, 48-57 (2008). [CrossRef] [PubMed]
  26. J. C. Ye, K. J. Webb, and C. A. Bouman, "Optical diffusion tomography by iterative coordinate descent optimization in a Bayesian framework," J. Opt. Soc. Am. A 16, 2400-2412 (1999). [CrossRef]
  27. J. C. Ye, C. A. Bouman, K. J. Webb, and R. P. Millane, "Nonlinear multigrid algorithms for bayesian optical diffusion tomography," IEEE Trans. Image Process. 10, 909-922, (2001). [CrossRef]
  28. H. Li, J. Tian, F. Zhu, W. Cong, L. V. Wang, E. A. Hoffman, and G. Wang, "A Mouse Optical Simulation Environment (MOSE) to Investigate Bioluminescent Phenomena in the Living Mouse with Monte Carlo Method," Acad. Radiol. 11, 1029-1038 (2004). [CrossRef] [PubMed]
  29. S. R. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delpy, "A finite element approach for modeling photon transport in tissue," Med. Phys. 20, 299-309 (1993). [CrossRef] [PubMed]
  30. S. R. Arridge, "Optical tomography in medical imaging," Inverse Probl. 15, 41-93 (1999). [CrossRef]
  31. M. Schweiger, S. R. Arridge, M. Hiraoka, and D. T. Delpy, "The finite element method for the propagation of light in scattering media: Boundary and source conditions," Med. Phys. 22, 1779-1792 (1995). [CrossRef] [PubMed]
  32. C. A. Bouman and K. Sauer, "A generalized Gaussian imaging model for edge-preserving MAP estimation," IEEE Trans. Image Process. 2, 296-310 (1993). [CrossRef] [PubMed]
  33. S. S. Saquib, K. M. Hanson, and G. S. Cunningham, "Model-based image reconstruction from time-resolved diffusion data," Proc. SPIE 3034, 369-380 (1997). [CrossRef]
  34. A. Mohammad-Djafari, "Joint estimation of parameters and hyperparameters in a Bayesian approach of solving inverse problems," In Proceedings of IEEE Internation Conference on Image Processing 2, 473-476 (1996). [CrossRef]
  35. P. E. Gill, W. Murray, and M. Wright, Practical optimization, (Academic Press, New York, 1981).
  36. E. G. Birgin, J. M. Martinez, "A box-constrained optimization algorithm with negative curvature directions and spectral projected gradients," Computing, Sup. 15, 49-60 (2001). [CrossRef]
  37. E. G. Birgin, J. M. Martinez, "Large-scale Active-Set Box-Constrained Optimization Method with Spectral Projected Gradients," Comput. Optim. Appl. 23, 101-125, (2002). [CrossRef]
  38. N. Dehiolanis, T. Lasser, D. Hyde, A. Soubret, J. Ripoll, and V. Ntziachristos, "Free-space fluorescence molecular tomography utilizing 360? geometry projections," Opt. Lett. 32, 382-384 (2007). [CrossRef]
  39. H. Meyer, A. Garofalakis, G. Zacharakis, S. Psycharakis, C. Mamalaki, D. Kioussis, E. N. Economou, V. Ntziachristos, and J. Ripoll, "Noncontact optical imaging in mice with full angular coverage and automatic surface extraction," Appl. Opt. 46, 3617-3627 (2007). [CrossRef] [PubMed]
  40. T. Chen, "Digital Camera System Simulator and applications," Ph. D. Thesis, Stanford University (2003).
  41. D. Qin, H. Zhao, Y. Tanikawa, and F. Gao, "Experimental determination of optical properties in turbid medium by TCSPC technique," Proc. SPIE 6434, 64342E (2007). [CrossRef]
  42. C. Qin, J. Tian, X. Yang, K. Liu, G. Yan, J. Feng, Y. Lv, and M. Xu, "Galerkin-based meshless methods for photon transport in the biological tissue," Opt. Express 16, 20317-20333 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-25-20317. [CrossRef] [PubMed]
  43. S. Zhu, J. Tian, G. Yan, C. Qin and J. Liu, "An experimental cone-beam micro-CT system for small animal imaging," Proc. SPIE 7258, 72582S (2009). [CrossRef]
  44. G. Yan, J. Tian, S. Zhu, Y. Dai, and C. Qin, "Fast cone-beam CT image reconstruction using GPU hardware," IJ. X-Ray Sci.Technol. 16, 225-234 (2008).

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