Abstract
Generation of an accurate Cerenkov luminescence imaging model is a current issue of nuclear tomography with optical techniques. The article takes a pro-active approach toward whole-body Cerenkov luminescence tomography. The finite element framework employs the equation of radiative transfer via the third-order simplified spherical harmonics approximation to model Cerenkov photon propagation in a small animal. After this forward model is performed on a digital mouse with optical property heterogeneity and compared with the Monte Carlo method, we investigated the whole body reconstruction algorithm along a regularization path via coordinate descent. The endpoint of the follow-up study is the in vivo application, which provides three-dimensional biodistribution of the radiotracer uptake in the mouse from measured partial boundary currents. The combination of the forward and inverse model with elastic-net penalties is not only validated by numerical simulation, but it also effectively demonstrates in vivo imaging in small animals. Our exact reconstruction method enables optical molecular imaging to best utilize Cerenkov radiation emission from the decay of medical isotopes in tissues.
Similar content being viewed by others
References
Arridge, S. R., and J. C. Schotland. Optical tomography: forward and inverse problems. Inverse Probl. 25:123010, 2009.
Fortmann, T. E. A matrix inversion identity. IEEE. Trans. Autom. Control AC-15:599, 1970.
Friedman, J. H., T. Hastie, and R. Tibshirani. Regularization paths for generalized linear models via coordinate descent. J. Stat. Softw. 33:1–22, 2010.
Jelley, J. V. Cerenkov radiation and its application. Br. J. Appl. Phys. 6:227–232, 1955.
Klose, A. D., and B. J. Beattie. Bioluminescence tomography with SP3 equations. In: OSA Topical Meetings: Biomedical Optics, St. Petersburg, FL, USA, March 15–20, BMC8, 2008.
Klose, A. D., and E. W. Larsen. Light transport in biological tissue based on the simplified spherical harmonics equations. J. Comput. Phys. 220:441–470, 2006.
Li, C., G. S. Mitchell, and S. R. Cherry. Cerenkov luminescence tomography for small animal imaging. Opt. Lett. 35:1109–1111, 2010.
Liu, K., Y. Lu, J. Tian, C. Qin, X. Yang, S. Zhu, X. Yang, Q. Gao, and D. Han. Evaluation of the simplified spherical harmonics approximation in bioluminescence tomography through heterogeneous mouse models. Opt. Express. 18:20988–21002, 2010.
Liu, H., G. Ren, S. Liu, X. Zhang, L. Chen, P. Han, and Z. Cheng. Optical imaging of reporter gene expression using a positron-emission-tomography probe. J. Biomed. Opt. 15:060505, 2010.
Liu, H. G., G. Ren, Z. Miao, X. Zhang, X. Tang, P. Han, S. S. Gambhir, and Z. Cheng. Molecular optical imaging with radioactive probes. PLoS One 5:e9470, 2010.
Liu, H., X. Zhang, B. Xing, P. Han, S. S. Gambhir, and Z. Cheng. Radiation luminescence excited quantum dots for in vivo multiplexed optical imaging. Small 6:1087–1091, 2010.
Lu, Y., A. Douraghy, H. B. Machado, D. Stout, J. Tian, H. Herschman, and A. F. Chatziioannou. Spectrally-resolved bioluminescence tomography with the third-order simplified spherical harmonics approximation. Phys. Med. Biol. 54:6477–6493, 2009.
Pysz, M. A., S. S. Gambhir, and J. K. Willmann. Molecular imaging: current status and emerging strategies. Clin. Radiol. 65:500–516, 2010.
Reiner, B. I. N., N. Knight, and E. L. Siegel. Radiology reporting, past, present, and future: the radiologist’s perspective. J. Am. Coll. Radiol. 4:313–319, 2007.
Ren, N., J. Liang, X. Qu, J. Li, B. Lu, and J. Tian. GPU-based Monte Carlo simulation for light propagation in complex heterogeneous tissues. Opt. Express. 18:6811–6823, 2010.
Robertson, R., M. S. Germannos, C. Li, G. S. Mitchell, S. R. Cherry, and M. D. Silva. Optical imaging of Cerenkov light generation from positron-emitting radiotracers. Phys. Med. Biol. 54:N355–N365, 2009.
Ruggiero, A., J. P. Holland, J. S. Lewis, and J. Grimm. Cerenkov luminescence imaging of medical isotopes. J. Nucl. Med. 51:1123–1130, 2010.
Spinelli, A. E., D. D’Ambrosio, L. Calderan, M. Marengo, A. Sbarbati, and F. Boschi. Cerenkov radiation allows in vivo optical imaging of positron emitting radiotracers. Phys. Med. Biol. 55:483–495, 2010.
Tian, J., 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.
Zhao, H., F. Gao, Y. Tanikawa, and Y. Yamada. Time-resolved diffuse optical tomography and its application to in vitro and in vivo imaging. J. Biomed. Opt. 12:062107, 2007.
Zhu, S., J. Tian, G. Yan, C. Qin, and J. Feng. Cone beam micro-CT system for small animal imaging and performance evaluation. Int. J. Biomed. Imaging 2009:960573, 2009.
Acknowledgments
This article is supported by the National Basic Research Program of China (973 Program) under Grant No. 2011CB707700, the Knowledge Innovation Project of the Chinese Academy of Sciences under Grant No. KGCX2-YW-907, the Program for Changjiang Scholars and Innovative Research Team in University of Ministry of Education (PCSIRT) under Grant No. IRT0645, the Hundred Talents Program of the Chinese Academy of Sciences, the National Natural Science Foundation of China under Grant Nos. 81027002, 81071205, and the Science and Technology Key Project of Beijing Municipal Education Commission under Grant No. KZ200910005005.
Author information
Authors and Affiliations
Corresponding author
Additional information
Associate Editor Jing Bai oversaw the review of this article.
Rights and permissions
About this article
Cite this article
Zhong, J., Tian, J., Yang, X. et al. Whole-Body Cerenkov Luminescence Tomography with the Finite Element SP3 Method. Ann Biomed Eng 39, 1728–1735 (2011). https://doi.org/10.1007/s10439-011-0261-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10439-011-0261-1