A coupled finite element-boundary element method for modeling diffusion equation in 3D multi-modality optical imaging

Biomedical Optics Express

Volumn 1, Issue 2, 2010, Pages 398-413

  Srinivasan, Subhadra ^a   Ghadyani, Hamid R ^a   Pogue, Brian W ^a   Paulsen, Keith D ^a  

^a DARTMOUTH COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; FINITE ELEMENT METHOD; HISTOLOGY; IMAGE RECONSTRUCTION; PARTIAL DIFFERENTIAL EQUATIONS; THREE DIMENSIONAL; THREE DIMENSIONAL COMPUTER GRAPHICS; TISSUE;

ANATOMICAL STRUCTURES; COMPUTATIONAL TIME; COMPUTATIONALLY EFFICIENT; DIFFUSION EQUATIONS; DISCRETIZATIONS; ELEMENT METHOD; FEM TECHNIQUES; FINITE ELEMENT METHOD FEM; FREQUENCY DOMAINS; LIGHT DIFFUSION; MULTI-MODALITY; OPTICAL IMAGING; OPTICAL SPECTROSCOPY; PIECE-WISE; SPATIAL CONSTRAINTS; THREE-DIMENSIONAL IMAGE RECONSTRUCTION;

COUPLED CIRCUITS;

EID: 79955971661     PISSN: None     EISSN: 21567085     Source Type: Journal    
DOI: 10.1364/BOE.1.000398     Document Type: Article

References (40)

1. R. Weissleder, and M. J. Pittet, "Imaging in the era of molecular oncology," Nature 452(7187), 580-589 (2008).
2. A. Cerussi, D. Hsiang, N. Shah, R. Mehta, A. Durkin, J. Butler, and B. J. Tromberg, "Predicting response to breast cancer neoadjuvant chemotherapy using diffuse optical spectroscopy," Proc. Natl. Acad. Sci. U.S.A. 104(10), 4014-4019 (2007).
3. M. V. Schulmerich, J. H. Cole, K. A. Dooley, M. D. Morris, J. M. Kreider, S. A. Goldstein, S. Srinivasan, and B. W. Pogue, "Noninvasive Raman tomographic imaging of canine bone tissue," J. Biomed. Opt. 13(2), 020506 (2008).
4. C. M. Carpenter, B. W. Pogue, S. Jiang, H. Dehghani, X. Wang, K. D. Paulsen, W. A. Wells, J. Forero, C. Kogel, J. B. Weaver, S. P. Poplack, and P. A. Kaufman, "Image-guided optical spectroscopy provides molecularspecific information in vivo: MRI-guided spectroscopy of breast cancer hemoglobin, water, and scatterer size," Opt. Lett. 32(8), 933-935 (2007).
5. M. J. Niedre, R. H. de Kleine, E. Aikawa, D. G. Kirsch, R. Weissleder, and V. Ntziachristos, "Early photon tomography allows fluorescence detection of lung carcinomas and disease progression in mice in vivo," Proc. Natl. Acad. Sci. U.S.A. 105(49), 19126-19131 (2008).
6. M. Schweiger, and S. R. Arridge, "Comparison of two-and three-dimensional reconstruction methods in optical tomography," Appl. Opt. 37(31), 7419-7428 (1998).
7. P. K. Yalavarthy, D. R. Lynch, B. W. Pogue, H. Dehghani, and K. D. Paulsen, "Implementation of a computationally efficient least-squares algorithm for highly under-determined three-dimensional diffuse optical tomography problems," Med. Phys. 35(5), 1682-1697 (2008).
8. M. Schweiger, O. Dorn, A. Zacharopoulos, I. Nissila, and S. R. Arridge, "3D level set reconstruction of model and experimental data in Diffuse Optical Tomography," Opt. Express 18(1), 150-164 (2010).
9. G. Boverman, E. L. Miller, D. H. Brooks, D. Isaacson, Q. Fang, and D. A. Boas, "Estimation and statistical bounds for three-dimensional polar shapes in diffuse optical tomography," IEEE Trans. Med. Imaging 27(6), 752-765 (2008).
10. A. D. Zacharopoulos, M. Schweiger, V. Kolehmainen, and S. R. Arridge, "3D shape based reconstruction of experimental data in Diffuse Optical Tomography," Opt. Express 17(21), 18940-18956 (2009).
11. S. Srinivasan, B. W. Pogue, H. Dehghani, F. Leblond, and X. Intes, "Data subset algorithm for computationally efficient reconstruction of 3-D spectral imaging in diffuse optical tomography," Opt. Express 14(12), 5394-5410 (2006).
12. Q. Zhang, T. J. Brukilacchio, A. Li, J. J. Stott, T. Chaves, E. Hillman, T. Wu, M. Chorlton, E. Rafferty, R. H. Moore, D. B. Kopans, and D. A. Boas, "Coregistered tomographic x-ray and optical breast imaging: initial results," J. Biomed. Opt. 10(2), 024033-0240339 (2005).
13. S. C. Davis, K. S. Samkoe, J. A. O'Hara, S. L. Gibbs-Strauss, H. L. Payne, P. J. Hoopes, K. D. Paulsen, and B. W. Pogue, "MRI-coupled fluorescence tomography quantifies EGFR activity in brain tumors," Acad. Radiol. 17(3), 271-276 (2010).
14. R. B. Schulz, A. Ale, A. Sarantopoulos, M. Freyer, E. Soehngen, M. Zientkowska, and V. Ntziachristos, "Hybrid system for simultaneous fluorescence and x-ray computed tomography," IEEE Trans. Med. Imaging 29(2), 465-473 (2010).
15. C. Li, G. Wang, J. Qi, and S. R. Cherry, "Three-dimensional fluorescence optical tomography in small-animal imaging using simultaneous positron-emission-tomography priors," Opt. Lett. 34(19), 2933-2935 (2009).
16. K. D. Paulsen, and H. Jiang, "Enhanced frequency-domain optical image reconstruction in tissues through total-variation minimization," Appl. Opt. 35(19), 3447-3458 (1996).
17. P. K. Yalavarthy, B. W. Pogue, H. Dehghani, C. M. Carpenter, S. Jiang, and K. D. Paulsen, "Structural information within regularization matrices improves near infrared diffuse optical tomography," Opt. Express 15(13), 8043-8058 (2007).
18. Z. Yuan, Q. Zhang, E. S. Sobel, and H. Jiang, "Tomographic x-ray-guided three-dimensional diffuse optical tomography of osteoarthritis in the finger joints," J. Biomed. Opt. 13(4), 044006 (2008).
19. D. Hyde, E. L. Miller, D. H. Brooks, and V. Ntziachristos, "Data specific spatially varying regularization for multimodal fluorescence molecular tomography," IEEE Trans. Med. Imaging 29(2), 365-374 (2010).
20. C. M. Carpenter, S. Srinivasan, B. W. Pogue, and K. D. Paulsen, "Methodology development for three-dimensional MR-guided near infrared spectroscopy of breast tumors," Opt. Express 16(22), 17903-17914 (2008).
21. G. Boverman, E. L. Miller, A. Li, Q. Zhang, T. Chaves, D. H. Brooks, and D. A. Boas, "Quantitative spectroscopic diffuse optical tomography of the breast guided by imperfect a priori structural information," Phys. Med. Biol. 50(17), 3941-3956 (2005).
22. S. Srinivasan, B. W. Pogue, C. Carpenter, P. K. Yalavarthy, and K. D. Paulsen, "A boundary element approach for image-guided near-infrared absorption and scatter estimation," Med. Phys. 34(11), 4545-4557 (2007).
23. X. Zhang, C. T. Badea, and G. A. Johnson, "Three-dimensional reconstruction in free-space whole-body fluorescence tomography of mice using optically reconstructed surface and atlas anatomy," J. Biomed. Opt. 14(6), 064010 (2009).
24. A. Custo, D. A. Boas, D. Tsuzuki, I. Dan, R. Mesquita, B. Fischl, W. E. Grimson, and W. Wells 3rd, "Anatomical atlas-guided diffuse optical tomography of brain activation," Neuroimage 49(1), 561-567 (2010).
25. B. W. Pogue, S. Jiang, H. Dehghani, C. Kogel, S. Soho, S. Srinivasan, X. Song, T. D. Tosteson, S. P. Poplack, and K. D. Paulsen, "Characterization of hemoglobin, water, and NIR scattering in breast tissue: analysis of intersubject variability and menstrual cycle changes," J. Biomed. Opt. 9(3), 541-552 (2004).
26. J. Sikora, A. Zacharopoulos, A. Douiri, M. Schweiger, L. Horesh, S. R. Arridge, and J. Ripoll, "Diffuse photon propagation in multilayered geometries," Phys Med Biol (2006).
27. P. Vaupel, F. Kallinowski, and P. Okunieff, "Blood flow, oxygen and nutrient supply, and metabolic microenvironment of human tumors: a review," Cancer Res. 49(23), 6449-6465 (1989).
28. A. Ishimaru, Wave propagation and scattering in random media (Academic Press, Inc., New York, 1978), Vol. 1.
29. M. S. Patterson, B. C. Wilson, and D. R. Wyman, "The propagation of optical radiation in tissue I. models of radiation transport and their application," Lasers Med. Sci. 6(2), 155-168 (1991).
30. S. R. Arridge, M. Schweiger, M. Hiraoka, and D. T. Delpy, "A finite element approach for modeling photon transport in tissue," Med. Phys. 20(2), 299-309 (1993).
31. D. R. Lynch, Numerical partial differential equations for environmental scientists and engineers (Springer, 2005).
32. C. A. Brebbia and J. Dominguez, Boundary elements: an introductory course.
33. http://materialise.com/materialise/view/en/92078-Mimics.html, retrieved.
34. S. Srinivasan, C. Carpenter, B. W. Pogue, and K. D. Paulsen, "Image-guided near infrared spectroscopy using boundary element method: phantom validation," in SPIE 2009 BiOS Biomedical Optics Symposium: Multimodal Biomedical Imaging IV, 2009)
35. H. Dehghani, S. Srinivasan, B. W. Pogue, and A. Gibson, "Numerical modelling and image reconstruction in diffuse optical tomography," Philos. Transact. A Math. Phys. Eng. Sci. 367(1900), 3073-3093 (2009).
36. H. Ghadyani, J. M. Sullivan, Jr., and Z. Wu, "Boundary recovery for delaunay tetrahedral meshes using local topological transformations", Finite Elem. Anal. Des. 46(1-2), 74-83 (2010).
37. C. P. Bradley, G. M. Harris, and A. J. Pullan, "The computational performance of a high-order coupled FEM/BEM procedure in electropotential problems," IEEE Trans. Biomed. Eng. 48(11), 1238-1250 (2001).
38. H. Ammari, ed., Modeling and computations in electromagnetics (Springer, 2007).
39. G. Fischer, B. Tilg, R. Modre, G. J. Huiskamp, J. Fetzer, W. Rucker, and P. Wach, "A bidomain model based BEM-FEM coupling formulation for anisotropic cardiac tissue," Ann. Biomed. Eng. 28(10), 1229-1243 (2000).
40. K. D. Paulsen, and W. Liu, "Memory and operations count scaling of coupled finite element and boundary element systems of equations," Int. J. Numer. Methods Eng. 33(6), 1289-1303 (1992).