55. van Dam GM, Themelis G, Crane LM, Harlaar NJ, Pleijhuis RG, Kelder W, Sarantopoulos A,
de Jong JS, Arts HJ, van der Zee AG, Bart J, Low PS, Ntziachristos V (2011) Intraoperative
tumor-specific fluorescence imaging in ovarian cancer by folate receptor-alpha targeting: first
in-human results. Nat Med 17(10):1315–1319
56. Whitney MA, Crisp JL, Nguyen LT, Friedman B, Gross LA, Steinbach P, Tsien RY,
Nguyen QT (2011) Fluorescent peptides highlight peripheral nerves during surgery in mice.
Nat Biotechnol 29(4):352–356
57. Solomon B, Cornelis F (2016) Interventional molecular imaging. J Nucl Med 57(4):493–496
58. Tarvainen T, Vauhkonen M, Kolehmainen V, Kaipio JP (2005) Hybrid radiative-transferdiffusion model for optical tomography. Appl Optics 44(6):876–886
59. Tualle JM, Tinet E (2003) Derivation of the radiative transfer equation for scattering media
with a spatially varying refractive index. Opt Commun 228(1–3):33–38
60. Song X, Wang D, Chen N, Bai J, Wang H (2007) Reconstruction for free-space fluorescence
tomography using a novel hybrid adaptive finite element algorithm. Opt Express 15
(26):18300–18317
61. Han D, Yang X, Liu K, Qin C, Zhang B, Ma X, Tian J (2010) Efficient reconstruction method
for L1 regularization in fluorescence molecular tomography. Appl Optics 49(36):6930–6937
62. Hyde D, Miller EL, Brooks DH, Ntziachristos V (2010) Data specific spatially varying
regularization for multimodal fluorescence molecular tomography. IEEE Trans Med Imaging
29(2):365–374
63. Guo X, Liu X, Wang X, Tian F, Liu F, Zhang B, Hu G, Bai J (2010) A combined fluorescence
and microcomputed tomography system for small animal imaging. IEEE Trans Biomed Eng
57(12):2876–2883
64. Zhang B, Yang X, Qin C, Liu D, Zhu S, Feng J, Sun L, Liu K, Han D, Ma X, Zhang X,
Zhong J, Li X, Yang X, Tian J (2010) A trust region method in adaptive finite element
framework for bioluminescence tomography. Opt Express 18(7):6477–6491
65. Lin Y, Kwong TC, Bolisay L, Gulsen G (2012) Temperature-modulated fluorescence tomography based on both concentration and lifetime contrast. J Biomed Opt 17(5):056007
66. Han D, Tian J, Liu K, Feng J, Zhang B, Ma X, Qin C (2010) Sparsity-promoting tomographic
fluorescence imaging with simplified spherical harmonics approximation. IEEE Trans Biomed
Eng 57(10):2564–2567
67. Aydin ED, de Oliveira CR, Goddard AJ (2002) A comparison between transport and diffusion
calculations using a finite element-spherical harmonics radiation transport method. Med Phys
29(9):2013–2023
68. Khan T, Thomas A (2005) Comparison of P-N or spherical harmonics approximation for
scattering media with spatially varying and spatially constant refractive indices. Opt Commun
255(1–3):130–166
69. Klose AD, Larsen EW (2006) Light transport in biological tissue based on the simplified
spherical harmonics equations. J Comput Phys 220(1):441–470
70. Klose AD (2010) The forward and inverse problem in tissue optics based on the radiative
transfer equation: a brief review. J Quant Spectrosc Radiat Transf 111(11):1852–1853
71. Grella K, Schwab C (2011) Sparse tensor spherical harmonics approximation in radiative
transfer. J Comput Phys 230(23):8452–8473
72. Duderstadt JJ, Martin WR (1979) Transport theory. Wiley, New York
73. Arridge SR, Hebden JC (1997) Optical imaging in medicine: II. Modelling and reconstruction.
Phys Med Biol 42(5):841–853
74. Cong W, Wang G (2006) Boundary integral method for bioluminescence tomography.
J Biomed Opt 11(2):020503
75. Qin C, Tian J, Yang X, Liu K, Yan G, Feng J, Lv Y, Xu M (2008) Galerkin-based meshless
methods for photon transport in the biological tissue. Opt Express 16(25):20317–20333
76. Wright S, Schweiger M, Arridge SR (2007) Reconstruction in optical tomography using the
PN approximations. Meas Sci Technol 18(18):79–86
28
J. Tian et al.
de Jong JS, Arts HJ, van der Zee AG, Bart J, Low PS, Ntziachristos V (2011) Intraoperative
tumor-specific fluorescence imaging in ovarian cancer by folate receptor-alpha targeting: first
in-human results. Nat Med 17(10):1315–1319
56. Whitney MA, Crisp JL, Nguyen LT, Friedman B, Gross LA, Steinbach P, Tsien RY,
Nguyen QT (2011) Fluorescent peptides highlight peripheral nerves during surgery in mice.
Nat Biotechnol 29(4):352–356
57. Solomon B, Cornelis F (2016) Interventional molecular imaging. J Nucl Med 57(4):493–496
58. Tarvainen T, Vauhkonen M, Kolehmainen V, Kaipio JP (2005) Hybrid radiative-transferdiffusion model for optical tomography. Appl Optics 44(6):876–886
59. Tualle JM, Tinet E (2003) Derivation of the radiative transfer equation for scattering media
with a spatially varying refractive index. Opt Commun 228(1–3):33–38
60. Song X, Wang D, Chen N, Bai J, Wang H (2007) Reconstruction for free-space fluorescence
tomography using a novel hybrid adaptive finite element algorithm. Opt Express 15
(26):18300–18317
61. Han D, Yang X, Liu K, Qin C, Zhang B, Ma X, Tian J (2010) Efficient reconstruction method
for L1 regularization in fluorescence molecular tomography. Appl Optics 49(36):6930–6937
62. Hyde D, Miller EL, Brooks DH, Ntziachristos V (2010) Data specific spatially varying
regularization for multimodal fluorescence molecular tomography. IEEE Trans Med Imaging
29(2):365–374
63. Guo X, Liu X, Wang X, Tian F, Liu F, Zhang B, Hu G, Bai J (2010) A combined fluorescence
and microcomputed tomography system for small animal imaging. IEEE Trans Biomed Eng
57(12):2876–2883
64. Zhang B, Yang X, Qin C, Liu D, Zhu S, Feng J, Sun L, Liu K, Han D, Ma X, Zhang X,
Zhong J, Li X, Yang X, Tian J (2010) A trust region method in adaptive finite element
framework for bioluminescence tomography. Opt Express 18(7):6477–6491
65. Lin Y, Kwong TC, Bolisay L, Gulsen G (2012) Temperature-modulated fluorescence tomography based on both concentration and lifetime contrast. J Biomed Opt 17(5):056007
66. Han D, Tian J, Liu K, Feng J, Zhang B, Ma X, Qin C (2010) Sparsity-promoting tomographic
fluorescence imaging with simplified spherical harmonics approximation. IEEE Trans Biomed
Eng 57(10):2564–2567
67. Aydin ED, de Oliveira CR, Goddard AJ (2002) A comparison between transport and diffusion
calculations using a finite element-spherical harmonics radiation transport method. Med Phys
29(9):2013–2023
68. Khan T, Thomas A (2005) Comparison of P-N or spherical harmonics approximation for
scattering media with spatially varying and spatially constant refractive indices. Opt Commun
255(1–3):130–166
69. Klose AD, Larsen EW (2006) Light transport in biological tissue based on the simplified
spherical harmonics equations. J Comput Phys 220(1):441–470
70. Klose AD (2010) The forward and inverse problem in tissue optics based on the radiative
transfer equation: a brief review. J Quant Spectrosc Radiat Transf 111(11):1852–1853
71. Grella K, Schwab C (2011) Sparse tensor spherical harmonics approximation in radiative
transfer. J Comput Phys 230(23):8452–8473
72. Duderstadt JJ, Martin WR (1979) Transport theory. Wiley, New York
73. Arridge SR, Hebden JC (1997) Optical imaging in medicine: II. Modelling and reconstruction.
Phys Med Biol 42(5):841–853
74. Cong W, Wang G (2006) Boundary integral method for bioluminescence tomography.
J Biomed Opt 11(2):020503
75. Qin C, Tian J, Yang X, Liu K, Yan G, Feng J, Lv Y, Xu M (2008) Galerkin-based meshless
methods for photon transport in the biological tissue. Opt Express 16(25):20317–20333
76. Wright S, Schweiger M, Arridge SR (2007) Reconstruction in optical tomography using the
PN approximations. Meas Sci Technol 18(18):79–86
28
J. Tian et al.