Abstract

We describe a method for quantitative photoacoustic tomography (PAT) based on the radiative transfer equation (RTE) coupled with the Helmholtz photoacoustic wave equation. This RTE-based quantitative PAT allows for accurate recovery of absolute absorption coefficient images of heterogeneous media and provides significantly improved image reconstruction for the cases where the photon diffusion approximation may fail. The method and associated finite element reconstruction algorithm are validated using a series of tissuelike phantom experiments.

© 2009 Optical Society of America

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2007 (2)

2006 (4)

2005 (1)

2003 (2)

S. J. Norton and T. vo-Dinh, J. Opt. Soc. Am. A 20, 1859 (2003).
[CrossRef]

J. Heino, S. R. Arridge, J. Sikora, and E. Somersalo, Phys. Rev. E 68, 031908 (2003).
[CrossRef]

2002 (1)

G. Paltauf, J. Viator, S. Prahl, and S. Jacques, J. Acoust. Soc. Am. 112, 1536 (2002).
[CrossRef] [PubMed]

2001 (1)

A. A. Oraevsky, A. A. Karabutov, V. S. Solomatin, E. V. Savateeva, V. G. Andreev, Z. Gatalica, H. Singh, and R. D. Fleming, Proc. SPIE 4256, 6 (2001).
[CrossRef]

1998 (1)

A. H. Hielscher, R. E. Alcouffe, and R. L. Barbour, Phys. Med. Biol. 43, 1285 (1998).
[CrossRef] [PubMed]

1991 (1)

Alcouffe, R. E.

A. H. Hielscher, R. E. Alcouffe, and R. L. Barbour, Phys. Med. Biol. 43, 1285 (1998).
[CrossRef] [PubMed]

Andreev, V. G.

A. A. Oraevsky, A. A. Karabutov, V. S. Solomatin, E. V. Savateeva, V. G. Andreev, Z. Gatalica, H. Singh, and R. D. Fleming, Proc. SPIE 4256, 6 (2001).
[CrossRef]

Arridge, S.

Arridge, S. R.

J. Heino, S. R. Arridge, J. Sikora, and E. Somersalo, Phys. Rev. E 68, 031908 (2003).
[CrossRef]

Barbour, R. L.

A. H. Hielscher, R. E. Alcouffe, and R. L. Barbour, Phys. Med. Biol. 43, 1285 (1998).
[CrossRef] [PubMed]

Beard, P.

Cox, B.

Fleming, R. D.

A. A. Oraevsky, A. A. Karabutov, V. S. Solomatin, E. V. Savateeva, V. G. Andreev, Z. Gatalica, H. Singh, and R. D. Fleming, Proc. SPIE 4256, 6 (2001).
[CrossRef]

Gatalica, Z.

A. A. Oraevsky, A. A. Karabutov, V. S. Solomatin, E. V. Savateeva, V. G. Andreev, Z. Gatalica, H. Singh, and R. D. Fleming, Proc. SPIE 4256, 6 (2001).
[CrossRef]

Gu, X.

Heino, J.

J. Heino, S. R. Arridge, J. Sikora, and E. Somersalo, Phys. Rev. E 68, 031908 (2003).
[CrossRef]

Hielscher, A. H.

A. H. Hielscher, R. E. Alcouffe, and R. L. Barbour, Phys. Med. Biol. 43, 1285 (1998).
[CrossRef] [PubMed]

Jacques, S.

G. Paltauf, J. Viator, S. Prahl, and S. Jacques, J. Acoust. Soc. Am. 112, 1536 (2002).
[CrossRef] [PubMed]

Jiang, H.

Karabutov, A. A.

A. A. Oraevsky, A. A. Karabutov, V. S. Solomatin, E. V. Savateeva, V. G. Andreev, Z. Gatalica, H. Singh, and R. D. Fleming, Proc. SPIE 4256, 6 (2001).
[CrossRef]

Kostli, K.

Moes, C. J. M.

Norton, S. J.

Oraevsky, A. A.

A. A. Oraevsky, A. A. Karabutov, V. S. Solomatin, E. V. Savateeva, V. G. Andreev, Z. Gatalica, H. Singh, and R. D. Fleming, Proc. SPIE 4256, 6 (2001).
[CrossRef]

Paltauf, G.

G. Paltauf, J. Viator, S. Prahl, and S. Jacques, J. Acoust. Soc. Am. 112, 1536 (2002).
[CrossRef] [PubMed]

Prahl, S.

G. Paltauf, J. Viator, S. Prahl, and S. Jacques, J. Acoust. Soc. Am. 112, 1536 (2002).
[CrossRef] [PubMed]

Prahl, S. A.

Savateeva, E. V.

A. A. Oraevsky, A. A. Karabutov, V. S. Solomatin, E. V. Savateeva, V. G. Andreev, Z. Gatalica, H. Singh, and R. D. Fleming, Proc. SPIE 4256, 6 (2001).
[CrossRef]

Sikora, J.

J. Heino, S. R. Arridge, J. Sikora, and E. Somersalo, Phys. Rev. E 68, 031908 (2003).
[CrossRef]

Singh, H.

A. A. Oraevsky, A. A. Karabutov, V. S. Solomatin, E. V. Savateeva, V. G. Andreev, Z. Gatalica, H. Singh, and R. D. Fleming, Proc. SPIE 4256, 6 (2001).
[CrossRef]

Solomatin, V. S.

A. A. Oraevsky, A. A. Karabutov, V. S. Solomatin, E. V. Savateeva, V. G. Andreev, Z. Gatalica, H. Singh, and R. D. Fleming, Proc. SPIE 4256, 6 (2001).
[CrossRef]

Somersalo, E.

J. Heino, S. R. Arridge, J. Sikora, and E. Somersalo, Phys. Rev. E 68, 031908 (2003).
[CrossRef]

van Gemert, M. J. C.

van Marle, J.

van Staveren, H. J.

Viator, J.

G. Paltauf, J. Viator, S. Prahl, and S. Jacques, J. Acoust. Soc. Am. 112, 1536 (2002).
[CrossRef] [PubMed]

vo-Dinh, T.

Wang, Q.

Wu, C.

Yin, L.

Yuan, Z.

Zhang, Q.

Zhao, H.

Appl. Opt. (3)

Appl. Phys. Lett. (1)

Z. Yuan and H. Jiang, Appl. Phys. Lett. 88, 231101 (2006).
[CrossRef]

J. Acoust. Soc. Am. (1)

G. Paltauf, J. Viator, S. Prahl, and S. Jacques, J. Acoust. Soc. Am. 112, 1536 (2002).
[CrossRef] [PubMed]

J. Opt. Soc. Am. A (2)

Opt. Express (1)

Opt. Lett. (2)

Phys. Med. Biol. (1)

A. H. Hielscher, R. E. Alcouffe, and R. L. Barbour, Phys. Med. Biol. 43, 1285 (1998).
[CrossRef] [PubMed]

Phys. Rev. E (1)

J. Heino, S. R. Arridge, J. Sikora, and E. Somersalo, Phys. Rev. E 68, 031908 (2003).
[CrossRef]

Proc. SPIE (1)

A. A. Oraevsky, A. A. Karabutov, V. S. Solomatin, E. V. Savateeva, V. G. Andreev, Z. Gatalica, H. Singh, and R. D. Fleming, Proc. SPIE 4256, 6 (2001).
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Reconstructed absorption coefficient images ( mm 1 ) from the (a), (d) first, (b), (e) second, and (c), (f) third phantom experiments. (a)–(c) are from the RTE-based PAT, while (d)–(f) are from the DE-based PAT.

Fig. 2
Fig. 2

Reconstructed absorption coefficient profiles along (a) x = 0   mm for the images shown in Figs. 1a, 1d, (b) x = 1   mm for the images shown in Figs. 1b, 1e, and (c) x = 1   mm for the images shown in Figs. 1c, 1f.

Equations (3)

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2 p ( r , ω ) + k 0 2 p ( r , ω ) = i k 0 c 0 β Φ ( r ) C p ,
( I T I + λ I ) Δ χ = I T ( p 0 p c ) ,
( Ω + μ s + μ a ) φ ( r , Ω ) = μ s S n 1 φ ( r , Ω ) Θ ( Ω , Ω ) d Ω + q ( r , Ω ) ,

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