2009
DOI: 10.1364/ol.34.001765
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Quantitative photoacoustic tomography based on the radiative transfer equation

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 … Show more

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Cited by 62 publications
(55 citation statements)
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“…Cox et al 87,88 demonstrated this scheme with numerical examples in 2-D using a finite-element model of the DA, although it will also apply in 3-D and does not depend on this particular choice of light model or on any particular illumination geometry. Indeed, the same scheme has been used with the RTE 89 (Sec. 5.3).…”
Section: Fixed-point Iterationmentioning
confidence: 99%
See 1 more Smart Citation
“…Cox et al 87,88 demonstrated this scheme with numerical examples in 2-D using a finite-element model of the DA, although it will also apply in 3-D and does not depend on this particular choice of light model or on any particular illumination geometry. Indeed, the same scheme has been used with the RTE 89 (Sec. 5.3).…”
Section: Fixed-point Iterationmentioning
confidence: 99%
“…Unfortunately, this decomposition is impractical for most biological media of interest. Yao et al 89 used the RTE with the fixed-point iteration of Sec. 5.1.3, which assumes that the scattering is known, and compared it with the same inversion using the DA.…”
Section: Inversions For Absorption and Scattering: Rtementioning
confidence: 99%
“…30,32 To overcome this problem, one approach has been to assume the scattering as known and to estimate only the absorption. [35][36][37][38][39][40] This, however, is unrealistic since in practical applications scattering is usually not exactly known. This approach has been improved by modeling the errors caused by the fixed scattering assumption by using a Bayesian approximation error modeling.…”
Section: Introductionmentioning
confidence: 99%
“…Although there has been some success in achieving quantitative information from PA images, previous studies have largely been done in simulation, [22][23][24][25][26][27][28] or applied iterative approaches using the PA image in conjunction with a light transport model to arrive at a least squares solution of the absorption coefficient by assuming uniform bulk optical properties. 24,[29][30][31][32] With our hybrid technique, DOT is used to recover low-resolution absorption and reduced scattering coefficient maps of a tissue-mimicking phantom that was initially imaged in a PAI system. The optical properties and the nonuniform surface fluence pattern of the PAI system are input parameters to a light-tissue model that calculates the fluence throughout the phantom.…”
Section: Introductionmentioning
confidence: 99%