Limits of high-order perturbation theory in time-domain optical mammography.

Higher order corrections to the Born approximation in perturbation theory are derived in order to improve its performance with the experiments in slablike geometry. A general expression of the nth order correction to absorption is developed. The cross talking between absorption and scattering is given. The convergence for higher orders of perturbation analysis for absorbing inclusions was studied. Second order absorption and scattering contributions to the transmitted flux are discussed by analyzing the data from forward simulations. The validity of the results is proven in the experiments with phantoms simulating breast tumors. The significant improvement for the fitted values of the absorption is observed. The alternative application of developed formalism as the first order theory to treat the multiple inclusions is suggested.

[1]  R R Alfano,et al.  Photon-transport forward model for imaging in turbid media. , 2001, Optics letters.

[2]  S. Arridge Photon-measurement density functions. Part I: Analytical forms. , 1995, Applied optics.

[3]  Alessandro Torricelli,et al.  Experimental assessment of analytical models for estimating tumor optical properties in laser pulse mammography , 2005, European Conference on Biomedical Optics.

[4]  B. Wilson,et al.  Time resolved reflectance and transmittance for the non-invasive measurement of tissue optical properties. , 1989, Applied optics.

[5]  Heidrun Wabnitz,et al.  Quantification of optical properties of a breast tumor using random walk theory. , 2002, Journal of biomedical optics.

[6]  D Contini,et al.  Photon migration through a turbid slab described by a model based on diffusion approximation. I. Theory. , 1997, Applied optics.

[7]  Multiple passages of light through an absorption inhomogeneity in optical imaging of turbid media. , 2004, Optics letters.

[8]  S De Nicola,et al.  Perturbation model to predict the effect of spatially varying absorptive inhomogeneities in diffusing media. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  A H Gandjbakhche,et al.  Quantification by random walk of the optical parameters of nonlocalized abnormalities embedded within tissuelike phantoms. , 2000, Optics letters.

[10]  S R Arridge,et al.  Imaging through scattering media by the use of an analytical model of perturbation amplitudes in the time domain. , 1996, Applied optics.

[11]  Alessandro Torricelli,et al.  Experimental test of a perturbation model for time-resolved imaging in diffusive media. , 2003, Applied optics.

[12]  Heidrun Wabnitz,et al.  Contrast and spatial resolution of time-resolved transillumination images , 1995, European Conference on Biomedical Optics.

[13]  F Martelli,et al.  Independence of the diffusion coefficient from absorption: experimental and numerical evidence. , 1997, Optics letters.

[14]  Y Painchaud,et al.  Inclusion characterization in a scattering slab with time-resolved transmittance measurements: perturbation analysis. , 2000, Applied optics.

[15]  Yves Painchaud,et al.  Time-domain perturbation analysis of a scattering slab , 1999, Photonics West - Biomedical Optics.

[16]  K. T. Moesta,et al.  Concentration and oxygen saturation of haemoglobin of 50 breast tumours determined by time-domain optical mammography. , 2004, Physics in medicine and biology.

[17]  F Martelli,et al.  Accuracy of a perturbation model to predict the effect of scattering and absorbing inhomogeneities on photon migration. , 2001, Applied optics.

[18]  S L Jacques,et al.  Perturbation theory for diffuse light transport in complex biological tissues. , 1997, Journal of the Optical Society of America. A, Optics, image science, and vision.

[19]  Simon R. Arridge,et al.  Reconstruction methods for infrared absorption imaging , 1991, Photonics West - Lasers and Applications in Science and Engineering.

[20]  R. Cubeddu,et al.  Use of a nonlinear perturbation approach for in vivo breast lesion characterization by multiwavelength time-resolved optical mammography. , 2003, Optics express.

[21]  P M Schlag,et al.  Development of a time-domain optical mammograph and first in vivo applications. , 1999, Applied optics.