Hybrid radiative-transfer-diffusion model for optical tomography.

A hybrid radiative-transfer-diffusion model for optical tomography is proposed. The light propagation is modeled with the radiative-transfer equation in the vicinity of the laser sources, and the diffusion approximation is used elsewhere in the domain. The solution of the radiative-transfer equation is used to construct a Dirichlet boundary condition for the diffusion approximation on a fictitious interface within the object. This boundary condition constitutes an approximative distributed source model for the diffusion approximation in the remaining area. The results from the proposed approach are compared with finite-element solutions of the radiative-transfer equation and the diffusion approximation and Monte Carlo simulation. The results show that the method improves the accuracy of the forward model compared with the conventional diffusion model.

[1]  M S Patterson,et al.  Monte carlo diffusion hybrid model for photon migration in a two-layer turbid medium in the frequency domain. , 2000, Applied optics.

[2]  M. Schweiger,et al.  A general framework for iterative reconstruction algorithms in optical tomography using a finite element method , 1997 .

[3]  Akira Ishimaru,et al.  Wave propagation and scattering in random media , 1997 .

[4]  M. Schweiger,et al.  A finite element approach for modeling photon transport in tissue. , 1993, Medical physics.

[5]  D. Delpy,et al.  Quantitation of cerebral blood volume in human infants by near-infrared spectroscopy. , 1990, Journal of applied physiology.

[6]  M. Schweiger,et al.  The finite element model for the propagation of light in scattering media: a direct method for domains with nonscattering regions. , 2000, Medical physics.

[7]  D. Boas.  Diffuse photon probes of structural and dynamical properties of turbid media: Theory and biomedical applications , 1996 .

[8]  A. Żardecki,et al.  Off-axis propagation of a laser beam in low visibility weather conditions. , 1980, Applied optics.

[9]  R. Alcouffe,et al.  Comparison of finite-difference transport and diffusion calculations for photon migration in homogeneous and heterogeneous tissues. , 1998, Physics in medicine and biology.

[10]  H. A. Ferwerda,et al.  Scattering and absorption of turbid materials determined from reflection measurements. 1: theory. , 1983, Applied optics.

[11]  J. Hammersley,et al.  Monte Carlo Methods , 1965 .

[12]  E. Amaldi.  The Production and Slowing Down of Neutrons , 1959 .

[13]  A. Villringer,et al.  Cerebral haemoglobin oxygenation during sustained visual stimulation--a near-infrared spectroscopy study. , 1997, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[14]  Johannes-Maria Kaltenbach,et al.  Frequency- and time-domain modelling of light transport in random media , 1993, Other Conferences.

[15]  Simon Arridge,et al.  Anisotropic effects in highly scattering media. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  P M Schlag,et al.  Contrast features of breast cancer in frequency-domain laser scanning mammography. , 1998, Journal of biomedical optics.

[17]  G. C. Pomraning,et al.  Linear Transport Theory , 1967 .

[18]  Oliver Dorn,et al.  A transport-backtransport method for optical tomography , 1998 .

[19]  S. Arridge.  Optical tomography in medical imaging , 1999 .

[20]  S Arridge,et al.  3D optical tomography in the presence of void regions. , 2000, Optics express.

[21]  M. Schweiger,et al.  The finite element method for the propagation of light in scattering media: boundary and source conditions. , 1995, Medical physics.

[22]  Willem M. Star,et al.  Optical diffusion in layered media. , 1988, Applied optics.

[23]  E. Okada,et al.  Hybrid Monte Carlo-diffusion method for light propagation in tissue with a low-scattering region. , 2003, Applied optics.

[24]  Ville Kolehmainen,et al.  Time-series estimation of biological factors in optical diffusion tomography. , 2003, Physics in medicine and biology.

[25]  S. Arridge,et al.  State-estimation approach to the nonstationary optical tomography problem. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[26]  S. Jacques,et al.  Hybrid model of Monte Carlo simulation and diffusion theory for light reflectance by turbid media. , 1993, Journal of the Optical Society of America. A, Optics, image science, and vision.

[27]  Arridge,et al.  Optical tomography in the presence of void regions , 2000, Journal of the Optical Society of America. A, Optics, image science, and vision.

[28]  D. Benaron,et al.  Imaging Brain Injury Using Time-Resolved Near Infrared Light Scanning , 1996, Pediatric Research.

[29]  Erkki Somersalo,et al.  Estimation of optical absorption in anisotropic background , 2002 .

[30]  H. Flor,et al.  Non-invasive functional mapping of the human motor cortex using near-infrared spectroscopy. , 1996, Neuroreport.

[31]  L. C. Henyey,et al.  Diffuse radiation in the Galaxy , 1940 .

[32]  A. Villringer,et al.  Non-invasive optical spectroscopy and imaging of human brain function , 1997, Trends in Neurosciences.