Numerical modeling of photon migration in the cerebral cortex of the living rat using the radiative transport equation

Accurate modeling and efficient calculation of photon migration in biological tissues is requested for determination of the optical properties of living tissues by in vivo experiments. This study develops a calculation scheme of photon migration for determination of the optical properties of the rat cerebral cortex (ca 0.2 cm thick) based on the three-dimensional time-dependent radiative transport equation assuming a homogeneous object. It is shown that the time-resolved profiles calculated by the developed scheme agree with the profiles measured by in vivo experiments using near infrared light. Also, an efficient calculation method is tested using the delta-Eddington approximation of the scattering phase function.

[1]  W Cong,et al.  Modeling photon propagation in biological tissues using a generalized Delta-Eddington phase function. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  J. Joseph,et al.  The delta-Eddington approximation for radiative flux transfer , 1976 .

[3]  A. Welch,et al.  A review of the optical properties of biological tissues , 1990 .

[4]  Yukio Yamada,et al.  Hybrid model of light propagation in random media based on the time-dependent radiative transfer and diffusion equations , 2014 .

[5]  Dinshaw S. Balsara,et al.  Fast and accurate discrete ordinates methods for multidimensional radiative transfer. Part I, basic methods , 2001 .

[6]  Vasilis Ntziachristos,et al.  The inverse source problem based on the radiative transfer equation in optical molecular imaging , 2005 .

[7]  Li-Ming Ruan,et al.  On the discrete ordinates method for radiative heat transfer in anisotropically scattering media , 2002 .

[8]  S. Jacques Optical properties of biological tissues: a review , 2013, Physics in medicine and biology.

[9]  G. Rybicki Radiative transfer , 2019, Climate Change and Terrestrial Ecosystem Modeling.

[10]  Yamada,et al.  Diffusion approximation for a dissipative random medium and the applications. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[11]  Alfano,et al.  When does the diffusion approximation fail to describe photon transport in random media? , 1990, Physical review letters.

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

[13]  B. Hooper Optical-thermal response of laser-irradiated tissue , 1996 .

[14]  S. Kumar,et al.  Discrete-ordinates solution of short-pulsed laser transport in two-dimensional turbid media. , 2001, Applied optics.

[15]  A H Hielscher,et al.  Iterative reconstruction scheme for optical tomography based on the equation of radiative transfer. , 1999, Medical physics.