Self calibration iso-pathlength point in cylindrical tissue geometry: solution of steady-state photon diffusion based on the extrapolated zero-boundary
Author(s) -
Hamootal Duadi,
Daqing Piao,
Dror Fixler
Publication year - 2018
Publication title -
osa continuum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.592
H-Index - 8
ISSN - 2578-7519
DOI - 10.1364/osac.2.000092
Subject(s) - monte carlo method , diffusion , photon diffusion , radius , optics , photon transport in biological tissue , steady state (chemistry) , calibration , boundary (topology) , boundary value problem , point source , surface (topology) , photon , attenuation coefficient , work (physics) , point (geometry) , physics , geometry , mathematical analysis , chemistry , mathematics , computer science , light source , statistics , dynamic monte carlo method , quantum mechanics , direct simulation monte carlo , computer security , thermodynamics
Near-infrared optical techniques permit tissue diagnosis by surface measurement. However, the geometrical shape of this interface profiles the intensity of the surface measurement, which is found to have an iso-pathlength (IPL) point allowing for absorption identification independent of tissue scattering. The IPL point was projected in Monte Carlo (MC) simulation, validated experimentally in cylindrical tissues, but remains under-appreciated through analytical approaches. In this work, we present an analytical solution of an IPL point for steady-state diffusion based on the extrapolated zero-boundary condition. The same IPL points were found when comparing this solution to 3-D MC simulations for a tissue radius range of 5-8mm.
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