Sensitivity analysis to optical properties of biological tissues subjected to a short-pulsed laser using the time-dependent radiative transfer equation

• Published in: Journal of quantitative spectroscopy & radiative transfer 2014-01, Vol.133, p.117-127
• Main Authors: Marin, M., Asllanaj, F., Maillet, D.
• Format: Article
• Language: English
• Subjects: Biological; Biological tissue optics; Engineering Sciences; Finite-volume method; Lasers; Mathematical analysis; Mathematical models; NIR short-pulsed laser; Radiative transfer; Reflectance; Reflectivity; Sensitivity analysis; Time-dependent radiative transfer equation; Variance–covariance matrix of the estimator
• ISSN: 0022-4073; 1879-1352
• DOI: 10.1016/j.jqsrt.2013.07.022

Visible and near-infrared spectral range of light can be used for estimating the optical properties of a biological tissue in a non-invasive way starting from its response to an external light stimulus. A forward model based on the time-dependent radiative transfer equation, that accurately describes light propagation through such media, is considered and solved with a finite-volume method for the discretization of the spatial domain. Results in terms of fluence and of reflectance at the illuminated transparent or semi-transparent wall for liver and skin tissues subjected to a collimated short-pulsed near-infrared laser are presented and discussed. A sensitivity analysis of the reflectance in the time domain to the four optical parameters of the model shows that only two of them can be estimated: the asymmetry factor of the Henyey–Greenstein phase function as well as either the refractive index or the scattering coefficient of the tissue. The reduced model can be used to invert the experimental reflectance measured assuming the signal over noise ratio of the detector known in the corresponding non-invasive detection technique. •The RTE is considered to accurately describe light propagation in biological tissues.•The RTE is solved with a home-made computer code based on a finite-volume method.•Results for liver and skin subjected to a short-pulsed NIR laser are presented.•A sensitivity analysis shows that only 2 of 4 optical parameters can be estimated.•The reduced model can be effectively used in inverse problem from experimental data.