Vinckenbosch, Laura Lacaux, Céline Tindel, Samy Thomassin, Magalie Obara, Tiphaine 2015-09-08 Light propagation in turbid media is driven by the equation of radiative transfer. We give a formal probabilistic representation of its solution in the framework of biological tissues and we implement algorithms based on Monte Carlo methods in order to estimate the quantity of light that is received by a homogeneous tissue when emitted by an optic fiber. A variance reduction method is studied and implemented, as well as a Markov chain Monte Carlo method based on the Metropolis–Hastings algorithm. The resulting estimating methods are then compared to the so-called Wang–Prahl (or Wang) method. Finally, the formal representation allows to derive a non-linear optimization algorithm close to Levenberg–Marquardt that is used for the estimation of the scattering and absorption coefficients of the tissue from measurements application/pdf https://folia.unifr.ch/global/documents/304656 https://folia.unifr.ch/documents/304656/files/vin_mcm.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1016/j.mbs.2015.08.017 info:eu-repo/semantics/openAccess License undefined Mathematical Biosciences. - 2015, vol. 269, p. 48–60 Light propagation Equation of radiative transfer Markov chain Monte Carlo methods Parameter estimation info:eu-repo/classification/udc/51 Monte Carlo methods for light propagation in biological tissues http://purl.org/coar/resource_type/c_6501