Details

Autor(en) / Beteiligte

• Vinckenbosch, Laura
• Lacaux, Céline
• Tindel, Samy
• Thomassin, Magalie
• Obara, Tiphaine

Titel

Monte Carlo methods for light propagation in biological tissues

Ist Teil von

• Mathematical biosciences, 2015-11, Vol.269 (269), p.48-60

Ort / Verlag

United States: Elsevier Inc

Erscheinungsjahr

2015

Quelle

Access via ScienceDirect (Elsevier)

Beschreibungen/Notizen

• •We give a formal probabilistic representation of light propagation in biological tissues.•We implement Monte Carlo based algorithms for the estimation of this solution.•These new methods are compared to the commonly used Wang method.•A random Levenberg–Marquardt algorithm estimates the optical parameters of the tissue. 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.