UCL logo

UCL Discovery

UCL home » Library Services » Electronic resources » UCL Discovery

Multicanonical Monte-Carlo simulations of light propagation in biological media

Bilenca, A; Desjardins, A; Bouma, BE; Tearney, GJ; (2005) Multicanonical Monte-Carlo simulations of light propagation in biological media. OPTICS EXPRESS , 13 (24) pp. 9822-9833. 10.1364/OPEX.13.009822. Gold open access

Abstract

Monte-Carlo simulation is an important tool in the field of biomedical optics, but suffers from significant computational expense. In this paper, we present the multicanonical Monte-Carlo (MMC) method for improving the efficiency of classical Monte Carlo simulations of light propagation in biological media. The MMC is an adaptive importance sampling technique that iteratively equilibrates at the optimal importance distribution with little (if any) a priori knowledge of how to choose and bias the importance proposal distribution. We illustrate the efficiency of this method by evaluating the probability density function (pdf) for the radial distance of photons exiting from a semi-infinite homogeneous tissue as well as the pdf for the maximum penetration depth of photons propagating in an inhomogeneous tissue. The results agree very well with diffusion theory as well as classical Monte-Carlo simulations. A six to sevenfold improvement in computational time is achieved by the MMC algorithm in calculating pdf values as low as 10-8. This result suggests that the MMC method can be useful in efficiently studying numerous applications of light propagation in complex biological media where the remitted photon yield is low.

Type:Article
Title:Multicanonical Monte-Carlo simulations of light propagation in biological media
Open access status:An open access publication
DOI:10.1364/OPEX.13.009822
Publisher version:http://dx.doi.org/10.1364/OPEX.13.009822
Language:English
Additional information:© 2005 Optical Society of America
UCL classification:UCL > School of BEAMS > Faculty of Engineering Science > Medical Physics and Bioengineering

Archive Staff Only: edit this record