Abstract
A Monte Carlo model of steady-state light transport in multi-layered tissues had been compiled in C language so that it could be applied on various computers easily. In the standard model of photon transport in a semi-infinite geometry, only a group of optical parameters are employed (the absorption coefficient, the scattering coefficient and the anisotropy factor). In order to properly simulate the multi-component media, we proposed a modified model in which we gave each component a weight based on its percentage composition in every layer of tissue or complex solution, while the MCML model [Monte Carlo model of light transport in multi-layered tissues by Wang et al. (Comput Meth Prog Biol 47:131–146, 1995)] cannot directly simulate the photon migration in multi-component media. The computational results using the modified model have been validated by existing analytical methods and the experiment. We have adopted the partial least-squares regression to measure the inner component’s percentage of the model solution of biological tissue, the percentage errors of both the calibration and prediction were \(>\)1 %. It has been proven that the modified model is able to effectively simulate the multi-component media. It also has a potential advantage to be a valid method for relevant applications in biomedical optics.
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References
Alerstam, E., Svensson, T., Andersson-Engels, S.: Parallel computing with graphics processing units for high-speed Monte Carlo simulation of photon migration. J. Biomed. Opt. 13(6), 060504 (2008)
Antonelli, M.R., Pierangelo, A., Novikova, T., Validire, P., Benali, A., Gayet, B., Martino, A.: Mueller matrix imaging of human colon tissue for cancer diagnostics: how Monte Carlo modeling can help in the interpretation of experimental data. Opt. Express. 18, 10200–10208 (2010)
Böcklin, C., Baumann, D., Stuker, F., Klohs, J., Rudin, M.: ’Reconstructing optical parameters from double-integrating-sphere measurements using a genetic algorithm. In: Proceedings of the SPIE 8583. Design and Performance Validation of Phantoms Used in Conjunction with Optical Measurement of Tissue V, 858304 (February 28, 2013)
Djuuna, I.A.F., Abbott, L., Russell, C.: Determination and prediction of some soil properties using partial least square (PLS) calibration and mid-infra-red (MIR) spectroscopy analysis. J. Trop. Soils 16, 93–98 (2011)
Doronin, A., Meglinski, I.: Online object oriented Monte Carlo computational tool for the needs of biomedical optics. Biomed. Opt. Express. 2(9), 2461–2469 (2011)
Doronin, A., Meglinski, I.: Peer-to-peer Monte Carlo simulation of photon migration in topical applications of biomedical optics. J. Biomed. Opt. 17, 0905041–0905043 (2012)
Fang, Q., Boas, D.: Monte Carlo simulation of photon migration in 3D turbid media accelerated by graphics processing units. Opt. Express. 17, 20178–20180 (2009)
Gebhart, S.C., Lin, W.C., Mahadevan-Jansen, A.: In vitro determination of normal and neoplastic human brain tissue optical properties using inverse adding-doubling. Phys. Med. Biol. 51, 2011 (2006)
Giovanelli, R.G.: Reflection by semi-infinite diffusers. J. Mod. Opt. 2, 153–162 (1955)
Jakobsson, A., Nilsson, G.E.: Prediction of sampling depth and photon pathlength in laser Doppler flowmetry. Med. Biol. Eng. Comput. 31, 301–307 (1993)
Katz, G.E., Berkowitz, B., Guadagnini, A., Saaltink, M.W.: Experimental and modeling investigation of multicomponent reactive transport in porous media. J. Contam. Hydrol. 120, 27–44 (2011)
Kirillin, MYu., Shirmanova, M.V., Sirotkina, M.A., Bugrova, M.L., Khlebtsov, B.N., Zagaynova, E.V.: Contrasting properties of gold nanoshells and titanium dioxide nanoparticles for OCT imaging of skin: Monte Carlo simulations and in vivo study. J. Biomed. Opt. 14, 021017 (2009)
Li, W., Lin, L., Li, G.: Wavelength selection method based on test analysis of variance: application to oximetry. Anal. Methods 6, 1082–1089 (2014)
Madsen, S.J., Patterson, M.S., Wilson, B.C.: The use of India ink as an optical absorber in tissue-simulating phantoms. Phys. Med. Biol. 37, 985–990 (2000)
Meglinsky, I.V., Matcher, S.J.: Modelling the sampling volume for skin blood oxygenation measurements. Med. Biol. Eng. Comput. 39, 44–50 (2001)
Petrov, G.I., Doronin, A., Whelan, H.T., Meglinski, I., Yakovlev, V.V.: Human tissue color as viewed in high dynamic range optical spectral transmission measurements. Biomed. Opt. Express 3, 2154–2158 (2012)
Popov, A.P., Lademann, J., Priezzhev, A.V., Myllylä, R.: Effect of size of TiO2 nanoparticles embedded into stratum corneum on ultraviolet-A and ultraviolet-B sun-blocking properties of the skin. J. Biomed Opt. 10, 064037 (2005)
Prahl, S.: The adding-doubling method. In: Welch, A., van Gemert, M. (eds.) Optical-Thermal Response of Laser Irradiate Tissue, Chap. 5, pp. 101–125. Plenum (1995)
Prahl, S.A., van Gemert, M.J.C., Welch, A.J.: Determining the optical properties of turbid media by using the adding-doubling method. Appl. Opt. 32, 559–568 (1993)
Tanabe, S., Muraoka, Y., Tomita, Y.: New method using multi-regression analysis on evoked electromyography during movement to adjust stimulation conditions. Med. Biol. Eng. Comput. 42, 106–109 (2004)
van de Hulst, H.: Light Scattering: By Small Particles. Courier Dover Publications, New York (1957)
Van Staveren, H.J., Moes, C.J., Van Marle, J., Prahl, S.A., Van Gemert, M.J.: Light scattering in Intralipid-10% in the wavelength range of 400–1100nm. Appl. Opt. 30, 4507–4514 (1991)
Wang, L., Jacques, S., Zheng, L.: MCML—Monte Carlo modeling of light transport in multi-layered tissues. Comput. Meth. Prog. Biol. 47, 131–146 (1995)
Wang, L., Jacques, S., Zheng, L.: CONV—convolution for responses to a finite diameter photon beam incident on multi-layered tissues. Comput. Meth. Prog. Biol. 54, 141–150 (1997)
Yun, T., Zeng, N., Li, W., Li, D., Jiang, X., Ma, H.: Monte Carlo simulation of polarized photon scattering in anisotropic media. Opt. Express 17(19), 16590–16602 (2009)
Zhu, C., Liu, Q.: Review of Monte Carlo modeling of light transport in tissue. J. Biomed. Opt. 18, 050902 (2013)
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This research was supported in part by the State Key Laboratory of Precision Measurement Technology and Instruments (Tianjin University) under the National Natural Science Foundation of China (No. 30973964) and Tianjin science and technology commission Program (No. 14JCZDJC33100).
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Li, W., Lin, L., Bao, L. et al. Monte Carlo simulation of photon migration in multi-component media. Opt Quant Electron 47, 1919–1931 (2015). https://doi.org/10.1007/s11082-014-0058-1
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DOI: https://doi.org/10.1007/s11082-014-0058-1