Skip to main content
Log in

Monte Carlo simulation of photon migration in multi-component media

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

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)

    Article  ADS  Google Scholar 

  • 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)

    Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  Google Scholar 

  • Giovanelli, R.G.: Reflection by semi-infinite diffusers. J. Mod. Opt. 2, 153–162 (1955)

    MathSciNet  Google Scholar 

  • Jakobsson, A., Nilsson, G.E.: Prediction of sampling depth and photon pathlength in laser Doppler flowmetry. Med. Biol. Eng. Comput. 31, 301–307 (1993)

    Article  MATH  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  MATH  Google Scholar 

  • Li, W., Lin, L., Li, G.: Wavelength selection method based on test analysis of variance: application to oximetry. Anal. Methods 6, 1082–1089 (2014)

    Article  Google Scholar 

  • 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)

    Article  Google Scholar 

  • Meglinsky, I.V., Matcher, S.J.: Modelling the sampling volume for skin blood oxygenation measurements. Med. Biol. Eng. Comput. 39, 44–50 (2001)

    Article  Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • Zhu, C., Liu, Q.: Review of Monte Carlo modeling of light transport in tissue. J. Biomed. Opt. 18, 050902 (2013)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

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).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ling Lin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11082-014-0058-1

Keywords

Navigation