Abstract
Although many researchers have attempted to determine the absolute value of tissue oxygenation using near infrared spectroscopy (NIRS): time-resolved spectroscopy, spatially resolved spectroscopy (SRS), phase-modulated spectroscopy, and continuous-wave spectroscopy (CWS), correction methods are still necessary for quantitative measurement. Overlying tissues, such as skulls and subcutaneous adipose tissues, can greatly affect the measurement sensitivity and accuracy. Therefore, analysis of photon migration is important in obtaining accurate absolute measurements. Several researchers have derived equations for the temporal and spatial dependence of diffusely reflected light in a turbid medium. Analytical solutions of diffusion theory are widely used to quantify the optical properties of homogeneous media. Propagation in a two-layered medium using a diffusion theory and Monte Carlo methods are frequently used to simulate photon migration. Various models are also used to simulate actual tissue structure.
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Chandraseklar S (1960) Radiative transfer. Dover, New York
Ishimaru A (1978) Diffusion of a pulse in densely distributed scatterers. J Opt Soc Am 68:1045–1050
Takatani S, Graham MD (1979) Theoretical analysis of diffuse reflectance from a two-layer tissue model. IEEE Trans Biomed Eng BME26:656–664
Patterson MS, Chance B, Wilson BC (1989) Time-resolved reflectance and transmittance for the noninvasive measurement of tissue optical properties. Appl Opt 28:2331–2336
Dayan I, Havlin S, Weiss GH (1992) Photon migration in a two-layer turbid media: a diffusion analysis. J Mod Opt 39:1567–1582
Farrell TJ, Patterson MS (1992) A diffusion theory model of spatially resolved, steady-state diffuse reflectance for the noninvasive determination of tissue optical properties in vivo. Med Phys 19:879–888
Haskell RC, Svaasand LO, Tsay TT, Feng TC, McAdams M, Tromberg BJ (1994) Boundary conditions for the diffusion equation in radiative transfer. J Opt Soc Am A 11:2727–2741
Kienle A, Patterson MS, Dögnitz N, Bays R, Wagnières G, van den Bergh H (1998) Noninvasive determination of the optical properties of two-layered turbid media. Appl Opt 37:779–791
Wilson BC, Adam G (1983) A Monte Carlo model for the absorption and flux distributions of light in tissue. Med Phys 10:824–830
van der Zee P, Delpy DT (1987) Simulation of the point spread function for light in tissue by a Monte Carlo method. Adv Exp Med Biol 215:179–191
Okada E, Firbank M, Delpy DT (1995) The effect of overlying tissue on the spatial sensitivity profile of near-infrared spectroscopy. Phys Med Biol 40:2093–2108
Wang L, Jacques S, Zheng L (1995) MCML—Monte Carlo modeling of light transport in multi-layered tissues. Comput Methods Programs Biomed 47(2):131–146
Yamamoto K, Niwayama M, Shiga T, Lin L, Kudo N, Takahashi M (1998) Accurate NIRS measurement of muscle oxygenation by correcting the influence of a subcutaneous fat layer. Proc SPIE 3194:166–173
Niwayama M, Lin L, Shao J, Kudo N, Yamamoto K (2000) Quantitative measurement of muscle hemoglobin oxygenation using near-infrared spectroscopy with correction for the influence of a subcutaneous fat layer. Rev Sci Instrum 71(12):4571–4575
Fang Q, Boas DA (2009) Monte Carlo simulation of photon migration in 3D turbid media accelerated by graphics processing units. Opt Express 17:20178–20190
Alerstam E, Svensson T, Andersson-Engels S (2008) Parallel computing with graphics processing units for high-speed Monte Carlo simulation of photon migration. J Biomed Opt 13:060504
Arridge SR, Schweiger M, Hiraoka M, Delpy DT (1993) A finite-element approach for modeling photon transport in tissue. Med Phys 20:299–309
Bonner R, Nossal R, Havlin S, Weiss H (1987) Model for photon migration in turbid biological media. J Opt Soc Am A 4:423–432
Nossal R, Kiefer J, Weiss GH, Bonner R, Taitelbaum H, Havlin S (1988) Photon migration in layered media. Appl Opt 27:3382–3391
Taitelbaum H, Havlin S, Weiss GH (1989) Approximate theory of photon migration in a two-layer medium. Appl Opt 28:2245–2249
Wan S, Anderson RR, Parrish JA (1981) Analytical modeling for the optical properties of skin with in vitro and in vivo applications. Photochem Photobiol 34:493–499
Beek JF, van Staveren HJ, Posthumus P, Sterenborg HJ, van Gemert MJ (1993) The influence of respiration on optical properties of piglet lung at 632.8 nm. In: Medical optical tomography. SPIE Optical Engineering Press, Bellingham, pp 193–210
Mitic G, Közer J, Otto J, Plies E, Sökner G, Zinth W (1994) Time-gated transillumination of biological tissues and tissuelike phantoms. Appl Opt 33:6699–6710
Zaccanti G, Taddeucci A, Barilli M, Bruscaglioni P, Martelli F (1995) Optical properties of biological tissues. Proc SPIE 2389:513–521
Wang ZY, Noyszewski EA, Leigh JS Jr (1990) In vivo MRS measurement of deoxymyoglobin in human forearms. Magn Reson Med 14:562–567
Harris RC, Hultman E, Kaijser L, Nordesjö LO (1975) The effect of circulatory occlusion on isometric exercise capacity and energy metabolism of the quadriceps muscle in man. Scand J Clin Lab Invest 35:87–95
Ueda Y, Ohta K, Yamashita Y, Tsuchiya Y (2003) Calculation of photon path distribution based on photon behavior analysis in a scattering medium. Opt Rev 10:444–446
Niwayama M, Sone S, Murata H, Yoshida H, Shinohara S (2007) Errors in muscle oxygenation measurement using spatially-resolved NIRS and its correction. J Jpn Coll Angiol 47:17–20
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Appendices
Problem
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2.1
A random number used on Monte Carlo simulation should be long period and of almost uniform distribution. How can this random number be generated?
Further Reading
Matsumoto M, Nishimura T (1998) Mersenne twister: a 623-dimensionally equidistributed uniform pseudorandom number generator. ACM Trans Model Comp Sim 8(1):3–30
Panneton F, L’Ecuyer P, Matsumoto M (2006) Improved long-period generators based on linear recurrences modulo 2. ACM Trans Math Softw 32:1–16
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Niwayama, M., Yamashita, Y. (2013). Photon Migration in Tissue. In: Jue, T., Masuda, K. (eds) Application of Near Infrared Spectroscopy in Biomedicine. Handbook of Modern Biophysics, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-6252-1_2
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