The intensity of backscattering of near infrared laser radiation has been calculated for a multilayer biological tissue simulating the human head as a function of the distance between a source and a detector of radiation that are located on the head. The iterative solution of the Bethe–Salpeter equation has been represented as a series in scattering orders. A modification of the known Monte Carlo method for photon transport in multilayer tissues has been proposed to accelerate calculations. It has been shown that the resulting dependences of the backscattering intensity change significantly under the variation of the optical properties of the biological tissue, primarily in the case of penetration of blood to the cerebrospinal fluid layer. This can be used to develop optical methods for diagnosis of traumatic injuries of biological tissues.
REFERENCES
V. V. Tuchin, Tissue Optics: Light Scattering Methods and Instruments for Medical Diagnostics (IPR Media, Moscow, 2021; SPIE, Bellingham, 2015).
S. L. Jacques, Phys. Med. Biol. 58, R37 (2013).
D. J. Davies, Z. Su, M. T. Clancy, S. J. Lucas, H. Dehghani, A. Logan, and A. Belli, J. Neurotrauma 32, 933 (2015).
A. Sabeeh and V. V. Tuchin, J. Biomed. Photon. Eng. 6, 040201 (2020).
A. P. Tran, S. Yan, and Q. Fang, Neurophotonics 7, 015008 (2020).
R. Francis, B. Khan, G. Alexandrakis, J. Florence, and D. MacFarlane, Biomed. Opt. Express 6, 3256 (2015).
E. S. Papazoglou, M. S. Weingarten, L. Zubkov, M. Neidrauer, L. Zhu, S. Tyagi, and K. Pourrezaei, J. Biomed. Opt. 13, 044005 (2008).
E. S. Papazoglou, M. T. Neidrauer, L. Zubkov, M. S. Weingarten, and K. Pourrezaei, J. Biomed. Opt. 14, 064032 (2009).
E. Zinchenko, N. Navolokin, A. Shirokov, et al., Biomed. Opt. Express 10, 4003 (2019).
F. Scholkmann, S. Kleiser, A. J. Metz, R. Zimmermann, J. Mata Pavia, U. Wolf, and M. Wolf, Neuroimage 85, 6 (2014).
H. Liu, D. A. Boas, Y. Zhang, A. G. Yodh, and B. Chan-ce, Phys. Med. Biol. 40, 1983 (1995).
O. Pucci, V. Toronov, and K. St. Lawrence, Appl. Opt. 49, 6324 (2010).
V. L. Kuzmin, Yu. A. Zhavoronkov, S. V. Ul’yanov, and A. Yu. Valkov, J. Exp. Theor. Phys. 134, 661 (2022).
J. Zhao, H. S. Ding, X. L. Hou, C. L. Zhou, and B. Chance, J. Biomed. Opt. 10, 024028 (2005).
V. Ntziachristos and B. Chance, Med. Phys. 28, 1115 (2001).
A. Torricelli, D. Contini, A. Pifferi, M. Caffini, R. Re, L. Zucchelli, and L. Spinelli, Neuroimage 85, 28 (2014).
H. Wabnitz, J. Rodriguez, I. Yaroslavsky, A. Yaroslavsky, and V. V. Tuchin, in Handbook of Optical Biomedical Diagnostics. Light-Tissue Interaction, 2nd ed. (SPIE Press, Bellingham, Washington, 2016), Vol. 1, p. 401.
T. Durduran, R. Choe, J. P. Culver, L. Zubkov, M. J. Holboke, J. Giammarco, B. Chance, and A. G. Yodh, Phys. Med. Biol. 47, 2847 (2002).
M. A. Franceschini, S. Thaker, G. Themelis, K. K. Krishnamoorthy, H. Bortfeld, S. G. Diamond, D. A. Boas, K. Arvin, and P. E. Grant, Pediatr. Res. 61, 546 (2007).
S. Mahmoodkalayeh, M. A. Ansari, and V. V. Tuchin, Biomed. Opt. Express 10, 2795 (2019).
M. S. Cano-Velázquez, N. Davoodzadeh, D. Halaney, C. R. Jonak, D. K. Binder, J. Hernández-Cordero, and G. Aguilar, Biomed. Opt. Express 10, 3369 (2019).
V. L. Kuz’min, A. Yu. Val’kov, and L. A. Zubkov, J. Exp. Theor. Phys. 128, 396 (2019).
V. L. Kuzmin, V. P. Romanov, and E. V. Aksenova, Phys. Rev. E 65, 016601 (2001).
T. M. Nieuwenhuizen and J. M. Luck, Phys. Rev. E 48, 569 (1993).
V. L. Kuzmin, M. T. Neidrauer, D. Diaz, and L. A. Zubkov, J. Biomed. Opt. 20, 105006 (2015).
L. Wang, S. L. Jacques, and L. Q. Zheng, Comput. Meth. Prog. Biol. 47, 131 (1995).
A. N. Bashkatov, E. A. Genina, V. I. Kochubey, and V. V. Tuchin, Proc. SPIE 6163, 616310 (2006).
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This work was supported by the Russian Science Foundation, project no. 23-22-00035, https://rscf.ru/project/23-22-00035/.
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Zhavoronkov, Y.A., Ul’yanov, S.V., Valkov, A.Y. et al. Backscattering of Infrared Radiation by a Model Multilayer Biological Tissue. Jetp Lett. 117, 392–399 (2023). https://doi.org/10.1134/S0021364023600180
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DOI: https://doi.org/10.1134/S0021364023600180