Early- and late-arriving photons in diffuse optical tomography/Früh und spät ankommende Photonen in der diffusen optischen Tomographie

Sergey G. Proskurin; Anton Y. Potlov

doi:10.1515/plm-2013-0003

Article

Early- and late-arriving photons in diffuse optical tomography/Früh und spät ankommende Photonen in der diffusen optischen Tomographie

Sergey G. Proskurin and Anton Y. Potlov

Published/Copyright: April 11, 2013

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From the journal Photonics & Lasers in Medicine Volume 2 Issue 2

Abstract

A method of diffuse optical tomography (DOT) is described for the direct detection of absorbing and scattering inhomogeneities such as cysts, hematoma, or tumors. DOT can also be used to detect small changes in the oxygenation and deoxygenation of blood in designated regions of the heads of neonates, and in breast cancer. In contrast to the early part of time-resolved transmittance of a femtosecond pulse, late-arriving photons are used for this purpose. A 2D numerical simulation is used for quantitative matching of diffuse model curves to experimental data. The finite difference method is used for computer simulation of movements of a cloud of photons from the surface of an object to its center. The 3D representations of the time point spread functions (TPSF) represent a flat surface in a homogeneous case. Lower parts of the surface indicate the presence of inhomogeneities at the corresponding angles.

Zusammenfassung

Es wird ein Verfahren der diffusen optischen Tomographie (DOT) für den direkten Nachweis von absorbierenden und streuenden Inhomogenitäten wie Zysten, Hämatome oder Tumoren beschrieben. Die DOT kann auch verwendet werden, um kleine Änderungen in der Oxygenierung und Desoxygenierung von Blut beispielsweise in bestimmten Schädelregionen von Neugeborenen oder bei Brustkrebs zu detektieren. Im Gegensatz zum frühen Teil der zeitaufgelösten Transmission eines Femtosekundenpulses werden hierfür spät ankommende Photonen betrachtet. Zur quantitativen Anpassung der diffusen Modellkurven an die experimentellen Daten wird eine zweidimensionale numerische Simulation verwendet. Die Finite-Differenzen-Methode wird für die Computersimulation der Bewegungen einer Photonenwolke von der Oberfläche eines Objekts zu dessen Mitte eingesetzt. Die dreidimensionalen Darstellungen der zeitlichen Antwortfunktionen (TPSF) repräsentieren (im homogenen Fall) eine flache Oberfläche. Die unteren Teile der Oberfläche weisen auf das Vorhandensein von Inhomogenitäten bei entsprechenden Winkeln hin.

Keywords: diffuse optical tomography; early-arriving photons; late-arriving photons; numerical simulation; diffusion approximation; diffuse optische Tomographie; früh ankommende Photonen; spät ankommende Photonen; numerische Simulation; Diffusionsapproximation

Corresponding author: Sergey G. Proskurin, Tambov State Technical University, Sovetskaya 106, 392000 Tambov, Russian Federation

This project is supported by the Russian Federation State Grant for Young Scientists (contract 9576p/14219) and Grant of the President of the Russian Federation (SP-4213.2013.4).

References

[1] Farrell TJ, Patterson MS, Wilson B. A diffusion theory model of spatially resolved, steady-state diffuse reflectance for the noninvasive determination of tissue optical properties in vivo. Med Phys 1992; 19(4):879–88.10.1118/1.596777Search in Google Scholar

[2] Müller G, Chance B, Alfano R, Arridge S, Beuthan J, Gratton E, Kaschke M, Masters B, Svanberg S, van der Zee P. Medical optical tomography: functional imaging and monitoring. Vol. IS 11. Bellingham: SPIE press; 1993.Search in Google Scholar

[3] Wang L, Ho PP, Liu C, Zhang G, Alfano RR. Ballistic 2-d imaging through scattering walls using an ultrafast optical kerr gate. Science 1991;253(5021):769–71.10.1126/science.253.5021.769Search in Google Scholar

[4] Firbank M, Hiraoka M, Delpy DT. Development of a stable and reproducible tissue-equivalent phantom for use in infrared spectroscopy and imaging. Proc SPIE 1993;1888:264–70. doi:10.1117/12.154643.10.1117/12.154643Search in Google Scholar

[5] Arridge SR, Hebden JC, Schweiger M, Schmidt FEW, Fry ME, Hillman EMC, Dehghani H, Delpy DT. A method for three-dimensional time-resolved optical tomography. Int J Imag Syst Techn 2000;11(1):2–11.10.1002/(SICI)1098-1098(2000)11:1<2::AID-IMA2>3.0.CO;2-JSearch in Google Scholar

[6] Gibson A, Dehghani H. Diffuse optical imaging. Philos Transact A Math Phys Eng Sci 2009;367(1900):3055–72.10.1098/rsta.2009.0080Search in Google Scholar

[7] Proskurin SG. Using late arriving photons for diffuse optical tomography of biological objects. Quantum Electron 2011;41(5):402–6.10.1070/QE2011v041n05ABEH014597Search in Google Scholar

[8] Hiltunen P, Prince SJ, Arridge S. A combined reconstruction-classification method for diffuse optical tomography. Phys Med Biol 2009;54(21):6457–76.10.1088/0031-9155/54/21/002Search in Google Scholar

[9] Kolehmainen V, Schweiger M, Nissilä I, Tarvainen T, Arridge SR, Kaipio JP. Approximation errors and model reduction in three-dimensional diffuse optical tomography. J Opt Soc Am A Opt Image Sci Vis 2009;26(10):2257–68.10.1364/JOSAA.26.002257Search in Google Scholar

[10] Hasegawa Y, Yamada Y, Tamura M, Nomura Y. Monte Carlo simulation of light transmission through living tissues. Appl Opt 1991;30(31):4515–20.10.1364/AO.30.004515Search in Google Scholar

[11] Zimnyakov DA, Tuchin VV. Optical tomography of tissues. Quantum Electron 2002;32(10):849–67.10.1070/QE2002v032n10ABEH002307Search in Google Scholar

[12] Tret’yakov EV, Shuvalov VV, Shutov IV. Fast approximate statistical nonlinear algorithms for diffusion optical tomography of objects with a complicated internal structure. Quantum Electron 2001;31(12):1095–100.10.1070/QE2001v031n12ABEH002112Search in Google Scholar

[13] Malikov EV, Petnikova VM, Chursin DA, Shuvalov VV, Shutov IV. Spatial resolution and scanning time in the optical tomography of absorbing ‘phantoms’ under multiple scattering conditions. Quantum Electron 2000;30(1):78–80.10.1070/QE2000v030n01ABEH001663Search in Google Scholar

[14] Proskurin SG, Yamada Y, Takahashi Y. Absorption coefficient measurements of strongly scattering media using time-resolved transmittance of a short pulse in near-infrared (NIR) wavelength range. Opt Rev 1995;2(4):292–7.10.1007/s10043-995-0292-7Search in Google Scholar

[15] Proskurin SG, Frolov SV, Potlov AY. Simulation of light scattering in biological tissue. State registration of software – No 2012615093; Moscow, Russian Federation, 2012.Search in Google Scholar

Received: 2013-1-9

Revised: 2013-2-24

Accepted: 2013-3-5

Published Online: 2013-4-11

Published in Print: 2013-5-1

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Articles in the same Issue

https://doi.org/10.1515/plm-2013-0003

Keywords for this article

diffuse optical tomography; early-arriving photons; late-arriving photons; numerical simulation; diffusion approximation; diffuse optische Tomographie; früh ankommende Photonen; spät ankommende Photonen; numerische Simulation; Diffusionsapproximation