Theoretical Investigation of Photon Partial Pathlengths in Multilayered Turbid Media

Overview

Journal Biomed Opt Express

Specialty Radiology

Date 2022 May 6

PMID 35519258

Authors

Hector A Garcia

Demian A Vera

Maria V Waks Serra

Guido R Baez

Daniela I Iriarte

Juan A Pomarico

Affiliations

Soon will be listed here.

Abstract

Functional near infrared spectroscopy (fNIRS) is a valuable tool for assessing oxy- and deoxyhemoglobin concentration changes (Δ[HbO] and Δ[HbR], respectively) in the human brain. To this end, photon pathlengths in tissue are needed to convert from light attenuation to Δ[HbO] and Δ[HbR]. Current techniques describe the human head as a homogeneous medium, in which case these pathlengths are easily computed. However, the head is more appropriately described as a layered medium; hence, the partial pathlengths in each layer are required. The current way to do this is by means of Monte Carlo (MC) simulations, which are time-consuming and computationally expensive. In this work, we introduce an approach to theoretically calculate these partial pathlengths, which are computed several times faster than MC simulations. Comparison of our approach with MC simulations show very good agreement. Results also suggest that these analytical expressions give much more specific information about light absorption in each layer than in the homogeneous case.

Citing Articles

Analytical sensitivity factors from distributions of time of flight of photons for near-infrared spectroscopy studies in multilayered turbid media.

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References

Seidel O, Carius D, Roediger J, Rumpf S, Ragert P . Changes in neurovascular coupling during cycling exercise measured by multi-distance fNIRS: a comparison between endurance athletes and physically active controls. Exp Brain Res. 2019; 237(11):2957-2972. PMC: 6794243. DOI: 10.1007/s00221-019-05646-4. View

Patterson M, Chance B, Wilson B . Time resolved reflectance and transmittance for the non-invasive measurement of tissue optical properties. Appl Opt. 2010; 28(12):2331-6. DOI: 10.1364/AO.28.002331. View

Whiteman A, Santosa H, Chen D, Perlman S, Huppert T . Investigation of the sensitivity of functional near-infrared spectroscopy brain imaging to anatomical variations in 5- to 11-year-old children. Neurophotonics. 2017; 5(1):011009. PMC: 5601503. DOI: 10.1117/1.NPh.5.1.011009. View

Arridge S, Cope M, Delpy D . The theoretical basis for the determination of optical pathlengths in tissue: temporal and frequency analysis. Phys Med Biol. 1992; 37(7):1531-60. DOI: 10.1088/0031-9155/37/7/005. View

Huppert T, Diamond S, Franceschini M, Boas D . HomER: a review of time-series analysis methods for near-infrared spectroscopy of the brain. Appl Opt. 2009; 48(10):D280-98. PMC: 2761652. DOI: 10.1364/ao.48.00d280. View

Duncan A, Meek J, Clemence M, Elwell C, Tyszczuk L, Cope M . Optical pathlength measurements on adult head, calf and forearm and the head of the newborn infant using phase resolved optical spectroscopy. Phys Med Biol. 1995; 40(2):295-304. DOI: 10.1088/0031-9155/40/2/007. View

Haskell R, Svaasand L, Tsay T, Feng T, McAdams M, Tromberg B . Boundary conditions for the diffusion equation in radiative transfer. J Opt Soc Am A Opt Image Sci Vis. 1994; 11(10):2727-41. DOI: 10.1364/josaa.11.002727. View

Pinti P, Scholkmann F, Hamilton A, Burgess P, Tachtsidis I . Current Status and Issues Regarding Pre-processing of fNIRS Neuroimaging Data: An Investigation of Diverse Signal Filtering Methods Within a General Linear Model Framework. Front Hum Neurosci. 2019; 12:505. PMC: 6336925. DOI: 10.3389/fnhum.2018.00505. View

Fang Q, Yan S . Graphics processing unit-accelerated mesh-based Monte Carlo photon transport simulations. J Biomed Opt. 2019; 24(11):1-6. PMC: 6863969. DOI: 10.1117/1.JBO.24.11.115002. View

10.

Steinbrink J, Wabnitz H, Obrig H, Villringer A, Rinneberg H . Determining changes in NIR absorption using a layered model of the human head. Phys Med Biol. 2001; 46(3):879-96. DOI: 10.1088/0031-9155/46/3/320. View

11.

Herold F, Wiegel P, Scholkmann F, Thiers A, Hamacher D, Schega L . Functional near-infrared spectroscopy in movement science: a systematic review on cortical activity in postural and walking tasks. Neurophotonics. 2017; 4(4):041403. PMC: 5538329. DOI: 10.1117/1.NPh.4.4.041403. View

12.

Del Bianco S, Martelli F, Zaccanti G . Penetration depth of light re-emitted by a diffusive medium: theoretical and experimental investigation. Phys Med Biol. 2002; 47(23):4131-44. DOI: 10.1088/0031-9155/47/23/301. View

13.

Rahman M, Siddik A, Ghosh T, Khanam F, Ahmad M . A Narrative Review on Clinical Applications of fNIRS. J Digit Imaging. 2020; 33(5):1167-1184. PMC: 7573058. DOI: 10.1007/s10278-020-00387-1. View

14.

Tak S, Ye J . Statistical analysis of fNIRS data: a comprehensive review. Neuroimage. 2013; 85 Pt 1:72-91. DOI: 10.1016/j.neuroimage.2013.06.016. View

15.

Yan S, Fang Q . Hybrid mesh and voxel based Monte Carlo algorithm for accurate and efficient photon transport modeling in complex bio-tissues. Biomed Opt Express. 2020; 11(11):6262-6270. PMC: 7687934. DOI: 10.1364/BOE.409468. View

16.

Rodrigues J, Ribeiro F, Sato J, Mesquita R, Junior C . Identifying individuals using fNIRS-based cortical connectomes. Biomed Opt Express. 2019; 10(6):2889-2897. PMC: 6583329. DOI: 10.1364/BOE.10.002889. View

17.

Boas D, Elwell C, Ferrari M, Taga G . Twenty years of functional near-infrared spectroscopy: introduction for the special issue. Neuroimage. 2013; 85 Pt 1:1-5. DOI: 10.1016/j.neuroimage.2013.11.033. View

18.

Hiraoka M, Firbank M, Essenpreis M, Cope M, Arridge S, van der Zee P . A Monte Carlo investigation of optical pathlength in inhomogeneous tissue and its application to near-infrared spectroscopy. Phys Med Biol. 1993; 38(12):1859-76. DOI: 10.1088/0031-9155/38/12/011. View

19.

Contini D, Martelli F, Zaccanti G . Photon migration through a turbid slab described by a model based on diffusion approximation. I. Theory. Appl Opt. 1997; 36(19):4587-99. DOI: 10.1364/ao.36.004587. View

20.

Okada E, Delpy D . Near-infrared light propagation in an adult head model. II. Effect of superficial tissue thickness on the sensitivity of the near-infrared spectroscopy signal. Appl Opt. 2003; 42(16):2915-22. DOI: 10.1364/ao.42.002915. View