Light Propagation through Biological Tissue and Other Diffusive Media:  Theory, Solutions, and Software

Martelli, Fabrizio; Bianco, Samuele Del; Ismaelli, Andrea; Zaccanti, Giovanni

doi:10.1117/3.824746

Cited by 232 publications

(371 citation statements)

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“…It is worth noting that f(z|ρ, t) depends on µ′ s and that this dependence will always be present in all subsequently derived formulas. Instead, thanks to the general properties of the RTE 41,42 , for a homogeneous medium the dependence on μ a vanishes.…”

Section: Theorymentioning

confidence: 99%

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Structural white-matter connections mediating distinct behavioral components of spatial neglect in right brain-damaged patients

Vaessen

Saj̈

Lövblad

et al. 2016

Cortex

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We propose a comprehensive statistical approach describing the penetration depth of light in random media. The presented theory exploits the concept of probability density function f(z|ρ, t) for the maximum depth reached by the photons that are eventually re-emitted from the surface of the medium at distance ρ and time t. Analytical formulas for f, for the mean maximum depth 〈z max 〉 and for the mean average depth z reached by the detected photons at the surface of a diffusive slab are derived within the framework of the diffusion approximation to the radiative transfer equation, both in the time domain and the continuous wave domain. Validation of the theory by means of comparisons with Monte Carlo simulations is also presented. The results are of interest for many research fields such as biomedical optics, advanced microscopy and disordered photonics.

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Section: Theorymentioning

confidence: 99%

“…The DE provides a wide set of approximate analytical solutions of the RTE for various geometries 41,42 . We consider in this section the analytical solutions of the DE for an infinite slab and for this geometry we calculate…”

Section: Theorymentioning

confidence: 99%

Structural white-matter connections mediating distinct behavioral components of spatial neglect in right brain-damaged patients

Vaessen

Saj̈

Lövblad

et al. 2016

Cortex

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“…To validate all the findings discussed in section 6, Monte Carlo simulations have been performed using the code provided by UNIFI (see affiliation list) based on the microscopic BeerLambert method [42,43]. A 3-layer laterally-infinite medium was simulated using two combinations of reduced scattering and thicknesses (Table 2).…”

Section: Validation By Simulationsmentioning

confidence: 99%

In-vivo multilaboratory investigation of the optical properties of the human head

Farina¹,

Torricelli²,

Bargigia³

et al. 2015

Biomed. Opt. Express

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Abstract:The in-vivo optical properties of the human head are investigated in the 600-1100 nm range on different subjects using continuous wave and time domain diffuse optical spectroscopy. The work was performed in collaboration with different research groups and the different techniques were applied to the same subject. Data analysis was carried out using homogeneous and layered models and final results were also confirmed by Monte Carlo simulations. The depth sensitivity of each technique was investigated and related to the probed region of the cerebral tissue. This work, based on different validated instruments, is a contribution to fill the existing gap between the present knowledge and the actual in-vivo values of the head optical properties.

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“…5b indicated that in the target with a large l a , the light propagation was different from diffusion, and it became difficult for PDE to approximate the light propagation precisely. The error caused by PDE with a homogeneous medium having large l a was discussed previously [41]. It was reported that U calculated with PDE became larger than that with MC simulation as l a increased.…”

Section: Effects Of the Approximations On The Absorbed Light Energymentioning

confidence: 92%

“…H targ (3D PDE, 1 mm) was 67% of H targ (MC, 1 mm). PDE approximates the light propagation well when the light is scattered several times, and scattering randomizes the directions of light propagation [41]. Therefore, PDE did not approximate the MC simulation in the position close to the illuminating position where the laser light conserved the directionality.…”

Section: Effects Of the Approximations On The Absorbed Light Energymentioning

confidence: 99%

Effects of the approximations of light propagation on quantitative photoacoustic tomography using two-dimensional photon diffusion equation and linearization

Okawa

Hirasawa

Kubota

et al. 2017

Opt Rev

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Quantitative photoacoustic tomography (QPAT) employing a light propagation model will play an important role in medical diagnoses by quantifying the concentration of hemoglobin or a contrast agent. However, QPAT by the light propagation model with the three-dimensional (3D) radiative transfer equation (RTE) requires a huge computational load in the iterative forward calculations involved in the updating process to reconstruct the absorption coefficient. The approximations of the light propagation improve the efficiency of the image reconstruction for the QPAT. In this study, we compared the 3D/ two-dimensional (2D) photon diffusion equation (PDE) approximating 3D RTE with the Monte Carlo simulation based on 3D RTE. Then, the errors in a 2D PDE-based linearized image reconstruction caused by the approximations were quantitatively demonstrated and discussed in the numerical simulations. It was clearly observed that the approximations affected the reconstructed absorption coefficient. The 2D PDE-based linearized algorithm succeeded in the image reconstruction of the region with a large absorption coefficient in the 3D phantom. The value reconstructed in the phantom experiment agreed with that in the numerical simulation, so that it was validated that the numerical simulation of the image reconstruction predicted the relationship between the true absorption coefficient of the target in the 3D medium and the reconstructed value with the 2D PDE-based linearized algorithm. Moreover, the the true absorption coefficient in 3D medium was estimated from the 2D reconstructed image on the basis of the prediction by the numerical simulation. The estimation was successful in the phantom experiment, although some limitations were revealed.

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Light Propagation through Biological Tissue and Other Diffusive Media: Theory, Solutions, and Software

Cited by 232 publications

References 0 publications

Structural white-matter connections mediating distinct behavioral components of spatial neglect in right brain-damaged patients

Structural white-matter connections mediating distinct behavioral components of spatial neglect in right brain-damaged patients

In-vivo multilaboratory investigation of the optical properties of the human head

Effects of the approximations of light propagation on quantitative photoacoustic tomography using two-dimensional photon diffusion equation and linearization

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