Abstract

Fabricated tissue phantoms are instrumental in optical in-vitro investigations concerning cancer diagnosis, therapeutic applications, and drug efficacy tests. We present a simple non-invasive computational technique that, when coupled with experiments, has the potential for characterization of a wide range of biological tissues. The fundamental idea of our approach is to find a supervised learner that links the scattering pattern of a turbid sample to its thickness and scattering parameters. Once found, this supervised learner is employed in an inverse optimization problem for estimating the scattering parameters of a sample given its thickness and scattering pattern. Multi-response Gaussian processes are used for the supervised learning task and a simple setup is introduced to obtain the scattering pattern of a tissue sample. To increase the predictive power of the supervised learner, the scattering patterns are filtered, enriched by a regressor, and finally characterized with two parameters, namely, transmitted power and scaled Gaussian width. We computationally illustrate that our approach achieves errors of roughly 5% in predicting the scattering properties of many biological tissues. Our method has the potential to facilitate the characterization of tissues and fabrication of phantoms used for diagnostic and therapeutic purposes over a wide range of optical spectrum.

Highlights

  • In both SFDI and FDPM methods, the diffusion equation is used to approximate the Boltzmann transport equation

  • In our simulations with Zemax, rigorous Monte-Carlo simulations were conducted for higher accuracy and the turbid media were simulated with the built-in Henyey-Greenstein model[28]

  • We have introduced a non-invasive method for computational characterization of the scattering parameters of a medium

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Summary

Introduction

In both SFDI and FDPM methods, the diffusion equation is used to approximate the Boltzmann transport equation. As for FDPM technique, a network analyzer is required to modulate the current of the LED and to detect the diffused reflectance of the temporally modulated beam These instruments render the setup complex and costly. These methods are incapable of measuring the anisotropy coefficient of the sample, g , which is an important parameter for characterizing turbid media[16,17,18]. Where the optical properties of the turbid medium depend on both g (that characterizes the angular profile of scattering) as well as the scattering length, sl, the average distance over which the scattering occurs Among these techniques, IAD is the most popular one due to its relatively higher accuracy and simpler experimental setup. A similar argument holds for the distance between the polarizer and the sample because the un-scattered light is collimated

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