Hybrid simplified spherical harmonics with diffusion equation for light propagation in tissues

Chen, Xueli; Sun, Fangfang; Yang, Defu; Ren, Shenghan; Zhang, Qian; Liang, Jimin

doi:10.1088/0031-9155/60/16/6305

Cited by 14 publications

(28 citation statements)

References 62 publications

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“…At the same time, the reconstructed fluorescent yield is overestimated (0.367). In the authors' previous study, 10 it was observed that the CSDE model can save time (with the value varying with the ratio of high-scattering region to the whole domain) compared with the SP 3 method, which reflects in the construction of system matrixĀ. In this simulation, the time costs of the HSDE-, SP .00 GB RAM.…”

Section: Jbo Lettersmentioning

confidence: 79%

“…Moreover, the CSDE-based reconstruction method takes less time than the SP 3 -based method for constructing the system matrix. 10 The applicability of the CSDE-based reconstruction is also demonstrated with an in vivo liver-cancer-based experiment, which shows its great potential for the detection of in situ liver cancer. A generalized Delta-Eddington phase function deduced by Cong et al 14 can also accurately model the light propagation in tissues over a wide range of optical properties and be less time consuming than the SP N .…”

Section: Jbo Lettersmentioning

confidence: 92%

“…The higher-order approximations of the radiative transfer equation have been used for describing fluorescence propagation, but they suffer from heavy computational burden. 8,9 In the authors' previous study, 10 the coupled third-order simplified spherical harmonics and diffusion equation (CSDE) was developed to describe the light propagation in tissues, which aims to balance the characteristic accuracy with the overall computational burden. In the present study, the CSDE model was extended and applied to the FMT reconstruction and relevant applications for the detection of liver cancer.…”

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confidence: 99%

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Coupled third-order simplified spherical harmonics and diffusion equation–based fluorescence tomographic imaging of liver cancer

et al. 2015

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For fluorescence tomographic imaging of small animals, the liver is usually regarded as a low-scattering tissue and is surrounded by adipose, kidneys, and heart, all of which have a high scattering property. This leads to a breakdown of the diffusion equation (DE)–based reconstruction method as well as a heavy computational burden for the simplified spherical harmonics equation (SP(N)). Coupling the SP(N) and DE provides a perfect balance between the imaging accuracy and computational burden. The coupled third-order SPN and DE (CSDE)-based reconstruction method is developed for fluorescence tomographic imaging. This is achieved by doubly using the CSDE for the excitation and emission processes of the fluorescence propagation. At the same time, the finite-element method and hybrid multilevel regularization strategy are incorporated in inverse reconstruction. The CSDE-based reconstruction method is first demonstrated with a digital mouse-based liver cancer simulation, which reveals superior performance compared with the SPN and DE-based methods. It is more accurate than the DE-based method and has lesser computational burden than the SPN-based method. The feasibility of the proposed approach in applications of in vivo studies is also illustrated with a liver cancer mouse-based in situ experiment, revealing its potential application in whole-body imaging of small animals.

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Section: Jbo Lettersmentioning

confidence: 79%

Section: Jbo Lettersmentioning

confidence: 92%

mentioning

confidence: 99%

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Coupled third-order simplified spherical harmonics and diffusion equation–based fluorescence tomographic imaging of liver cancer

et al. 2015

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“…Therefore, using a single equation or a hybrid equation integrated by wavelength to describe the light propagation in these tissues would not the best option. In our previous studies [32], [33], a fully hybrid model that integrated SP N with DE was developed to accurately and efficiently achieve this task. Since the 3 rd order SP N has the sufficient accuracy and promising efficiency, the SP 3 equation was used to construct the adaptively hybrid 3 rd simplified spherical harmonics with diffusion (AHSD) equation.…”

Section: Methodsmentioning

confidence: 99%

“…Since the 3 rd order SP N has the sufficient accuracy and promising efficiency, the SP 3 equation was used to construct the adaptively hybrid 3 rd simplified spherical harmonics with diffusion (AHSD) equation. The AHSD equation used in this work can be summarized as follows [32], [33]:…”

Section: Methodsmentioning

confidence: 99%

Adaptively Hybrid $3^{\text{rd}}$ Simplified Spherical Harmonics With Diffusion Equation-Based Multispectral Cerenkov Luminescence Tomography

Wang

Cao

et al. 2019

IEEE Access

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Cerenkov luminescence tomography (CLT) can reproduce the location of the tumor inside the body and the physiological processes that are related to its biological behavior, it has thus attracted more attention in the field of imaging technology. The inadequacy of signals that are measured on the body surface might cause ill-posed problems during image reconstruction, thus affecting the quantitative accuracy of CLT. This can be improved using a multispectral strategy by providing more measurements. However, current reconstruction algorithms for multispectral CLT are based on the light transport model that uses a single equation (a diffusion equation or a 3 rd simplified spherical harmonics equation) for each spectrum, which cannot guarantee the accuracy and efficiency of the reconstruction. In order to make full use of the broadspectrum characteristics of Cerenkov luminescence and ensure an accurate and efficient reconstruction, in this work we apply an adaptively hybrid model to the multispectral CLT, that can automatically select the light transport equation. Here, the hybrid model was not only applied to different spectra, but also to different tissues at a certain spectrum. The selection of the light transport equation was accomplished by automatically comparing the index with a predefined threshold. Our proposed method was evaluated with numerical simulations and mouse-based experiments and the results showed the feasibility and effectiveness of the adaptively hybrid model based multispectral CLT.

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Differential photon waves imaging

Kazancı

2020

Int J Imaging Syst Tech

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Imaging philosophy was simulated for well‐known biomedical diffuse optical imaging (DOI) methodology. It runs based on the differential photon waves. The underlying philosophy of imaging methodology takes its origin from the distance of the same molecule types. Inherently, each type of biological molecules has different molecular structure, size, and binding distance. Molecules might be water, oxy‐hemoglobin, deoxyhemoglobin, ATP, pepsin, cholesterol, protein, fats or lipids, hydroxyapatite, carbohydrates, glucose, glycogen, DNA, etc. These molecules need to be grouped for biomedical photon imaging purposes such as in hair, skull, scalp, cortex, dermis, epidermis, cerebrospinal fluid, cerebellar gray and white matter for neuroimaging; or skin, fat, water for breast imaging; optic nerve, humor aqueous for eye imaging; bones and joints for skeletal system imaging; liver, muscle, fibroadenoma breast, mucous tissue, nodule, bowel, heart, kidneys, lung, stomach, whole blood vascular system for inner organs. Among these different types of molecular structures, each type has different characteristic photon absorption and scattering coefficients for corresponding wavelength. Researchers have been using these characteristic wavelengths to reconstruct the images. They have focused on either absorption or scattering maximums of specific wavelengths for each tissue type. This is right when the molecules are investigated first, but it is a dead‐end when it goes deep tissue, since low‐power laser photons scatter randomly when they penetrate inside the tissue, immediately. Novel approach uses phase‐shifted group photon waves corresponding to the molecular distances. Single photon wavelength can be used to investigate the molecules inside the imaging media.

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Hybrid simplified spherical harmonics with diffusion equation for light propagation in tissues

Cited by 14 publications

References 62 publications

Coupled third-order simplified spherical harmonics and diffusion equation–based fluorescence tomographic imaging of liver cancer

Coupled third-order simplified spherical harmonics and diffusion equation–based fluorescence tomographic imaging of liver cancer

Adaptively Hybrid $3^{\text{rd}}$ Simplified Spherical Harmonics With Diffusion Equation-Based Multispectral Cerenkov Luminescence Tomography

Differential photon waves imaging

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