Diffuse optical tomographic imaging of biological media by time-dependent parabolic SPN equations: a two-dimensional study

Domínguez, Jorge Bouza; Bérubé-Lauzière, Yves

doi:10.1117/1.jbo.17.8.086012

Cited by 8 publications

(9 citation statements)

References 61 publications

(102 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this work, a previous study on feasibility of time-domain DOT based on the TD-pSP N equations ( [6]) is extended to three-dimensional media. In addition, TD data is generated mimicking the collection procedure of a multi-view experimental scanner developed in our lab [5].…”

Section: Discussionmentioning

confidence: 99%

“…The explicit expression for the matrices C, T, the matrix operator D r and the source vector Q can be find in [6,7]. After applying the finite element method (FEM) for a spatial discretization and an implicit finite differencing method (FDM) for the time variable, the following FEM-FDM numerical representation of the TD-pSP N equations is obtained [6] ( )…”

Section: The Forward Modelmentioning

confidence: 99%

“…The time-domain parabolic SP N equations can be written in matrix notation in terms of the vector of composite moment functions Φ as [6] ( , ) ( , ) ( , ),…”

Section: The Forward Modelmentioning

confidence: 99%

“…As the forward model, the time-dependent parabolic simplified spherical harmonics equations (TD-pSP N ) are used [7]. In this work we extend the studies presented in [6] to three-dimensional media and full multi-view TPSF data collection, simulating our mentioned experimental system [5]. First, the TD-pSP N equations and the inverse problem are presented.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Three-dimensional diffuse optical tomography with full multi-view time-domain data

Domínguez

Bérubé-Lauzière

2013

SPIE Proceedings

Self Cite

View full text Add to dashboard Cite

In this work, synthetic time-domain data are generated as if it were collected with a state-of-the-art multi-view experimental optical scanner developed in our group for small animal imaging, and used in a tomographic image reconstruction algorithm. The collected data comprises full time-dependent optical signals leaving the biological medium and acquired all around the medium. The diffuse optical tomography (DOT) algorithm relies on the timedependent parabolic simplified spherical harmonics (TD-pSPN) equations as the forward model to recover the 3D absorption and diffusion coefficient maps of the medium. The inverse problem is casted and solved as an iterative constrained optimization problem where an objective function determines the accuracy of the forward model predictions at each iteration. Time-dependent adjoint variables are introduced to accelerate the calculation of the gradient of the objective function. A three-dimensional case involving an absorption heterogeneity in a homogeneous medium is presented, reproducing practical situations encountered in our lab. The results support our hypothesis that accurate quantitative 3D maps of optical properties of biological tissues can be retrieved using intrinsic measurements obtained with our experimental scanner along with our DOT algorithm.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: The Forward Modelmentioning

confidence: 99%

“…The time-domain parabolic SP N equations can be written in matrix notation in terms of the vector of composite moment functions Φ as [6] ( , ) ( , ) ( , ),…”

Section: The Forward Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Three-dimensional diffuse optical tomography with full multi-view time-domain data

Domínguez

Bérubé-Lauzière

2013

SPIE Proceedings

Self Cite

View full text Add to dashboard Cite

show abstract

“…Without being exhaustive, some approaches seek to directly exploit full time point-spread function (TPSF) profiles [4,5]. Others, to reduce the computational burden, resort to so-called measurement types obtained from such profiles (e.g., time-gated integrated intensity (TGII), temporal moments, etc.…”

mentioning

confidence: 99%

Diffuse photon density wavefront speed as a contrast for tomographic imaging of heterogeneous diffusive media

et al. 2014

Self Cite

View full text Add to dashboard Cite

An imaging algorithm is implemented for tomographically reconstructing contrast maps of the space variant speed of diffuse photon density wavefronts (DPDWFs) propagating in biological tissue-like diffusing media. This speed serves as a novel contrast not previously exploited in the literature. The algorithm employs early photon arrival times (EPATs) extracted from a set of time domain measurements. A relationship between EPATs and the speed of DPDWFs is exploited as the forward model. The forward model and its use in an inverse problem are supported by experimental results. These are carried out for 3D media with tissue-like optical properties. The resulting inverse problem is formulated as a set of algebraic equations and solved within a constrained linear least squares framework. The results indicate that the algorithm provides tomographic information on heterogeneities locations and distributions.

show abstract

Differential photon waves imaging

Kazancı

2020

Int J Imaging Syst Tech

View full text Add to dashboard Cite

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.

show abstract

Diffuse optical tomographic imaging of biological media by time-dependent parabolic SPN equations: a two-dimensional study

Cited by 8 publications

References 61 publications

Three-dimensional diffuse optical tomography with full multi-view time-domain data

Three-dimensional diffuse optical tomography with full multi-view time-domain data

Diffuse photon density wavefront speed as a contrast for tomographic imaging of heterogeneous diffusive media

Differential photon waves imaging

Contact Info

Product

Resources

About