Abstract
Based on an independent forward model in fluorescent tomography, a parallel reconstructed scheme for inhomogeneous mediums with unknown absorption property is proposed in this paper. The method considers the two diffusion equations as separately describing the propagation of excited light in tissues with and without fluorescent probes inside. Then the concentration of fluorophores is obtained directly through the difference between two estimations of absorption coefficient which can be parallel inversed. In this way, the multiparameter estimation problem in fluorescent tomography is transformed into two independent single-coefficient determined schemes of diffusion optical tomography (DOT). Any algorithms proved to be efficient and effective in DOT can be directly applied here. In this study the absorption property is estimated from the independent diffusion equations by a gradient-based optimization method with finite element method (FEM) solving the forward model. Simulation results of three representative occasions show that the reconstructed method can well estimate fluorescent property and tissue absorption distribution.
Highlights
The mighty advance in biocompatible, specific fluorescent probes, combining with progress in photonic technology and methodology of modeling photon propagation, greatly promoted the development of fluorescence tomography in recent years
Always fluorescent beacons emitting in the near infrared (NIR) bandwidth are preferred, since in this spectral window hemoglobin and water absorb minimally so as to allow photons to penetrate for several centimeters in tissues
In continuous wave (CW) mode, the following coupled diffusion equations are always employed to describe the propagation of both excitation and fluorescent emission light in diffusive medium [3,4,5]: Ö Ö Dx(r) Φx(r) μax (r) + μaf (r) Φx(r) = Θsδ r rsk, (1a)
Summary
The mighty advance in biocompatible, specific fluorescent probes, combining with progress in photonic technology and methodology of modeling photon propagation, greatly promoted the development of fluorescence tomography in recent years. The absorption of excite light due to fluorophores is described as μaf (r) and the fluorescent yield ημa f (r) is the required fluorescence parameter Based on this model, several simulations with 3-dimensional and 2-dimensional geometries have been done using inversion approaches such as Born approximation employing Green’s function [6, 7], Newton’s or Newton-type optimization methods [3, 4] and disturbed method [8]. Several simulations with 3-dimensional and 2-dimensional geometries have been done using inversion approaches such as Born approximation employing Green’s function [6, 7], Newton’s or Newton-type optimization methods [3, 4] and disturbed method [8] These studies only deal with reconstruction of fluorescence properties in homogeneous mediums or under the assumption of known background optical properties. As the two inversion parts must be executed serially, the total reconstruction process is very time consuming
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