Method and device for transmitting photons in turbid medium

Abstract

The invention relates to a method and a device for transmitting photons in a turbid medium. The method comprises the following steps: arranging a plurality of discrete field nodes in the turbid medium, and solving a movable least square shape function on each field node in the turbid medium; correcting the movable least square shape function by a full transformation method to make the movable least square shape function have the property of a Dirac function; and performing interpolation by using the corrected least square shape function to acquire similar luminous flux density of the turbid medium, acquiring a diffusion equation and a weak form of a third boundary condition by a Galerkin method, acquiring and solving a matrix equation, acquiring the luminous flux density on the field node in the turbid medium, and further acquiring the luminous flux density of any point in the turbid medium by an interpolation method. The method and the device only arrange the field nodes, and do not need any field node connecting information and unit information so as to avoid a complex grid subdivision process; and by correcting the movable least square similar shape function, the shape function has the property of the Dirac function, and any boundary condition can be directly added.

Description

technical field [0001] The invention belongs to the field of molecular images, and relates to a photon transmission method in a turbid medium, in particular to a photon transmission method based on modified gridless Galerkin. Background technique [0002] Optical molecular imaging is an emerging molecular imaging modality in recent years. Optical molecular imaging mainly includes autofluorescence and excited fluorescence. Autofluorescence is the use of luciferase to mark the target in the turbid medium. In the presence of ATP and oxygen, if the luciferase encounters the substrate luciferin, the luciferase will catalyze the oxidation reaction of luciferin and generate photons to generate light. The strength of is proportional to the number of marked targets. Excited fluorescence technology uses a fluorescent reporter group to mark the target. The fluorescent reporter group absorbs the photons emitted by the external excitation light source into the turbid medium, generates e...

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Problems solved by technology

[0004] In order to solve the grid subdivision difficulties in the finite element analysis of photon transmission, the purpose of the present invention is to solve the transmission of photons in heterogeneous and complex turbid media based on the modified gridless Galerkin method. In addition, in order to solve the existing gridless The lattice method cannot directly and accurately apply the third type of boundary conditions. The present invention modifies the moving least squares approximation shape function, so that the shape function has the property of Dirac function, and can directly and accurately apply any boundary conditions.

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