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Finite Element Modeling for Fluorescence Molecular Tomography

Received: 25 October 2021     Accepted: 23 November 2021     Published: 24 November 2021
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Abstract

Non-contact Fluorescence Molecular Tomography (FMT) and Bioluminescence Tomography (BLT) has attracted more and more attention due to its unique advantages. For real experiments, how to obtain the 3D model of an object and the surface fluorescence distribution is one of the main obstacles. In this paper, an effective method to obtain the Finite Element Model is presented. We discuss the geometric and mathematical principles in detail. We prove that the FEM model generated by the method has enough quality for reconstruction. We demonstrate the quality of the model through a series of examples. This method can realize the whole process only by using a single-mode optical system. Firstly, a series of white light and fluorescence images are collected along the object in white light flat field illumination mode and excitation fluorescence mode respectively. The white light illumination images are used to reconstruct the 3D model contour of the object. After voxelization with appropriate resolution, we use the Delaunay algorithm to divide the model into tetrahedral finite elements. For the fluorescence image, we proposed a method based on vertex normal vector to realize the photon flux density mapping from 2D fluorescence image to 3D Finite Element Method (FEM) mesh nodes of the surface. The experimental results prove the accuracy of the model and the mapping, and the FEM obtained can meet the needs of FMT/ BLT reconstruction.

Published in American Journal of Biomedical and Life Sciences (Volume 9, Issue 6)
DOI 10.11648/j.ajbls.20210906.17
Page(s) 307-314
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2021. Published by Science Publishing Group

Keywords

FMT, BLT, 3D Modeling, FEM

References
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Cite This Article
  • APA Style

    Zhaolu Zuo, Shaobin Dou, Deyi Kong, Kai Wu. (2021). Finite Element Modeling for Fluorescence Molecular Tomography. American Journal of Biomedical and Life Sciences, 9(6), 307-314. https://doi.org/10.11648/j.ajbls.20210906.17

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    ACS Style

    Zhaolu Zuo; Shaobin Dou; Deyi Kong; Kai Wu. Finite Element Modeling for Fluorescence Molecular Tomography. Am. J. Biomed. Life Sci. 2021, 9(6), 307-314. doi: 10.11648/j.ajbls.20210906.17

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    AMA Style

    Zhaolu Zuo, Shaobin Dou, Deyi Kong, Kai Wu. Finite Element Modeling for Fluorescence Molecular Tomography. Am J Biomed Life Sci. 2021;9(6):307-314. doi: 10.11648/j.ajbls.20210906.17

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  • @article{10.11648/j.ajbls.20210906.17,
      author = {Zhaolu Zuo and Shaobin Dou and Deyi Kong and Kai Wu},
      title = {Finite Element Modeling for Fluorescence Molecular Tomography},
      journal = {American Journal of Biomedical and Life Sciences},
      volume = {9},
      number = {6},
      pages = {307-314},
      doi = {10.11648/j.ajbls.20210906.17},
      url = {https://doi.org/10.11648/j.ajbls.20210906.17},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajbls.20210906.17},
      abstract = {Non-contact Fluorescence Molecular Tomography (FMT) and Bioluminescence Tomography (BLT) has attracted more and more attention due to its unique advantages. For real experiments, how to obtain the 3D model of an object and the surface fluorescence distribution is one of the main obstacles. In this paper, an effective method to obtain the Finite Element Model is presented. We discuss the geometric and mathematical principles in detail. We prove that the FEM model generated by the method has enough quality for reconstruction. We demonstrate the quality of the model through a series of examples. This method can realize the whole process only by using a single-mode optical system. Firstly, a series of white light and fluorescence images are collected along the object in white light flat field illumination mode and excitation fluorescence mode respectively. The white light illumination images are used to reconstruct the 3D model contour of the object. After voxelization with appropriate resolution, we use the Delaunay algorithm to divide the model into tetrahedral finite elements. For the fluorescence image, we proposed a method based on vertex normal vector to realize the photon flux density mapping from 2D fluorescence image to 3D Finite Element Method (FEM) mesh nodes of the surface. The experimental results prove the accuracy of the model and the mapping, and the FEM obtained can meet the needs of FMT/ BLT reconstruction.},
     year = {2021}
    }
    

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  • TY  - JOUR
    T1  - Finite Element Modeling for Fluorescence Molecular Tomography
    AU  - Zhaolu Zuo
    AU  - Shaobin Dou
    AU  - Deyi Kong
    AU  - Kai Wu
    Y1  - 2021/11/24
    PY  - 2021
    N1  - https://doi.org/10.11648/j.ajbls.20210906.17
    DO  - 10.11648/j.ajbls.20210906.17
    T2  - American Journal of Biomedical and Life Sciences
    JF  - American Journal of Biomedical and Life Sciences
    JO  - American Journal of Biomedical and Life Sciences
    SP  - 307
    EP  - 314
    PB  - Science Publishing Group
    SN  - 2330-880X
    UR  - https://doi.org/10.11648/j.ajbls.20210906.17
    AB  - Non-contact Fluorescence Molecular Tomography (FMT) and Bioluminescence Tomography (BLT) has attracted more and more attention due to its unique advantages. For real experiments, how to obtain the 3D model of an object and the surface fluorescence distribution is one of the main obstacles. In this paper, an effective method to obtain the Finite Element Model is presented. We discuss the geometric and mathematical principles in detail. We prove that the FEM model generated by the method has enough quality for reconstruction. We demonstrate the quality of the model through a series of examples. This method can realize the whole process only by using a single-mode optical system. Firstly, a series of white light and fluorescence images are collected along the object in white light flat field illumination mode and excitation fluorescence mode respectively. The white light illumination images are used to reconstruct the 3D model contour of the object. After voxelization with appropriate resolution, we use the Delaunay algorithm to divide the model into tetrahedral finite elements. For the fluorescence image, we proposed a method based on vertex normal vector to realize the photon flux density mapping from 2D fluorescence image to 3D Finite Element Method (FEM) mesh nodes of the surface. The experimental results prove the accuracy of the model and the mapping, and the FEM obtained can meet the needs of FMT/ BLT reconstruction.
    VL  - 9
    IS  - 6
    ER  - 

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Author Information
  • Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei, China

  • Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei, China

  • Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei, China

  • Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei, China

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