|Mathematical method in optical molecular imaging|
|Leng ChengCai1,2; Tian Jie2
|Source Publication||SCIENCE CHINA-INFORMATION SCIENCES
|Abstract||Optical molecular imaging is an important technique of studies at molecular level and provides promising tools to non-invasively delineate in vivo physiological and pathological activities at cellular and molecular levels, and it has been widely used for diagnosing, managing diseases, metastasis detection and drug development. From a mathematical perspective, this paper mainly focuses on the forward problem and inverse problem in biological tissues based on the radiative transfer equation (RTE). The forward problem is accustomed to describing photon propagation in biological tissues and the inverse problem is used to reconstruct internal source distribution from the signal detected on the external surface. We also introduce the detailed derivation of the RTE and Robin boundary condition and discretization of the forward problem, along with the reconstruction methods and iterative solution algorithms summarized for the inverse problem. Finally, the current and future challenges of optical molecular imaging are discussed. This survey aims to construct a mathematical method, a state-of-the-art framework for optical molecular imaging, from which future research may benefit.|
|Keyword||Radiative Transfer Equation (Rte)
Optical Molecular Imaging
|WOS Headings||Science & Technology
|WOS Keyword||CERENKOV LUMINESCENCE TOMOGRAPHY
; TOTAL-VARIATION REGULARIZATION
; RADIATIVE-TRANSFER EQUATION
; SPLIT BREGMAN METHOD
; RESOLVED BIOLUMINESCENCE TOMOGRAPHY
; POSITRON-EMITTING RADIOTRACERS
; PERMISSIBLE SOURCE REGION
; RECONSTRUCTION ALGORITHM
; FLUORESCENCE TOMOGRAPHY
; SPARSITY REGULARIZATION
|WOS Research Area||Computer Science
|WOS Subject||Computer Science, Information Systems
|Corresponding Author||Tian Jie|
|Affiliation||1.Nanchang Hangkong Univ, Sch Math & Informat Sci, Nanchang 330063, Peoples R China|
2.Chinese Acad Sci, Inst Automat, Key Lab Mol Imaging, Beijing 100190, Peoples R China
Leng ChengCai,Tian Jie. Mathematical method in optical molecular imaging[J]. SCIENCE CHINA-INFORMATION SCIENCES,2015,58(3):1-13.
Leng ChengCai,&Tian Jie.(2015).Mathematical method in optical molecular imaging.SCIENCE CHINA-INFORMATION SCIENCES,58(3),1-13.
Leng ChengCai,et al."Mathematical method in optical molecular imaging".SCIENCE CHINA-INFORMATION SCIENCES 58.3(2015):1-13.
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