Mathematical method in optical molecular imaging
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- 作者：ChengCai Leng (1) (2)
Jie Tian (2)
1. School of Mathematics and Information Sciences ; Nanchang Hangkong University ; Nanchang ; 330063 ; China
2. Key Laboratory of Molecular Imaging ; Institute of Automation ; Chinese Academy of Sciences ; Beijing ; 100190 ; China - 关键词：radiative transfer equation (RTE) ; regularization method ; source reconstruction ; optical molecular imaging ; mathematical method ; 杈愬皠浼犺緭鏂圭▼ ; 姝ｅ垯鍖栨柟娉?/li> 鍏夋簮閲嶅缓 ; 鍏夊鍒嗗瓙褰卞儚 ; 鏁板鏂规硶 ; 031101
- 刊名：SCIENCE CHINA Information Sciences
- 出版年：2015
- 出版时间：March 2015
- 年：2015
- 卷：58
- 期：3
- 页码：1-13
- 全文大小：697 KB
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- 刊物主题：Chinese Library of Science
Information Systems and Communication Service - 出版者：Science China Press, co-published with Springer
- ISSN：1869-1919
文摘
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.