January/February 2024 Local analysis for locating a single point target in time-domain fluorescence diffuse optical tomography
Junyong Eom, Gen Nakamura, Goro Nishimura, Chunlong Sun
Differential Integral Equations 37(1/2): 27-58 (January/February 2024). DOI: 10.57262/die037-0102-27


The time-domain fluorescence diffuse optical tomography (FDOT) problem is to recover the distribution of fluorophores in biological tissue from the time-domain measurement on the boundary. The measurement is conducted by several pairs (S-D pairs) of a point source and a point detector. In this paper, we identify the location of the distribution of fluorophores over a point, refer as a point target. We first express a solution for the forward problem in a dimensionless form and consider its asymptotic expansion. Then, we theoretically investigate the minimal number of S-D pairs to determine the point target location, analyzing the sensitivity matrix. Finally, we numerically verify the invertibility of the matrix and demonstrate the local solvability for locating well-separated multiple point targets.


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Junyong Eom. Gen Nakamura. Goro Nishimura. Chunlong Sun. "Local analysis for locating a single point target in time-domain fluorescence diffuse optical tomography." Differential Integral Equations 37 (1/2) 27 - 58, January/February 2024. https://doi.org/10.57262/die037-0102-27


Published: January/February 2024
First available in Project Euclid: 20 September 2023

Digital Object Identifier: 10.57262/die037-0102-27

Primary: 35C20 , 35R30 , 65M32

Rights: Copyright © 2024 Khayyam Publishing, Inc.


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Vol.37 • No. 1/2 • January/February 2024
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