On fluorescence imaging: the diffusion equation model and recovery of the absorption coefficient of fluorophores

DOI10.1007/S11425-020-1731-YzbMath1490.35541OpenAlexW3118227156MaRDI QIDQ2143473

Goro Nishimura, Jijun Liu, Manabu Machida, Gen Nakamura, Chunlong Sun

Publication date: 31 May 2022

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-020-1731-y

zbMATH Keywords

inverse problemerror estimateslinearizationdiffusion equationidentifiabilityfluorescence imaging

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Integral representations of solutions to PDEs (35C15) Overdetermined initial-boundary value problems for PDEs and systems of PDEs (35N30)

Related Items (1)

Uniqueness and numerical inversion in the time-domain fluorescence diffuse optical tomography

Cites Work

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• Transport equations for elastic and other waves in random media
• Optical tomography: forward and inverse problems
• Optical tomography in medical imaging
• The Milne problem with Fresnel reflection

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