Inverse transport problems in quantitative PAT for molecular imaging. (30th November 2015)

• Record Type: Journal Article
• Authors: Ren, Kui; Zhang, Rongting; Zhong, Yimin
• Is Part Of: Inverse problems. Volume 31:Number 12(2015:Dec.)
• Publication Date: 2015-11-30
• Subjects: photoacoustic tomography -- fluorescence PAT -- radiative transport equation -- hybrid inverse problems -- molecular imaging; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/0266-5611/31/12/125012
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: Fluorescence photoacoustic tomography (fPAT) is a molecular imaging modality that combines photoacoustic tomography with fluorescence imaging to obtain high-resolution imaging of fluorescence distributions inside heterogeneous media. The objective of this work is to study inverse problems in the quantitative step of fPAT where we intend to reconstruct physical coefficients in a coupled system of radiative transport equations using internal data recovered from ultrasound measurements. We derive uniqueness and stability results on the inverse problems and develop some efficient algorithms for image reconstructions. Numerical simulations based on synthetic data are presented to validate the theoretical analysis. The results we present here complement these in Ren K and Zhao H (2013 SIAM J. Imaging Sci. 6 2024–49 ) on the same problem but in the diffusive regime.