Inverse transport problem in fluorescence ultrasound modulated optical tomography with angularly averaged measurements

Abstract

We consider an inverse transport problem in fluorescence ultrasound modulated optical tomography (fUMOT) with angularly averaged illuminations and measurements. We study the uniqueness and stability of the reconstruction of the absorption coefficient and the quantum efficiency of the fluorescent probes. Reconstruction algorithms are proposed and numerical validations are performed. This paper is an extension of Li et al (2019 SIAM J. Appl. Math. 79 356–76), where a diffusion model for this problem was considered.