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Fluorescence photoacoustic tomography (fPAT) is a molecular imaging modalitythat combines photoacoustic tomography (PAT) with fluorescence imaging toobtain high-resolution imaging of fluorescence distributions insideheterogeneous media. The objective of this work is to study inverse problems inthe quantitative step of fPAT where we intend to reconstruct physicalcoefficients in a coupled system of radiative transport equations usinginternal data recovered from ultrasound measurements. We derive uniqueness andstability results on the inverse problems and develop some efficient algorithmsfor image reconstructions. Numerical simulations based on synthetic data arepresented to validate the theoretical analysis. The results we present herecomplement these in [Ren-Zhao, SIAM J. Imag. Sci., 2013] on the same problembut in the diffusive regime.

Inverse transport problems in quantitative PAT for molecular imaging