A hybrid inverse problem in the fluorescence ultrasound modulated optical tomography in the diffusive regime

TL;DR

This paper addresses a hybrid inverse problem in fluorescence ultrasound modulated optical tomography within the diffusive regime, demonstrating unique and stable reconstruction of key coefficients from boundary measurements, with proposed algorithms and numerical validation.

Contribution

It introduces a novel inverse problem in fUMOT, proving uniqueness and stability of reconstructions, and provides practical algorithms with numerical implementation.

Findings

Unique and stable reconstruction of fluorophore absorption and quantum efficiency coefficients.

Development of reconstruction algorithms for the inverse problem.

Numerical validation of the proposed methods.

Abstract

We investigate a hybrid inverse problem in fluorescence ultrasound modulated optical tomography (fUMOT) in the diffusive regime. We prove that the absorption coefficient of the fluorophores at the excitation frequency and the quantum efficiency coefficient can be uniquely and stably reconstructed from boundary measurement of the photon currents, provided that some background medium parameters are known. Reconstruction algorithms are proposed and numerically implemented as well.