We present adjoint-based Jacobian as well as gradient evaluations and corresponding reconstruction schemes to solve the fully nonlinear, optical radiative transfer modeled one-step fluorescence photoacoustic tomographic (FPAT) problem, which aims to reconstruct the map of absorption coefficient of the exogenous fluorophore from boundary photoacoustic data. The radiative transport equation (RTE) and frequency-domain photoacoustic equation have been employed to model light and photoacoustic wave propagation, respectively. Levenberg–Marquardt and Broyden–Fletcher–Goldfarb–Shanno reconstruction schemes have been used corresponding to the evaluated Jacobians and gradients, respectively. Numerical reconstructions obtained from the two schemes have been validated for scattering-dominant as well as nonscattering-dominant media in 2D. To the best of our knowledge, these are the first one-step FPAT reconstruction results in literature based on the optical RTE model.

中文翻译：

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具有光学辐射转移模型的一步式荧光光声层析成像。

我们提出了基于伴随的雅可比行列式以及梯度评估和相应的重建方案，以解决完全非线性的，光辐射转移建模的一步式荧光光声层析成像（FPAT）问题，其目的是重建外源荧光团的吸收系数图。边界光声数据。辐射传输方程（RTE）和频域光声方程已分别用于模拟光和光声波的传播。Levenberg-Marquardt和Broyden-Fletcher-Goldfarb-Shanno重建方案已分别用于评估的雅可比和梯度。从这两种方案获得的数值重构已针对二维中的散射为主和非散射为主媒体进行了验证。