SIAM/ASA Journal on Uncertainty Quantification, Volume 8, Issue 2, Page 636-667, January 2020.
This work is concerned with uncertainty quantification problems for image reconstructions in quantitative photoacoustic imaging (PAT), a recent hybrid imaging modality that utilizes the photoacoustic effect to achieve high-resolution imaging of optical properties of tissue-like heterogeneous media. We quantify mathematically and computationally the impact of uncertainties in various model parameters of PAT on the accuracy of reconstructed optical properties. We derive, via sensitivity analysis, analytical bounds on error in image reconstructions in some simplified settings and develop a computational procedure, based on the method of polynomial chaos expansion, for such error characterization in more general settings. Numerical simulations based on synthetic data are presented to illustrate the main ideas.

中文翻译：

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表征定量光声中模型不确定性的影响

SIAM / ASA不确定性量化期刊，第8卷，第2期，第636-667页，2020年1月。
这项工作涉及定量光声成像（PAT）中图像重建的不确定性量化问题，定量光声成像（PAT）是一种最近的混合成像方式，利用光声效应来实现组织样异质介质光学特性的高分辨率成像。我们在数学和计算上量化了PAT各种模型参数中的不确定性对重构光学特性准确性的影响。通过敏感性分析，我们得出了在某些简化设置中图像重建中误差的解析边界，并基于多项式混沌展开法开发了一种计算程序，用于更一般设置中的此类误差表征。提出了基于合成数据的数值模拟，以说明主要思想。