NONLINEAR QUANTITATIVE PHOTOACOUSTIC TOMOGRAPHY WITH TWO-PHOTON ABSORPTION

被引：9
|
作者：
Ren, Kui [1 ,2 ]
Zhang, Rongting [1 ]
机构：
[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA
[2] Univ Texas Austin, ICES, Austin, TX 78712 USA
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 2018年 / 78卷 / 01期
基金：
美国国家科学基金会;
关键词：
photoacoustic tomography (PAT); two-photon PAT (TP-PAT); two-photon absorption; hybrid inverse problems; semilinear diffusion equation; numerical reconstruction; MICROSCOPY; INVERSION; RECONSTRUCTION; UNIQUENESS; EQUATIONS;
D O I：
10.1137/16M1089228
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Two-photon photoacoustic tomography (TP-PAT) is a noninvasive optical molecular imaging modality that aims at inferring the two-photon absorption property of heterogeneous media from photoacoustic measurements. In this work, we analyze an inverse problem in quantitative TP-PAT where we intend to reconstruct optical coefficients in a semilinear elliptic PDE, the mathematical model for the propagation of near infrared photons in tissue-like optical media with two-photon absorption, from the internal absorbed energy data. We derive uniqueness and stability results on the reconstructions of single and multiple optical coefficients, and present some numerical reconstruction results based on synthetic data to complement the theoretical analysis.
引用
收藏
页码：479 / 503
页数：25
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