RBF level-set based fully-nonlinear fluorescence photoacoustic pharmacokinetic tomography

IF 1.1 4区工程技术 Q3 ENGINEERING, MULTIDISCIPLINARY

Inverse Problems in Science and Engineering Pub Date : 2021-10-04 DOI:10.1080/17415977.2021.1982934

Omprakash Gottam, N. Naik, Prabodh Kumar Pandey, S. Gambhir

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引用次数: 0

Abstract

Pharmacokinetic fluorescence optical tomography (PK-FOT) and dynamic contrast enhancement (DCE) based multispectral optoacoustic tomography (DCE-MSOT) are non-ionizing alternatives to nuclear medicine and radiological modalities such as DCE-PET/CT/MRI for spatially-resolved quantitative imaging of PK parameters and fluorophore-concentrations. The present work introduces for the first time in literature, a fluorescence photoacoustic tomography (FPAT) based fully-nonlinear PK-FPAT reconstruction framework; in a 2-compartment PK-model and optical-fluorescence modelled frequency domain photoacoustic equation setting. From boundary pressure measurements, we solve the dynamic FPAT (compartment-concentration) state and (PK) parameter estimation problem with two shape-based RBF level-set reconstruction schemes in regularized trust region settings; a Jacobian-based Gauss–Newton filter and our newly proposed gradient-based gradient filter. The reconstruction algorithms are validated in two dimensional settings with synthetic cancer mimicking phantoms. Our PK-FPAT algorithms lead to more stable and superior reconstructions (observed in reconstructed normalized mean square errors having lesser-variation-between and reduced-values-across data-noise levels, respectively) than those obtained by PK-FOT for similar test cases, while, with respect to current DCE-MSOT schemes, incorporating more complete forward models including optical fluorescence and coupled-ODE compartment models with no simplifying assumptions (within the accuracy of the models considered) on the fluence, and reconstructing actual (rather than scaled) PK-parameters, in a fully-nonlinear framework.

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基于RBF水平集的全非线性荧光光声药代动力学层析成像

药代动力学荧光光学断层扫描（PK-FOT）和基于动态对比度增强（DCE）的多光谱光声断层扫描（DCE-MSOT）是核医学和放射学模式（如DCE-PET/CT/MRI）的非电离替代品，用于PK参数和荧光团浓度的空间分辨定量成像。本工作在文献中首次介绍了一种基于荧光光声层析成像（FPAT）的全非线性PK-FPAT重建框架；在2室PK模型和光学荧光建模的频域光声方程设置中。根据边界压力测量，我们在正则化信任域设置中，用两种基于形状的RBF水平集重建方案解决了动态FPAT（隔室浓度）状态和PK参数估计问题；基于雅可比的高斯-牛顿滤波器和我们新提出的基于梯度的梯度滤波器。重建算法在二维环境中用模拟癌症的合成体模进行了验证。与PK-FOT在类似测试情况下获得的重建相比，我们的PK-FPAT算法导致了更稳定和更优越的重建（在重建的归一化均方误差中观察到，在数据噪声水平之间的变化较小，并且在数据噪声电平之间的值减小），而对于当前的DCE-MSOT方案，结合更完整的正向模型，包括光学荧光和耦合ODE隔室模型，对注量没有简化假设（在所考虑的模型的精度范围内），并在完全非线性的框架中重建实际（而不是缩放的）PK参数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Inverse Problems in Science and Engineering 工程技术-工程：综合

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Inverse Problems in Science and Engineering provides an international forum for the discussion of conceptual ideas and methods for the practical solution of applied inverse problems. The Journal aims to address the needs of practising engineers, mathematicians and researchers and to serve as a focal point for the quick communication of ideas. Papers must provide several non-trivial examples of practical applications. Multidisciplinary applied papers are particularly welcome. Topics include: -Shape design: determination of shape, size and location of domains (shape identification or optimization in acoustics, aerodynamics, electromagnets, etc; detection of voids and cracks). -Material properties: determination of physical properties of media. -Boundary values/initial values: identification of the proper boundary conditions and/or initial conditions (tomographic problems involving X-rays, ultrasonics, optics, thermal sources etc; determination of thermal, stress/strain, electromagnetic, fluid flow etc. boundary conditions on inaccessible boundaries; determination of initial chemical composition, etc.). -Forces and sources: determination of the unknown external forces or inputs acting on a domain (structural dynamic modification and reconstruction) and internal concentrated and distributed sources/sinks (sources of heat, noise, electromagnetic radiation, etc.). -Governing equations: inference of analytic forms of partial and/or integral equations governing the variation of measured field quantities.