A Spatio-Temporal Approach for the Solution of the Inverse Problem in the Reconstruction of Magnetic Nanoparticle Distributions
A Spatio-Temporal Approach for the Solution of the Inverse Problem in the Reconstruction of Magnetic Nanoparticle Distributions
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DOI：
10.1109/tmag.2010.2043344
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发表时间：
2010-08-01
影响因子：
2.1
通讯作者：
Haueisen, Jens
中科院分区：
文献类型：
--
作者：
Baumgarten, Daniel;Haueisen, Jens
磁性纳米颗粒分布的估计对于它们的医学应用是必不可少的。一种可能的技术是重建这些分布从多通道磁弛豫测量。在本文中，提出了一种新的最小范数的方法来解决这个反问题的基础上的时空扩展的一般应用的空间铅场矩阵。该方法的性能进行了定量研究，在模拟和传统的静态技术相比。研究了相关参数信噪比、时间模型时间常数和TSVD正则化参数的影响。我们的研究结果表明，新的时空方法显着提高重建质量。
The estimation of magnetic nanoparticle distributions is essential for their medical application. A possible technique is the reconstruction of these distributions from multichannel magnetorelaxometry measurements. In this paper, a novel minimum norm approach for the solution of this inverse problem based on a spatio-temporal expansion of the generally applied spatial lead field matrix is presented. The performance of this method is quantitatively studied in simulations and compared to the conventional static technique. The influence of the relevant parameters signal-to-noise ratio in the data, time constant of the temporal model, and TSVD regularization parameter is investigated. Our results indicate that the novel spatio-temporal approach significantly improves the reconstruction quality.