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arXiv 2106.08040cond-mat.mes-hallphysics.comp-ph
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多维磁性粒子成像中大集合磁性纳米粒子的磁化动力学建模

Modeling the Magnetization Dynamics for Large Ensembles of Immobilized Magnetic Nanoparticles in Multi-dimensional Magnetic Particle Imaging

Hannes Albers, Tobias Knopp, Martin Möddel, Marija Boberg, Tobias Kluth

摘要:

磁性纳米粒子(MNP)在生物医学应用中发挥着重要作用,包括成像模式,如MRI和磁性粒子成像(MPI)。后者利用了大量磁性纳米颗粒对磁场的非线性磁化响应,这允许从测量的电压信号确定MNP浓度的空间分布。目前,在MPI环境中对MNP的大集合的电压信号进行建模尚不准确,特别是对于多维磁激励场中的液体示踪剂。因此,电压到图像映射仍然是在耗时的校准过程中获得的。虽然铁磁流体的情况下,可以被看作是典型的设置,最近固定化和潜在的定向MNP已经受到了相当大的关注。通过在固定过程中对齐颗粒,可以将易磁化轴的角度编码到磁化响应中,为基于模型的方法提供复杂的基准系统。在这项工作中,我们解决了固定化,面向MNP的MPI的上下文中的建模问题。我们研究了一种基于模型的方法,其中的磁化强度响应是由粒子的磁矩的Néel旋转模型模拟的,而系综磁化强度是通过求解Fokker-Planck方程的方法获得的。由于该模型的参数是先验未知的,我们调查不同的方法进行参数识别,并讨论两个模型:一个是使用一个单一的功能向量从空间跨越的模型参数和另一个功能向量的叠加被认为是。我们表明,我们的模型可以更准确地再现与方向相关的信号响应相比,平衡模型,这标志着目前的最先进的基于模型的系统矩阵模拟MPI。

英文摘要:

Magnetic nanoparticles (MNPs) play an important role in biomedical applications including imaging modalities such as MRI and magnetic particle imaging (MPI). The latter one exploits the non-linear magnetization response of a large ensemble of magnetic nanoparticles to magnetic fields which allows determining the spatial distribution of the MNP concentration from measured voltage signals. Currently, modeling the voltage signals of large ensembles of MNPs in an MPI environment is not yet accurately possible, especially for liquid tracers in multi-dimensional magnetic excitation fields. Thus, the voltage-to-image mapping is still obtained in a time consuming calibration procedure. While the ferrofluidic case can be seen as the typical setting, more recently immobilized and potentially oriented MNPs have received considerable attention. By aligning the particles during immobilization, one can encode the angle of the easy axis into the magnetization response providing a sophisticated benchmark system for model-based approaches. In this work, we address the modeling problem for immobilized, oriented MNPs in the context of MPI. We investigate a model-based approach where the magnetization response is simulated by a Néel rotation model for the particle's magnetic moments and the ensemble magnetization is obtained by solving a Fokker-Planck equation approach. Since the parameters of the model are a-priori unknown, we investigate different methods for performing a parameter identification and discuss two models: One where a single function vector is used from the space spanned by the model parameters and another where a superposition of function vectors is considered. We show that our model can much more accurately reproduce the orientation dependent signal response when compared to the equilibrium model, which marks the current state-of-the-art for model-based system matrix simulations in MPI.

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