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基于全局优化算法和等效电流模型的高均匀度便携式磁共振成像磁体阵列设计仿真

Design simulation of high-homogeneity portable MRI magnet array using global optimization algorithm and equivalent currents model.

作者信息

Zhou Jiannan, Xiao Xia, Liu Yiming, Sun Chang, Liu Yu, Ma Xinyu, Ding Jiahui, Pang Yanwei, Wang Zhenchang

机构信息

State Key Laboratory of Advanced Materials for Intelligent Sensing, Tianjin Key Laboratory of Imaging and Sensing Microelectronic Technology, School of Microelectronics, Tianjin University, Tianjin, China.

Tianjin Key Laboratory of Brain Inspired Intelligence Technology, School of Electrical and Information Engineering, Tianjin University, Tianjin, China.

出版信息

Med Phys. 2025 Jun;52(6):3760-3771. doi: 10.1002/mp.17856. Epub 2025 Apr 28.

Abstract

BACKGROUND

High-field magnetic resonance imaging (MRI) systems offer high sensitivity and resolution but are costly and bulky, limiting their widespread use, particularly in remote areas. Conversely, portable MRI systems have emerged as a complementary technology, promising enhanced accessibility.

PURPOSE

This study introduces a novel optimization method combining an analytical model with a highly convergent global optimization algorithm to enhance the design of portable MRI permanent magnet arrays. The approach aims to significantly improve the efficiency of the magnet design process, thereby advancing the homogeneity of portable MRI magnet array.

METHODS

The proposed approach begins with the calculation of initial magnetic field distributions using current element principles. This is followed by the development of an advanced analytical model based on matrix algebra. The consistency between the calculated results of the analytical model and the results from finite element method (FEM) simulations is then evaluated to assess the reliability of the magnetic field calculations across various magnet array configurations. The integration of the analytical model with the improved grey wolf optimization (IGWO) algorithm enhances the optimization process, leading to magnet array configurations with improved homogeneity.

RESULTS

FEM simulations agree with the analytical model, revealing a computational error with an average root mean square error (RMSE) of 0.4% in the magnetic field map. The calculation speed of analytical model is at least 200 times higher than that using FEM-based software with uncompromised accuracy. The optimization process successfully yields a permanent magnet array with exceptional homogeneity (1080 ppm) and strong field strength (79.5 mT) across a 0.2 m diameter of spherical volume (DSV). Moreover, this is accomplished while maintaining a lightweight (129 kg) and compact design (interior diameter: 0.31 m). The IGWO model has been shown to outperform the benchmark genetic algorithm (GA) model, which is currently used for magnet design in MRI.

CONCLUSIONS

This study introduces a novel optimization method that significantly enhances the design of portable MRI permanent magnet arrays. By integrating an analytical model with the IGWO algorithm, this method enhances the efficiency of magnet design compared to traditional FEM. This method addresses the limitations of traditional magnet optimization techniques, which are often susceptible to local optima. The results indicate that this method can play a crucial role in developing MRI systems with high homogeneity.

摘要

背景

高场磁共振成像(MRI)系统具有高灵敏度和高分辨率,但成本高昂且体积庞大,限制了其广泛应用,尤其是在偏远地区。相反,便携式MRI系统已成为一种补充技术,有望提高可及性。

目的

本研究介绍一种将解析模型与高度收敛的全局优化算法相结合的新型优化方法,以改进便携式MRI永磁阵列的设计。该方法旨在显著提高磁体设计过程的效率,从而提升便携式MRI磁体阵列的均匀性。

方法

所提出的方法首先利用电流元原理计算初始磁场分布。随后基于矩阵代数开发一种先进的解析模型。接着评估解析模型的计算结果与有限元方法(FEM)模拟结果之间的一致性,以评估各种磁体阵列配置下磁场计算的可靠性。将解析模型与改进的灰狼优化(IGWO)算法相结合可增强优化过程,从而得到具有更高均匀性的磁体阵列配置。

结果

FEM模拟与解析模型结果一致,在磁场图中显示平均均方根误差(RMSE)为0.4%的计算误差。解析模型的计算速度比使用基于FEM的软件至少快200倍,且精度不受影响。优化过程成功得到了一个永磁阵列,在直径0.2 m的球形体积(DSV)内具有出色的均匀性(1080 ppm)和强场强(79.5 mT)。此外,在保持轻量化(129 kg)和紧凑设计(内径:0.31 m)的同时实现了这一点。已证明IGWO模型优于目前用于MRI磁体设计的基准遗传算法(GA)模型。

结论

本研究介绍了一种新型优化方法,该方法显著改进了便携式MRI永磁阵列的设计。通过将解析模型与IGWO算法相结合,该方法与传统FEM相比提高了磁体设计效率。该方法解决了传统磁体优化技术易陷入局部最优的局限性。结果表明,该方法在开发具有高均匀性的MRI系统中可发挥关键作用。

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