0—1 integer linear programming for actively shielded magnetic resonance image (MRI) superconducting magnet design

Zhang Guo-Qing; Du Xiao-Ji; Zhao Ling; Ning Fei-Peng; Yao Wei-Chao; Zhu Zi-An

doi:10.7498/aps.61.228701

Abstract

Here introduced is an optimization design method for actively shielded magnetic resonance image (MRI) superconducting magnet based on the integer linear programming. The feasible coil space is densely divided by an array of candidate squares and, its size is determined by the size of actual superconducting wire. The 0—1 integer linear programming method is adopted to obtain the initial wire concentrated region of coils by comprehensivly considering superconductivity wire consumption, magnetic field intensity inside the superconductors, homogeneity in imaging region and the range of leak fields. Then by reasonably adjusting the position and section size of the wire concentrated region for the next calculation, the final MRI superconducting magnet structure with rectangular section coils is obtained. The method is based on the full size of the superconducting wire, which makes the MRI superconducting magnet design more feasible and has greater advantage for the actual fabriction. With different constraints, the method can also be used for other superconducting magnet design. Finally an example of the MRI magnet optimal design is presented.

Keywords:

Authors and contacts

1.
Graduate University of Chinese Academy of Sciences, Beijing 100049, China;
2.
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China

References

[1]	Lvovsky, Jarvis P 2005 IEEE Trans. Applied Superconductivity 15 1317
[2]	Shaw N R, Ansorge R E 2002 IEEE Trans. Applied Superconductivity 12 733
[3]	Viktor Vegh, Tieng Q M, Bpereton I M 2009 Concepts in Magnetic Resonance PartB 35B(3) 180
[4]	Noguchi S, Ishiyama A 1996 IEEE Trans. Magn 32 2655
[5]	Felipe Campelbo, So Noguchi, Hajime Igarashi 2006 IEEE Trans. Applied Superconductivity 16 1316
[6]	Gautam Sinha, Ravishankar Sundararaman, Gurnam Singh 2008 IEEE Trans. Magn 44 2351
[7]	Xu H, Conolly S M, Scoot G C, Albert Macovski 2000 IEEE Trans. Magn 36 476
[8]	Wang C Z, Wang Q L, Zhang Q 2010 IEEE Trans. Applied Superconductivity 20 706
[9]	Wang Q L, Xu G X, Dai Y M, Zhao B Z, Yan L G, Keeman Kim 2009 IEEE Trans. Applied Superconductivity 19 2289
[10]	Wu W, He Y, Ma L Z, Huang W X, Xia J W 2009 Chin. Phys. C 33 1
[11]	Wang Q L 2008 The Science of High Magnetic Field Superconducting Magnet (Beijing: Science Press) p54-55 (in China) [王秋良 2008 高磁场超导磁体科学(北京:科学出版社) 第54—55页]
[12]	Garrett M W 1967 J. Appl. Phys 38 2563
[13]	Cheng YCN, Brown RW, Thompson MR, Eagan TP, Shvartsman SM 2004 IEEE Trans. Applied Superconductivity 14 2008

Cited By

[1]	Lvovsky, Jarvis P 2005 IEEE Trans. Applied Superconductivity 15 1317
[2]	Shaw N R, Ansorge R E 2002 IEEE Trans. Applied Superconductivity 12 733
[3]	Viktor Vegh, Tieng Q M, Bpereton I M 2009 Concepts in Magnetic Resonance PartB 35B(3) 180
[4]	Noguchi S, Ishiyama A 1996 IEEE Trans. Magn 32 2655
[5]	Felipe Campelbo, So Noguchi, Hajime Igarashi 2006 IEEE Trans. Applied Superconductivity 16 1316
[6]	Gautam Sinha, Ravishankar Sundararaman, Gurnam Singh 2008 IEEE Trans. Magn 44 2351
[7]	Xu H, Conolly S M, Scoot G C, Albert Macovski 2000 IEEE Trans. Magn 36 476
[8]	Wang C Z, Wang Q L, Zhang Q 2010 IEEE Trans. Applied Superconductivity 20 706
[9]	Wang Q L, Xu G X, Dai Y M, Zhao B Z, Yan L G, Keeman Kim 2009 IEEE Trans. Applied Superconductivity 19 2289
[10]	Wu W, He Y, Ma L Z, Huang W X, Xia J W 2009 Chin. Phys. C 33 1
[11]	Wang Q L 2008 The Science of High Magnetic Field Superconducting Magnet (Beijing: Science Press) p54-55 (in China) [王秋良 2008 高磁场超导磁体科学(北京:科学出版社) 第54—55页]
[12]	Garrett M W 1967 J. Appl. Phys 38 2563
[13]	Cheng YCN, Brown RW, Thompson MR, Eagan TP, Shvartsman SM 2004 IEEE Trans. Applied Superconductivity 14 2008

[1]	Zhao Di, Zhao Li-Zhi, Gan Yong-Jin, Qin Bin-Yi. Undersampled magnetic resonance image reconstruction based on support prior and deep image prior without pre-training. Acta Physica Sinica, 2022, 71(5): 058701. doi: 10.7498/aps.71.20211761
[2]	Xiang Peng-Cheng, Cai Cong-Bo, Wang Jie-Chao, Cai Shu-Hui, Chen Zhong. Super-resolved reconstruction method for spatiotemporally encoded magnetic resonance imaging based on deep neural network. Acta Physica Sinica, 2022, 71(5): 058702. doi: 10.7498/aps.71.20211754
[3]	Gao Song, Cao Wen-Tian, Huang Xin-Rui, Bao Shang-Lian. Research progress of ¹⁰B concentration and distribution measurement in boron neutron capture therapy. Acta Physica Sinica, 2021, 70(14): 148701. doi: 10.7498/aps.70.20201794
[4]	. Undersampled Magnetic Resonance Image Reconstruction based on Support Prior and Deep Image Prior without Pre-Training. Acta Physica Sinica, 2021, (): . doi: 10.7498/aps.70.20211761
[5]	Jiang Xiao-Hua, Xue Peng, Huang Wei-Can, Li Ye. Technology challenges of 14 T whole-body superconducting MRI magnets —A target of high-field superconducting magnet technology for large scale applications in next decade. Acta Physica Sinica, 2021, 70(1): 018401. doi: 10.7498/aps.70.20202042
[6]	Chen Ya-Bo, Yang Xiao-Kuo, Wei Bo, Wu Tong, Liu Jia-Hao, Zhang Ming-Liang, Cui Huan-Qing, Dong Dan-Na, Cai Li. Ferromagnetic resonance frequency and spin wave mode of asymmetric strip nanomagnet. Acta Physica Sinica, 2020, 69(5): 057501. doi: 10.7498/aps.69.20191622
[7]	Du Xiao-Ji, Wang Wei-Min, Lan Xian-Hui, Li Chao. Design, fabrication and test of superconducting magnet for 1.5 T dedicated extremity magnetic resonance imaging system. Acta Physica Sinica, 2017, 66(24): 248401. doi: 10.7498/aps.66.248401
[8]	Zhu Guang, Liu Jian-Hua, Cheng Jun-Sheng, Feng Zhong-Kui, Dai Yin-Min, Wang Qiu-Liang. Effects of different coil combinations on the optimal design of a 25 T superconducting magnet. Acta Physica Sinica, 2016, 65(5): 058401. doi: 10.7498/aps.65.058401
[9]	Hu Yang, Wang Qiu-Liang, Li Yi, Zhu Xu-Chen, Niu Chao-Qun. Optimization of magnetic resonance imaging high-order axial shim coils using boundary element method. Acta Physica Sinica, 2016, 65(21): 218301. doi: 10.7498/aps.65.218301
[10]	Yu Hong-Yun. Effect of superconducting magnet remanence on the soft magnetic material measurements. Acta Physica Sinica, 2014, 63(4): 047502. doi: 10.7498/aps.63.047502
[11]	Liu Tie-Bing, Yao Wen-Po, Ning Xin-Bao, Ni Huang-Jing, Wang Jun. The base scale entropy analysis of fMRI. Acta Physica Sinica, 2013, 62(21): 218704. doi: 10.7498/aps.62.218704
[12]	Feng Zhong-Kui, Hu Ge-Li, Xu Ying, Zhu Guang, Zhou Feng, Dai Yin-Ming, Wang Qiu-Liang. Optimization in design of actively shielded whole-body open high-field superconducting MRI magnet. Acta Physica Sinica, 2013, 62(23): 230701. doi: 10.7498/aps.62.230701
[13]	Fang Sheng, Wu Wen-Chuan, Ying Kui, Guo Hua. A new fast magnetic resonance imaging method based on variabledensity spiral data acquisition and Bregman iterative reconstruction. Acta Physica Sinica, 2013, 62(4): 048702. doi: 10.7498/aps.62.048702
[14]	Ni Zhi-Peng, Wang Qiu-Liang, Yan Lu-Guang. A hybrid optimization approach to design of compact self-shielded super conducting magnetic resonance imaging magnet system. Acta Physica Sinica, 2013, 62(2): 020701. doi: 10.7498/aps.62.020701
[15]	Hu Hai-Tao, Xiao Li-Zhi, Wu Xi-Ling. Numerical method of designing nuclear magnetic resonance logging device sensor. Acta Physica Sinica, 2012, 61(14): 149302. doi: 10.7498/aps.61.149302
[16]	Wang Ning, Jin Yi-Rong, Deng Hui, Wu Yu-Lin, Zheng Guo-Lin, Li Shao, Tian Ye, Ren Yu-Feng, Chen Ying-Fei, Zheng Dong-Ning. Ultra-low field magnetic resonance imaging based on high Tc dc-SQUID. Acta Physica Sinica, 2012, 61(21): 213302. doi: 10.7498/aps.61.213302
[17]	Chen Jie-Fu, Liu Wan-Qiu, Zhong Wan-Xie. Precise time integral of the Bloch equations and its application to the design of radio frequency pulses. Acta Physica Sinica, 2006, 55(2): 884-890. doi: 10.7498/aps.55.884
[18]	Zhang Bi-Da, Wang Wei-Dong, Song Xiao-Yu, Zu Dong-Lin, Lü Hong-Yu, Bao Shang-Lian. The application of modern radio-frequency excitation theory in nonhomogeneous fi eld magnetic resonance imaging. Acta Physica Sinica, 2003, 52(5): 1143-1150. doi: 10.7498/aps.52.1143
[19]	LI GENG-YING, WANG DONG-SHENG, WU XUE-WEN. RESPONSE OF HALF-INTEGER QUADRUPOLAR NUCLEAR TO COMB-PULSE IN SOLID STATE NMR. Acta Physica Sinica, 1988, 37(6): 1018-1024. doi: 10.7498/aps.37.1018
[20]	. . Acta Physica Sinica, 1975, 24(6): 452-453. doi: 10.7498/aps.24.452

Catalog

Vol. 61, Issue 22 - 2012-11-20

Metrics

Abstract views: 9499
PDF Downloads: 630
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板