中国物理B ›› 2026, Vol. 35 ›› Issue (5): 58701-058701.doi: 10.1088/1674-1056/ae0899

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Migration behavior of magnetic nanoparticles with chain-like structure under gradient magnetic field and its influence on magnetic hyperthermia

Yundong Tang(汤云东)1,†, Xiaoyi Yang(杨晓艺)1, Rodolfo C.C. Flesch(弗莱施C.C.鲁道夫)2, and Tao Jin(金涛)3   

  1. 1 College of Physics and Information Engineering, Fuzhou University, Fuzhou 350108, China;
    2 Departamento de Automação e Sistemas, Universidade Federal de Santa Catarina, 88040-900 Florianópolis, SC, Brazil;
    3 College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350108, China
  • 收稿日期:2025-08-04 修回日期:2025-09-16 接受日期:2025-09-18 发布日期:2026-05-07
  • 通讯作者: Yundong Tang E-mail:tangyundong@fzu.edu.cn
  • 基金资助:
    Project supported in part by the National Natural Science Foundation of China (Grant Nos. 62471144 and 62071124) and in part by the Conselho Nacional de Desenvolvimento Científico e Tecnológico (BR) (CNPq) (Grant No. 315546/2021-2).

Migration behavior of magnetic nanoparticles with chain-like structure under gradient magnetic field and its influence on magnetic hyperthermia

Yundong Tang(汤云东)1,†, Xiaoyi Yang(杨晓艺)1, Rodolfo C.C. Flesch(弗莱施C.C.鲁道夫)2, and Tao Jin(金涛)3   

  1. 1 College of Physics and Information Engineering, Fuzhou University, Fuzhou 350108, China;
    2 Departamento de Automação e Sistemas, Universidade Federal de Santa Catarina, 88040-900 Florianópolis, SC, Brazil;
    3 College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350108, China
  • Received:2025-08-04 Revised:2025-09-16 Accepted:2025-09-18 Published:2026-05-07
  • Contact: Yundong Tang E-mail:tangyundong@fzu.edu.cn
  • Supported by:
    Project supported in part by the National Natural Science Foundation of China (Grant Nos. 62471144 and 62071124) and in part by the Conselho Nacional de Desenvolvimento Científico e Tecnológico (BR) (CNPq) (Grant No. 315546/2021-2).

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摘要： Magnetic hyperthermia uses magnetic nanoparticles (MNPs) to generate the heat used for damaging cancer cells under an alternating magnetic field. In fact, the MNPs tend to gather at the injection center and also occur the clustering phenomenon at the same time when injecting into tumor tissue, which however can ultimately result in the excessive concentration of heat in the injection site. Thus, this study aims at improving the MNPs concentration distribution after the injection behavior by considering the action of a static gradient magnetic field, and finally optimizes both temperature situation and thermal damage degree for tumor tissue during magnetic hyperthermia. The MNPs distribution inside a proposed liver tumor is simulated by adopting a Monte Carlo method with adaptive step size, which consists of enough number of small size particles used to analyze the behavior of migration, diffusion, and chain-like phenomenon. The research results demonstrate that the introduction of static gradient magnetic field can disperse the MNPs and form a chain-like distribution inside tumor, and can then expand the distribution range of MNPs, thereby optimizing the thermal damage degree of tumor tissue. In addition, a PID controller with proper setting coefficients is also proven to be able to improve the therapeutic effect for hyperthermia by shortening the rising time to the critical temperature when proper coefficients are set properly during therapy.

关键词: magnetic hyperthermia, magnetic nanoparticles, particles migration, gradient magnetic field

Abstract: Magnetic hyperthermia uses magnetic nanoparticles (MNPs) to generate the heat used for damaging cancer cells under an alternating magnetic field. In fact, the MNPs tend to gather at the injection center and also occur the clustering phenomenon at the same time when injecting into tumor tissue, which however can ultimately result in the excessive concentration of heat in the injection site. Thus, this study aims at improving the MNPs concentration distribution after the injection behavior by considering the action of a static gradient magnetic field, and finally optimizes both temperature situation and thermal damage degree for tumor tissue during magnetic hyperthermia. The MNPs distribution inside a proposed liver tumor is simulated by adopting a Monte Carlo method with adaptive step size, which consists of enough number of small size particles used to analyze the behavior of migration, diffusion, and chain-like phenomenon. The research results demonstrate that the introduction of static gradient magnetic field can disperse the MNPs and form a chain-like distribution inside tumor, and can then expand the distribution range of MNPs, thereby optimizing the thermal damage degree of tumor tissue. In addition, a PID controller with proper setting coefficients is also proven to be able to improve the therapeutic effect for hyperthermia by shortening the rising time to the critical temperature when proper coefficients are set properly during therapy.

Key words: magnetic hyperthermia, magnetic nanoparticles, particles migration, gradient magnetic field

中图分类号:  (Nanotechnologies-design)

  • 87.85.Qr
75.50.Tt (Fine-particle systems; nanocrystalline materials) 82.70.Dd (Colloids)