We present results of theoretical approach and mathematical modeling of magnetic hyperthermia produced by aggregates of ferromagnetic nanoparticles immobilized in a non-liquid carrier medium. It is supposed that the particles, due to their magnetic either disperse interaction, can form linear chain-like clusters. The mathematical model of kinetics of the particles remagnetization is formulated and solved for the cases of the single particles as well as for two- and three-particles chains. The limiting cases of the strong and weak internal magnetic anisotropy of the nanoparticles are considered. The results show that the chain-like aggregates reduce the heat production in the case of the strong magnetic anisotropy of the particles and enhances that in the opposite case of the weak anisotropy.

我们介绍了由固定在非液体载体介质中的铁磁纳米粒子的聚集体产生的磁热的理论方法和数学模型的结果。据推测，由于粒子的磁性或分散相互作用，它们可以形成线性链状簇。针对单个粒子以及两个和三个粒子链的情况，制定并解决了粒子磁化动力学的数学模型。考虑了纳米颗粒的强和弱内部磁各向异性的极限情况。结果表明，在颗粒的强磁各向异性的情况下，链状聚集体降低了热量产生，而在弱各向异性的情况下，链状聚集体提高了热量产生。