Abstract Lungs are used as an attractive possibility for administration of different therapeutic substances for a long time. An innovative method of such administration widely studied nowadays is the application of aerosolized magnetic particles as the carriers to the lungs in the external non-homogeneous magnetic field. For these reasons we have studied dynamics of such a system on a level of particle trajectory in air in the presence of magnetic force as a driving force exerted on micrometric magnetic particle. On two typical examples of magnetically driven systems—motion of magnetic particle in a gradient magnetic field and cyclotron-like motion of a charged particle in homogeneous magnetic field in microscale, where the external accelerating forces are very large and the relevant time scale is of the order from fraction of milliseconds to seconds, we have examined the importance of these forces. As has been shown, for particles with high initial acceleration, not only the commonly used Stokes force but also the Basset history force should be used for correct description of the motion.

中文翻译：

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巴塞特历史力对描述空气中磁性粒子的磁驱动运动的重要性

摘要 长期以来，肺被用作施用不同治疗物质的有吸引力的可能性。目前广泛研究的这种给药的创新方法是将气雾化磁性颗粒作为载体在外部非均匀磁场中应用到肺部。由于这些原因，我们在存在磁力作为施加在微米磁性粒子上的驱动力的情况下，研究了这种系统在空气中粒子轨迹水平上的动力学。关于磁驱动系统的两个典型例子——梯度磁场中磁性粒子的运动和微尺度均匀磁场中带电粒子的类回旋运动，在外部加速力非常大且相关时间尺度从几分之一毫秒到几秒的数量级的情况下，我们已经研究了这些力的重要性。如前所述，对于具有高初始加速度的粒子，不仅应使用常用的斯托克斯力，还应使用巴塞特历史力来正确描述运动。