## 1 Introduction  
Lung tumor is one of the most common malignant tumors, which is the leading cause of cancer-related death worldwide. K-Ras mutations result in normal cells dividing uncontrollably; however, few treatments can effectively target these mutations as both chemotherapy and radiation are harmful to normal lung tissues. Finding a new way to treat K-Ras lung tumors more effectively and with fewer side effects is, therefore, urgent and important.  
An increasing amount of research is being conducted in the role of magnetic nanoparticles (MNPs) in the inhibition of cell proliferation [1, 2, 3] because their unique characteristics offer attractive applications in the treatment of tumors [4]. For example, MNPs whose surface has been biochemically modified can be concentrated in a given area, thereby achieving targeted aggregation. [PERSON] shows the binding of epidermal growth factor receptor (EGFR) antibodies to MNPs and how they inhibit the growth of tumor cells through cytotoxic mechanisms [5]. In their study, MNPs act as carriers, delivering drugs to the tumor location. [PERSON] et al. investigate how iron oxide MNPs can be used to kill tumor cells by inducing hyperthermia, generated using high frequency (up to 100 kHz) magnetic fields, at the tumor location [6]. The hyperthermia comes from the tissue-field interactions. It could affect normal tissues adjacent to tumor cells. Consequently, researchers have investigated the non-thermal properties of MNPs for potential interference with tumor cells. When an alternating magnetic field is applied to a nanoparticle, a mechanical force can be induced by the magnetic field. Previous studies show that MNPs are affected by this applied field [7]. In 2016, [PERSON] reported the use of spin-vortex, disk-shaped permalloy magnetic particles in a low-frequency, rotating magnetic field for the in vitro and in vivo destruction of glioma cells [8]. In 2019, [PERSON] studied the magneto-mechanical modulation of iron oxide nanoparticles for remote actuation of apoptosis in liver cancer cells, which enabled remote activation of apoptosis in liver cancer cells [9]. Although magneto-actuated cell apoptosis was proposed in a number of studies, the phenomenon of the MNPs cooperated with the magnetic field on A549 tumor cells and internal mechanisms of this approach have not been fully discovered.  
In this study, Fe\({}_{3}\)O\({}_{4}\)@SiO\({}_{2}\) core-shell nanoparticles were cooperated with a magnetic field to intervene in the proliferation and migration of a K-Ras-driven A549 lung tumor cell line. Section 2 presents the preparation and characterizations of MNPs. Section 3 shows the design and simulation of the experimental platform. Section 4 provides analysis and calculations of MNPs in a magnetic field. The force calculation shows the magnetic force induced by MNPs with a magnetic field. Section 5 provides details of cell experiments. The experiments and analysis show that MNPs cooperated with a magnetic field could suppress not only the proliferation of tumor cells but also cell migration. Section 6 concludes the paper. This study suggests a new way to suppress the proliferation of K-Ras-driven lung tumors using MNPs cooperated with a magnetic field.