I. Introduction
Magnetic nanoparticles (MNPs) have attracted significant interest in biology and medicine due to their diverse applications, including biosensing, targeted drug delivery, magnetic resonance imaging, and magnetic hyperthermia [Laurent 2008, Etemadi 2020, Shikano 2022, Tonthat 2023a, 2023b, 2023c]. Magnetic immunoassays using MNPs have emerged as a promising diagnostic tool for point-of-care testing. This innovative approach utilizes MNPs coated with specific detecting antibodies that selectively capture biological targets, such as viruses, bacteria, and proteins, through antigen–antibody reactions [Wu 2019, Cao 2020, Yari 2023. To maximize the potential of MNPs in bioassays, understanding and tailoring their magnetic behavior is crucial. Major magnetic property characterization methods, such as magnetization and susceptibility measurements [Wu 2019, Zhong 2012, 2014a, 2014b], play pivotal roles in gaining insights into the magnetic properties of MNPs, thereby enhancing bioassay performance. Recent advancements, including magnetic relaxation and ac susceptibility-based measurement methods, have further enabled the sensitive detection of various biological targets [Kötitz 1999, Astalan 2004, Chung 2005, Krishna 2016, Mizoguchi 2016, Enpuku 2017, Hirota 2023].