International Journal on Magnetic Particle Imaging IJMPI
Vol. 12 No. 1 Suppl 1 (2026): Int J Mag Part Imag

Short Abstracts, ID 983

A Single-Harmonic Amplitude-Phase Cross-Point Method for Estimating Hydrodynamic Diameter of Magnetic Nanoparticles

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Yidong Liao (Beihang University), Hui Hui (2 )CAS Key Laboratory of Molecular Imaging and the Beijing Key Laboratory of Molecular Imaging, Institute of Automation, Beijing, China ;3 )School of Artificial Intelligence, University of Chinese Academy of Sciences, Beijing, China), Jie Tian (1) School of Engineering Medicine and School of Biological Science and Medical Engineering, Beihang University, Beijing, China and and also with the Key Laboratory of Big Data-Based Precision Medicine (Beihang University), Ministry of Industry and Information Technology of China, Beijing, China; 2)CAS Key Laboratory of Molecular Imaging and the Beijing Key Laboratory of Molecular Imaging, Institute of Automation, Beijing, China)

Copyright (c) 2026 Yidong Liao, Hui Hui, Jie Tian

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

The precise and rapid measurement of the hydrodynamic diameter of magnetic nanoparticles (MNPs) is crucial for their synthesis and biomedical applications. This paper introduces a novel measurement metric, the Decline Cross-Point (DCP), derived from the amplitude and phase curves of a single harmonic in Field-Swept Magnetic Particle Spectroscopy (FS-MPS), for rapid estimation of the MNP hydrodynamic diameter. Unlike conventional methods that rely solely on harmonic amplitude, the incorporation of phase information significantly enhances the measurement sensitivity. Simulation results based on the Fokker-Planck equation established a strong linear correlation between the DCP and the hydrodynamic diameter. Experimental validations were conducted using three commercial MNP tracers (Synomag-D: 50 nm, Vivotrax: 62 nm, Perimag: 130 nm) on a custom FS-MPS system. The results demonstrate a highly linear relationship between the measured DCP and the manufacturer-specified hydrodynamic diameters. The proposed DCP method offers a sensitive, rapid, and cost-effective solution for in-situ monitoring of MNP size during synthesis and for characterizing functionalized MNPs in bioassays.

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