# Harmonic Ratio Analysis in Magnetic Particle Imaging Enables Differentiation of Malignant and Benign Human Breast Tissues: A Feasibility Study

**Authors:** Hongyu Yang, Haoran Zhang, Yiyin Zhang, Yixiang Zhou, Xinmiao Qu, Xun Zhang, Ke Li, Hanfu Shi, Hui Lin, Shu Wang, Zeyu Zhang

PMC · DOI: 10.3390/bioengineering13020183 · Bioengineering · 2026-02-04

## TL;DR

A new method using magnetic particle imaging and harmonic ratios can help distinguish between malignant and benign breast tissues quickly during surgery.

## Contribution

This study introduces a novel diagnostic approach using harmonic ratios from magnetic particle imaging to differentiate breast tissue types.

## Key findings

- Malignant tissues showed harmonic ratios above 2.2, while benign tissues remained below 2.0.
- The harmonic ratio method demonstrated high stability and rapid signal acquisition capabilities.
- MPI signal harmonics can serve as a quantitative biomarker for malignancy assessment.

## Abstract

Accurate intraoperative differentiation between malignant and benign breast tissues, particularly the assessment of lymph node status and tumor margins, is critical for surgical decision-making and prognosis. Traditional histopathological methods, such as frozen section analysis, are time-consuming and labor-intensive. Magnetic Particle Imaging (MPI) is a novel, radiation-free modality that senses the microenvironmental properties of tissues through the dynamic response of magnetic tracers. In this study, we propose a diagnostic method utilizing the higher-order harmonic response of magnetic nanoparticles. Various ex vivo breast tissue samples were immersed in Synomag-50 nanoparticles. Using a custom-built MPI spectrometer (5 kHz excitation, 9 mT amplitude) operating in spectroscopic mode, we implemented a rapid acquisition protocol in which each sample was measured 10 times, with 0.1 s per cycle. We analyzed the magnetic response spectrum and calculated the ratio of the third to the fifth harmonic (H3/H5). Histological analysis confirmed the effective infiltration of MNPs into the interstitial spaces. The repeated measurement data demonstrated high stability. A distinct stepwise increase in harmonic ratios was observed from normal tissue to tumor-adjacent tissue and finally to malignant tumors. Specifically, malignant samples showed ratios that generally exceeded 2.2, whereas benign samples remained below 2.0. These preliminary findings suggest that the harmonic ratio could serve as a sensitive biomarker reflecting the microenvironmental constraints associated with malignancy. This study validates the feasibility of utilizing MPI signal harmonics as a quantitative metric with rapid signal acquisition capabilities for differentiating benign and malignant lymph nodes.

## Linked entities

- **Diseases:** breast cancer (MONDO:0004989)

## Full-text entities

- **Diseases:** Breast Cancer (MESH:D001943), BLNs (MESH:D000072717), thromboembolism (MESH:D013923), ANT (MESH:D017695), MC (MESH:D002288), fibrosis (MESH:D005355), injury to (MESH:D014947), Tumor (MESH:D009369)
- **Chemicals:** gadolinium (MESH:D005682), dextran (MESH:D003911), H&amp;E (MESH:D006371), Hematoxylin and Eosin (-), iron (MESH:D007501), iron oxide (MESH:C000499), saline (MESH:D012965), Prussian Blue (MESH:C000170)
- **Species:** Homo sapiens (human, species) [taxon 9606]

## Full text

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## Figures

4 figures with captions in the complete paper: https://tomesphere.com/paper/PMC12938619/full.md

## References

29 references — full list in the complete paper: https://tomesphere.com/paper/PMC12938619/full.md

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Source: https://tomesphere.com/paper/PMC12938619