3691

Effects of oscillating frequency and SNR on quantifying microstructural properties in breast tumor using oscillating gradient diffusion MRI
Ruicheng Ba1, Xiaoxia Wang2, Zelin Zhang1, Hsu Yi-Cheng3, Yi Sun3, Jiuquan Zhang2, and Dan Wu1
1Key Laboratory for Biomedical Engineering of Ministry of Education, Department of Biomedical Engineering, College of Biomedical Engineering & Instrument Science, Zhejiang University, Hangzhou, China, 2Department of Radiology, Chongqing University Cancer Hospital, Chongqing, China, 3MR Collaboration, Siemens Healthineers Ltd., Shanghai, China

Synopsis

The oscillating frequency and SNR are important for accurate microstructural mapping in diffusion-time-dependent diffusion MRI, which however, are limited on clinical scanners. This study demonstrated that the dMRI acquisition protocol with frequency up to 50 Hz achieved significant higher accuracy than that with 33Hz, based on 1) Monte-carlo simulation, 2) clinical data on 37 breast tumor patients, and 3) correlation with histological data. Also, for the first time, we demonstrated the feasibility of oscillating gradient dMRI-based microstructural mapping in distinguishing breast tumor status clinically.

Introduction

Simulation and preclinical studies of diffusion-time (td) dependent diffusion MRI (dMRI) [1,2] using oscillating and pulsed gradients spin-echo (OGSE and PGSE) sequences demonstrate its unique advantages in probing tumor microstructure [3-6], and the clinical feasibility in tumor applications was previously explored [7-11]. Several tumor microstructural indices could be fitted with biophysical models [3,12,13], which however, requires relatively high oscillating frequency and high SNR. The feasibility of microstructural mapping in clinical application and its requirement on hardware setting and acquisition protocol remains unknown.
This study investigated the effects oscillating frequency and SNR on the accuracy of microstructural mapping with comprehensive experiments, including 1) Monte-carlo simulation, 2) clinical data from breast tumor patients, and 3) correlation with histological data.

Methods

Thirty-seven patients with Breast Imaging Reporting and Data System (BI-RADS) 4 or 5 category lesions (aged 52±8.8 years) were enrolled with IRB approval and consent. Pathological biomarkers including estrogen receptor (ER), progesterone receptor (PR), and human epidermal growth factor receptor 2 (HER2) status and presence of lymph node (LN) invasion was obtained for every patient and the status was divided into positive (+) and negative (-).
The dMRI data were acquired on a 3T Siemens scanner (MAGNETOM Prisma, Siemens Healthcare, Erlangen, Germany, maximum gradient amplitude = 80mT/m) using self-developed oscillating and pulsed gradient spin-echo (OGSE and PGSE) sequences. Two sets of parameters were implemented with the same diffusion directions = 6, FOV = 260×260 mm2, in-plane resolution = 2.6×2.6 mm2, slice thickness=4 mm, slice number=10, and PGSE of δ/△ = 10/30ms (td,eff=26.7ms, b=0.5/1/1.5ms/µm2); but different oscillating frequencies at (i) 50Hz (td,eff=5ms, b=0.25/0.5ms/µm2) and 25Hz (td,eff=10ms, b=0.5/1/1.5ms/µm2), and (ii) 33Hz (td,eff=7.5ms, b=0.25/0.5ms/µm2) and 17Hz (td,eff=15ms, b=0.5/1/1.5ms/µm2). The total acquisition was approximately 4.5 min. Routine T1-weighted imaging and diffusion-weighted imaging (DWI) were acquired.
Regions of interest (ROIs) were manually delineated in cancerous tissues based on DWI and T1 images. td-dMRI data were fitted with an limited spectrally edited diffusion IMPULSED model [3] to obtain microstructural properties including cell diameter (d), intracellular fraction (fin), and extracellular diffusivity (Dex) using nonlinear least square curve fitting in MATLAB while fixing intracellular diffusivity (Din)=1.2µm2/ms and β=0 to enhance fitting stability [3]. Apparent diffusion coefficient (ADC) was also calculated at each td. The ROI-averaged parameters were compared between the different statuses of biomarkers with Welch's t-tests. For pathological validation, six H&E stained whole-slide images (WSIs) were selected. The nucleus in each WSI was segmented via a pre-trained Conditional Generative Adversarial Networks (cGAN) [15]. The volume-weighted diameter, and cell fraction were calculated as $$$d_{pathology}=\sum_{n} d_{n}^{4}/\sum_{n} d_{n}^{3}$$$ and $$$f_{in,pathology}=\left(\sum_{n} A_{cell,n}/A_{tissue}\right)^{3/2}$$$, where dn, Acell,n represents the cell size and area of the nth cell, Atissue repersents the area of tissure.
Monte-Carlo simulations were performed in Camino [14] and cells were modeled as tightly packed impermeable spheres with d=10um, fin=0.3, Din=1.2μm2/ms and Dex=2μm2/ms. Gaussian white noise with different SNR(20,50,100) was added using MATLAB.

Results

Simulation
Figure 1 shows the error between fitted microstructural properties based on simulated signal and ground truth at different SNR levels. The fitting errors in d and fin considerably increased at SNR=20 and the accuracy was improved at SNR=50/100. The higher-frequency group better estimated d while the lower frequency group better estimated fin.

Breast tumor patients
Figure 2 shows maps of ADC and microstructural properties fitted with the IMPULSED model in six representative cases. We observed higher fin and lower ADC in ER(+) and PR(+) cases and larger d in HER2(+) and LN(+) cases. For fitted properties in the high-frequency group, d was significantly higher in HER2(+) and LN(+) cases compared to negative cases, whereas Dex and ADC were significantly lower in ER(+) or PR(+) cases compared to negative cases (Figure 4). In the lower frequency group, there was no significant difference between ER,PR,HER2,and LN status in terms of d; whereas fin was significantly higher and Dex and ADC were significantly lower in PR(+) cases. Note that we found strong negative and positive correlations between fin –ADC and between Dex –ADC, respectively, in both frequency groups (Figure 5). ROC analysis revealed that d achieved the highest area-under-the-curve (AUC) values of 0.69 and 0.72 in differentiating HER-2 and LN status, while ADC50Hz performed best in differentiating ER and PR status with AUC of 0.71 and 0.77, respectively.

Pathological validation
Automated segmentation of H&E provided quantifiable cell parameters (Figure 3a). We found a significant correlation (r=0.87,p=0.02) between dfit and dpathology in the high-frequency group (Figure3b) but no correlation (r=0.08,p=0.88) in the low-frequency group (Figure3c). No significant correlation existed between fin,fit and fin,pathology.

Discussion and Conclusion

This study demonstrated that the dMRI acquisition high-oscillating-frequency (50 Hz) outperformed that with 33Hz and also important of sufficient SNR for accurate microstructural mapping, indicating the importance of using high gradient performance scanner in time-dependent dMRI. Moreover, for the first time, we demonstrated the feasibility of oscillating gradient dMRI-based microstructural mapping in distinguishing breast tumor status clinically. Results indicate that HER2(+)/HER2(-) and LN(+)/LN(-) can be differentiated using diameter index, in agreement with the increased cell size in HER-2 overexpressing breast tumors [16]. We also determined that ADC was lower in ER and PR positive cases.

Acknowledgements

Ministry of Science and Technology of the People’s Republic of China (2018YFE0114600), National Natural Science Foundation of China (61801424, 81971606, 82122032), and Science and Technology Department of Zhejiang Province (202006140)

References

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Figures

Figure1. Fitting Errors in d and fin based on Monte-Carlo simulation. Gaussian white noise with different SNR(20,50,100) was added using MATLAB. The high-frequency group better estimated d while the lower frequency group better estimated fin. Both groups had better estimation of d than fin. The error bars represent the 95%CI.

Figure2. Maps of tumor microstructural properties fitted with IMPULSED model and ADC at each diffusion-time. We selected six representative cases with positive and negative status for each of the hormone receptors (pt.1 and pt. 2), LN (pt.3 and pt.4), and HER2 (pt.5 and pt.6).

ADC, apparent diffusion coefficient; ER, estrogen receptor; PR, progesterone receptor; HER, human epidermal growth factor receptor; LN, lymph node; d, diameter; fin, intracellular fraction; Dex, extracellular diffusivity.


Figure3. (a) Raw (left) and segmented (right) H&E stained pathological sections of breast tumor region, nuclei are labelled in green. (b) Correlation between dfit and dpathology. In the high-frequency group (left), dfit and dpathology show a strong correlation while in the lower frequency group (right) the correlation was not significant. (c) No significant correlation was found between fin,fit and fin,pathology in both groups.

Figure4. Group comparison of microstructural properties between different biomarker statuses. (a) In the higher frequency group, d were significantly higher in HER2(+) and LN(+) cases, whereas Dex and ADC were significantly lower in ER(+) and PR(+) cases. (b) In the lower frequency group, only fin, Dex, and ADC had significant differences in PR(+) and PR(-).

f, frequency; OG, oscillating gradient; PG, pulsed gradient.


Figure5. Correlation between microstructural properties and PGSE-ADC. There was a strong negative correlation between fin and ADC and a strong positive correlation between Dex and ADC, while no correlation between cell size and ADC was found.

Proc. Intl. Soc. Mag. Reson. Med. 30 (2022)
3691
DOI: https://doi.org/10.58530/2022/3691