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Comparison of MR cytometry methods in predicting immunohistochemical factor status and molecular subtypes of breast cancer

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06. Aug. 2025

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COVER HERUNTERLADEN

Introduction

Breast cancer stands as one of the most prevalent malignant diseases affecting women, with its incidence and mortality rates rising annually.1 There are significant differences in terms of malignancy, therapeutic strategies and prognosis across breast cancers with different molecular subtypes.24 Accurate subtype identification is crucial for developing personalized treatment plans for individual patients to reduce mortality and improve prognosis.5 Currently, the categorization of breast cancers usually depends on multiple biomarkers from pathological immunohistochemistry (IHC) examinations, and the corresponding subtypes are primarily determined by invasive biopsies with the risks of oedema, bleeding, and infection.6 Furthermore, biopsy may lead to missed detection due to the limitation of a localized pathological puncture point, which cannot reflect the overall situation of the lesion.7

Imaging techniques that allow for both non-invasive and wide-area detection provide various promising approaches for the diagnosis of breast cancer.8 Among them, MRI has been widely used in breast imaging, with its advantages of high image resolution, no ionizing radiation, and multi-contrast imaging, which greatly compensates for the limitations of biopsies and provides more comprehensive information.9 Diffusion MRI (dMRI) can reveal tumor microstructures by non-invasively probing the diffusion movement of water molecules without any exogenous contrast agents. The dMRI-derived metric, apparent diffusion coefficient (ADC), has been widely used in the clinical diagnosis10 and posttreatment evaluation11 of breast cancers. However, this metric represents non-specific, averaged information influenced by several microstructural features with competing effects, reducing diagnostic sensitivity.12 A meta-analysis13 has shown that the ADC values significantly overlapped among different breast cancer subtypes.

Current ADC measurements in clinics usually adopt a single diffusion time tdiff. Over the last decade, there has been an increasing interest in obtaining ADCs with different tdiff. Because the measurement of water diffusion is dependent on tdiff, ADCs with varying probe varying length scales.14 Therefore, multiple tdiff-based ADC provide more comprehensive information on tissue microstructure. Such a technique is usually termed time-dependent diffusion MRI (td-dMRI), which has been widely used in cancer imaging.15,16 However, time-dependent ADCs still represent the averaged diffusion behavior so it suffers from low specificity of tissue properties. The recently emerging technique of MR cytometry imaging1719 provides a potential approach to address the above limitation, which implements multiple-b and multiple-tdiff acquisitions, combined with multi-compartmental biophysical modeling, to decouple different microstructural parameters, such as cell diameter d, intracellular volume fraction vin, and apparent extracellular diffusivity Dex. The Imaging Microstructural Parameters Using Limited Spectrally Edited Diffusion (IMPULSED)17, a specific form of MR cytometry, incorporates both the pulsed-gradient spin-echo (PGSE) and oscillating gradient spin-echo (OGSE)20 acquisitions for a much broader diffusion time range for more comprehensive length scale information, and more importantly, it is readily achievable on 3T MRI scanners with a clinically-feasible scan time of ~6 minutes.17 For this reason, IMPULSED has been implemented in breast cancer17,21,22, prostate cancer23 and gliomas.24

Wang et al.22 have validated the diagnostic efficacy of IMPULSED17 to classify molecular subtypes of breast cancer. Despite the successful applications, IMPULSED assumes tumor cells as impermeable spheres (without transcytolemmal water exchange), so that dMRI signals from intra-and extracellular compartments are independent of each other, thus greatly simplifying biophysical modeling.17,25,26 However, neglecting transcytolemmal water exchange will lead to a significant underestimation of intracellular volume fractions and cellularity from MR cytometry.27 On the other hand, the water exchange rate is highly correlated with the cell membrane permeability, which can reflect pathological changes within tumors.12,28 To obtain this important biophysical information, several methods have been proposed recently, such as JOINT18 and EXCHANGE.19 This prospective study is the first to evaluate the efficacy of JOINT and EXCHANGE, which incorporated transcytolemmal water exchange into biophysical modeling, in predicting IHC factor status and molecular subtypes of breast cancer. We compared these methods with time-dependent ADC measurements and IMPULSED.

Patients and methods
Patients

This study was approved by the institution review board of the local hospital. A total of 96 patients with breast cancer who underwent MRI from May 2023 to April 2024 were prospectively collected, with the inclusion criteria as follows: (1) unilateral lesions with a diameter >1 cm; (2) no prior treatment for any breast disease before the MRI examination, including biopsy, neoadjuvant therapy, and other anti-tumor treatments; (3) complete clinical pathological data available after the MRI examination. Six of ninety-six cases were excluded due to failure in fat suppression (n = 3), motion artifacts (n = 2) and multi-focal lesions (n = 1).

dMRI acquisition

Breast dMRI acquisitions were conducted on a 3T MR scanner with a maximum gradient amplitude of 80 mT/m and a maximum slew rate of 200 T/m/s (MAGNETOM Prisma, Siemens Healthineers, Forchheim, Germany). A dedicated 16-channel phased-array breast coil was employed. A combined acquisition protocol lasting 6 minutes was used to obtain diffusion images with different diffusion times, which included the PGSE (effective diffusion time td = 70ms), OGSE 25Hz (td = 5ms) and OGSE 50 Hz (td = 5ms) sequences. Detailed acquisition information is demonstrated in Supplementary Appendix 1.

Histopathological examinations

Immunohistochemistry and fluorescence in situ hybridization (FISH) were performed on each participant followed by MRI examination. According to the obtained status (positive or negative) of Estrogen Receptor (ER), Progesterone Receptor (PR), Human Epidermal Growth Factor Receptor-2 (HER2) and proliferation marker (Ki67), the lesions were classified into Luminal A, Luminal B, HER2-enriched and Triple-Negative Breast Cancer (TNBC) subtypes (Supplementary Appendix 2).

Data analysis

Three MR cytometry methods were used to fit microstructural parameters from the acquired dMRI signals: IMPULSED, JOINT and EXCHANGE, please refer to Supplementary Materials for more details. There are four free parameters in IMPULSED, including intracellular volume fraction vin, cell diameter d, intracellular intrinsic diffusivity Din, and apparent extracellular diffusivity Dex. For JOINT and EXCHANGE, water exchange rate constant kin was introduced as an additional free parameter. Din was fixed as 1.56 μm2/ms to stabilize the fitting procedure, and the number of free parameters remains four: vin, d, Dex and kin. Cellularity was calculated as. 2(3vin/2π · 100)2/3/d2.28 The data fitting platform, MATI29, was used to solve the microstructural parameters. The details of these MR cytometry methods can be found in Supplementary Appendix 3.

For the conventional td-dMRI measurements, ADC values at each sequence were obtained by fitting the multi-b signals to S = exp(–b · ADC). Besides, ΔADC was calculated as (ADC50Hz – ADCPGSE) to quantify the change of ADC with diffusion time.

Regions of interest (ROIs) were manually drawn on the diffusion-weighted images by radiologists L. W. and H. B. (with six years of experience), who were blinded to the final pathological results. Surrounding fatty, muscle, cystic, hemorrhagic and necrotic tissues were carefully excluded from the ROIs. The time-dependent ADC metrics and model-fitted microstructural parameters were calculated within each voxel and then averaged over the whole ROI.

Statistical analysis

Statistical analysis methods varied by grouping strategies.

Grouping by IHC factors

There are four binary classification tasks, i.e. ER(+) vs. ER(-), PR(+) vs. PR(-), HER2(+) vs. HER2(-) and Ki67(+) vs. Ki67(-). The differences of each metric were evaluated by the rank-sum test (Mann-Whitney U test). The performance in predicting IHC factors were evaluated by logistic regression models in SSPS (Chicago, IL). The area under the receiver operating characteristic (ROC) curve (AUC) was calculated to quantify the predictive efficacy. The classifiers combining different parameters were also evaluated, specifically, (ADCPGSE, ADC25Hz, ADC50Hz, ΔADC) for ADC metrics, (d, vin, Dex, Din, cellularity) for IMPULSED, and (d, vin, kin, Dex, cellularity) for JOINT and EXCHANGE.

Grouping by molecular subtypes

This is a four-class classification task, i.e. Luminal A vs Luminal B vs. TNBC vs. HER2-enriched subtypes. Kruskal-Wallis one-way analysis of variance was used to evaluate the significance of differences in imaging metrics among the four molecular subtypes. Logistic regression analyses was also performed to identify each subtype. Four ROC curves and AUC values were obtained for each metric or their combinations.

Results
Patient characteristics

A total of 90 patients with 90 lesions were included in this prospective study. Among these, 26 cases were Luminal A subtype, 38 cases were Luminal B subtype, 8 cases were HER2-enriched subtype, and 18 cases were TNBC subtype. The patient information and lesion characteristics are summarized in Table 1.

Patient information and lesion characteristics

Characteristics Luminal A (n = 26) Luminal B (n = 38) TNBC (n = 18) HER2-enriched (n = 8)
Age(years) 55.11 ± 8.52 51.16 ± 11.01 52.89 ± 8.45 51.00 ± 9.04
Tumor size(mm) 27.65 ± 6.93 27.37 ± 8.25 27.83 ± 9.93 24.50 ± 6.35
Menstruation state
 Premenopausal women 11 17 5 3
 Postmenopausal women 15 21 13 5
Tumor border
 Well-defined 9 10 8 4
 ill-defined 17 28 10 4
Tumor sharp
 Oval or round 21 32 11 3
 Irregular 5 6 7 5
ER status
 Positive 26 38 0 0
 Negative 0 0 18 8
PR status
 Positive 24 29 0 0
 Negative 2 9 18 8
HER2 status
 Positive 0 13 0 8
 Negative 26 25 18 0
Ki67 status
 Positive 3 27 16 6
 Negative 23 11 2 2

ER = estrogen receptor; HER2 = human epidermal growth factor receptor 2; Ki67 = nuclear associated antigen; PR = progesterone receptor; TNBC = triple-negative breast cancer

Microstructural feature mapping of breast tumors

Supplementary Figure 1 shows the PGSE and OGSE diffusion-weighted images for a representative patient (Luminal B subtype). The lesion conspicuity is acceptable. Figure 1 shows the ADC metrics and microstructural parameter maps for five representative breast cancer patients with different IHC factor status and molecular subtypes. The overall ADC values decreased with longer diffusion time, i.e. ADCPGSE < ADC25Hz < ADC50Hz. As shown in the red boxes, the lower ADC and kin, higher ΔADC and vin were observed in the ER(+)/PR(+) case compared to the negative case. Besides, d was found to be larger in the HER2(+) case. As indicated by the yellow box, higher cellularity was observed in the Ki67(+) case.

FIGURE 1.

The ADC and microstructural maps overlaid on b = 1000 s/mm2 diffusion-weighted images of five representative breast cancer patients.

ADC = apparent diffusion coefficient; ER = estrogen receptor; d = diameter; Dex = apparent extracellular diffusivity; Din = intracellular intrinsic diffusivity; HER2 = human epidermal growth factor receptor 2; Ki67 = nuclear associated antigen; Kin = water exchange rate; TNBC = triple-negative breast cancer; vin = intracellular volume fraction; ΔADC = (ADC50Hz – ADCPGSE) / ADCPGSE

Intergroup comparison

Figure 2 shows the results of intergroup comparisons in the IHC factors. For td-dMRI measurements, ADCPGSE and ADC25Hz were significantly lower in ER(+) cases, and was higher (p = 0.047, 0.049 and 0.016, respectively). The PR(+) group also showed lower ADCPGSE, ADC25Hz, ADC50Hz and higher ΔADC (p = 0.002, 0.004, 0.005 and 0.002, respectively). In contrast, none ADC-related metrics were significantly different in the comparisons for HER2 and Ki67. For the MR cytometry-derived parameters, increased vin was shown in the ER(+) group for both IMPULSED and JOINT (p = 0.013 and 0.030, respectively), while the EXCHANGE-derived kin was lower (p = 0.012) and the IMPULSED-derived cellularity was higher (p = 0.027). For PR, the fitted vin was also higher in the positive group for all three MR cytometry methods (p = 0.003, 0.006 and 0.006, respectively).Additionally, the EXCHANGE-derived and were lower (p = 0.047 and 0.022, respectively) and the IMPULSED-derived cellularity was higher (p = 0.027) in the PR(+) group. For HER2, the diameters were larger in the positive group, with p = 0.035 for IMPULSED, p = 0.006 for JOINT, and p = 0.038 for EXCHANGE. For Ki67, all three methods obtained lower cellularity (p = 0.029, 0.037 and 0.037, respectively) in the positive group, while the EXCHANGE-derived was higher (p = 0.026).

FIGURE 2.

Intergroup comparison of td-MRI metrics and microstructural parameters respectively fitted from IMPULSED, JOINT and EXCHANGE between positive and negative immunohistochemical factor status.

* = p < 0.05, ** = p < 0.01. + represents outliers

Table 2 shows the results of intergroup comparisons across the four molecular subtypes. The cell diameter was the only metric that showed significant difference across the four breast cancer molecular subtypes (p = 0.038, 0.031 and 0.025 for IMPULSED, JOINT and EXCHANGE, respectively). This microstructural parameter was found to be the highest in HER2-enriched subtype and lowest in Luminal A subtype.

The intergroup comparison for the imaging metrics across four breast cancer molecular subtypes

Model Parameter TNBC Median (IQR) HER2-enriched Median (IQR) Luminal A Median (IQR) Luminal B Median (IQR) p
td-dMRI ADCPGSE 0.85 (0.49) 0.90 (0.25) 0.74 (0.25) 0.81 (0.25) 0.106
ADC25Hz 1.10 (0.51) 1.21 (0.31) 1.03 (0.19) 1.08 (0.22) 0.055
ADC50Hz 1.44 (0.52) 1.53 (0.26) 1.38 (0.18) 1.38 (0.18) 0.071
ΔADC 0.73 (0.38) 0.66 (0.29) 0.81 (0.41) 0.83 (0.42) 0.075
IMPULSE d 15.00 (1.73) 16.16 (1.85) 14.79 (1.33) 14.96 (1.07) 0.038
Vin 0.38 (0.13) 0.37 (0.07) 0.42 (0.13) 0.41 (0.09) 0.063
Dex 1.91 (0.54) 2.08 (0.28) 2.02 (0.24) 1.95 (0.32) 0.712
Din 2.09 (0.20) 2.15 (0.08) 2.07 (0.31) 2.05 (0.21) 0.598
Cellularity 0.074 (0.03) 0.058 (0.03) 0.078 (0.05) 0.075 (0.03) 0.071
JOIN d 15.73 (1.57) 17.17 (2.09) 15.65 (2.02) 16.05 (1.42) 0.031
vin 0.51 (0.15) 0.51 (0.09) 0.54 (0.09) 0.55 (0.07) 0.144
kin 18.12 (6.66) 16.38 (2.89) 15.68 (6.75) 16.74 (5.09) 0.374
Dex 2.35 (0.41) 2.54 (0.22) 2.40 (0.26) 2.37 (0.32) 0.596
Cellularity 0.081 (0.04) 0.063 (0.03) 0.083 (0.06) 0.082 (0.03) 0.114
EXCHANGE d 13.91 (1.31) 15.07 (1.79) 13.67 (1.20) 13.94 (1.07) 0.025
vin 0.58 (0.10) 0.58 (0.07) 0.58 (0.05) 0.59 (0.05) 0.280
kin 8.12 (5.50) 7.00 (3.44) 6.70 (3.9) 6.67 (2.2) 0.061
Dex 2.30 (0.45) 2.52 (0.20) 2.36 (0.31) 2.30 (0.34) 0.442
Cellularity 0.12 (0.03) 0.09 (0.03) 0.12 (0.08) 0.12 (0.03) 0.053

The numbers in bold represent there is a significant difference across four molecular subtypes.

ADC = apparent diffusion coefficient; ER = estrogen receptor; d = diameter; Dex = apparent extracellular diffusivity; Din = intracellular intrinsic diffusivity; HER2 = human epidermal growth factor receptor 2; IQR = Interquartile Range; kin = water exchange rate; TNBC = triple-negative breast cancer; vin = intracellular volume fraction; ΔADC = (ADC50Hz – ADCPGSE) / ADCPGSE

Predicting immunohistochemistry (IHC) factor status and molecular subtypes

Table 3 shows the AUC values for the prediction of IHC factor status. For ER, EXCHANGE-derived kin provided the highest AUC of 0.666 (95% CI, 0.552, 0.781; p = 0.012) among the classifiers based on a single imaging metric. By combining multiple microstructural parameters, IMPULSED can improve the AUC to 0.744 (95% CI, 0.641, 0.846; p < 0.001). For PR, the highest AUCs based on a single metric and combined regression model were 0.694 (ΔADC, 95% CI, 0.583, 0.806; p = 0.002) and 0.727 (EXCHANGE, 95% CI, 0.620, 0.835, p < 0.001), respectively. For HER2, the above two highest AUCs were 0.697 (JOINT-derived, 95% CI, 0.567, 0.827, p = 0.006) and 0.734 (JOINT, 95% CI, 0.601, 0.867, p = 0.001). For Ki67, they were 0.640 (EXCHANGE-derived, 95% CI, 0.525, 0.755, p = 0.026) and 0.679 (EXCHANGE,95% CI, 0.565, 0.793, p = 0.005). In Figure 3, each sub-plot shows the performance in predicting the status of a specific IHC factor. In each sub-plot, the four curves respectively correspond to: the classifier with the highest AUC based on a single td-dM-RI metric (ADCPGSE, ADC25Hz, ADC50Hz or ΔADC), the classifier based on the combination of all td-dMRI metrics, the classifier with the highest AUC based on a single model-fitted microstructural parameter (vin, d, kin, Dex or Din obtained from IMPULSED, JOINT, or EXCHANGE), the classifier based on the combination of all parameters obtained from a specific MR cytometry method (IMPULSED, JOINT, or EXCHANGE) that provided the highest combined AUC.

FIGURE 3.

The performance of derived parameters in predicting immunohistochemistry (IHC) factor status. In each sub-plot, the four curves respectively correspond to: the classifier with the highest AUC based on a single td-dMRI metric (ADCPSGE, ADC25Hz, ADC50Hzor ΔADC), the classifier based on the combination of all td-dMRI metrics, the classifier with the highest AUC based on a single model-fitted microstructural parameter (vin, d, kin, Dex or Din obtained from IMPULSED, JOINT, or EXCHANGE), the classifier based on the combination of all parameters obtained from a specific MR cytometry method (IMPULSED, JOINT, or EXCHANGE) that provided the highest combined AUC. (A) ER; (B) PR; (C) HER2; (D) Ki67. The numbers within the parentheses in the legend represent the AUC of the corresponding parameters.

ADC = apparent diffusion coefficient; ER = estrogen receptor; d = diameter; Dex = apparent extracellular diffusivity; Din = intracellular intrinsic diffusivity; HER2 = human epidermal growth factor receptor 2; Ki67 = nuclear associated antigen; kin = water exchange rate; PR = progesterone receptor; vin = intracellular volume fraction

The diagnostic performance of imaging metrics for the prediction of immunohistochemistry (IHC) factor status

Model Parameter AUC (ER) AUC (PR) AUC (HER2) AUC (Ki67)
td-dMRI ADCPGSE 0.631 (0.508, 0.755) 0.693 (0.584, 0.803) 0.594 (0.470, 0.718) 0.553 (0.427, 0.678)
ADC25Hz 0.630 (0.508, 0.752) 0.682 (0.571, 0.793) 0.639 (0.055, 0.767) 0.580 (0.458, 0.702)
ADC50Hz 0.624 (0.493, 0.755) 0.674 (0.560, 0.788) 0.627 (0.500, 0.755) 0.571 (0.449, 0.693)
ΔADC 0.660 (0.540, 0.779) 0.694 (0.583, 0.806) 0.468 (0.328, 0.608) 0.496 (0.369, 0.623)
Combined 0.645 (0.522, 0.768) 0.688 (0.576, 0.800) 0.623 (0.476, 0.770) 0.633 (0.516, 0.750)
IMPULSED d 0.590 (0.454, 0.726) 0.621 (0.501, 0.742) 0.652 (0.512, 0.793) 0.612 (0.494, 0.730)
Vin 0.664 (0.550, 0.779) 0.686 (0.576, 0.796) 0.554 (0.433, 0.675) 0.545 (0.419, 0.670)
Dex 0.529 (0.389, 0.669) 0.587 (0.461, 0.714) 0.518 (0.337, 0.659) 0.558 (0.438, 0.679)
Din 0.540 (0.407, 0.673) 0.595 (0.473, 0.716) 0.567 (0.433, 0.700) 0.524 (0.399, 0.649)
Cellularity 0.646 (0.521, 0.771) 0.638 (0.519, 0.758) 0.567 (0.426, 0.708) 0.638 (0.521, 0.754)
Combined 0.744 (0.641, 0.846) 0.705 (0.597, 0.813) 0.689 (0.552, 0.826) 0.646 (0.532, 0.760)
JOIN d 0.575 (0.443, 0.707) 0.601 (0.481, 0.721) 0.697 (0.567, 0.827) 0.595 (0.476, 0.714)
vin 0.643 (0.523, 0.764) 0.673 (0.559, 0.787) 0.453 (0.330, 0.577) 0.517 (0.394, 0.641)
kin 0.623 (0.507, 0.740) 0.535 (0.415, 0.655) 0.459 (0.335, 0.583) 0.520 (0.392, 0.649)
Dex 0.487 (0.351, 0.623) 0.601 (0.478, 0.724) 0.536 (0.399, 0.673) 0.524 (0.403, 0.646)
Cellularity 0.619 (0.490, 0.747) 0.613 (0.491, 0.736) 0.577 (0.438, 0.716) 0.632 (0.513, 0.750)
Combined 0.731 (0.625, 0.837) 0.718 (0.609, 0.827) 0.734 (0.601, 0.867) 0.666 (0.552, 0.781)
EXCHANGE d 0.584 (0.450, 0.718) 0.624 (0.504, 0.744) 0.650 (0.510, 0.790) 0.640 (0.525, 0.755)
vin 0.596 (0.466, 0.725) 0.671 (0.555, 0.788) 0.511 (0.380, 0.642) 0.466 (0.343, 0.590)
kin 0.666 (0.552, 0.781) 0.643 (0.526, 0.760) 0.528 (0.407, 0.650) 0.547 (0.420, 0.675)
Dex 0.521 (0.382, 0.661) 0.608 (0.483, 0.732) 0.562 (0.424, 0.699) 0.522 (0.401, 0.643)
Cellularity 0.618 (0.490, 0.745) 0.617 (0.496, 0.739) 0.594 (0.445, 0.732) 0.632 (0.515, 0.748)
Combined 0.725 (0.610, 0.839) 0.727 (0.620, 0.835) 0.668 (0.542, 0.794) 0.679 (0.565, 0.793)

AUC values are presented as mean (bootstrapped 95% CIs). The numbers in bold represent the highest AUC values respectively achieved by the single-variable regression model and multi-variable (combined) regression model. In the combined model, all the parameters obtained by each method was included.

ADC = apparent diffusion coefficient; d = diameter; Dex = apparent extracellular diffusivity; Din = intracellular intrinsic diffusivity; ER = estrogen receptor; HER2 = human epidermal growth factor receptor 2; Ki67 = nuclear associated antigen; Kin = water exchange rate; PR = progesterone receptor; Vin = intracellular volume fraction; ΔADC = (ADC50Hz – ADCPGSE) / ADCPGSE

Table 4 shows the AUC values for the prediction of molecular subtypes of breast cancers. For TNBC, EXCHANGE-derived kin provided the highest AUC of 0.696 (95% CI, 0.561, 0.831, p = 0.01) among the classifiers based on a single imaging metric. Combining other microstructural parameters improved the AUC to 0.751 (95% CI, 0.633, 0.869, p = 0.001). For HER2-enriched, the highest AUCs based on a single metric and combined model were 0.809 (JOINT-derived d, 95% CI, 0.675, 0.944, p = 0.004) and 0.819 (JOINT, 95% CI, 0.657, 0.980, p = 0.003). For Luminal A, the above two values were 0.638 (EXCHANGE-derived, 95% CI, 0.513, 0.764, p = 0.041) and 0.730 (EXCHANGE, 95% CI, 0.616, 0.843, p = 0.001). For Luminal B, they are 0.622 (ΔADC, 95%CI, 0.506, 0.738, p = 0.049) and 0.633 (EXCHANGE, 95% CI, 0.518, 0.748, p = 0.032). In Figure 4, each subplot shows the performance in predicting a specific molecular subtype. The representative ROC curves are selecteDin the same way as in Figure 3.

FIGURE 4.

The performance of derived parameters in predicting breast cancer molecular subtypes. In each sub-plot, the four curves respectively correspond to: the classifier with the highest AUC based on a single td-dMRI metric (ADCPSGE, ADC25Hz, ADC50Hz or ΔADC), the classifier based on the combination of all td-dMRI metrics, the classifier with the highest AUC based on a single model-fitted microstructural parameter (vin, d, kin, Dex or Din obtained from IMPULSED, JOINT, or EXCHANGE), the classifier based on the combination of all parameters obtained from a specific MR cytometry method (IMPULSED, JOINT, or EXCHANGE) that provided the highest combined AUC. (A) TNBC; (B) HER2-enriched; (C) Luminal A; (D) Luminal B. The numbers within the parentheses in the legend represent the AUC of the corresponding parameters.

ADC = apparent diffusion coefficient; AUC = area under the receiver operating characteristic curve; TNBC = triple-negative breast cancer; d = diameter; Dex = apparent extracellular diffusivity; Din = intracellular intrinsic diffusivity; Kin = water exchange rate; PR = progesterone receptor; Vin = intracellular volume fraction

The diagnostic performance of imaging metrics for the prediction of molecular subtypes

Model Parameter AUC (TNBC) AUC (HER2- enriched) AUC (Luminal A) AUC (Luminal B)
ADC ADCPGSE 0.617 (0.470, 0.763) 0.681 (0.519, 0.844) 0.570 (0.438, 0.703) 0.577 (0.458, 0.697)
ADC25Hz 0.518 (0.435, 0.727) 0.745 (0.614, 0.877) 0.600 (0.470, 0.729) 0.551 (0.429, 0.672)
ADC50Hz 0.575 (0.411, 0.739) 0.744 (0.624, 0.863) 0.576 (0.449, 0.703) 0.566 (0.446, 0.686)
ΔADC 0.648 (0.511, 0.785) 0.360 (0.141, 0.579) 0.474 (0.340, 0.609) 0.622 (0.506, 0.738)
Combined 0.644 (0.501, 0.786) 0.765 (0.623, 0.907) 0.659 (0.538, 0.781) 0.633 (0.517, 0.748)
IMPULSED d 0.519 (0.316, 0.676) 0.784 (0.609, 0.958) 0.614 (0.487, 0.741) 0.490 (0.370, 0.610)
Vin 0.657 (0.522, 0.793) 0.651 (0.489, 0.813) 0.572 (0.433, 0.711) 0.593 (0.475, 0.710)
Dex 0.537 (0.367, 0.707) 0.582 (0.375, 0.790) 0.565 (0.445, 0.684) 0.558 (0.436, 0.680)
Din 0.507 (0.348, 0.666) 0.622 (0.468, 0.776) 0.514 (0.376, 0.653) 0.533 (0.412, 0.654)
Cellularity 0.593 (0.447, 0.738) 0.720 (0.503, 0.936) 0.606 (0.474, 0.737) 0.455 (0.336, 0.574)
Combined 0.748 (0.629, 0.868) 0.739 (0.531, 0.947) 0.666 (0.544, 0.789) 0.630 (0.513, 0.747)
JOIN d 0.519 (0.367, 0.671) 0.809 (0.675, 0.944) 0.590 (0.460, 0.719) 0.515 (0.394, 0.635)
vin 0.644 (0.496, 0.791) 0.611 (0.438, 0.785) 0.545 (0.412, 0.678) 0.593 (0.475, 0.712)
kin 0.630 (0.489, 0.772) 0.486 (0.349, 0.624) 0.558 (0.414, 0.701) 0.541 (0.420, 0.663)
Dex 0.521 (0.363, 0.679) 0.642 (0.438, 0.845) 0.507 (0.383, 0.631) 0.539 (0.417, 0.662)
Cellularity 0.549 (0.396, 0.703) 0.733 (0.537, 0.929) 0.584 (0.450, 0.718) 0.461 (0.342, 0.580)
Combined 0.742 (0.616, 0.869) 0.819 (0.657, 0.980) 0.648 (0.525, 0.770) 0.609 (0.492, 0.727)
EXCHANGE d 0.509 (0.357, 0.661) 0.784 (0.602, 0.965) 0.638 (0.513, 0.764) 0.516 (0.396, 0.636)
vin 0.627 (0.477, 0.778) 0.532 (0.309, 0.755) 0.492 (0.364, 0.621) 0.601 (0.481, 0.721)
kin 0.696 (0.561, 0.831) 0.459 (0.299, 0.618) 0.543 (0.402, 0.684) 0.606 (0.489, 0.723)
Dex 0.478 (0.313,0.644) 0.666 (0.468, 0.865) 0.514 (0.390, 0.637) 0.553 (0.431, 0.674)
Cellularity 0.542 (0.393, 0.692) 0.756 (0.559, 0.953) 0.620 (0.490, 0.750) 0.488 (0.368, 0.608)
Combined 0.751 (0.633, 0.869) 0.784 (0.598, 0.969) 0.730 (0.616, 0.843) 0.633 (0.518, 0.748)

AUC values are presented as mean (bootstrapped 95% CIs). The numbers in bold represent the highest AUC values respectively achieved by the single-variable regression model and multi-variable (combined) regression model. In the combined model, all the parameters obtained by each method was included.

ADC = apparent diffusion coefficient; d = diameter; Dex = apparent extracellular diffusivity; Din = intracellular intrinsic diffusivity; Kin = water exchange rate; PR = progesterone receptor; TNBC = triple-negative breast cancer; Vin = intracellular volume fraction; ΔADC = (ADC50Hz – ADCPGSE) / ADCPGSE

Discussion

Determining the IHC factor status and molecular subtypes of breast cancer is an important reference for the development of appropriate clinical treatment regimes. The dMRI-derived ADC metrics have shown potential in the prediction of the IHC factor status and molecular subtypes10, without the injection of contrast agents in DCE MRI. However, the results of previous studies are controversial. Several publications10,30,31 reported that the ADC values were lower in ER(+) and PR(+) breast cancers, whereas Park et al.32 showed no significant differences in ADC values between ER(+) and ER(-), as well as PR(+) and PR(-). Besides, some studies3033 demonstrated the higher ADC in the HER2(+) group, whereas others have shown the opposite results34 or no significant difference.35 For Ki67, the conclusion also remains uncertain. Shen et al.36 found that the ADC metrics decreased with higher Ki-67 labeling index, while other findings33,37 showed that there was no significant difference between high and low Ki67 expression. Some advanced methods, such as intra-voxel incoherent motion (IVIM) imaging38,39 and diffusionkurtosis imaging (DKI)39, can improve the efficacy to distinguish the status of ER and PR, but failed to differentiate HER2 and Ki67. Recently, Lima et al.40 utilized time-dependent ADC measurements obtained by PGSE and OGSE to characterize breast cancer based on IHC markers. Furthermore, Ba et al.21 and Wang et al.22 have implemented the emerging MR cytometry method IMPULSED to extract quantitative microstructural information of breast tumors, and the derived parameters has been shown to be effective in the prediction of IHC factor status, molecular subtypes and treatment response to neoadjuvant chemotherapy. However, the biophyscial model used in IMPULSED neglected transcytolemmal water exchange, resulting in the underestimation of vin and unavailability of membrane permeability.27 This study investigated the efficacy of the MR cytometry methods that incorporate water exchange in predicting IHC factor status and molecular subtypes. The systematic comparisons between the different MR cytometry methods and the td-dMRI measurements provide guidance for clinical application of MR cytometry.

In this study, the lower ADCPGSE and ADC25Hz values and higher ΔADC were observed in the ER(+) group compared to ER(-), similarly, all three ADC metrics were lower and ΔADC values were higher in the PR(+) group, which are consistent with the previous results.30,31,40 Some studies40,41 suggested that the lower ADC values for ER(+) and PR(+) may be due to lower cell membrane permeability, which has been reflected in the results of microstructural parameters, the EXCHANGE-derived transcytolemmal water exchange rate constant kin was lower in the ER(+) and PR(+) groups, indicating lower membrane permeability. In addition, the IMPULSED and JOINT-derived vin was larger in the ER(+) group, and all three quantitative methods-derived vin was larger in the PR(+) group, which may be related to the increased pathological cellularity with ER or PR overexpression in breast tumors.42 For the intergroup comparison between HER2(+) and HER2(-), there was no significant difference in ADC-related metrics, this may be due to the fact that HER2 overexpression leads to both increased cell proliferation and angiogenesis, whereas they have opposite impacts on ADC values.30 However, the cell diameter d obtained from all three MR cytometry methods was significantly larger in the HER2(+) group, which was consistent with the pathological finding that HER2-overexpressing breast cancer has increased cell size.43 Finally, for the prediction of Ki67 factor, only cellularity and the EXCHANGE-derived showed significant difference, but we are still unclear about the reasons behind this. On the other hand, for different molecular subtypes, the model-fitted values were the only metrics exhibiting significant difference among these subtypes. Larger d was observed in HER2-enriched subtype compared to non-HER2-enriched subtype, which may be attributed to the HER2 overexpression (larger in the HER(+) group).

In this study, we also systemically compared the diagnosis performance of three MR cytometry methods in predicting IHC factor status and molecular subtypes. For the classifiers based on a single metric, provided the highest AUC in the prediction of PR status and Luminal B subtype; JOINT obtained the highest AUC in predicting HER2 status and HER2-enriched subtype; EXCHANGE performed best in predicting ER, Ki67 status, TNBC and Luminal A subtypes. For the classifiers based on the combined regression model, IMPULSED provided the highest AUC in predicting ER status; JOINT obtained the highest AUC in the prediction of HER2 status and HER2-enriched subtype; EXCHANGE achieved the highest AUC in the prediction of PR status, Ki67 status, TNBC, Luminal A and Luminal B subtypes. The above results show that MR cytometry methods may provide better diagnostic efficacy in the prediction of IHC factor status and molecular subtypes, compared to traditional td-dMRI measurements. Meanwhile, the MR cytometry methods incorporating water exchange (JOINT and EXCHANGE) improved the diagnostic efficacy compared to IMPULSED (except for ER status). Although previous numerical simulation and in vitro cell experiments18,19 demonstrated that JOINT and EXCHANGE, which incorporated water exchange, obtained more accurate estimation of vin and an additional biophysical parameter kin, our study found only minor improvements in breast cancer subtyping when water exchange is incorporate into MR cytometry. Thus, while it is desirable to incorporate such objective biophysical phenomena into the biophysical model, improved model accuracy does not necessarily translate into superior clinical diagnostic performance.

There are several limitations in this study. First, the data were collecte in a single center with limited sample size, especially the HER2-enriched subtype. It is necessary to include more breast cancer patients from multiple hospitals or institutions and validate the results more comprehensively. Second, our study lacks the correlation analysis between the MR cytometry-derived parameters and histopathological results. Such analysis will provide more reliable validation on the imaging results and more comprehensive comparisons between the quantitative methods which will be includeDin our future work. Third, the b values of the OGSE sequence with 50Hz were relatively low (≤500s/mm2) due to the limitations of gradient performance. Despite our best efforts to eliminate the impact of IVIM before model fitting, molecular markers of angiogenesis such as micro-vessel density44 still introduce bias in the estimation of microstructural parameters, especially when using low b values. Fortunately, the modern whole-body ultra-high-performance gradients can provide higher b values for high-frequency OGSE when PNS allows. Fourth, each imaging metric was averaged across the whole ROI, which lost the information of spatial heterogeneity within breast tumors. Surviving cells, dead cells and necrotic regions may co-exist in each ROI. This spatial heterogeneity can be captured by histogram analysis.38

In summary, this study was the first to evaluate the clinical performance of MR cytometry incorporating water exchange in predicting IHC factor status and molecular subtypes of breast cancer, and comprehensively compared the derived microstructural parameters obtained and conventional td-dMRI metrics. Our results showed that advanced MR cytometry outperformed traditional ADC measurements. Incorporating water exchange into MR cytometry methods further improved the diagnosis performance. Specifically, the results based on the multi-variable regression models showed that: IMPULSED performed best in predicting ER status; JOINT was more suitable for predicting HER2 status and HER2-enriched subtype; EXCHANGE can provide the highest AUC in predicting PR and Ki67 status, TNBC, Luminal A and Luminal B subtypes.

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