Introduction

To measure tissue perfusion non-invasively, various perfusion imaging techniques are used including dynamic contrast-enhanced magnetic resonance imaging (DCE-MRI) [1,2,3]. However, DCE-MRI has been limitedly utilized in the evaluation of liver parenchyma and liver tumors [4,5,6]. It is because that DCE-MRI requires high temporal resolution to trace dynamic changes in tissue signal intensity and vascular enhancement peak [7, 8]. To achieve high temporal resolution, spatial resolution and image quality are often compromised. Moreover, data are often contaminated by motion artifact in liver imaging. Thus, DCE-MRI is often unable to provide the requisite diagnostic image quality for clinical purpose. As a result, patients need to undergo contrast-enhanced MRI twice to obtain functional information additionally, which is cumbersome for the patients and the workflow in the hospital. If we are able to obtain morphologic imaging and measure liver perfusion simultaneously, it would be helpful implementing DCE-MRI in clinical practice.

Golden-angle radial sparse parallel (GRASP) MRI is a technique which combines parallel imaging, radial acquisition, and compressed sensing [9]. It speeds up the scan time by using compressed sensing and parallel imaging concurrently, and it is less sensitive to motion owing to its radial acquisition scheme [10]. Furthermore, its golden-angle sampling schemes afford flexibility in the temporal resolution which in turn permits retrospective reconstruction of image series at different temporal resolutions from a single acquisition dataset [11]. Therefore, the purpose of our study is to evaluate liver perfusion and morphology simultaneously at GRASP DCE-MRI in patients with hepatic fibrosis.

Materials and methods

This prospective study was performed after approval by our Institutional Review Board, and written informed consent was obtained from all participants (NCT02480972).

From June 2015 to September 2016, participants who met the following eligibility criteria were enrolled: they (a) had liver cirrhosis or chronic viral hepatitis or (b) were living liver donor candidates, and (c) were scheduled for liver biopsy, resection, or transplantation, and (d) had signed informed consent. The exclusion criteria were as follows: (a) being younger than 18 years and (b) having absolute/relative contraindications to DCE-MRI such as having cardiac implantable electronic devices, cochlear implants, metallic fragments or prosthesis, moderate to severe degree of adverse reaction to gadolinium, acute or chronic renal failure (eGFR < 30 mL/min/1.73 m2), nursing, or pregnancy. Sex, age, underlying disease, pathology results, and laboratory findings including albumin, total bilirubin, prothrombin time, and hematocrit level were recorded. The presence or absence of esophageal varix was recorded from endoscopy within 3 months of enrollment.

MRI acquisition

All examinations were performed with a 3-T scanner (MAGNETOM Skyra, Siemens Healthineers) using a standard 48-channel phased array body coil. DCE-MRI was obtained in axial plane using GRASP as described below. Details of liver MRI are described in Supplementary information.

Participants were asked to relax and breathe regularly. A T1-weighted image (T1WI) was obtained using a prototype 3D gradient-echo GRASP MRI pulse sequence in a free-breathing manner for 60 s (406 radial spokes) and 4 min (1852 radial spokes) before and after administration of contrast media (0.1 mmol/kg, Gadovist, Bayer) at a rate of 1.5 mL/s followed by a 20-mL saline chaser. The number of slices ranged from 64 to 72, covering the whole liver. The field of view was 450 × 450 mm, with a matrix of 256 × 256, and the voxel size was 1.75 × 1.75 × 3 mm3 (Table E1).

Prototype software was used to retrospectively reconstruct the acquired GRASP k-space data at different temporal resolutions. For morphologic evaluation, images were reconstructed using 84 spokes and respiratory gating (acceptance window 0.5), corresponding to a temporal resolution of 12 s [11]. For DCE-MRI, GRASP data were reconstructed using 21 spokes which resulted in 3.3 s of temporal resolution.

Qualitative image analysis

One board-certified radiologist who did not attend the qualitative review session chose one precontrast, one arterial, one portal-venous, and one delayed phase reconstruction from the reconstructed series with a 12-s temporal resolution, considering the timing and degrees of artifacts. In addition, this radiologist evaluated the presence or absence of varices at MRI.

Three fellowship-trained abdominal radiologists (J.H.Y., M.H.Y., B.Y.H.) independently reviewed the chosen images. Motion artifacts, streak artifacts, liver edge sharpness, and overall image quality were assessed on a four-point scale with a higher score indicating better image quality. Motion and streak artifacts were assessed as follows: 1 = severe artifacts hindering the diagnostic capability, 2 = moderate artifacts with decreased image quality without diagnostic performance impairment, 3 = mild artifacts without significant image quality disturbance, and 4 = no perceivable artifacts. Liver edge sharpness was scored as follows: 1 = extreme blur, 2 = a partially indistinctive liver margin with moderate blur, 3 = slightly soft liver margin with mild blur, and 4 = clear liver margin and minimal blur. The overall image quality was assessed as follows: 1 = non-diagnostic; 2 = unsatisfactory image quality, but re-examination not required; 3 = acceptable image quality; and 4 = comparable with average breath-hold image quality. Lastly, reviewers evaluated non-cystic hepatic observations (≥ 10 mm) according to the Liver Imaging Reporting and Data System (LI-RADS) version 2018 [12]. The final LR-score was determined as the score at least two reviewers reported.

DCE-MRI analysis

DCE-MRI data of 3.3-s temporal resolution were analyzed with freely available software (PMI 04, Platform for Research in Medical Imaging) written in IDL 6.0 (ITT, Boulder) [13]. Modeling and analysis followed similar principles as previous studies [13, 14].

Arterial and portal-venous regions of interest (ROIs) were defined semi-automatically over two to four slices by thresholding a map of maximum signal enhancement followed by manual identification of the aorta and portal vein, respectively. In order to reduce the inflow effect in the arterial input function (AIF), a map of maximum signal change over time was created and an aorta ROI was selected in a slice where this was minimal. Liver ROIs were drawn manually in the periphery of the liver parenchyma, avoiding large vessels and hepatic observations over four slices by one fellowship-trained radiologist (J.H.Y.). AIF, venous input function (VIF), and tissue curves were extracted by averaging the signal values in the respective ROIs for each time point. In order to assess inter-observer agreement, another fellowship-trained radiologist (J.M.L.) performed DCE-MRI analysis in the same manner. Volumetric segmentation was also performed for treatment-naïve non-cystic observations (≥ 10 mm).

Contrast agent concentration C(t) was derived from the signal-time curves S(t), assuming a linear relation between signal and concentration:

$$ C(t)=\frac{1}{r_1{T}_{10}}\frac{S(t)-{S}_0}{S_0} $$

where S0 is the signal intensity in the precontrast phase, r1 is the relaxivity of the contrast agent (3.6/s/mmol), and T10 is the precontrast T1 [15]. For the liver, T1 was fixed to the literature value of 809 ms [16]. For arterial and venous blood, T1 values (s) were chosen as 1.0 / (0.52 Hct + 0.38) and 1.0 / (0.83 Hct + 0.28), respectively [17], where Hct is the subject-specific hematocrit. Plasma concentration for AIF and VIF was derived by dividing the blood concentrations by (1-Hct).

A delayed, dual-inlet one-compartment model was fitted to the concentrations.

$$ \frac{dC}{dt}(t)={F}_a{C}_a\left(t\right.-\left.{T}_a\right)+{F}_v{C}_v\left(t\Big)\ \right.-\frac{F_a+{F}_v}{V_e}C(t) $$

This model derives from the more general dual-inlet two-compartment uptake model by assuming the intracellular uptake rate is zero [13]. C, Ca, and Cv represent the concentrations in the tissue, aorta, and portal vein, respectively. The model is defined by three tissue parameters—arterial and venous plasma flows Fa and Fv, extracellular volume (ECV), and an arterial delay time Ta. The derived parameters are the total plasma flow (Fp = Fa + Fv), the extracellular mean transit time (MTT, Te = Ve/ Fp), and the arterial fraction (AF, fa = Fa/ Fp).

The model fit was performed using Levenberg-Marquardt least squares optimization with initial values Fa = 10 mL/min/100 mL, Fv = 40 mL/min/100 mL, and Ve = 0.2. Positivity constraints were enforced on all parameters and Ve was additionally constrained to be smaller than 1. The arterial delay time Ta was determined by repeating the fit for different values of Ta from 0 to 20 s in steps of 1 s, and we selected a value with the smallest chi-square fit error.

Histology

The specimens were fixed in a formalin-alcohol-acetic solution and were embedded in paraffin. Specimens were then cut into 4-μm-thick sections and stained with hematoxylin-eosin. The liver fibrosis stage was assessed as follows: F0, no fibrosis; F1, portal fibrosis; F2, periportal fibrosis; F3, septal fibrosis; and F4, cirrhosis [18]. Tumors were diagnosed based on morphology in hematoxylin-eosin staining according to the 2010 World Health Organization Classification [19]. Immunohistochemistry analyses including heat shock protein 70, glypican 3, glutamine synthetase, cytokeratin-7, and cytokeratin-19 were performed when appropriate.

Outcomes

The primary endpoint is to make comparisons between portal blood flow at different hepatic fibrosis stages. A secondary endpoint is to draw comparisons between arterial blood flow at these fibrosis stages. In addition, we compared other DCE-MRI parameters across the fibrosis stages: comparing those with and without varices and comparing hepatocellular carcinomas (HCCs) with different LR categories. We also evaluated the image quality of the morphologic images to determine whether it is sufficient for clinical practice.

Statistical analysis

DCE-MRI parameters were compared among F0–F1, F2–F3, and F4 using a one-way ANOVA test followed by post hoc analyses using Bonferroni correction. A paired sample t test and a Student’s t test were performed to compare the DCE-MRI parameters of HCC and liver parenchyma, and also compare HCCs with different LR features. Receiver operating characteristic curve analysis was used to assess the performance of DCE-MRI parameters to diagnose hepatic fibrosis ≥ F2. The optimal cut-off values were calculated by maximizing the Youden index. The areas under the curve (AUCs) of parameters were compared using a χ 2 test. Inter-observer agreement was assessed using the intraclass correlation coefficient (ICC) and Bland-Altman plot. ICC was interpreted as follows: < 0.4, poor; 0.4–0.59, fair; 0.6–0.74, good; and ≥ 0.75, excellent [20]. All statistical analyses were performed using commercial software (IBM SPSS, version 25, IBM; Medcalc version 19.6, Medcalc Software). A significance level of 0.05 was used.

Results

Sixty-four participants (male = 48; mean age, 56.4 ± 11 years) were analyzed after excluding five participants due to participant’s withdrawal (n = 1), canceled operation (n = 2), or k-space data loss (n = 2) (Fig. 1). The fibrosis grades were F0 (n = 21), F1 (n = 13), F2 (n = 9), F3 (n = 9), and F4 (n = 12). 12.5% of participants (8/64) had varices and 35.9% (23/64) of participants had treatment-naïve HCCs. All hepatic observations were histologically confirmed. Detailed demographics are summarized in Table 1. The sizes of ROIs were 257 ± 269 voxels (range 42–1944) for AIF, 228 ± 147 (range 54–599) for VIF, 7227 ± 8751 (538–56175) for the liver, and 4381 ± 4960 (range 85–17,845) for the tumors.

Fig. 1
figure 1

Study flow. HCC = hepatocellular carcinoma, ICCA = intrahepatic cholangiocarcinoma, cHCC-CCA = combined hepatocellular carcinoma-cholangiocarcinoma, FNH = focal nodular hyperplasia

Table 1 Demographics of study population

Image quality evaluation and LR categorization

The average scores for overall image quality were 3.5 ± 0.4 in the precontrast and arterial phases and 3.7 ± 0.4 in the portal venous and delayed phases (Table 2, Fig. 2). No participant had an average score below two throughout the entire dynamic phase. Twenty-two treatment-naïve HCCs (≥ 10 mm) had LR-3 (n = 5), LR-5 (n = 12), and LR-M (n = 5) (Supplementary information).

Table 2 Qualitative analysis of image quality of dynamic phases
Fig. 2
figure 2

Free-breathing T1-weighted images in a 66-year-old man. Precontrast (a), arterial (b), portal-venous (c), and delayed phase (d) were obtained without breath-holding. Temporal resolution is 12 s. No significant motion artifact is observed in any of the phases. Approximately 4.8 cm HCC is shown in segment 7 (arrows)

Comparisons of DCE-MRI parameters among fibrosis stages

Compared to the participants with F0–F1, those with cirrhosis showed a significantly reduced portal blood flow (283 ± 178 vs. 98 ± 47 mL/100 mL/min, p < 0.001), a higher AF (31.6 ± 25.2% vs. 56 ± 16.2%, p = 0.006), a prolonged MTT (12 ± 10.4 s vs. 22.9 ± 9.2 s, p = 0.002), and an increased ECV (37 ± 11.3 vs. 48.1 ± 16.2 mL/100 mL, p = 0.02). Participants with F2–F3 also had a marginally lower AF (35.4 ± 19.7%, p = 0.048), shorter MTT (14.5 ± 5.4 s, p = 0.046), and lower ECV (35 ± 12 mL/100 mL, p = 0.03) than those in participants with F4 (Table 3).

Table 3 Comparison of DCE-MRI variables in hepatic fibrosis

The AUCs of portal blood flow, MTT, and AF for detecting clinically significant hepatic fibrosis (≥ F2) were 0.8, 0.77, and 0.7 respectively (Table 4). Portal blood flow showed a marginally higher AUC value than AF did (p = 0.048), but there were no significant differences between the AUCs for portal blood flow and MTT (p = 0.4) (Fig. 3).

Table 4 Diagnostic performance for diagnosing clinically significant hepatic fibrosis (≥ F2)
Fig. 3
figure 3

Diagnostic performance of DCE-MRI parameters for diagnosing clinically significant hepatic fibrosis (≥ F2). Areas under the curve (AUCs) of portal blood flow, arterial fraction (AF), mean transit time (MTT), and extracellular volume (ECV) are 0.8, 0.7, 0.77, and 0.52 respectively. There are no significant differences between the AUCs of portal blood flow, AF, and MTT

Comparison of DCE-MRI parameters in the subgroups with and without varix

In participants with clinically significant hepatic fibrosis (≥ F2, n = 30), eight participants had varices. Compared to participants without varices (n = 22), the variceal group showed a significantly higher AF (59.4 ± 25.4% vs. 37.9 ± 16%, p = 0.01) and increased ECV (55.3 ± 16.9 vs. 34.8 ± 9.9 mL/100 mL, p = 0.004). However, there was no significant difference of portal blood flow between the two groups (p = 0.24, Table E2).

Comparison of DCE-MRI parameters among HCCs with different imaging features

In twenty-three participants with treatment-naïve HCCs, two were excluded due to the small size (5 mm, n = 1) and substantial motion (segment 8 dome, n = 1). Compared with HCCs showing non-LR-M features (n = 16), HCCs with LR-M (n = 5) had a significantly prolonged MTT (22.4 ± 10.8 vs. 40.8 ± 10.8 s, respectively, p = 0.003) and lower arterial blood flow (277 ± 125 vs. 125 ± 25 mL/100 mL/min, respectively, p = 0.04) (Table 5, Figs. 4 and 5). HCCs demonstrated a significantly higher arterial blood flow, a decreased portal blood flow, a higher AF, a prolonged MTT, and an increased ECV when compared to the parenchyma (Table E3, p < 0.05 for all).

Table 5 Comparison of DCE-MRI parameters between hepatocellular carcinomas with different LI-RADS features
Fig. 4
figure 4

A 53-year-old man with F4. Approximately 4 cm HCC with LR-5 shows arterial phase hyperenhancement (a, arrows) and portal washout (not shown). Arterial input function (b), venous input function (c), and the fitting curves of liver parenchyma (d) and HCC (e) are presented. Portal blood flow is 125 mL/100 mL/min in liver parenchyma and 0 mL/100 mL/min in the tumor. AF is 47.8% in the liver and 100% in HCC

Fig. 5
figure 5

A 79-year-old man with F2. Approximately 5.7 cm HCC with LR-M feature (a, arrows) is in segment 5. Fitting curve of liver parenchyma (b) and HCC (c) are presented. Portal blood flow is 147 mL/100 mL/min in liver parenchyma and 0 mL/100 mL/min in the tumor. AF is 27% in the liver and 100% in HCC

Inter-observer agreement

Inter-observer agreement was fair to good (0.57–0.62) for motion artifact, and good for streak artifact (0.61–0.69) and liver edge sharpness (0.67–0.74) in all phases. The overall image quality was good to excellent (0.63–0.75) in all phases (Supplementary information). The mean differences between the two observers were − 3.5 ± 39.4 mL/100 mL/min (limit of agreement (LOA): − 77.3, 70.3) for portal blood flow, 0.2 ± 6.9% (LOA: − 13.6, 13.9) for AF, − 1.7 ± 14.1 s (LOA: − 27.7, 24.4) for MTT, and − 0.1 ± 4.6 mL/100 mL (LOA: − 8.9, 8.7) for ECV.

Discussion

Our study showed that portal blood flow was significantly reduced in clinically significant hepatic fibrosis (≥ F2) compared with that in participants with no or early hepatic fibrosis. Conversely, there were no significant differences in arterial blood flow among the fibrosis stages. The reduction in portal flow associated with advanced hepatic fibrosis is often explained by the increased intrahepatic resistance [21, 22]: the increased hepatic vascular tone and the alteration of tissue architecture by collagen deposition in the space of Disse may increase intrahepatic resistance [23, 24]. The absence of any significant differences in arterial blood flow may be explained via the so-called buffer phenomenon, in which a reduced portal flow is compensated by an increased arterial flow—which in turn increases AF [25]. We also observed increased MTTs and ECVs in participants with cirrhosis. MTT is the average time for blood to transit from the arterial to the venous end of the vasculature, and ECV refers to interstitial space volume. Given that collagen deposit increases and sinusoid capillarization occurs in cirrhosis [26], a prolonged MTT and increased ECV in cirrhosis are perhaps unsurprising outcomes. Based on our observations, we cautiously suggest that the hemodynamic changes in hepatic fibrosis can be captured via DCE-MRI.

The prognosis of patients with advanced chronic liver disease depends on the development of portal hypertension [27], and the presence of varices is an indirect metric of portal hypertension [28]. We found that AFs and ECVs were significantly higher in the group with varices compared to the non-variceal group. However, contrary to expectations, there were no significant differences in portal flow between the two groups. Although the reasons for this are not clear, we can speculate that it may be explained by portal hyperemia. Despite the flow divergence caused by collaterals, arterial vasodilatation of the splanchnic and systemic circulation increases splanchnic flow to the portal system [29]. As a result, portal flow may increase in the variceal group and ultimately result in there being no significant difference between the two groups. The potential role DCE-MRI for portal hypertension evaluation should be further investigated in the future with an appropriate reference of portal hypertension.

Our study shows the feasibility of simultaneous evaluation of both morphologic and hepatic perfusion in a single examination. In our study, no participants underwent re-examinations, and this motion-resistant sequence also allowed DCE-MRI analyses for hepatic tumors: the HCCs had significantly higher arterial blood flow, markedly lower portal blood flow, longer MTT, and greater ECV than those of the liver parenchyma. This is consistent with the known hemodynamics of HCCs, and the prolonged MTT can also be explicated by the tortuous neovascularity of the tumor [30, 31]. Of interest, HCCs with different imaging features showed different perfusion parameters. HCCs with LR-M had significantly lengthened MTTs and a lower total and arterial blood flow than those in non-LR-M HCCs. Given that HCCs with LR-M do not show typical arterial phase hyperenhancement, it is coherent to conclude that those subjective imaging features can be quantified via DCE-MRI. Because HCCs with LR-M are known to be associated with poor prognosis [32], there might be a role of DCE-MRI for tumor biology characterization. We believe that GRASP can provide the additional hemodynamic information, in combination with an appropriate analysis model.

Despite our study results being consistent with previous studies reporting both a reduced portal flow and an increased AF and MTT [4, 33, 34], the absolute values of liver blood flow in this study are higher than the reported values: a typical value for total blood flow in healthy liver is in the range of 130 mL/min/100 mL [35, 36], but in this study, we measured an average of 405 mL/min/100 mL in the F0–F1 group. This may reflect a systematic overestimation in the data. The reason is not clear, but using a constant T1 value may be partly responsible for this since the T1 value changes as fibrosis progresses. In addition, inspection of a typical AIF demonstrates that the peak concentration is saturated, which has been also shown in other studies using radial acquisition [31, 37, 38]. A possible contributor to this effect is the relatively low flip angle (12°), which is necessary to minimize power deposition but is also known to reduce the dynamic range of the signal in radial acquisition [39]. One would not expect the effect to be so severe at 12°, and therefore, it seems likely that other issues play a role such as, potentially, temporal smoothness constraints, temporal resolution (the number of spokes), and principal component of GRASP reconstruction [40, 41]. The effect is likely to be largely systematic in nature and therefore may not confound the cross-sectional comparisons, but it will certainly impact on the reproducibility of the results and the ability to make comparisons against benchmarks and reference methods. Further investigation including population-based AIF and B1-corrected T1 mapping is needed to address this potential obstacle in DCE-MRI using radial acquisition.

There are several study limitations. First, the sample size was relatively small. Second, participants with different underlying diseases were enrolled. Third, we used a constant T1 value to avoid errors related to B1-effects. However, precise T1 measurement should be implemented in the following studies. Third, we applied dual-input model for HCCs. It is based on the fact that the degree of portal flow reduction varies in HCCs, and we decided to include portal contribution as in earlier studies [42, 43]. However, the gain of using a dual-input model over a single-input model is not yet validated in HCCs. Further, there are concerns about the fact that the dual-input model may increase the instability of the model fit and decrease the reliability of other perfusion parameters. Lastly, the presence of varices is only a surrogate marker of portal hypertension. Further studies including solid reference standards such as hepatic venous pressure gradients are warranted.

In conclusion, DCE-MRI can be simultaneously obtained with morphologic imaging from a single acquisition dataset, and portal blood flow significantly differed between fibrosis stages.