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World J Gastroenterol. Jan 7, 2016; 22(1): 89-102
Published online Jan 7, 2016. doi: 10.3748/wjg.v22.i1.89
Four-dimensional flow magnetic resonance imaging in cirrhosis
Zoran Stankovic
Zoran Stankovic, University Institute of Diagnostic, Interventional and Pediatric Radiology, Inselspital - University Hospital Bern, 3010 Bern, Switzerland
Author contributions: Stankovic Z analyzed the literature and wrote the paper.
Conflict-of-interest statement: The author has no conflict of interest to report.
Open-Access: This article is an open-access article which was selected by an in-house editor and fully peer-reviewed by external reviewers. It is distributed in accordance with the Creative Commons Attribution Non Commercial (CC BY-NC 4.0) license, which permits others to distribute, remix, adapt, build upon this work non-commercially, and license their derivative works on different terms, provided the original work is properly cited and the use is non-commercial. See:
Correspondence to: Zoran Stankovic, MD, University Institute of Diagnostic, Interventional and Pediatric Radiology, Inselspital - University Hospital Bern, Freiburgstrasse 10, 3010 Bern, Switzerland.
Telephone: +41-31-6322434 Fax: +41-31-6321915
Received: May 29, 2015
Peer-review started: June 3, 2015
First decision: July 14, 2015
Revised: August 8, 2015
Accepted: October 13, 2015
Article in press: October 13, 2015
Published online: January 7, 2016


Since its introduction in the 1970’s, magnetic resonance imaging (MRI) has become a standard imaging modality. With its broad and standardized application, it is firmly established in the clinical routine and an essential element in cardiovascular and abdominal imaging. In addition to sonography and computer tomography, MRI is a valuable tool for diagnosing cardiovascular and abdominal diseases, for determining disease severity, and for assessing therapeutic success. MRI techniques have improved over the last few decades, revealing not just morphologic information, but functional information about perfusion, diffusion and hemodynamics as well. Four-dimensional (4D) flow MRI, a time-resolved phase contrast-MRI with three-dimensional (3D) anatomic coverage and velocity encoding along all three flow directions has been used to comprehensively assess complex cardiovascular hemodynamics in multiple regions of the body. The technique enables visualization of 3D blood flow patterns and retrospective quantification of blood flow parameters in a region of interest. Over the last few years, 4D flow MRI has been increasingly performed in the abdominal region. By applying different acceleration techniques, taking 4D flow MRI measurements has dropped to a reasonable scanning time of 8 to 12 min. These new developments have encouraged a growing number of patient studies in the literature validating the technique’s potential for enhanced evaluation of blood flow parameters within the liver’s complex vascular system. The purpose of this review article is to broaden our understanding of 4D flow MRI for the assessment of liver hemodynamics by providing insights into acquisition, data analysis, visualization and quantification. Furthermore, in this article we highlight its development, focussing on the clinical application of the technique.

Key Words: Four-dimensional flow magnetic resonance imaging, Phase contrast-magnetic resonance imaging, Liver cirrhosis, Imaging technique, Hemodynamics, Blood flow, Visualization, Quantification, TIPS, Splanchnic system

Core tip: Liver cirrhosis is one of the leading cause of morbidity and mortality in the United States, Europe and Asia. Advanced stages of liver cirrhosis are accompanied by hemodynamic changes of the hepatic vascular system. Four-dimensional (4D) flow magnetic resonance imaging (MRI) has been validated for the clinical assessment of the liver blood flow in patients with advanced liver cirrhosis. It represents a method that supplements Doppler ultrasound and provides important additional information on the vessel system in difficult patients. The purpose of this review is to provide insights into 4D flow MRI for blood flow visualization and quantification in patients with advanced liver cirrhosis.


Liver cirrhosis is a leading cause of serious morbidity and the 9th most often cause of death in the United States and Europe with a mortality of more than 35000 deaths per year[1,2]. The most common causes of liver cirrhosis in developed countries are alcoholic liver disease and hepatitis C, while in most parts of the sub-African continent and in Asia, hepatitis B dominates as the predominant cause[3-5]. Liver cirrhosis reflects the histological development of regenerative nodules and fibrotic bands as a response to chronic liver injury. In the cascade of liver damage, it appears at advanced stages of liver fibrosis and is accompanied by distortion of the hepatic vascular system. The hemodynamic changes in the liver result in the shunting of the portal venous and arterial blood supply directly into the central hepatic veins, bypassing the exchange between hepatic sinusoids and the adjacent hepatocytes[6,7]. The major clinical effects of the liver damage and liver cirrhosis are impaired liver function, portal hypertension with increased intrahepatic resistance, and potential development of malignant hepatocellular carcinoma. The hemodynamic changes in liver cirrhosis are closely associated with portal hypertension and vascular alterations in the liver parenchyma[8,9].

Over the last 3 decades, phase contrast (PC) MRI has become established in the clinical routine for diagnosing hemodynamic alterations in the heart, aorta and large thoracic and abdominal vessel systems[10-12]. Further improvements in PC-MRI led to time-resolved (CINE) 3-dimensional (3D) PC-MRI technique with the feasibility of three-directional velocity encoding [four-dimensional (4D) flow MRI]. 4D flow MRI enables 3D volumetric coverage and the means of assessing hemodynamic changes in a specific region over time[13-17].

The purpose of this review article is to provide insights into the 4D flow MRI imaging technique for blood flow visualization and flow quantification in patients with advanced liver cirrhosis and in healthy volunteers. I also aim to describe the clinical advantages and disadvantages of the method, illustrating recent developments of the technique in the liver’s vascular system as well as presenting several very recent clinical applications of the method for evaluating hemodynamic anomalies.


A perfect non-invasive test for patients with liver cirrhosis would be simple to perform, safe, inexpensive, accurate, reproducible, yield numeric results in real time, reflect therapy-induced changes, enable prognostic stratification, and predict potential long-term outcomes related to liver cirrhosis[18-20].

Liver biopsy is acknowledged as the gold standard when diagnosing liver cirrhosis and assessing the stage and grade of chronic hepatitis[21-24]. The histological sub-classification and quantitative evaluation of hepatic fibrosis reveals a correlation with the disease’s clinical stage and prognosis, and is valuable in validating other non-invasive markers[25,26]. The repeatability of liver biopsy and its clinical acceptance by the patients is limited by its potential for complications, sampling errors, inter- and intra-observer variability, and invasiveness[27,28]. In patients with liver cirrhosis, measurements of the hepatic venous pressure gradient (HVPG) provide an accurate estimate of portal pressure and offer a solid clinical and prognostic marker for chronic liver disease[29-32]. It enables us to assess the development of clinical complications, e.g. esophageal varices and bleeding and the risk of decompensation, and provides independent prognostic information on patients’ survival and future mortality risk[33-37]. Similar to liver biopsy, HVPG’s main limitation is its invasiveness and limited availability[32]. Much effort has been made to identify a non-invasive alternative offering comparable reliability to the invasive interventions described above.

An important clinical role is played by laboratory tests such as biochemical and hematological serum markers with the benefits of simple, non-invasive and repetitive testing and results reflecting the entire liver. Serum markers are “indirect” and “direct”: the “indirect markers” reveal the degree and stage of fibrosis, while “direct markers” indicate the enzymes playing a key role in matrix regulation or the hepatic matrix components and their deposition or removal[38,39]. Studies evaluating serum markers have demonstrated their predictive efficiency for fibrosis and cirrhosis[40,41] although a meta-analysis describes their accuracy as limited in assessing the fibrosis stage[42]. To optimize reliability, a combination of serum markers is used instead of a single marker[43]. Nevertheless, non-invasive assessment of the dynamic changes in portal hypertension, liver fibrosis and cirrhosis by laboratory serum markers remains inadequate[42,43].

Diagnostic imaging modalities have a fundamental function in managing patients with chronic liver disease and in diagnosing the malignant transformation to hepatocellular carcinoma. The clinical gold standard and most comprehensive available and evaluated imaging test is ultrasound (US)[44-48] and accompanied techniques including transient elastography (TE)[49,50], acoustic radiation force impulse (ARFI)[51] and supersonic shear-wave elastography (SSWE)[52] imaging. Based on its broad availability, non-invasive character and easy applicability, Doppler US is well established in the clinical routine for the follow-up and assessment of patients with chronic liver disease and liver cirrhosis[44-48]. In advanced stages of liver fibrosis, morphological alterations are accompanied by changes in the liver’s blood flow[53]. Assessment by US include liver and spleen size measurements, liver parenchyma evaluation, but also measurements of portal vein (PV) velocities, PV blood flow, liver perfusion, and resistance indices in splanchnic arteries[53-57]. Ultrasound is reported to demonstrate very low sensitivity and specificity for liver fibrosis, and no correlation was detected between US results and liver biopsies when staging liver fibrosis[58,59]. Better assessment of hemodynamic changes in the liver has been made possible by contrast-enhanced ultrasound (CEUS)[60,61]. There is evidence that regional hepatic perfusion parameters correlate with the severity of liver failure and are increased in patients with liver cirrhosis[61]. The usual US limitations are involved in this technique, as the involvement of different contrast agents with different kinetics and drug design, varying operator skills and inconsistent availability of the method. Other limitations are the patient-related and operator-dependent conditions. US is influenced by the stage of NPO (nothing per mouth), patient respiration, ascites, bowel gas, differences in equipment and inter-observer variability in the measurements[62-66].

Other ultrasound-based techniques focus on the mechanical properties of liver tissue and measure differences in viscoelasticity in patients with liver fibrosis[51]. The modalities in evaluating liver stiffness in hepatic fibrosis are useful to reduce invasive pressure measurements, predict lethal complications or improve patient’s prognoses and risk stratification. The two most frequent modalities are either real-time based elastography or shear-wave elastography. TE is the most widely applied and tested modality, followed by ARFI[51] and SSWE[52]. Numerous studies have shown that TE results correlate significantly with the histological stage of liver fibrosis and are very diagnostically accurate[67-69]. Nevertheless, TE has a high measurement failure rate of up to 20% due to limitations like severe obesity, ascites and subcutaneous fat[49,60,70]. Further restrictions for its broad clinical use are its wide range of cut-off values and results variability across different studies[71-74].

Conventional CT and MRI are well-suited for evaluating morphological anomalies in patients with chronic liver disease, as they show the degree of liver injury from cirrhosis and accompanying complications. Alterations result from portal hypertension, hepatic insufficiency and portosystemic shunting, which result in ascites, gastrointestinal bleeding, coagulopathy, encephalopathy, and the formation of collateral vessels and portosystemic shunts[75-77]. Predisposing locations of the collateral vessels are distal esophageal, the gastric fundus, paraumbilical, splenorenal, retroperitoneal, abdominal wall and hemorrhoidal[78,79]. These morphologic changes in liver hemodynamics are usually visible in advanced stages of liver cirrhosis. As a result, CT and MRI are unsuitable for diagnosis of the early stages of liver cirrhosis, including functional evaluation of the liver blood flow. An MRI-based assessment of liver stiffness by MR elastography (MRE) offers better contrast between different body tissues than Ultrasound[80-82]. Further advantages of the technique is its potential to assess the whole liver, observer-independence, and no influence by the body habitus[83,84]. MRE has become standard for assessing liver fibrosis as it offers generally high sensitivity and specificity for different histological gradings[81-86]. Factors associated with this technique that limit its use in the daily clinical routine are its expense and restricted availability[83,84].

Much experience has been gained over the last two decades in using MRI to hemodynamically assess the liver blood flow[87-90]. Most published studies relied on 2D PC-MRI measurements, a robust and reliable technique for hemodynamic assessment of the liver. It has revealed low intra- and inter-observer variability and high reproducibility compared to Doppler US[87-90]. 2D PC-MRI is, however, limited by the application and positioning of 2D planes. Flow measurements and flow quantification results obtained via 2D PC-MRI can be unreliable because of difficulties in precise orthogonal positioning of the measurement plane within the complex liver vascular system[91]. Another large group of studies assessing liver hemodynamics relied on contrast-enhanced MRI. Since nephrogenic systemic fibrosis (NSF) has been observed with its potential connection to the injection of gadolinium-based contrast medium, contrast medium is being more carefully applied[92-96].

Until now, no non-invasive diagnostic modality has been able to determine the changes in and exact stage of chronic liver disease and portal hypertension. Nevertheless, new modalities reveal promising results in hemodynamic assessments of the liver. Further clinical trials examining different disease stages are needed to validate the reproducibility and long-term prognostic values of these non-invasive diagnostic modalities. These tests have the potential to lead to unknown and new paradigms in the specific management of patients with chronic liver disease.


During data acquisition with 4D flow MRI, velocity is encoded along all three spatial directions throughout the entire heart cycle. This results in a time-resolved volumetric velocity field from the scanned body region, e.g. heart, aorta, lung, intracranial vessels or liver[10,97,98]. To take quantitative velocity measurements in one spatial direction, two data acquisitions and the following subtraction are needed for velocity encoding. Seeking velocity encoding in all three spatial directions, one needs a reference image and three velocity-encoded images acquired along the three orthogonal directions X, Y and Z[99-101]. The data is acquired over several cardiac cycles, while data acquisition at the same time is synchronized with the heart cycle using the k-space segmentation technique. The 4D flow MRI data is thus measured only partially during one heart cycle; the entire data is acquired ongoing over several heart cycles. After completing 4D flow MRI data acquisition, 4 time-resolved 3D flow datasets are generated: one dataset with the magnitude information containing anatomic information and three flow datasets giving the velocities in each spatial direction X, Y and Z. The extended amount of data encoding for three spatial dimensions, three velocity directions, and the time information over the cardiac cycle is reflected in the scan time. Several recent examinations in 4D flow MRI sequencing addressed this limitation and tried to find a potential solution to shorten the scan time. While the manufacturers continuously improve the hardware aspect of the scanners, others are working on software improvements.

Fast imaging techniques like radial imaging 3D PC-VIPR (vastly undersampled isotropic projection reconstruction)[102,103], spiral techniques without acceleration[104], compressed sensing[59,105] or parallel imaging enable 4D flow MRI scans within 8 to 20 min[15,106]. Conventional acceleration techniques like GRAPPA (generalized auto-calibrating partially parallel acquisitions)[57] or SENSE (sensitivity encoding)[55] can usually achieve a scan time reduction by factor 2 or 3. Applying higher values could negatively influence the quantification of velocities with a reduced signal-to-noise ratio[107]. Further advancements in spatial-temporal parallel imaging techniques such as k-t PCA (k-t principal component analysis)[108], k-t GRAPPA[109-111], k-t SENSE[112,113] or k-t BLAST[113,114] facilitate higher acceleration factors and represent promising imaging techniques for scan time reduction using 4D flow MRI. Several studies have already used a radial data acquisition technique combined with under sampling of the data (PC-VIPR) for assessing the arterial and portal venous system within the liver and splanchnic vessels[115-117]. This imaging technique offered shorter scan times together with broad volumetric coverage and enhanced spatial resolution, fewer motion artifacts and self-gating. A recent study evaluated scan time savings using a k-t GRAPPA accelerated Cartesian 4D flow MRI to visualize and quantify liver hemodynamics[118]. Three different acceleration factors were used, with additional focus on temporal resolution. All k-t GRAPPA acceleration factors displayed significant scan time savings, R = 3 and R = 5 over 40% to almost 8 min and R = 8 over 70% with a 4D flow MRI scan time of almost 4 min. While acceleration factors R = 3 and R = 5 showed quantitative blood flow and velocity results comparable to standard GRAPPA R = 2, acceleration factor R = 8 revealed increased noise and artifacts with significantly lower measurement results in the arterial system according to the calculated blood flow parameters[118]. Another current study is evaluating a combined-spiral-sampling and dynamic-compressed-sensing approach for faster acquisition of 4D flow MRI[119]. In a study cohort with 10 subjects, investigators have demonstrated the feasibility of applying 4D flow MRI within an average scan time of 24 s (18-25 s range), comparable to 2D PC-MRI measurements. Moderate to substantial agreement was observed in the delineation of arterial and venous vessel borders between the spiral 4D flow MRI and the Cartesian 4D flow MRI approach. Quantitative results revealed good agreement and a 95% confidence interval between 60% and 77% for the flow parameters acquired[119]. These recent studies addressing the acceleration of 4D flow MRI for abdominal imaging show the potential for this technique to be accelerated to last a few seconds while enabling comprehensive evaluation of liver hemodynamics. For thoracic or abdominal applications of the 4D flow MRI technique, breathing control and ECG-gating is needed to reduce consequent artifacts. In addition to breathing bellows or navigator gating, self-gating methods have been reported[120-123]. Upcoming studies will continue to validate the scan-time savings results using various acceleration techniques and offering broad clinical application for patients with advanced liver cirrhosis as well as better understanding of complex blood flow changes in the liver.

Technical aspects for data analysis

Many technical aspects must be considered when performing 4D flow MRI data acquisition and validating the data acquired. A detailed description and discussion of these technical aspects is beyond the scope of this clinically-focused review article, and I offer only an overview of the most important facts. For further detailed information, please consult comprehensive review articles for 4D flow MRI, e.g.[16,17].

Velocity encoding sensitivity (Venc) represents the peak flow velocity that can be acquired. If the peak velocity of the blood flow in the vessels exceeds the preset setting for the Venc, the accuracy of flow visualization and quantification of the liver hemodynamics may be compromised and anti-aliasing corrections are necessary[124]. To obtain optimal image quality, the Venc should represent the hemodynamic conditions in the hepatic area and be as high as necessary to avoid anti-aliasing, but as low as possible to reduce velocity noise. A typical Venc setting for the portal venous system is 50 cm/s, for the arteries 100 cm/s, and values even above 150 cm/s within a TIPS stent[16,17]. An interesting approach for the liver with different flow velocities is a dual-venc, already discussed in other regions of the body[125].

Many errors in 4D flow MRI can impair image quality and trigger inaccuracies in quantitative flow measurements. The most common errors are phase offset errors based on gradient field nonlinearity[106], eddy currents[126] and Maxwell terms[127]. Before further processing the 4D flow MRI data, it is important to take such errors into account and consider appropriate correction strategies.

To visualize the 4D flow MRI data acquired, many options are available on the market, usually using 2D analysis planes which must be positioned in the vessel of interest[11,128-133] (Figures 1 and 2). Time-resolved particle traces and 3D streamlines are emitted from these analysis planes. Time-resolved particle traces display the temporal evolution of blood flow over one or more cardiac cycles[132]. Velocity changes can be visualized or the flow pattern traced to its origin by color-coding the particle-traces. Streamlines represent 3D traces that track the spatial distribution of 3D velocities within an individual cardia time frame. Color-coding the streamlines enables visualization of the spatial distribution and orientation, especially of peak blood flow velocities.

Figure 1
Figure 1 Particle traces visualization of portal venous flow in a healthy volunteer. Blue emitter planes were positioned in the splenic vein and superior mesenteric vein (sup.-mes. vein), portal vein, right (right PV) and left (left PV) intrahepatic portal vein branch. The gray-shaded iso-surface three-dimensional angiogram has been calculated from the 4D flow magnetic resonance imaging data. Color-coded peak velocities in the inflow of the portal vein from the splenic and superior mesenteric veins and the intrahepatic part of the portal vein.
Figure 2
Figure 2 The portal venous system visualized by particle traces in a 68-year-old male patient with liver cirrhosis (Child-Pugh stage B). Blue emitter planes were positioned in the splenic vein and superior mesenteric vein (sup.-mes. vein), portal vein, right (right PV) and left (left PV) intrahepatic portal vein branch. Time-resolved particle traces illustrate physiological flow in the extrahepatic portal venous system with inflow in the portal vein from the splenic and superior mesenteric veins. Flow over the left branch of the intrahepatic portal vein into a re-opened umbilical vein is visible (arrowhead).

4D flow MRI has the potential to retrospectively quantify hemodynamic parameters of the liver at any location within the 3D data volume following data acquisition[134,135]. 2D analysis planes can be freely positioned in the interesting arterial or portal venous vessel to quantify standard flow parameters like peak and mean velocities, flow volume over the cardiac cycle, vessel area, shunt fraction or flow reversal (Figures 2 and 3). Several studies report excellent agreement between 2D PC-MRI and 4D flow MRI in flow quantifications[136,137]. Good scan-rescan reproducibility and low inter- and intra-observer variability have been shown in conjunction with 4D flow MRI flow quantification in the intracranial, cervical, thoracic and abdominal vessel systems[136,138,139]. New strategies are also discussed in the literature for evaluating more advanced hemodynamic parameters, e.g. wall shear stress, pressure difference, turbulent kinetic energy and pulse wave velocity[135,140-143].

Figure 3
Figure 3 Four-dimensional flow magnetic resonance imaging in a 63-yr-old female with liver cirrhosis after TIPS placement. Small lower left corner: three-dimensional (3D) segmentation of the liver and splanchnic hemodynamics (red: arterial system; orange: portal venous system; blue: venous system). Large figure: Color-coded 3D particle-traces visualization demonstrates increased velocities within the TIPS and the arteries. Blue analysis planes were positioned throughout the arterial and portal venous systems as well as TIPS to quantify liver hemodynamics. abd. aorta: Abdominal aorta; hep. artery: Hepatic artery; sma: Superior mesenteric artery; smv: Superior mesenteric vein; Right PV: Right portal vein branch; IVC: Inferior vena cava.
Blood flow visualization

4D flow MRI represents a non-invasive and observer-independent technique for comprehensive 3D volumetric evaluation of the liver and splanchnic region, as well as the means of assessing the liver’s arterial and portal venous system, collateral vessels, and potential shunts. In addition to initial studies evaluating flow in the portal vein[89,144-146] the focus of the first feasibility studies using 4D flow MRI in the liver was on the entire portal venous system[147,148]. These studies addressed the inflow from the splenic and superior mesenteric vein, the splenic-mesenteric confluence, the intrahepatic portal vein and right and left intrahepatic branches[147,148]. Initial studies comparing healthy volunteers and patients with liver cirrhosis applied a velocity encoding of 50 cm/s and attained complete visualization of the extrahepatic vessels in over 94% of their subjects (Figure 2). The small intrahepatic branches presented a limitation, however, as complete visualization was only possible in about 80% of the subjects[147,148]. Another group applied radial 4D flow MRI acquisition[102,103] and demonstrated good to excellent visualization in patients with liver cirrhosis, identifying all arterial vessels and 86% of the portal venous circulation[115,116]. Subsequent studies using Cartesian 4D flow MRI and a velocity encoding of 100 cm/s were also able to evaluate the liver’s arterial and portal venous system[118,149]. Complete visualization of the arterial system was accomplished in liver cirrhosis patients and volunteers in almost 100% of the cases. The limiting factor in the volunteer studies was the left intrahepatic branches (complete visualization in 50% to 60% of the cases)[118,149]. In the patient cohort studies the limitations in the portal venous system were more obvious as complete visualization of the extrahepatic vessels was only possible in in 60% to 90% of the cases, while the small intrahepatic branches of the portal vein were completely visible in only 20% to 60% of the cases[150,151]. A possible reason for these limitations might be in the spatial resolution of the 4D flow MRI sequence and the quite long scan time under free breathing during acquisition, resulting in partial volume effects and signal blurring due to organ motion and reduced effective spatial resolution in the Z-direction. In addition to visualization of the hepatic hemodynamic system, a major advantage of the 4D flow MRI sequence is its ability to evaluate the blood flow direction. Qualitative results in a feasibility study using radial 4D flow MRI depicted reverse hepatofugal flow in 5% of the portal venous vessels[115]. Using Cartesian 4D flow MRI, that study group showed a reopened umbilical vein in 6 out of 20 liver cirrhosis patients with portosystemic shunts[148]. In another patient-cohort study addressing more advanced stages of liver cirrhosis portosystemic collateral vessel systems were visualized prior to TIPS revision in 8 out of 11 cases[151]. The shunt was not visible in the follow-up 4D flow MRI examination after insertion of a TIPS stent graft[151,152]. The successful occlusion of the shunt was proven during the intervention. The results of these studies also highlight one of the limitations of the 4D flow MRI sequence. Due to the 100 cm/s velocity encoding favoring high blood flow velocities and the applied spatial resolution, it can be difficult to distinguish the collateral vessels having a small diameter and low blood flow velocities in advanced stages of the liver disease. Precise differentiation of the regressive development of collateral vessels might be difficult when referring to 4D flow MRI using only the actual sequence parameter. Better spatial resolution would improve visualization of the portal venous vessel system and the collateral vessels with low blood flow velocities and small vessel size in advanced stages of liver disease. A further potential limiting factor is the signal-to-noise ratio. The above-mentioned studies involving radial acquisition applied contrast medium, while the Cartesian-based studies did not. The influence of the contrast medium, field strength and better respiratory triggering on the 4D flow MRI for the liver hemodynamics should be examined in future studies with larger patient cohorts.

Retrospective blood flow quantification

As well as visualizing 3D blood flow characteristics and clinically illustrating complex alterations in patients with advanced liver disease, 4D flow MRI enables the comprehensive quantification of blood flow parameters from the same dataset. Several working groups have conducted a quantitative evaluation of flow parameters in the portal venous system using Doppler US or MRI, while most of the MRI results are based on 2D PC-MRI measurements[144,145,153-156]. Initial studies using 4D flow MRI within the portal venous system displayed moderate, but significant correlations among 4D flow MRI, 2D PC-MRI and Doppler US values[147,148]. The peak-velocity results were between 23-27 cm/s, slightly lower than in other studies reporting 28 cm/s using 2D PC-MRI and Doppler US[89]. Mean velocity values between 10-12 cm/s resemble those in other studies based on 2D PC-MRI (11-14 cm/s)[144,145,154]. However, published values from studies applying Doppler US reveal higher mean velocities between 15-17 cm/s[156,157]. The peak and mean velocities of blood flow in the liver tended to be underestimated in conjunction with 4D flow MRI (between 35% and 38%)[147,148]. Another 4D flow MRI study evaluating blood flow in the carotid bifurcation offered a similar underestimation of flow velocities (between 31% and 39%) via 4D flow MRI compared to Doppler US[158]. An explanation for MRI’s tendency to underestimate velocities is related to the data acquisition method. The velocity data is acquired over several cardiac cycles, resulting in an average velocity progression. Velocity changes within the different heart cycles and short time fluctuations are not displayed. In comparison: Doppler ultrasound measurements represent real-time velocity data[144,156]. MRI’s underestimation of velocities therefore has to do with velocity averaging. Another reason might be partial volume effects due to lower spatial resolution in MRI than in Doppler US.

A 4D flow MRI study detected lower flow-volume values after measuring mean velocities and vessel area (mean 0.7 ± 0.4 L/min)[148] compared to 2D PC-MRI studies (between 1.0 and 1.3 L/min)[89,145,155]. Doppler US studies, however, yielded a wide range of flow volumes (between 0.3 and 1.3 L/min)[159,160]. One reason for these different flow volumes could be hemodynamic changes after ingestion. A Doppler US-based study evaluating postprandial hyperemia in patients with liver cirrhosis revealed an average increase in portal venous flow velocities of 29% and a 38% increase in the portal venous blood flow[161]. Most recent studies evaluating reproducibility and the postprandial effect via 4D flow MRI report good to excellent short-term reproducibility in the fasting state[162,163]. Portal venous flow parameters were significantly higher in the postprandial state, confirming the large impact of caloric intake on portal venous flow[162]. Portal venous flow regulation might also be impaired after a meal challenge in patients with liver cirrhosis[163].

Recent 4D flow MRI studies measuring the vessel area report higher values compared to Doppler US in correlation to earlier studies with 2D PC-MRI and Doppler US[144,145,147,148,164]. One reason for the differences between these two modalities might be the location and angle of the ultrasound transducer during vessel diameter assessment, which would compromise reliable measurements not just in small vessels. The differences are inter-observer and intra-observer variability[157].

A recent reproducibility study examined the reliability of 4D flow MRI data acquired from the thoracic aorta with high flow velocities[138] showing good scan-rescan reliability and low inter- and intra-observer variability in the acquired and clinically-relevant blood-flow parameters and in wall shear stress (WSS)[138]. Via radial acquisition, another study group confirmed the results from quantifying hepatic and splanchnic hemodynamics using 4D flow MRI[116]. Investigating patients with portal hypertension, that study revealed good internal data consistency and low inter- and intra-observer variability in 4D flow MRI data from the liver’s vascular system[116]. They validated their results indirectly by being internally consistent at three different locations within the vascular system. Taking measurements at three different locations in the portal vein revealed an average absolute error of 4.2% ± 3.9%. Comparison of flow into the portal confluence coming from the splenic and superior mesenteric veins with the flow in the portal vein yielded an error of 5.9% ± 2.5%. Assessment of flow in the portal bifurcation and the right and left intrahepatic portal vein branches showed an error of 5.8% ± 3.1%[116]. Another study applying Cartesian 4D flow MRI revealed similarly good results with small errors in the internal consistency validation of the flow parameters[150]. Those authors performed additionally a real scan-rescan validation of 4D flow MRI with a rescan of all volunteers at least 5 mo later on the same scanner. They reported good reproducibility of 4D flow MRI quantification in the portal venous system with low blood flow velocities offering a mean average difference of 2% between the two scans for peak velocities and 5% for the mean velocities[150]. Quantitative evaluation of arterial blood flow velocities using 4D flow MRI yielded robust results with mean average differences of 3% for peak velocities and 7% for mean velocities[150]. Reproducibility of flow volume assessments showed low error for mean average differences of 6% in the portal vein, while the arterial flow volume evaluation was limited by an error of 14%. Inter-observer variability of between 16% and 26% is described in the literature in association with the evaluation of portal venous blood flow velocities using the clinical gold standard, Doppler US[165]. 4D flow MRI has yielded similar results: a scan-rescan-variability between 25% and 26% in the assessment of flow velocities[150]. A possible reason for these variations is the manual segmentation of vessel borders. A semi- or full-automatic segmentation method could improve the reproducibility of such calculated parameters and those derived from the vessel area[166].

Doppler US-based studies describe significantly low flow velocities and flow volumes in patients with advanced liver cirrhosis compared to healthy volunteers[159,167]. In a study taking the radial 4D flow MRI approach, the MELD score was calculated to estimate disease severity and correlated with image quality[115], yielding no correlation between image quality and the MELD score. Another study analyzed their patient cohort applying the Child-Pugh score to assess the degree of liver failure compared to the quantitative flow parameters derived from 4D flow MRI data and Doppler US measurements[148]. They detected no relevant correlation between disease severity and changes in liver hemodynamics; the expected changes were only visible in few hepatic vessels. Those 4D flow MRI findings might be associated with the study patients they recruited. In both 4D flow MRI studies, most of the cohorts’ liver cirrhosis patients presented an early stage of the disease and a low MELD score or Child-Pugh stage A with subsequently few anomalies in liver hemodynamics[115,148]. The Doppler US studies reveal upon closer inspection to have included patients with mainly advanced liver cirrhosis (Child-Pugh stage C) and more advanced impairments in the hepatic vessel system[159,167]. To further validate 4D flow MRI data, additional patient studies are needed with larger patient cohorts and involving different stages of disease severity.

The most interesting novelty represented by 4D flow MRI is that it allows us to reliably assess both the portal venous system in patients with altered liver hemodynamics, as well as small arteries in the liver and splanchnic system[115,116,118,149,151] (Figure 3). It is a technique that offers quantitative equilibrium in the patient’s blood flow between the arterial inflow to the liver and splanchnic system and the portal venous outflow to the liver parenchyma. We can thus calculate the shunt fraction in patients with advanced liver cirrhosis and a portosystemic shunt[151,152]. An increase in liver perfusion of 424 mL/min can be verified after TIPS intervention by assessing the different flow rates in the hepatic arteries, portal vein and TIPS stent-graft[151]. Doppler US studies reveal an increase in flow velocities after a TIPS intervention by a factor of 2 to 4[168,169]. 4D flow MRI data has demonstrated results similar to Doppler US’s in peak velocities in the portal vein before TIPS insertion (4D flow MRI: 19 ± 5 cm/s vs Doppler US 10-20 cm/s), but revealed lower values in the portal vein during TIPS follow-up (4D flow MRI: 28 ± 7 cm/s vs Doppler US 40-60 cm/s)[151,169]. Normally-functioning stent-shunts yielded in-stent values via 4D flow MRI comparable to those in Doppler US with peak velocities measuring between 50 cm/s and 200 cm/s (range 58-194 cm/s)[151,169]. Stenoses within the stents were reliably depicted and confirmed by invasive catheter pressure gradient measurements during stent shunt revision[151]. These recent studies evaluating 4D flow MRI for abdominal imaging after TIPS placement show the potential for this technique to be an additional tool for interventional radiologists while enabling pre-procedure mapping and planning of the optimal stent graft configurations[151,152]. As a result, ideal outcome after TIPS placement can be obtained including pressure gradient reduction and long-term stent graft patency.


There is ample evidence that 4D flow MRI has potential to image the hemodynamics in patients with advanced liver cirrhosis and to measure altered blood flow parameters.

One of the main limitations of 4D flow MRI investigations addressing the liver and visceral blood flow is the small size of the patient and control cohorts in the clinical studies. This has a lot to do with the advanced clinical stages of patients suffering from worsening liver cirrhosis. It is difficult to obtain accurate data in patients with severe ascites, moreover, the compliance of patients with advanced stages of the disease is often poor. The imaging potential and therapeutic tools are sometime only palliative when treating patients with advanced liver cirrhosis, and we often have access to too few patients (e.g. Child-Pugh stage C). Their high mortality rate also makes a longitudinal study design with longer follow-up controls more difficult than, for example, examining patients with heart diseases. Nevertheless, our aim should be to carry out large multicenter cohort studies reflecting different manifestations of liver cirrhosis in order to further validate the 4D flow MRI technique in a clinical setting.

Validation of the 4D flow MRI method is another limitation: studies have already compared 4D flow MRI to Doppler US, the clinical gold standard, in many body regions[158,170] including hepatic and visceral blood flow[116,149]. 4D flow MRI provides good scan-rescan variability and low inter- intra-observer variability[116,149,158,170], although most of those studies’ subjects were healthy volunteers, and few patients with liver cirrhosis were monitored during follow-up. We will need further clinical cohort studies to assess the accuracy of the quantitative 4D flow MRI results in comparison with invasive measurements of hemodynamic parameters.

A further limiting factor of the 4D flow MRI sequence is still the spatial and temporal resolution. The Cartesian 4D flow MRI approach has particular limitations in capturing the small intrahepatic vessels and hepatic arteries. With its superior resolution, the radial 4D flow MRI sequence visualizes the vessel system impressively. 4D flow MRI methods require further improvements to enhance the accuracy of quantitative results in the small vessels. Another limitation of 4D flow MRI compared to Doppler US is the acquisition of data over several cardiac cycles averaging over time. This issue is a concern in the arteries especially, less so in the portal venous system, whose peak velocities and flow volume values are slightly lower and do not reveal brief time variations in blood flow. The 4D flow MRI sequence is still being researched. The shortage of freely-available software packages, the time it takes to perform the pre- and post-processing, and the lack of a standardized approach for data evaluation are additional factors that limit the broader clinical application of this method. A collective endeavor is needed from clinicians, researchers and manufacturers to pave the way for greater availability of the 4D flow MRI sequence and consequent increased clinical applications. Further developments should focus on refining the clinical workflow, on presenting the acquired data to clinical colleagues, and on improving the accessibility of results from within existing patient archives.


4D flow MRI has been validated for the clinical assessment of the liver blood flow in patients with advanced liver cirrhosis. It is an MRI technique that can examine the patient from a functional perspective as a part of “one-stop-shopping”. More importantly, 4D flow MRI is a method that supplements Doppler US. It provides important additional information on the vessel system in difficult patients. The potential of 4D flow MRI is growing; the more advanced it becomes, the better we will understand the pathophysiology of liver cirrhosis and the dynamic alterations it causes. That, in turn, will ensure better patient management and more accurate risk stratification.


P- Reviewer: Thimmappa ND S- Editor: Yu J L- Editor: A E- Editor: Zhang DN

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