In a standard case, arterial blood to the liver is provided by the aorta, which supplies blood through the celiac trunk and the common hepatic artery, which forms two branches: the proper hepatic artery (PHA) and the gastroduodenal artery. This split usually occurs at the omental foramen. The PHA bifurcates into the right (RHA) and left hepatic (LHA) arteries. The RHA is routed anteriorly to the portal vein (PV) and on the left side, posteriorly to the common bile duct (CBD). The RHA culminates in the anterior segmental artery, which supplies segments V and VIII, and the posterior segmental artery, which supplies segments VI and VII. In addition, the RHA usually supplies the cystic artery, which in turn supplies the gallbladder. The LHA runs vertically toward the umbilical fissure, and its segmental arterial branches supply segments I–III. A middle hepatic artery usually branches off the LHA and runs toward the right side of the umbilical fissure and, in one-third of cases, supplies the IV segment (9). Nevertheless, in the majority of cases, the IV segment is supplied by both the RHA and the LHA (9).

The prevalence of liver artery variations ranges from 20% to 50% of cases in different studies (10–12). The prevalence of aberrant arteries differs between studies (12, 13). Approximately 30% of patients have aberrant hepatic arteries, with similar prevalence rates for aberrant RHAs (15%) and aberrant LHAs (16%), and approximately 5% of the patients have both aberrant arteries (13). However, a previous study reported that an aberrant or accessory left hepatic artery arising from the left gastric artery was present in 3.0% of patients, while an aberrant or accessory right hepatic artery originating from the superior mesenteric artery was observed in 11.9% of cases (12). A combination of anomalies in both the LHA and RHA was observed in only 1.4% of the cases (12). One of the most popular classification systems for these variations is Michel’s classification. This is described in Table 1. The first three types are the most prevalent and are shown in Figure 2.

Hiatt’s classification system proposed a revised categorization of hepatic arterial anatomy, categorizing variations into six distinct types (14). In addition to this classification system, the study reported the frequency of each variant based on a cohort of 1,000 donors. Type 1 (n = 757) represents the typical arterial anatomy, in which the common hepatic artery arises from the celiac trunk and gives rise to the gastroduodenal artery and the proper hepatic artery. The proper hepatic artery then divides into the right and left hepatic branches. Types 2–6 represent less frequently encountered arterial variations (Table 2).

CT angiography is the preferred method for preoperative hepatic artery imaging because of its high spatial resolution, fast acquisition time, and low susceptibility to motion (15). In comparison, contrast-enhanced magnetic resonance (MR) angiography is an excellent quality imaging tool; however, prolonged breath holding is needed for better-quality images (16). Doppler US is used to evaluate liver transplants for arterial occlusion (17), which is identified by an absence of color.

Approximately 80% of the blood (3) flowing to the liver comes from the portal vein, which is usually formed by the fusion of the splenic and superior mesenteric veins. The inferior mesenteric vein most commonly drains into the splenic vein (3), but it can also drain into the superior mesenteric vein or the splenomesenteric confluence (18). The coronary (left gastric) vein, cystic vein, and tributaries of the right gastric and pancreaticoduodenal veins drain directly into the portal vein (19). There are rarer types of variations in portal venous anatomy (described in the literature as being prevalent in up to 5.2% of cases). These variations involve different patterns of formation and drainage of the PV, superior mesenteric vein (SMV), inferior mesenteric vein (IMV), accessory mesenteric vein (AccMV), left gastric vein (LGV), and splenic vein (SV). These variants include alternative PV formation (e.g., from two SMVs or with IMV contribution), variable tributary drainage of the IMV, AccMV, and LGV, duplication or absence of the IMV, and uncommon venous configurations (20).

Further branching of the portal vein has been classified by Nakamura et al. (21) and Cheng et al. (22) (Table 3). Typical portal vein branching occurs in up to 80% of the population (18, 23), and the most common variation is portal vein trifurcation (Figures 3A,B). The portal vein divides the liver into upper and lower segments (3). The portal vein enters the liver on the posterior side and divides into two branches, the right and left portal veins, near the liver hilum. The left portal vein supplies blood to the caudate lobe and segments II, III, and IVa/b. The right portal vein divides into posterior and anterior branches (19). The posterior branch of the right portal vein supplies blood to segments VI and VII, while the anterior branch of the right portal vein supplies blood to segments V and VIII (24).

Doppler US is useful for evaluating the portal venous system as US itself is non-invasive, inexpensive, portable, generally well-tolerated by patients, and presents no ionizing radiation (16, 25–27). Moreover, it is widely available and provides insight into venous flow (not just anatomical images) (25). However, the quality of the view depends heavily on the patient's cooperation and biotype (26), along with the operator’s ability (16). Therefore, in some cases, other imaging techniques are required after Doppler US (26). In the majority of facilities, CT is the preferred imaging method for the portal venous system due to its ability to quickly provide high-resolution images and create three-dimensional reconstructions and high-quality multiplanar reformations (26). MRI can also be used. In comparison to CT, MRI's advantages are the absence of intravenous contrast and radiation during the procedure (26). However, it is more expensive, takes longer, and is less accessible. It also has poorer spatial and temporal resolution and is more susceptible to artifacts (27).

The liver's blood outflow is carried through the right, middle, and left hepatic veins (3) (Figure 3C). The right hepatic vein typically drains directly into the inferior vena cava (IVC) (19). The left and middle hepatic veins may drain directly into the IVC; however, more commonly, they merge and form a short trunk before entering the IVC (19). This common trunk anatomy is found in approximately 70%–81% of cases (27–29). An accessory inferior right hepatic vein is also present in up to 48% of the population (29, 30) (Figure 3D).

Hepatic vein radiology is less extensively researched compared to that of hepatic arteries and portal veins. The US is the first-line imaging tool due to its accessibility and cost-effectiveness. Additionally, it provides real-time imaging; however, the results depend heavily on the operator's experience. Moreover, some cardiological conditions, such as sinus bradycardia or sinus tachycardia, can influence the results of Doppler US (31). CT provides a detailed anatomical view and assessment of the surrounding structures (16, 32). MRI additionally provides information on soft tissues, liver lesions, and their stiffness (32).

Bile is produced in the liver parenchyma and is delivered by the biliary tree to the gallbladder and the duodenum. The biliary tree consists of the intrahepatic and extrahepatic bile ducts. The right anterior sectoral duct (RASD), which delivers bile from liver segments V and VIII, together with the right posterior sectoral duct (RPSD), which delivers bile from liver segments VI and VII, forms the right hepatic duct (RHD). The RHD merges with the left hepatic duct (LHD) to form the common hepatic duct (CHD). A small duct from the I (caudate) lobe drains bile into this junction (33, 34).

Variations in the anatomy of the biliary tree are common and may only be detected during surgery or intervention. Extrahepatic variants increase the technical difficulty of procedures such as cholecystectomy and increase the risk of an iatrogenic bile duct injury, leading to bile leaks postoperatively.

The cystic duct from the gallbladder passes into the right side of the CHD and, together with the CHD, forms the CBD. The CBD passes through the free edge of the lesser omentum and runs posteriorly to the duodenum and anteriorly to the inferior vena cava (31). The CBD merges with the main pancreatic duct to form the ampulla of Vater, which drains into the major duodenal papillae in the D2 segment of the duodenum. Normal biliary tree anatomy is present in up to 60% of the population (35, 36) (Figure 4A). The most common intrahepatic biliary tree variation, i.e., when the RPSD drains directly into the LHD without merging with the RASD, is reported in 13%–19% of cases (35) (Figure 4B). In 11%–12% of the population, the RPSD drains into the anterior, instead of the posterior, side of the RASD or RPSD, together with the RASD and LHD, forming the CHD through a triple confluence (Figure 4C). Other intrahepatic variations are rarely presented in the literature (Figure 4D). The three most common extrahepatic biliary tree variations are cystic duct medial insertion from the left side of the CHD (15% frequency), cystic duct insertion into the distal third of the CHD (10%), or a parallel path to the CHD of 2 cm or more (10%) (37).

CT cholangiography with contrast was previously used to image the biliary tree, but due to adverse reactions to the contrast agents and lower performance, it has been replaced by MR cholangiography (MRC) (15, 38). 2D MRC images can be taken during a single breath hold, but they can be affected if there are superimposed fluid-filled structures (e.g., the stomach or duodenum). This can lead to an incomplete evaluation of the biliary tree. 3D MRC provides better visualization of smaller-diameter intrahepatic structures and can create a 3D reconstruction; however, it is usually longer (13). Studies have shown that when 2D and 3D MRC are combined, their accuracy when depicting biliary anatomy reaches 84.6%–90.4% (39).

From a clinical standpoint, awareness of anatomical variations is crucial across multiple medical specialties. For radiologists, this knowledge enhances accurate imaging interpretation and pre-operative mapping, particularly by allowing them to distinguish normal variants from pathological findings. For surgeons, it can inform the surgical strategy and reduce the risk of iatrogenic injury during resection or transplantation. For oncologists, these anatomical considerations are important for precise tumor localization and regional treatment planning, enabling more accurate staging and optimized therapeutic decision-making.