This study demonstrates the diagnostic value of integrating IVIM-DWI histogram analysis with peripheral blood biomarkers to stratify HCC differentiation grades. In contrast to previous studies, which have primarily focused on either mean IVIM values or single serum markers, our work introduces the novelty of a combined multiparametric model that captures both intratumoral microstructural heterogeneity and systemic inflammatory status. This integrated approach addresses a critical gap in the literature by moving beyond isolated modalities, providing a reproducible and clinically relevant framework.
5.1. Rationale for the Fifth Percentile D-Value and External Context of the Cutoff
Emphasis on the 5th percentile of the true diffusion coefficient (D5th) is well-supported by prior research, which has demonstrated that lower-tail diffusion metrics capture the most densely cellular, least perfused tumor voxels driving histologic aggressiveness. Multiple studies have reported D5th (or closely related lower-percentile diffusion measures) as among the most discriminative IVIM features for adverse pathology, including MVI and higher tumor grade. Notably, whole-tumor IVIM histogram analyses have identified D5th as the single most informative parameter for adverse biology in HCC, with recent diffusion-histogram studies in liver cancer reporting optimal lower-tail thresholds for related diffusion metrics in the approximate range of 0.50 × 10-3 mm2/s. Our internally derived D5th cutoff of less than 0.45 × 10-3 mm2/s is therefore numerically consistent with, and biologically concordant with, these reports, while being specifically tuned to our acquisition parameters and cohort characteristics.
We selected a multivariable logistic regression model to favor interpretability, clinical portability, and transparent effect estimates for each imaging and blood-based marker. However, recent advances in computational pathology and multi-omics have enabled the integration of thousands to millions of features using transformer and foundation-model architectures, often achieving high AUC values in slide-level cancer tasks. Conceptually, the strengths of our model are (1) no requirement for tissue sampling, (2) low computational cost, (3) explainability, and (4) easy deployment alongside routine MRI and laboratory tests. In contrast, transformer-based whole-slide systems and foundation models can exploit rich morphological phenotypes but require digitized histopathology, larger datasets, and careful domain adaptation.
The IVIM histogram metrics — particularly lower-tail diffusion (D5th) — carry signal for MVI by capturing densely cellular, poorly perfused tumor subregions. In our cohort, low D5th in combination with adverse serologic markers corresponded to an aggressive phenotype and complemented existing MRI/radiomics evidence for MVI risk stratification. For very-early HCC, IVIM histograms aid in characterization but perform best when combined with hepatobiliary-phase and peritumoral features, serving as complementary rather than stand-alone detectors. Compared with transformer-based pathology/radiomics pipelines, our multivariable model is preoperative, tissue-sparing, inexpensive, and interpretable; prospective head-to-head benchmarking and multicenter standardization of b-values and histogram extraction are planned.
Beyond imaging-pathology, network-based multi-marker selection approaches (e.g., NetAUC and related graph/penalized methods) systematically identify compact biomarker panels by optimizing joint discriminative performance within molecular interaction networks. Such methods could be layered onto our framework to discover additional serologic or genomic markers that synergize with IVIM histogram features. As a pragmatic next step, we plan (1) external validation of the current logistic regression model and (2) exploratory comparisons with transformer-derived slide features and network-optimized biomarker sets in a prospective cohort.
5.2. Interpretation of Intravoxel Incoherent Motion Diffusion Characteristics
The diffusion characteristics of tumor tissue as captured by the IVIM technique demonstrated a strong correlation with the histological differentiation of HCC. Specifically, the fifth percentile of the true diffusion coefficient and the skewness of the diffusion map emerged as key differentiators between low-grade and high-grade tumors (
17). Poorly differentiated tumors exhibited significantly reduced diffusion values and higher skewness, which are indicative of increased cellular density and heterogeneity. The low diffusion values reflect restricted water mobility within densely packed tumor cells, a hallmark of high cellular proliferation and reduced extracellular space (
18). Increased skewness suggests a rightward asymmetric distribution of diffusion values, indicating a substantial proportion of restricted diffusion voxels within the tumor mass. These imaging features are consistent with previous radiological-pathological correlation studies that have reported a progressive decline in diffusion metrics with decreasing histological differentiation.
Our imaging–biomarker phenotype of low D5th (restricted diffusion) combined with elevated AFP, NLR, and CRP aligns with molecular evidence for aggressive cell-cycle dysregulation in HCC. For instance, PSMD12-mediated stabilization of CDK1 accelerates proliferation and migration; such phenotypes are expected to increase tumor cellularity and reduce extracellular space — features effectively captured by lower diffusion percentiles. Similarly, known hepatitis B virus (HBV) mutation patterns (e.g., rtA181T and core-promoter/preS variants) elevate HCC risk and can amplify systemic inflammation, potentially influencing blood-based biomarkers such as NLR and CRP. These mechanistic links support the biological plausibility of our combined signature.
To mitigate confounding, we adjusted for cirrhosis in multivariable analyses and, where available, recorded viral hepatitis status. Future studies will more granularly model HBV-specific factors (including viral load, genotype, and mutation profiles) as covariates or interaction terms, and evaluate whether the IVIM-biomarker model retains its performance across HBV-positive and HBV-negative strata.
Beyond routine serological markers, the addition of molecular markers that track epithelial-mesenchymal transition (EMT), angiogenesis, and metabolic rewiring may further enhance the discrimination of HCC grades. Angiopoietin-like 4 (ANGPTL4) is a secreted protein with context-dependent roles in cancer biology and has been associated with aggressive HCC phenotypes; functional studies indicate that deletion or knockdown of ANGPTL4 reduces HCC cell viability, migration, and invasion in vitro. Clinical studies have also reported elevated circulating ANGPTL4 in liver disease and HCC, supporting the feasibility of serum assays. Given that the low-percentile diffusion metric (D5th) reflects densely cellular, hypoperfused tumor subregions, incorporating a serum ANGPTL4 term may capture complementary biological information. In a prospective cohort, we plan to conduct a nested-model evaluation [ΔAUC with DeLong test, net reclassification improvement (NRI), and integrated discrimination improvement
(IDI)] comparing IVIM plus AFP, NLR, and CRP versus IVIM plus AFP, NLR, CRP, and ANGPTL4, in addition to applying regularized or network-guided feature selection for broader multi-marker panels.
Perfusion-related parameters derived from IVIM imaging also demonstrated diagnostic relevance. The perfusion fraction (f) was significantly lower in poorly differentiated tumors, a finding attributable to the disorganized and dysfunctional neovascular architecture characteristic of aggressive malignancies. High-grade HCC often displays chaotic vasculature, resulting in perfusion heterogeneity and reduced microvascular flow (
19,
20). This impairment is reflected in decreased f-values on IVIM maps. Moreover, histogram-based analysis of f-values, particularly at the lower percentiles, provided additional granularity by capturing subtle regional variations within the tumor. These findings underscore the value of whole-volume histogram analysis, which accounts for spatial heterogeneity and avoids the sampling bias inherent in single-region regions of interest (
4,
21,
22).
Near-infrared (NIR) activatable probes and fluorescence-guided surgery using indocyanine green (ICG) or next-generation activatable dyes offer high lesion-to-background contrast and real-time visualization of tumor margins, with increasing preclinical and early clinical evidence in HCC. Such agents are particularly valuable intraoperatively for margin assessment and satellite nodule detection; however, most remain investigational, require specialized optical systems, and are not yet widely accessible. By contrast, our imaging-biomarker framework is entirely preoperative, relies on standard MRI and routine laboratory tests, and can be implemented without the need for new tracer approvals. Accordingly, activatable probes serve as complementary tools for surgical guidance, while our approach targets preoperative biological grading to inform treatment selection and surveillance.
Recent nomograms for predicting portal vein tumor thrombus (PVTT) risk utilize readily available clinical and laboratory variables, offering low-cost, widely applicable tools for preoperative stratification of vascular invasion risk. These models address a related, yet distinct, question — macrovascular invasion — rather than histological differentiation. In clinical practice, a PVTT nomogram can triage risk of vascular involvement, while our IVIM-biomarker model characterizes intratumoral differentiation. Together, these approaches can support surgical candidacy, transplant allocation, and decisions regarding adjuvant strategies. Future work may integrate a PVTT-probability term as a covariate alongside our histogram features and blood markers, yielding a unified risk score encompassing both vascular invasion and tumor grade. Activatable probes, especially those beyond ICG, currently face high costs associated with agent synthesis, regulatory approval, and optical hardware, and their utility is largely confined to intraoperative scenarios. The PVTT nomograms are inexpensive and easy to implement but cannot replace biological grading. Our framework leverages existing diagnostic modalities (MRI and routine laboratory tests), enabling broad adoption with minimal incremental resource requirements. From a health-system perspective, aligning modalities by clinical role — PVTT nomograms for vascular risk, activatable fluorescence for surgical navigation, and IVIM plus biomarkers for biological grading — offers a pragmatic, cost-efficient pathway to improved outcomes without duplicative testing. Prospective health-economic analyses comparing these strategies at key decision points (resection versus ablation versus transplant) are warranted.
In our cohort, interobserver agreement for key histogram metrics was excellent (ICCs ≥ 0.80). However, cross-scanner variability remains a well-recognized challenge for IVIM histogram analysis. Absolute values can vary due to vendor, field strength, b-value sampling, fitting method (mono- versus bi-exponential), motion control, and segmentation strategy, even when relative trends are preserved. We mitigated this by harmonizing 3T acquisition parameters, employing respiratory triggering, whole-lesion segmentation, and z-score normalization, and we observed stable performance during 5-fold cross-validation. For broader implementation, we recommend vendor-agnostic protocols, periodic phantom calibration, and post-hoc feature harmonization (e.g., ComBat) prior to modeling. Looking forward, coupling diffusion histograms with molecularly targeted imaging probes (such as hepatocyte- or angiogenesis-directed contrast agents or activatable probes for surgical correlation) may enhance biological specificity and reduce dependence on absolute IVIM values; however, these approaches entail additional costs and are not yet widely available. Prospective multicenter studies with predefined harmonization protocols and optional probe-based sub-studies are warranted.
In addition to imaging biomarkers, systemic inflammatory markers played a pivotal role in differentiating tumor grades. The NLR, reflecting the balance between pro-inflammatory and anti-tumor immune responses, was significantly higher in patients with poorly differentiated HCC. An elevated NLR indicates a systemic inflammatory state, which has been linked to tumor progression, angiogenesis, and immune evasion. Neutrophils secrete growth factors and matrix-degrading enzymes that facilitate tumor invasion, while lymphopenia signals impaired host immune surveillance. Thus, the NLR serves as a surrogate marker for tumor aggressiveness (
22-
26).
The CRP, another acute phase reactant, was also elevated in high-grade tumors. Its synthesis is induced by pro-inflammatory cytokines such as interleukin-6, which are commonly upregulated in the tumor microenvironment of aggressive malignancies. Elevated serum CRP levels reflect both tumor-related inflammation and the host’s systemic inflammatory response, further supporting its use as a biomarker in cancer grading (
27-
29).
The AFP, a conventional tumor marker for HCC, also showed a positive correlation with tumor grade. High-grade tumors demonstrated significantly higher AFP levels, consistent with increased proliferative activity and dedifferentiation. Although AFP lacks sensitivity in small or well-differentiated tumors, it remains a valuable component of multiparametric diagnostic strategies (
30,
31). The combination of AFP with imaging and inflammatory markers enhances diagnostic specificity and improves stratification of patients for appropriate therapeutic interventions.
The integration of imaging and biomarker data into a multivariate logistic regression model significantly improved the accuracy of tumor grade prediction. The combined model achieved an AUC of the ROC of 0.917, outperforming models based on imaging or biomarkers alone (
32-
34). This finding underscores the complementary nature of radiological and biochemical markers in capturing distinct aspects of tumor biology. While imaging reflects intratumoral microstructure and perfusion characteristics, systemic biomarkers provide insight into tumor-host interactions and systemic disease manifestations. Their integration allows for a holistic assessment of tumor aggressiveness and facilitates risk stratification.
The high accuracy of the combined model has important clinical implications. Preoperative assessment of tumor grade is essential for treatment planning, especially in patients undergoing liver transplantation or liver-sparing interventions. Poorly differentiated tumors are associated with higher risks of MVI, satellite nodules, and early recurrence following resection or ablation (
35). Accurate preoperative identification of such tumors enables clinicians to modify treatment strategies, including the selection of candidates for transplantation, the extent of resection, or the addition of neoadjuvant therapies. Moreover, patients with high-grade tumors may require closer surveillance after treatment due to their aggressive biological behavior.
The robustness of the imaging parameters was supported by strong interobserver agreement. The ICCs for histogram features exceeded 0.80, indicating excellent reproducibility. This is particularly significant for clinical adoption of advanced imaging biomarkers, as reproducibility is a critical requirement for standardization. The use of whole-lesion histogram analysis, rather than manual selection of single slices or hot spots, contributed to this reliability (
36). Additionally, the application of respiratory-triggered sequences and harmonized imaging protocols across scanners helped reduce variability, thereby enhancing the generalizability of the proposed method.
This study also addressed the issue of tumor heterogeneity, which is a major challenge in oncology. Tumor heterogeneity may manifest as regional differences in cellularity, necrosis, vascularity, and extracellular matrix composition. Histogram analysis captures this heterogeneity by evaluating the full distribution of pixel-wise parameter values within the tumor volume (
37,
38). For example, skewness and kurtosis quantify the asymmetry and peakedness of the parameter distribution, serving as indirect indicators of histological variability. High skewness, as observed in poorly differentiated tumors, suggests dominance of voxels with low diffusion values, possibly reflecting dense cellular foci. These radiomic features are increasingly recognized as imaging surrogates for molecular and genetic heterogeneity and may serve as noninvasive biomarkers for tumor grading, prognosis, and response prediction (
39,
40).
Despite these promising results, several limitations must be acknowledged. First, this was a retrospective study and may be subject to potential selection bias. Only patients with available preoperative IVIM imaging and complete laboratory data were included, which may limit generalizability. Second, although imaging protocols were standardized, scanner differences and variations in acquisition techniques may introduce subtle biases. Future prospective multicenter studies with protocol harmonization and external validation are needed to confirm these findings. Third, the sample size of high-grade tumors was relatively small compared to low-grade tumors. Although the statistical power was sufficient to detect significant differences, larger studies are warranted to improve the robustness of subgroup analyses. Another limitation is the exclusion of patients who received neoadjuvant treatment before imaging. While this ensured direct comparability between imaging and histological findings, it also excluded a potentially relevant subset of patients. Including such patients in future studies would enhance the clinical applicability of the model. Additionally, this study did not incorporate advanced radiomic or machine learning techniques beyond histogram analysis. Deep learning models or texture-based approaches may further refine the predictive capability of imaging features and should be considered in future work.
In summary, this study demonstrates that IVIM histogram parameters, when combined with peripheral inflammatory and tumor markers, can accurately predict the pathological differentiation of HCC. This multiparametric approach provides valuable preoperative information that complements traditional imaging assessment and histological evaluation. The high diagnostic accuracy, reproducibility, and biological interpretability of the proposed model support its potential for integration into clinical workflows. Further prospective validation and incorporation into decision-support systems are needed to facilitate widespread clinical adoption.