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Fractal Analysis of CT Perfusion Images for Evaluation of Antiangiogenic Treatment and Survival in Hepatocellular Carcinoma

Rationale and Objectives

Tumor vascular heterogeneity is a recognized biomarker for cancer progression. Our purpose was to assess the tumor perfusion heterogeneity during antiangiogenic therapy in hepatocellular carcinoma (HCC) by means of fractal analysis on computed tomography perfusion (CTP) images.

Materials and Methods

Twenty-two patients (15 men and 7 women; mean age: 61.5 years) with advanced HCC underwent CTP at baseline and 2 weeks after administration of bevacizumab. Perfusion maps of blood flow (BF) were generated by the adiabatic approximation to the tissue homogeneity model with a motion registration, and fractal analyses were applied to gray-scale perfusion maps using a plugin tool on ImageJ software (NIH, Bethesda, MD). A differential box-counting method was applied, and the fractal dimension (FD) was calculated as a heterogeneity parameter.

Results

Patients were grouped into favorable progression-free survival (PFS) group (PFS>6 months, 11 patients) and unfavorable PFS group (PFS≤6, 11 patients). After 2 weeks of antiangiogenic therapy, the BF decreased significantly ( P < .0001), whereas the FD showed no significant change ( P = .69). The percent change of the FD in tumor BF was significantly different between patients with favorable PFS and those without (−2.52% vs. 3.72%, P = .01), whereas the change of tumor BF showed no significant difference between them (−28.93% vs. −25.47%, P = .64). In Kaplan–Meier analysis, patients with greater reduction in the percent change of FD and lower baseline FD in tumor BF showed significantly longer overall survival ( P = .009, P = .005).

Conclusions

Fractal analysis of tumor BF can be a biomarker for antiangiogenic therapy.

Despite various therapeutic options, hepatocellular carcinoma (HCC) is still the third most common cause of cancer-related mortality worldwide . HCC is a highly vascularized tumor with an elevated level of vascular endothelial growth factor (VEGF) and high microvessel density (MVD) . Greater expression of VEGF, which leads to focal leaks in tumor vessels, causing nonuniform blood flow (BF) and heterogeneous delivery of drugs and oxygen , has been associated with shorter survival in patients with HCC . Therefore, inhibition of angiogenesis represents a potential therapeutic target in HCC, and a large number of antiangiogenic agents are currently being tested for the treatment of HCC . For example, the Sorafenib HCC Assessment Randomized Protocol trials showed an improved overall survival (OS) in patients with advanced HCC on treatment with the antiangiogenic and antiproliferative agent sorafenib .

These responses are currently assessed by Response Evaluation Criteria in Solid Tumors (RECIST) . However, RECIST has been recognized for their limitation in assessing the antitumor activity of antiangiogenic therapies, because antiangiogenic agents suppress tumor growth by downregulating angiogenesis without causing much morphologic change . In this context, functional vascular imaging techniques such as computed tomography perfusion (CTP) or dynamic contrast-enhanced magnetic resonance imaging (MRI) are highly promising . In HCC, significant decreases in tumor blood perfusion measured by CTP or DCE-MRI after antiangiogenic treatments have been reported . These perfusion changes are consistent with the vascular normalization induced by antiangiogenic therapy . The reduction of heterogeneity in tumor perfusion has also been reported to be the process of vascular normalization during antiangiogenic therapy in in vitro studies . However, this heterogeneity change in tumor perfusion during antiangiogenic therapy has not yet been demonstrated in in vivo studies.

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Materials and methods

Patient Population

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Treatment

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Imaging Studies

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Image Processing

CTP technique

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Fractal Analysis

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Statistical Analysis

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Results

Patient Characteristics

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Changes of Tumor BF and FD in Tumor BF after 2 Weeks of Bevacizumab

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Table 1

Tumor BF and FD in Tumor BF at Baseline and 2 Weeks after Antiangiogenic Therapy

Baseline After 2 Weeks_P_ BF 28.33 ± 9.60 20.65 ± 10.24 <.0001 FD 1.07 ± 0.12 1.07 ± 0.12 .69

BF, blood flow; FD, fractal dimension.

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Tumor BF and FD in Tumor BF at Baseline and after 2 Weeks of Bevacizumab between Favorable and Unfavorable PFS Groups of HCC

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Table 2

Baseline Magnetic Resonance–derived Parameters and Clinical Features

Baseline After 2 Weeks PFS ≤ 6 Months PFS > 6 Months_P_ PFS ≤ 6 Months PFS > 6 Months_P_ BF 29.54 ± 9.93 27.11 ± 9.57 .55 20.87 ± 10.36 20.43 ± 10.61 .94 FD 1.05 ± 0.13 1.08 ± 0.12 .39 1.09 ± 0.13 1.05 ± 0.12 .47

BF, blood flow; FD, fractal dimension; PFS, progression-free survival.

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Correlations of the Changes of Tumor BF and FD in Tumor BF with PFS and OS

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Table 3

Correlation between Percent Changes of BF and FD and PFS

PFS ≤ 6 Months PFS > 6 Months_P_ ΔBF (%) −25.47 ± 30.79 −28.93 ± 15.06 .64 ΔFD (%) 3.72 ± 6.24 −2.51 ± 3.21.01

ΔBF, percent change of BF; ΔFD, percent change of FD in tumor BF; PFS, progression-free survival.

Figure 1, There was a significant difference of the fractal dimension (FD) in tumor blood flow (BF) between the favorable and unfavorable progression-free survival (PFS) groups ( P = .01).

Figure 2, A 53-year-old man with unfavorable progression-free survival. (a) Baseline and (b) after therapy. The patient showed a 20.55% increase in the fractal dimension of the tumor blood flow after antiangiogenic therapy.

Figure 3, A 73-year-old woman with favorable progression-free survival. (a) Baseline and (b) after therapy. The patient showed a 7.40% reduction in the fractal dimension of tumor blood flow after antiangiogenic therapy.

Figure 4, Receiver operating characteristics (ROC) analysis was performed to evaluate the diagnostic value of percent change of fractal dimension (FD) to distinguish between patients with unfavorable progression-free survival (PFS) and those with favorable PFS. The area under the ROC curves was 0.82, which demonstrated that percent change of FD is a favorable predictor of PFS (TP, true positive).

Figure 5, Patients with greater reduction in the percent change of fractal dimension (FD) showed significantly longer overall survival (OS).

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Correlation between Baseline FD in Tumor BF and OS

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Figure 6, Patients with lower fractal dimension (FD) tumors survived significantly longer than those with high-FD tumors. (OS, overall survival).

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Discussion

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Conclusions

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