Hepatocellular carcinoma (HCC) remains one of the major public health problems throughout the world. Although originally associated with tumorigenic processes, liver angiogenesis has also been observed in the context of different liver inflammatory, fibrotic, and ischemic conditions. Here we investigate the fractal dimension as a quantitator of non-Euclidean two-dimensional vascular geometry in a series of paired specimens of primary HCC and surrounding non-tumoral tissue, and discuss why this parameter might provide additional information regarding cancer behavior. The application of fractal geometry to the measurement of liver vascularity and the availability of a computer-aided quantitative method can eliminate errors in visual interpretation, and make it possible to obtain closer-to-reality numerals that are compulsory for any measurement process.
Animals ; Biomarkers ; Biomarkers, Tumor ; Biomechanical Phenomena ; Carcinoma, Hepatocellular ; blood supply ; pathology ; Humans ; Liver ; blood supply ; Liver Neoplasms ; blood supply ; pathology ; Neovascularization, Pathologic ; pathology

PURPOSE: Prostate cancer is the most frequent cancer in men in Europe. A major focus in urology is the identification of new biomarkers with improved accuracy in patients with low-risk prostate cancer. Here, we evaluated two-dimensional neovascular complexity in prostate tumor and nontumor biopsy cores by use of a computer-aided image analysis system and assessed the correlations between the results and selected clinical and pathological parameters of prostate carcinoma. MATERIALS AND METHODS: A total of 280 prostate biopsy sections from a homogeneous series of 70 patients with low-risk prostate cancer (Gleason score 3+3, prostate-specific antigen [PSA]<10 ng/mL, and clinical stage T1c) who underwent systematic biopsy sampling and subsequent radical prostatectomy were analyzed. For each biopsy, 2-microm sections were treated with CD34 antibodies and were digitized by using an image analysis system that automatically estimates the surface fractal dimension. RESULTS: Our results showed that biopsy sections without cancer were significantly more vascularized than were tumors. No correlations were found between the vascular surface fractal dimension and patient's age, PSA and free-to-total PSA ratios, pathological stage, Gleason score, tumor volume, vascular invasion, capsular penetration, surgical margins, and biochemical recurrence. CONCLUSIONS: The value of angiogenesis in prostate cancer is still controversial. Our findings suggest that low-risk prostate cancer tissues are less vascularized than are nontumor tissues. Further studies are necessary to understand whether angiogenesis is a hallmark of intermediate- and high-risk prostate cancer.
Adult ; Aged ; Biopsy, Needle ; Fractals ; Humans ; Image Processing, Computer-Assisted/methods ; Kallikreins/blood ; Male ; Middle Aged ; Neoplasm Grading ; Neoplasm Staging ; Neovascularization, Pathologic/*pathology ; Prostate/*blood supply ; Prostate-Specific Antigen/blood ; Prostatectomy ; Prostatic Neoplasms/*blood supply/pathology/surgery ; Retrospective Studies