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Abstract: 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.

[1] Carmeliet, P., 2003. Angiogenesis in health and disease. Nat. Med., 9(6):653-660.

[2] Farazi, P.A., DePinho, R.A., 2006. Hepatocellular carcinoma pathogenesis: from genes to environment. Nat. Rev. Cancer, 6(9):674-687.

[3] Grizzi, F., Chiriva-Internati, M., 2006. Cancer: looking for simplicity and finding complexity. Cancer Cell Int., 6(1):4.

[4] Grizzi, F., Colombo, P., Barbieri, B., Franceschini, B., Roncalli, M., Chiriva-Internati, M., Muzzio, P.C., Dioguardi, N., 2001. Correspondence re: E. Sabo et al., Microscopic analysis and significance of vascular architectural complexity in renal cell carcinoma. Clin. Cancer Res., 7:533-537, 2001. Clin. Cancer Res., 7(10):3305-3307.

[5] Grizzi, F., Franceschini, B., Hamrick, C., Frezza, E.E., Cobos, E., Chiriva-Internati, M., 2007. Usefulness of cancer-testis antigens as biomarkers for the diagnosis and treatment of hepatocellular carcinoma. J. Transl. Med., 5(1):3.

[6] Hand, D.J., 2004. Measurement: Theory and Practice. Arnold, New York.

[7] Hlatky, L., Hahnfeldt, P., Folkman, J., 2002. Clinical application of antiangiogenic therapy: microvessel density, what it does and does not tell us. J. Natl. Cancer Inst., 94(12):883-893.

[8] Jain, R.K., 2005. Normalization of tumor vasculature: an emerging concept in antiangiogenic therapy. Science, 307(5706):58-62.

[9] Jemal, A., Murray, T., Ward, E., Samuels, A., Tiwari, R.C., Ghafoor, A., Feuer, E.J., Thun, M.J., 2005. Cancer statistics, 2005. CA Cancer J. Clinicians, 55(1):10-30.

[10] Mandelbrot, B.B., 1983. The Fractal Geometry of the Nature. Freeman, San Francisco.

[11] Marion-Audibert, A.M., Barel, C., Gouysse, G., Dumortier, J., Pilleul, F., Pourreyron, C., Hervieu, V., Poncet, G., Lombard-Bohas, C., Chayvialle, J.A., et al., 2003. Low microvessel density is an unfavorable histoprognostic factor in pancreatic endocrine tumors. Gastroenterology, 125(4):1094-1104.

[12] Medina, J., Arroyo, A.G., Sanchez-Madrid, F., Moreno-Otero, R., 2004. Angiogenesis in chronic inflammatory liver disease. Hepatology, 39(5):1185-1195.

[13] Sharma, S., Sharma, M.C., Sarkar, C., 2005. Morphology of angiogenesis in human cancer: a conceptual overview, histoprognostic perspective and significance of neoangiogenesis. Histopathology, 46(5):481-489.

[14] Thorgeirsson, S.S., Lee, J.S., Grisham, J.W., 2006. Functional genomics of hepatocellular carcinoma. Hepatology, 43(2 Suppl 1):S145-150.

[15] Zerbini, A., Pilli, M., Ferrari, C., Missale, G., 2006. Is there a role for immunotherapy in hepatocellular carcinoma? Dig. Liver Dis., 38(4):221-225.

[16] Zhou, L., Liu, J., Luo, F., 2006. Serum tumor markers for detection of hepatocellular carcinoma. World J. Gastroenterol., 12(8):1175-1181.