title: 2-D index as a measure for estimating the complexity degree of 3-D sinusoidal structures in the normal and cirrhotic liver and in hepatocellular carcinoma.
abstract: OBJECTIVE
  To evaluate the usefulness of a two-dimensional (2-D) index from a single tissue section as a measure for estimating the complexity degree of three-dimensional (3-D) sinusoidal structure in normal and cirrhotic liver and in hepatocellular carcinoma (HCC).
  
  
  METHODS
  The number of sinusoidal profiles, or 2-D index, in a given square area 400 x 400 microns 2 on a single tissue section was counted. The number was compared with the first Betti number of 3-D sinusoidal structures, obtained from previous reconstruction studies.
  
  
  RESULTS
  The mean number of sinusoidal profiles (+/- SD) was 104.2 +/- 13.1 in 5 normal livers, 77.0 +/- 15.8 in 10 cirrhotic livers and 34.0 +/- 10.7 in 10 HCCs. Each difference between the three groups was statistically significant (P < .01). The number of sinusoidal profiles was approximately linearly related to the first Betti number of the sinusoids. The correlation coefficient = .77.
  
  
  CONCLUSIONS
  The 2-D index, or number of sinusoidal profiles in a given area on a single tissue section, was useful for estimating the degree of complexity of the 3-D sinusoidal network.
authors.affiliation: Department of Pathology, Juntendo University School of Medicine, Tokyo, Japan.
authors.forename: H
authors.initials: H
authors.lastname: Shimizu
authors.forename: K
authors.initials: K
authors.lastname: Suda
mesh_terms: D006528:Carcinoma, Hepatocellular / Q000473:pathology*; D006801:Humans; D008099:Liver / Q000473:pathology*; D008103:Liver Cirrhosis / Q000473:pathology*; D008113:Liver Neoplasms / Q000473:pathology*; D015233:Models, Statistical