R. Chiba et T. Takahashi, QUANTITATIVE MORPHOLOGY OF HUMAN CIRRHOTIC LIVERS .1. PARAMETER EXPRESSION OF PATTERN AS A BASIS FOR COMPUTERIZED CLASSIFICATION, Pathology international, 44(9), 1994, pp. 662-671
Although classification is a long-used method of histopathology, a rep
roducible one has yet to be created. We established a most adequate cl
assification of cirrhosis from a geometric and statistical point of vi
ew, by reducing its form to a set of quantities and submitting the dat
a to multivariate analysis. In this article, methods for quantificatio
n are described as a preliminary step for the statistical treatment th
at appears in another paper. The pattern was reduced to a Set of four
quantities: (i) the mean nodular radius; (ii) the coarseness; (iii) th
e mean septal thickness; and (iv) the degree of nodular separation. A
model of dispersed spheres with various radii r was employed to assimi
late cirrhosis; r was assumed to follow a logarithmic normal distribut
ion. The parameters of this distribution were estimated stereologicall
y from measurements on microscopic sections of chord lengths lambda ge
nerated from nodules by a test line. The coarseness was defined as the
volume % of nodules larger than 1.5 mm in r. The mean septal thicknes
s was determined stereologically on a plate model, into which the actu
al septa were transformed without changing their volume or surface den
sity. The degree of nodular separation p(theta) was defined as a two-d
imensional parameter, based on the curvature of nodulo-septal borders.
It was demonstrated in several examples how accurately a set of these
quantities describes various patterns of cirrhosis.