Many cytological processes such as cell proliferation, differentiation
, transformation, apoptosis, etc., are accompanied by specific chromat
in changes, usually identified on the basis of the relative content of
euchromatin and heterochromatin. In order to achieve a quantitative,
non-subjective evaluation of the chromatin pattern, two different appr
oaches may be undertaken, one consisting in the analysis of the severa
l morphological features of chromatin grains (size, shape, density, ar
rangement, and distribution), and the second consisting in the analysi
s of the chromatin globally considered as a coherent texture. Although
the second approach appears to be simpler and more suitable, methods
of texture analysis-including those specifically designed for the anal
ysis of the chromatin pattern-are rarely applied due mainly to the uns
uitability of sampling procedures and the excessive crypticism of resu
lts. As an alternative to traditional texture analysis, we suggest a m
ethod supported by a sound mathematical theory and approximately 30 ye
ars of applications in the field of geostatistics. The method, called
variogram, analyzes the intrinsic structure of data sampled at differe
nt distance intervals and directions, and outputs easily understandabl
e results. Recently, variogram analysis has successfully been exported
from geostatistics to other fields (for example, ecology and epidemio
logy) that make use of spatially referenced variables. Based on the fa
ct that pixels represent a perfect array of data ordered at regular di
stance intervals and directions, the variogram can be adopted to explo
re nuclear images and recognize chromatin patterns. Variograms of diff
erent nuclei can be summarized by multivariate methods without the nee
d of previous standardization of data. This allows comparison and disc
rimination of chromatin patterns from mixed cell populations. Prelimin
ary data obtained from young neurons undergoing massive apoptosis reve
al a self-consistent map of nuclear changes correlated to the degenera
tive process. (C) 1997 Wiley-Liss, Inc. <INF>