Quantification of tissue sections : Graph theory and topology as modelling tools

Abstract Tissue sections consist of distributed objects, the nuclear profiles. A methodological tool box is presented, based on graph theory and topology, to describe formally the arrangement of such objects, to define agglomerations of objects in a hierarchical manner and to compute quantitative features for every object. For a set of tissue sections (conisates) from the cervix uteri , a model description and an evaluation are given.