Jcm. Mombach et al., 2-CELL CORRELATIONS IN BIOLOGICAL TISSUES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(5), 1993, pp. 3712-3716
We present two-cell correlation functions m(l)(n), which give the aver
age number of l-sided cells adjacent to n-sided ones, obtained experim
entally from vegetable tissues and through a numerical simulation that
includes mitosis of biological-tissue growth. The correlation functio
ns are not always linear in n, but the Aboav-Weaire law is obeyed, ind
icating that it is valid for biological tissues and that recent argume
nts applied to purely topological models are not valid for all natural
systems.