2001 , September, Volume 1, Issue 1, p. 5-9
I. P. Avalishvili
Institute of Cybernetics, Georgian Academy of Sciences, Sandro Euli 5, 380086 Tbilisi, Georgia. E-mail: irakli_a@yahoo.com
Isomorphism between morphological and functional graphs of the cell and classification of cells by the extensions of graphs
Morphological and functional graphs of the cell are constructed, expressing dynamic ontogenetic transformations between six different types of membranes of organelles and the interrelations between six different functions of vital significance for the cell. Morphisms (epimorphisms) from different biological graphs to a functional graph are constructed. It is shown that there exists an isomorphism between morphological and functional graphs which expresses the most essential forms of vital processes. It is further shown that the components with vital functions transform and transfer to each other. To classify and construct cell structures the apparatus for extensions of graphs developed by the author is used, which enables hierarchical biological systems to be described.