Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
2076578 | Biosystems | 2007 | 12 Pages |
Abstract
Two ideas in theoretical biology, 'decomposition into functions' and 'gluing functions', are formalized as endofunctors on the category of directed graphs. We prove that they constitute an adjunction. The invariant structures of the adjunction are obtained. They imply two biologically significant conditions: the existence of cycles in finite graphs and anticipatory diagrams.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Modelling and Simulation
Authors
Taichi Haruna, Yukio-Pegio Gunji,