@article{bb9091eb30744c5899ca10127c61643d,
title = "Duality between decomposition and gluing: A theoretical biology via adjoint functors",
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 = "Adjunction, Anticipation, Cycle, Glue, Line-graph",
author = "Taichi Haruna and Gunji, {Yukio Pegio}",
note = "Funding Information: We greatly acknowledge Professor T. Tsujishita for helpful suggestions. We are also grateful to Dr. J. Webb for reading the manuscript carefully and correcting English. This research was supported by the 21st century COE program from the JSPS. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.",
year = "2007",
month = nov,
doi = "10.1016/j.biosystems.2007.02.008",
language = "English",
volume = "90",
pages = "716--727",
journal = "Currents in modern biology",
issn = "0303-2647",
publisher = "Elsevier Ireland Ltd",
number = "3",
}