Abstract
In this paper we address network motifs found in information processing biological networks. Network motifs are local structures in a whole network on one hand, they are materializations of a kind of wholeness to have biological functions on the other hand. We formalize the wholeness by the notion of sheaf. We also formalize a feature of information processing by considering an internal structure of nodes in terms of their information processing ability. We show that two network motifs called bi-fan (BF) and feed-forward loop (FFL) can be obtained by purely algebraic considerations.
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Haruna, T., Gunji, YP. (2009). Wholeness and Information Processing in Biological Networks: An Algebraic Study of Network Motifs. In: Suzuki, Y., Hagiya, M., Umeo, H., Adamatzky, A. (eds) Natural Computing. Proceedings in Information and Communications Technology, vol 1. Springer, Tokyo. https://doi.org/10.1007/978-4-431-88981-6_6
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DOI: https://doi.org/10.1007/978-4-431-88981-6_6
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-88980-9
Online ISBN: 978-4-431-88981-6
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