Wholeness and Information Processing in Biological Networks: An Algebraic Study of Network Motifs
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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.
KeywordsNetwork motifs wholeness information processing sheaves
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