Skip to main content

Research Repository

Advanced Search

Structure versus function: a topological perspective on immune networks

Hart, Emma; Bersini, Hugues; Santos, Francisco


Hugues Bersini

Francisco Santos


Many recent advances have been made in understanding the functional implications of the global topological properties of biological networks through the application of complex network theory, particularly in the area of small-world and scale-free topologies. Computational studies which attempt to understand the structure–function relationship usually proceed by defining a representation of cells and an affinity measure to describe their interactions. We show that this necessarily restricts the topology of the networks that can arise—furthermore, we show that although simple topologies can be produced via representation and affinity measures common in the literature, it is unclear how to select measures which result in complex topologies, for example, exhibiting scale-free functionality. In this paper, we introduce the concept of the potential network as a method in which abstract network topologies can be directly studied, bypassing any definition of shape-space and affinity function. We illustrate the benefit of the approach by studying the evolution of idiotypic networks on a selection of scale-free and regular topologies, finding that a key immunological property—tolerance—is promoted by bi-partite and heterogeneous topologies. The approach, however, is applicable to the study of any network and thus has implications for both immunology and artificial immune system


Hart, E., Bersini, H., & Santos, F. (2009). Structure versus function: a topological perspective on immune networks. Natural Computing,

Journal Article Type Article
Publication Date Jun 17, 2009
Deposit Date Jan 27, 2010
Print ISSN 1567-7818
Electronic ISSN 1572-9796
Publisher BMC
Peer Reviewed Peer Reviewed
Keywords Topology; complex networks; artificial immune systems; tolerance;
Public URL
Publisher URL