Correlation effects in synthetic idiotypic networks

Details Correlation effects in synthetic idiotypic networks Correlation effects in synthetic idiotypic networks

2011-12-09

arxiv.org/abs/1112.2066v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

We introduce a class of correlated weighted graphs whose properties are meant to mimic the topological features of idiotypic networks, namely the interaction networks involving the B-core of the immune system. Each node is endowed with a bit-string representing the epitopal specificity of the corresponding B cell, a proper distance between any couple of bit-strings provides the coupling strength between the two nodes. By assuming a biased distribution for the entries in bit-strings, we show that such a correlation can yield fringes in the (weighted) connectivity distribution, small- worlds features as well as scaling laws in agreement with experimental findings. We also investigate the role of ageing, thought of as a progressive increase in the degree of correlation (specificity), and we show that it can possibly induce mild percolation phenomena, which are investigated too.

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