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In order to define a new method for analyzing the immune system within the realm of Big Data, we bear on the metaphor provided by an extension of Parisi's model, based on a mean field approach. The novelty is the multilinearity of the couplings in the configurational variables. This peculiarity allows us to compare the partition function Z with a particular functor of topological field theory-the generating function of the Betti numbers of the state manifold of the system-which contains thedoi:10.1007/s11047-014-9436-7 pmid:26300712 pmcid:PMC4541713 fatcat:bdnms2lnpref5iw4364krylyyy