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Characterisation of the idiotypic immune network through persistent entropy
Rucco, Matteo
;
Castiglione, Filippo
;
Merelli, Emanuela
;
Pettini, Marco
In: Springer Proceedings in Complexity ; European Conference on Complex Systems (ECCS14) ; https://hal.archives-ouvertes.fr/hal-01260143 ; European Conference on Complex Systems (ECCS14), Sep 2014, Lucca, Italy. pp.117-128, ⟨10.1007/978-3-319-29228-1_11⟩ (2014)
Abstract:
International audience ; In the present work we intend to investigate how to detectthe behaviour of the immune system reaction to an external stimulus interms of phase transitions. The immune model considered follows Jerne'sidiotypic network theory. We considered two graph complexity measures- the connectivity entropy and the approximate von Neumann entropy -and one entropy for topological spaces, the so-called persistent entropy.The simplicial complex is obtained enriching the graph structure of theweighted idiotypic network, and it is formally analyzed by persistenthomology and persistent entropy. We obtained numerical evidences thatapproximate von Neumann entropy and persistent entropy detect theactivation of the immune system. In addition, persistent entropy allowsalso to identify the antibodies involved in the immune memory.
Keyword:
[INFO]Computer Science [cs]
;
Approximate von Neumann entropy
;
Complex net- works
;
Graph entropy
;
Idiotypic network
;
Information theory
;
Persistent entropy
;
Topological data analysis
URL:
https://hal.archives-ouvertes.fr/hal-01260143
https://doi.org/10.1007/978-3-319-29228-1_11
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