Giulia Menichetti - Università degli Studi di Bologna # Network Entropy measures and their applications to different systemic perturbations of cell basal state #
The entropy of network ensembles SNE is related to the number of possible networks that satisfy some chosen constraints. Once given a real network, its main important features are encoded as constraints upon network ensembles. A high value of SNE means that a large number of networks satisfy the given constraints, thus the set of features associated to the observed network is not very particular (i.e. informative from an information theory point of view). On the contrary, for low entropy values, only few configurations can satisfy the given constraints, and there are less degrees of freedom.
We applied this measure to different biological designs (case-control and time series studies) where the parameter space represents the cell states. A high value SNE becomes usually associated to a high degree of plasticity for the system in this case, since a wide range of parameter values (e.g. gene expression profiles) are allowed to the cell. On the other hand, a low value of SNE can be interpreted as 1) the system has been more finely tuned or 2) the system has a smaller range available to its parameters
In collaboration with: G. Bianconi, E. Giampieri, G. Castellani and D. Remondini