Biological Networks Entropies: Examples in Neural Memory Networks, Genetic Regulation Networks and Social Epidemic Networks

Jacques Demongeot (1, 2) , Mariem Jelassi (3, 1, 2) , Hana Hazgui (1) , Slimane Ben Miled (3) , Narjès Bellamine Ben Saoud (4) , Carla Taramasco (2)

1 AGIM - AGeing and IMagery
2 Universidad de Valparaiso [Chile]
3 LR11IPT09 - Laboratoire de Bioinformatique, biomathématiques, biostatistiques (BIMS)
4 RIADI - Laboratoire de recherche en Génie Logiciel, Applications distribuées, Systèmes décisionnels et Imagerie intelligente [Manouba]

Networks used in biological applications at different scales (molecule, cell and population) are of different types: neuronal, genetic, and social, but they share the same dynamical concepts, in their continuous differential versions (e.g., non-linear Wilson-Cowan system) as well as in their discrete Boolean versions (e.g., non-linear Hopfield system); in both cases, the notion of interaction graph G(J) associated to its Jacobian matrix J, and also the concepts of frustrated nodes, positive or negative circuits of G(J), kinetic energy, entropy, attractors, structural stability, etc., are relevant and useful for studying the dynamics and the robustness of these systems. We will give some general results available for both continuous and discrete biological networks, and then study some specific applications of three new notions of entropy: (i) attractor entropy, (ii) isochronal entropy and (iii) entropy centrality; in three domains: a neural network involved in the memory evocation, a genetic network responsible of the iron control and a social network accounting for the obesity spread in high school environment.

Mots clés: attractor entropy; entropy centrality; biological networks; dynamic entropy; isochronal entropy; robustness

Domaines: Sciences du Vivant [q-bio]

Jacques Demongeot, Mariem Jelassi, Hana Hazgui, Slimane Ben Miled, Narjès Bellamine Ben Saoud, et al.. Biological Networks Entropies: Examples in Neural Memory Networks, Genetic Regulation Networks and Social Epidemic Networks. Entropy, 2018, 20 (1), pp.36. ⟨10.3390/e20010036⟩. ⟨pasteur-02022658⟩