pasteur-02022658
https://riip.hal.science/pasteur-02022658
https://riip.hal.science/pasteur-02022658/document
https://riip.hal.science/pasteur-02022658/file/Biological%20Networks.pdf
doi:10.3390/e20010036
[RIIP] Institut Pasteur RIIP (Réseau International)
[EPHE] École Pratique des Hautes Études
[CNRS] CNRS - Centre national de la recherche scientifique
[RIIP_TUNIS] Institut Pasteur de Tunis
[PSL] Université Paris sciences et lettres
[TEST-DEV] TEST-DEV
[EPHE-PSL] École pratique des hautes études - PSL
[ANR] ANR
Biological Networks Entropies: Examples in Neural Memory Networks, Genetic Regulation Networks and Social Epidemic Networks
Demongeot, Jacques
Jelassi, Mariem
Hazgui, Hana
Ben Miled, Slimane
Bellamine Ben Saoud, Narjès
Taramasco, Carla
[SDV] Life Sciences [q-bio]
ART
attractor entropy
entropy centrality
biological networks
dynamic entropy
isochronal entropy
robustness
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.
2018-01
2019-02-18
en
http://creativecommons.org/licenses/by/
Entropy
MDPI