title: Heterogeneous mean field for neural networks with short-term plasticity.
abstract: We report about the main dynamical features of a model of leaky integrate-and-fire excitatory neurons with short-term plasticity defined on random massive networks. We investigate the dynamics by use of a heterogeneous mean-field formulation of the model that is able to reproduce dynamical phases characterized by the presence of quasisynchronous events. This formulation allows one to solve also the inverse problem of reconstructing the in-degree distribution for different network topologies from the knowledge of the global activity field. We study the robustness of this inversion procedure by providing numerical evidence that the in-degree distribution can be recovered also in the presence of noise and disorder in the external currents. Finally, we discuss the validity of the heterogeneous mean-field approach for sparse networks with a sufficiently large average in-degree.
authors.affiliation: Dipartimento di Fisica e Scienza della Terra, Università di Parma, via G.P. Usberti, 7/A-43124, Parma, Italy and Centro Interdipartimentale per lo Studio delle Dinamiche Complesse, via Sansone, 1-50019 Sesto Fiorentino, Italy and INFN, Gruppo Collegato di Parma, via G.P. Usberti, 7/A-43124, Parma, Italy.
authors.forename: Matteo
authors.initials: M
authors.lastname: di Volo
authors.affiliation: Dipartimento di Fisica e Scienza della Terra, Università di Parma, via G.P. Usberti, 7/A-43124, Parma, Italy and INFN, Gruppo Collegato di Parma, via G.P. Usberti, 7/A-43124, Parma, Italy.
authors.forename: Raffaella
authors.initials: R
authors.lastname: Burioni
authors.affiliation: Dipartimento di Fisica e Scienza della Terra, Università di Parma, via G.P. Usberti, 7/A-43124, Parma, Italy and INFN, Gruppo Collegato di Parma, via G.P. Usberti, 7/A-43124, Parma, Italy.
authors.forename: Mario
authors.initials: M
authors.lastname: Casartelli
authors.affiliation: Centro Interdipartimentale per lo Studio delle Dinamiche Complesse, via Sansone, 1-50019 Sesto Fiorentino, Italy and Dipartimento di Fisica, Università di Firenze, via Sansone, 1-50019 Sesto Fiorentino, Italy and Istituto dei Sistemi Complessi, CNR, via Madonna del Piano 10-50019 Sesto Fiorentino, Italy and INFN Sez. Firenze, via Sansone, 1-50019 Sesto Fiorentino, Italy.
authors.forename: Roberto
authors.initials: R
authors.lastname: Livi
authors.affiliation: Dipartimento di Fisica e Scienza della Terra, Università di Parma, via G.P. Usberti, 7/A-43124, Parma, Italy and S3, CNR Istituto di Nanoscienze, Via Campi, 213A-41125 Modena, Italy.
authors.forename: Alessandro
authors.initials: A
authors.lastname: Vezzani
mesh_terms: D000200:Action Potentials; D000465:Algorithms; D008959:Models, Neurological; D009473:Neuronal Plasticity; D009474:Neurons / Q000502:physiology; D011336:Probability