title: Neural networks with excitatory and inhibitory components: Direct and inverse problems by a mean-field approach.
abstract: We study the dynamics of networks with inhibitory and excitatory leak-integrate-and-fire neurons with short-term synaptic plasticity in the presence of depressive and facilitating mechanisms. The dynamics is analyzed by a heterogeneous mean-field approximation, which allows us to keep track of the effects of structural disorder in the network. We describe the complex behavior of different classes of excitatory and inhibitory components, which give rise to a rich dynamical phase diagram as a function of the fraction of inhibitory neurons. Using the same mean-field approach, we study and solve a global inverse problem: reconstructing the degree probability distributions of the inhibitory and excitatory components and the fraction of inhibitory neurons from the knowledge of the average synaptic activity field. This approach unveils new perspectives on the numerical study of neural network dynamics and the possibility of using these models as a test bed for the analysis of experimental data.
authors: Group for Neural Theory, Departément des Etudes Cognitives, Ecole Normale Supérieure, Paris, France.|Centro Interdipartimentale per lo Studio delle Dinamiche Complesse, via Sansone 1, 50019 Sesto Fiorentino, Italy.|Indiana University-Purdue University, Indianapolis, Indiana 46202, USA.
authors: Matteo
authors: M
authors: di Volo
authors: Dipartimento di Fisica e Scienza della Terra, Università di Parma, via G.P. Usberti 7/A, 43124 Parma, Italy.|INFN, Gruppo Collegato di Parma, via G.P. Usberti 7/A, 43124 Parma, Italy.
authors: Raffaella
authors: R
authors: Burioni
authors: Dipartimento di Fisica e Scienza della Terra, Università di Parma, via G.P. Usberti 7/A, 43124 Parma, Italy.|INFN, Gruppo Collegato di Parma, via G.P. Usberti 7/A, 43124 Parma, Italy.
authors: Mario
authors: M
authors: Casartelli
authors: Centro Interdipartimentale per lo Studio delle Dinamiche Complesse, via Sansone 1, 50019 Sesto Fiorentino, Italy.|Dipartimento di Fisica, Università di Firenze, via Sansone 1, 50019 Sesto Fiorentino, Italy.|Istituto dei Sistemi Complessi, CNR, via Madonna del Piano 10, 50019 Sesto Fiorentino, Italy.|INFN Sez. Firenze, via Sansone 1, 50019 Sesto Fiorentino, Italy.
authors: Roberto
authors: R
authors: Livi
authors: Dipartimento di Fisica e Scienza della Terra, Università di Parma, via G.P. Usberti 7/A, 43124 Parma, Italy.|S3, CNR Istituto di Nanoscienze, Via Campi 213A, 41125 Modena, Italy.
authors: Alessandro
authors: A
authors: Vezzani