title: Synchronised firing patterns in a random network of adaptive exponential integrate-and-fire neuron model.
abstract: We have studied neuronal synchronisation in a random network of adaptive exponential integrate-and-fire neurons. We study how spiking or bursting synchronous behaviour appears as a function of the coupling strength and the probability of connections, by constructing parameter spaces that identify these synchronous behaviours from measurements of the inter-spike interval and the calculation of the order parameter. Moreover, we verify the robustness of synchronisation by applying an external perturbation to each neuron. The simulations show that bursting synchronisation is more robust than spike synchronisation.
authors.affiliation: Instituto de Física, Universidade de São Paulo, São Paulo, SP, Brazil. Electronic address: fernandodasilvaborges@gmail.com.
authors.forename: F S
authors.initials: FS
authors.lastname: Borges
authors.affiliation: Pós-Graduação em Ciências/Física, Universidade Estadual de Ponta Grossa, Ponta Grossa, PR, Brazil.
authors.forename: P R
authors.initials: PR
authors.lastname: Protachevicz
authors.affiliation: Pós-Graduação em Ciências/Física, Universidade Estadual de Ponta Grossa, Ponta Grossa, PR, Brazil.
authors.forename: E L
authors.initials: EL
authors.lastname: Lameu
authors.affiliation: Pós-Graduação em Ciências/Física, Universidade Estadual de Ponta Grossa, Ponta Grossa, PR, Brazil.
authors.forename: R C
authors.initials: RC
authors.lastname: Bonetti
authors.affiliation: Instituto de Física, Universidade de São Paulo, São Paulo, SP, Brazil; Institute for Complex Systems and Mathematical Biology, Aberdeen, SUPA, UK. Electronic address: kiarosz@gmail.com.
authors.forename: K C
authors.initials: KC
authors.lastname: Iarosz
authors.affiliation: Instituto de Física, Universidade de São Paulo, São Paulo, SP, Brazil.
authors.forename: I L
authors.initials: IL
authors.lastname: Caldas
authors.affiliation: Institute for Complex Systems and Mathematical Biology, Aberdeen, SUPA, UK.
authors.forename: M S
authors.initials: MS
authors.lastname: Baptista
authors.affiliation: Instituto de Física, Universidade de São Paulo, São Paulo, SP, Brazil; Pós-Graduação em Ciências/Física, Universidade Estadual de Ponta Grossa, Ponta Grossa, PR, Brazil; Institute for Complex Systems and Mathematical Biology, Aberdeen, SUPA, UK; Departamento de Matemática e Estatística, Universidade Estadual de Ponta Grossa, Ponta Grossa, PR, Brazil. Electronic address: antoniomarcosbatista@gmail.com.
authors.forename: A M
authors.initials: AM
authors.lastname: Batista
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D006801:Humans; D008959:Models, Neurological; D016571:Neural Networks, Computer; D009474:Neurons / Q000502:physiology*; D011336:Probability
keywords: Integrate-and-fire; Network; Synchronisation