title: Phase diagrams and dynamics of a computationally efficient map-based neuron model.
abstract: We introduce a new map-based neuron model derived from the dynamical perceptron family that has the best compromise between computational efficiency, analytical tractability, reduced parameter space and many dynamical behaviors. We calculate bifurcation and phase diagrams analytically and computationally that underpins a rich repertoire of autonomous and excitable dynamical behaviors. We report the existence of a new regime of cardiac spikes corresponding to nonchaotic aperiodic behavior. We compare the features of our model to standard neuron models currently available in the literature.
authors.affiliation: Neuroimaging of Epilepsy Laboratory, McConnell Brain Imaging Center, McGill University, Montreal Neurological Institute and Hospital, H3A 2B4, Montreal, Quebec, Canada.
authors.forename: Mauricio
authors.identifier: http://orcid.org/0000-0002-9111-4905
authors.initials: M
authors.lastname: Girardi-Schappo
authors.affiliation: Departamento de Física, Universidade Federal de Santa Catarina, 88040-900, Florianópolis, Santa Catarina, Brazil.
authors.forename: Germano S
authors.identifier: http://orcid.org/0000-0001-9260-5629
authors.initials: GS
authors.lastname: Bortolotto
authors.affiliation: Departamento de Física, Universidade Federal de Santa Catarina, 88040-900, Florianópolis, Santa Catarina, Brazil.
authors.forename: Rafael V
authors.identifier: http://orcid.org/0000-0002-4399-6683
authors.initials: RV
authors.lastname: Stenzinger
authors.affiliation: Departamento de Física, Universidade Federal de Santa Catarina, 88040-900, Florianópolis, Santa Catarina, Brazil.
authors.forename: Jheniffer J
authors.initials: JJ
authors.lastname: Gonsalves
authors.affiliation: Departamento de Física, Universidade Federal de Santa Catarina, 88040-900, Florianópolis, Santa Catarina, Brazil.
authors.forename: Marcelo H R
authors.initials: MH
authors.lastname: Tragtenberg
mesh_terms: D000200:Action Potentials / Q000502:physiology; D019295:Computational Biology; D006801:Humans; D008564:Membrane Potentials / Q000502:physiology; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D009474:Neurons / Q000502:physiology*