The geometry of rest-spike bistability.
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Cirillo, Giuseppe Ilario https://orcid.org/0000-0002-1162-3225
Sepulchre, Rodolphe
Abstract
Morris-Lecar model is arguably the simplest dynamical model that retains both the slow-fast geometry of excitable phase portraits and the physiological interpretation of a conductance-based model. We augment this model with one slow inward current to capture the additional property of bistability between a resting state and a spiking limit cycle for a range of input current. The resulting dynamical system is a core structure for many dynamical phenomena such as slow spiking and bursting. We show how the proposed model combines physiological interpretation and mathematical tractability and we discuss the benefits of the proposed approach with respect to alternative models in the literature.
Description
Keywords
Neuronal models, Rest–spike bistability, Slow–fast models
Journal Title
J Math Neurosci
Conference Name
Journal ISSN
2190-8567
2190-8567
2190-8567
Volume Title
10
Publisher
Springer Science and Business Media LLC
Publisher DOI
Sponsorship
European Research Council (670645)