Transitions from bursting to spiking due to depolarizing current in the Chay neuronal model

DOI10.1016/j.cnsns.2005.01.014zbMath1112.34322OpenAlexW2072840418MaRDI QIDQ857011

Zhuoqin Yang, Qi-Shao Lu

Publication date: 14 December 2006

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2005.01.014

zbMATH Keywords

bifurcationspikingfast/slow dynamic analysisursting

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (5)

Dynamics and transitions of firing patterns in deterministic and stochastic neuronal systems ⋮ Mixed stimulus-induced mode selection in neural activity driven by high and low frequency current under electromagnetic radiation ⋮ Bursting Types and Bifurcation Analysis in the Pre-Bötzinger Complex Respiratory Rhythm Neuron ⋮ Bursting patterns and mixed-mode oscillations in reduced Purkinje model ⋮ Effect of an autapse on the firing pattern transition in a bursting neuron

Cites Work

• Chaos in a three-variable model of an excitable cell
• Dissection of a model for neuronal parabolic bursting
• Analysis of bursting in a thalamic neuron model
• Topological and phenomenological classification of bursting oscillations
• Parabolic bursting revisited
• BURSTING, SPIKING, CHAOS, FRACTALS, AND UNIVERSALITY IN BIOLOGICAL RHYTHMS
• NEURAL EXCITABILITY, SPIKING AND BURSTING

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