Approximating the phase response curves of square wave bursting neurons

Phase Response Curves of Square Wave Bursting Neurons: A Modeling Approach

We study the phase response properties of the PD neuron in the Stomato-gastric Ganglion (STG). We use model equations describing a square wave bursting oscillation to define and analyze the phase response dynamics for weak and strong perturbations. In the real and model neurons, we observe that the PRC saturates with amplitude. We show that for strong perturbations, much of the phase response i...

Phase synchronization in noise-driven bursting neurons.

The generation and synchronization of bursts are studied in intrinsically spiking neurons due to stimulation with random intracellular calcium fluctuations. It is demonstrated that sufficiently strong noise could induce qualitative change in the firing patterns of a single neuron from periodic spiking to bursting modes. The dynamical mechanism of noise-induced bursting is presented based on a g...

Chaotic phase synchronization in small-world networks of bursting neurons.

We investigate the chaotic phase synchronization in a system of coupled bursting neurons in small-world networks. A transition to mutual phase synchronization takes place on the bursting time scale of coupled oscillators, while on the spiking time scale, they behave asynchronously. It is shown that phase synchronization is largely facilitated by a large fraction of shortcuts, but saturates when...

Dissecting the Phase Response of a Model Bursting Neuron

We investigate the phase response properties of the Hindmarsh–Rose model of neuronal bursting using burst phase response curves (BPRCs) computed with an infinitesimal perturbation approximation and by direct simulation of synaptic input. The resulting BPRCs have a significantly more complicated structure than the usual Type I and Type II PRCs of spiking neuronal models, and they exhibit highly ...

Phase Response in Networks of Bursting Neurons: Modeling Central Pattern Generators