We show that the stochastic Morris-Lecar neuron, in a neighborhood of its stable point, can be approximated by a two-dimensional Ornstein-Uhlenbeck (OU) modulation of a constant circular motion. The associated radial OU process is an example of a leaky integrate-and-fire (LIF) model prior to firing. A new model constructed from a radial OU process together with a simple firing mechanism based o...

We propose a robust universal approach to identify multiple dynamical states, including stationary and travelling chimera states based on an adaptive coherence measure. Our allows automatic disambiguation of synchronized clusters, waves, asynchronous regimes. In addition, our method can determine the number clusters in case cluster synchronization. further couple with new speed calculation for ...

When does neuromodulation of a single neuron influence the output of the entire network? We constructed a five-cell circuit in which a neuron is at the center of the circuit and the remaining neurons form two distinct oscillatory subnetworks. All neurons were modeled as modified Morris– Lecar models with a hyperpolarization-activated conductance (ḡh) in addition to calcium (ḡCa), potassium (ḡK)...

When does neuromodulation of a single neuron influence the output of the entire network? We constructed a five-cell circuit in which a neuron is at the center of the circuit and the remaining neurons form two distinct oscillatory subnetworks. All neurons were modeled as modified Morris-Lecar models with a hyperpolarization-activated conductance (ḡh ) in addition to calcium (ḡCa ), potassium (ḡK...

The pyloric network of the stomatogastric ganglion of the lobster generates motor patterns with speciic phase-lags between single neurons. This network inspired us to investigate a simpliied model consisting of three mono-directionally coupled Morris-Lecar oscillators. We have systematically analyzed the high-dimensional space of the synaptic parameters and identiied parameter combinations whic...

Effects of distractions such as noises and heterogeneity in model parameters have been studied on the firing activity of ensemble neurons, each of which is described by the extended Morris-Lecar model showing the graded persisting firings with the aid of an included Ca 2+-dependent cation current. It has been shown that the graded persisting activity in an ensemble becomes more robust against d...