Estimating the population activity patterns between two or more spike trains is a fundamental problem in studying neural coding in computational neuroscience. In recent years, there are many different methods proposed to build a framework to deal with these problems by using spike train metric. Here we suggest a kernel method for multichannel spike trains that can provide an opportunity to meas...

A dynamic system showing stable rhythmic activity can be represented by the dynamics of phase oscillators. This would provide a useful mathematical framework through which one can understand the system's dynamic properties. A recent study proposed a Bayesian approach capable of extracting the underlying phase dynamics directly from time-series data of a system showing rhythmic activity. Here we...

Fast spike correlation is a signature of neural ensemble activity thought to underlie perception, cognition, and action. To relate spike correlation to tuning and other factors, we focused on spontaneous activity because it is the common 'baseline' across studies that test different stimuli, and because variations in correlation strength are much larger across cell pairs than across stimuli. Is...

A large body of recent work has focused on methods for identifying lowdimensional latent structure in multi-neuron spike train data. Most such methods have employed either linear latent dynamics or linear (or log-linear) mappings from a latent space to spike rates. Here we propose a doubly nonlinear latent variable model for population spike trains that can identify nonlinear low-dimensional st...

lead to continuing effects for increasing extensive of yield by means of advanced agronomic operations and selection of high yielding resistant genotypes. there fore, due to evaluation and determination of best effective traits in improvement of yield and grain quality of local populations of winter wheat, an experiment was carried out in uremia agricultural research station, on 30 local popula...

The retina’s visual message is transmitted to the brain by ganglion cells that integrate noisy synaptic inputs to create a spike train. We asked how efficiently the retinal ganglion cell spike generator creates the spike train message. Intracellular and extracellular recordings were made from in vitro guinea pig retina, in response to a spot of light flashed over the receptive field center. Res...

We propose a biophysical mechanism for the high interspike interval variability observed in cortical spike trains. The key lies in the nonlinear dynamics of cortical spike generation, which are consistent with type I membranes where saddle-node dynamics underlie excitability (Rinzel & Ermentrout, 1989). We present a canonical model for type I membranes, the theta-neuron. The theta-neuron is a p...