The linear correlation coefficient is typically used to characterize and analyze dependencies of neural spike counts. Here, we show that the correlation coefficient is in general insufficient to characterize these dependencies. We construct two neuron spike count models with Poisson-like marginals and vary their dependence structure using copulas. To this end, we construct a copula that allows ...

The central purpose of this paper is to formulate and estimate a retirement model that also includes claiming of Social Security benefits as an outcome, and to use the model to inquire about the effects of various proposals to change the Social Security system. The forerunner to this work is a retirement model previously built to capture the spike in retirement at the Social Security early enti...

RetinotopicNET is an efficient simulator for neural architectures with retinotopic-like receptive fields. The system has two main characteristics: it is event-driven and it takes advantage of the retinotopic arrangement in the receptive fields. The dynamics of the simulator are driven by the spike events of the simple integrate-and-fire neurons. By using an implicit synaptic rule to represent t...

A novel statistical strategy, the spike jitter method, was developed to assess temporal structure in spike trains from neuronal ensembles. Its key feature is the introduction of a null hypothesis that assumes a uniform relative likelihood of observing a spike at one temporal location versus another within a small temporal window. We applied the method to simultaneously recorded motor cortical n...

In this paper we present the Spike algorithm of Sameh and Polizzi in the context of domain decomposition methods. We present several variants that differ in their treatment of the separators, showing that one of these is equivalent to the Spike algorithm. Eijkhout and van de Geijn Spike factorizations Figure 1: A one-dimensionally partitioned domain with 4 subdomains and 3 separators

It has been established that a neuron reproduces highly precise spike response to identical fluctuating input currents. We wish to accurately predict the firing times of a given neuron for any input current. For this purpose we adopt a model that mimics the dynamics of the membrane potential, and then take a cue from its dynamics for predicting the spike occurrence for a novel input current. It...

A recent experiment showed that neurons in the primary auditory cortex of the monkey do not change their mean firing rate during an ongoing tone stimulus. The only change was an enhanced correlation among the individual spike trains during the tone. We show that there is an easy way to extract this coherence information in the cortical cell population by projecting the spike trains through depr...