We use mathematical analysis and numerical simulations to study the effects of recurrent synaptic connections in neural networks. These recurrent effects can be analyzed by expanding a spike probability function about the membrane potential in the absence of connections. This expansion can be...

In this paper, we evaluate numerically the influence of the changes of the neuron shape on the firing characteristics. We construct a new neuronal model of the pyramidal cell at the CA3 hippocampus based on the compartmental model to analyze quantitatively the firing characteristics. We find the...

An important approach in visual neuroscience considers how the processing of the early visual system is dependent on the statistics of the natural environment. A particularly influential model in this respect has been sparse coding. In this paper we argue for a non-negative variant of the model....

Properly tuned receptive fields in feed-forward networks depend on topographical input (afferent cells with properly tuned receptive fields connect topographically to their postsynaptic partners with little or no convergence/divergence) or on attractor network dynamics provided by specfic...

The neural substrate of working memory is an important issue in neuroscience. An important candidate for this at the moment is delay activity. A model of delay activity was given by Amit & Brunel (1997). Recently, Knight and others introduced a novel simulation technique that describes the...

We present a model of visual working memory in ventral prefrontal cortex. Activation in ventral PFC consists of reverberating activity. Representations in ventral PFC are conjunctions of location and (partial) identity representations. With many objects, representations in ventral PFC interfere,...

In many neurophysiological studies researchers must separate different parts of complex currents. To reveal different components of currents they usually use the application of pharmacological substances. But in some cases, method of pharmacological separation may be not ideal due to...

We analyzed the oscillatory activities in a neuronal network model as the basis of synchrony of the activities in the brain. The model consists of two groups of neurons which are interconnected. One group is composed of an excitatory and an inhibitory neuron which are expressed by Hodgkin-Huxley...

It has been argued that the retinotopic organization of primary visual cortex must be genetically determined ratherthan learned, because cortical retinotopy is fully established before the onset of patterned vision. However, retinal waves of traveling burst spiking characterize the embryonic...