Long Time Behavior of an Age- and Leaky Memory-Structured Neuronal Population Equation
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We derive and study two-dimensional generalizations of integrate-and-fire models which can be found from a piecewise linear idealization of the FitzHugh-Nagumo or Morris-Lecar model. These models give rise to new properties not present in one-dimensional i ...
A correlation-based (Hebbian'') learning rule at the spike level is formulated, mathematically analyzed, and compared with learning in a firing-rate description. As for spike coding, we take advantage of a learning window'' that describes the effect of ...
The nature of information stemming from a single neuron and conveyed simultaneously to several hundred target neurons is not known. Triple and quadruple neuron recordings revealed that each synaptic connection established by neocortical pyramidal neurons i ...
Although signaling between neurons is central to the functioning of the brain, we still do not understand how the code used in signaling depends on the properties of synaptic transmission. Theoretical analysis combined with patch clamp recordings from pair ...
The influence of the fluctuations on the dynamics of open macroscopic systems is analysed for a class of two dimensional examples. The amplitudes of the fluctuations are themselves dependent on the macro-variables. It is shown that such random noises can g ...